Machine learning combines techniques from statistics and artificial intelligence to create algorithms that can learn from empirical data and generalize to solve problems in various domains such as natural language processing, financial fraud detection, terrorism threat level detection, human health diagnosis and the like. In recent years, more and more raw data that can potentially be utilized for machine learning models is being collected from a large variety of sources, such as sensors of various kinds, web server logs, social media services, financial transaction records, security cameras, and the like.
Traditionally, expertise in statistics and in artificial intelligence has been a prerequisite for developing and using machine learning models. For many business analysts and even for highly qualified subject matter experts, the difficulty of acquiring such expertise is sometimes too high a barrier to be able to take full advantage of the large amounts of data potentially available to make improved business predictions and decisions. Furthermore, many machine learning techniques can be computationally intensive, and in at least some cases it can be hard to predict exactly how much computing power may be required for various phases of the techniques. Given such unpredictability, it may not always be advisable or viable for business organizations to build out their own machine learning computational facilities.
The quality of the results obtained from machine learning algorithms may depend on how well the empirical data used for training the models captures key relationships among different variables represented in the data, and on how effectively and efficiently these relationships can be identified. Depending on the nature of the problem that is to be solved using machine learning, very large data sets may have to be analyzed in order to be able to make accurate predictions, especially predictions of relatively infrequent but significant events. For example, in financial fraud detection applications, where the number of fraudulent transactions is typically a very small fraction of the total number of transactions, identifying factors that can be used to label a transaction as fraudulent may potentially require analysis of millions of transaction records, each representing dozens or even hundreds of variables. Constraints on raw input data set size, cleansing or normalizing large numbers of potentially incomplete or error-containing records, and/or on the ability to extract representative subsets of the raw data also represent barriers that are not easy to overcome for many potential beneficiaries of machine learning techniques. For many machine learning problems, transformations may have to be applied on various input data variables before the data can be used effectively to train models. In some traditional machine learning environments, the mechanisms available to apply such transformations may be less than optimal—e.g., similar transformations may sometimes have to be applied one by one to many different variables of a data set, potentially requiring a lot of tedious and error-prone work.
While embodiments are described herein by way of example for several embodiments and illustrative drawings, those skilled in the art will recognize that embodiments are not limited to the embodiments or drawings described. It should be understood, that the drawings and detailed description thereto are not intended to limit embodiments to the particular form disclosed, but on the contrary, the intention is to cover all modifications, equivalents and alternatives falling within the spirit and scope as defined by the appended claims. The headings used herein are for organizational purposes only and are not meant to be used to limit the scope of the description or the claims. As used throughout this application, the word “may” is used in a permissive sense (i.e., meaning having the potential to), rather than the mandatory sense (i.e., meaning must). Similarly, the words “include,” “including,” and “includes” mean including, but not limited to.
Various embodiments of methods and apparatus for a customizable, easy-to-use machine learning service (MLS) designed to support large numbers of users and a wide variety of algorithms and problem sizes are described. In one embodiment, a number of MLS programmatic interfaces (such as application programming interfaces (APIs)) may be defined by the service, which guide non-expert users to start using machine learning best practices relatively quickly, without the users having to expend a lot of time and effort on tuning models, or on learning advanced statistics or artificial intelligence techniques. The interfaces may, for example, allow non-experts to rely on default settings or parameters for various aspects of the procedures used for building, training and using machine learning models, where the defaults are derived from the accumulated experience of other practitioners addressing similar types of machine learning problems. At the same time, expert users may customize the parameters or settings they wish to use for various types of machine learning tasks, such as input record handling, feature processing, model building, execution and evaluation. In at least some embodiments, in addition to or instead of using pre-defined libraries implementing various types of machine learning tasks, MLS clients may be able to extend the built-in capabilities of the service, e.g., by registering their own customized functions with the service. Depending on the business needs or goals of the clients that implement such customized modules or functions, the modules may in some cases be shared with other users of the service, while in other cases the use of the customized modules may be restricted to their implementers/owners.
In some embodiments, a relatively straightforward recipe language may be supported, allowing MLS users to indicate various feature processing steps that they wish to have applied on data sets. Such recipes may be specified in text format, and then compiled into executable formats that can be re-used with different data sets on different resource sets as needed. In at least some embodiments, the MLS may be implemented at a provider network that comprises numerous data centers with hundreds of thousands of computing and storage devices distributed around the world, allowing machine learning problems with terabyte-scale or petabyte-scale data sets and correspondingly large compute requirements to be addressed in a relatively transparent fashion while still ensuring high levels of isolation and security for sensitive data. Pre-existing services of the provider network, such as storage services that support arbitrarily large data objects accessible via web service interfaces, database services, virtual computing services, parallel-computing services, high-performance computing services, load-balancing services, and the like may be used for various machine learning tasks in at least some embodiments. For MLS clients that have high availability and data durability requirements, machine learning data (e.g., raw input data, transformed/manipulated input data, intermediate results, or final results) and/or models may be replicated across different geographical locations or availability containers as described below. To meet an MLS client's data security needs, selected data sets, models or code implementing user-defined functions or third-party functions may be restricted to security containers defined by the provider network in some embodiments, in which for example the client's machine learning tasks are executed in an isolated, single-tenant fashion instead of the multi-tenant approach that may typically be used for some of the provider network's services. The term “MLS control plane” may be used herein to refer to a collection of hardware and/or software entities that are responsible for implementing various types of machine learning functionality on behalf of clients of the MLS, and for administrative tasks not necessarily visible to external MLS clients, such as ensuring that an adequate set of resources is provisioned to meet client demands, detecting and recovering from failures, generating bills, and so on. The term “MLS data plane” may refer to the pathways and resources used for the processing, transfer, and storage of the input data used for client-requested operations, as well as the processing, transfer and storage of output data produced as a result of client-requested operations.
According to some embodiments, a number of different types of entities related to machine learning tasks may be generated, modified, read, executed, and/or queried/searched via MLS programmatic interfaces. Supported entity types in one embodiment may include, among others, data sources (e.g., descriptors of locations or objects from which input records for machine learning can be obtained), sets of statistics generated by analyzing the input data, recipes (e.g., descriptors of feature processing transformations to be applied to input data for training models), processing plans (e.g., templates for executing various machine learning tasks), models (which may also be referred to as predictors), parameter sets to be used for recipes and/or models, model execution results such as predictions or evaluations, online access points for models that are to be used on streaming or real-time data, and/or aliases (e.g., pointers to model versions that have been “published” for use as described below). Instances of these entity types may be referred to as machine learning artifacts herein—for example, a specific recipe or a specific model may each be considered an artifact. Each of the entity types is discussed in further detail below.
The MLS programmatic interfaces may enable users to submit respective requests for several related tasks of a given machine learning workflow, such as tasks for extracting records from data sources, generating statistics on the records, feature processing, model training, prediction, and so on. A given invocation of a programmatic interface (such as an API) may correspond to a request for one or more operations or tasks on one or more instances of a supported type of entity. Some tasks (and the corresponding APIs) may involve multiple different entity types—e.g., an API requesting a creation of a data source may result in the generation of a data source entity instance as well as a statistics entity instance. Some of the tasks of a given workflow may be dependent on the results of other tasks. Depending on the amount of data, and/or on the nature of the processing to be performed, some tasks may take hours or even days to complete. In at least some embodiments, an asynchronous approach may be taken to scheduling the tasks, in which MLS clients can submit additional tasks that depend on the output of earlier-submitted tasks without waiting for the earlier-submitted tasks to complete. For example, a client may submit respective requests for tasks T2 and T3 before an earlier-submitted task T1 completes, even though the execution of T2 depends at least partly on the results of T1, and the execution of T3 depends at least partly on the results of T2. In such embodiments, the MLS may take care of ensuring that a given task is scheduled for execution only when its dependencies (if any dependencies exist) have been met.
A queue or collection of job objects may be used for storing internal representations of requested tasks in some implementations. The term “task”, as used herein, refers to a set of logical operations corresponding to a given request from a client, while the term “job” refers to the internal representation of a task within the MLS. In some embodiments, a given job object may represent the operations to be performed as a result of a client's invocation of a particular programmatic interface, as well as dependencies on other jobs. The MLS may be responsible for ensuring that the dependencies of a given job have been met before the corresponding operations are initiated. The MLS may also be responsible in such embodiments for generating a processing plan for each job, identifying the appropriate set of resources (e.g., CPUs/cores, storage or memory) for the plan, scheduling the execution of the plan, gathering results, providing/saving the results in an appropriate destination, and at least in some cases for providing status updates or responses to the requesting clients. The MLS may also be responsible in some embodiments for ensuring that the execution of one client's jobs do not affect or interfere with the execution of other clients' jobs. In some embodiments, partial dependencies among tasks may be supported—e.g., in a sequence of tasks (T1, T2, T3), T2 may depend on partial completion of T1, and T2 may therefore be scheduled before T1 completes. For example, T1 may comprise two phases or passes P1 and P2 of statistics calculations, and T2 may be able to proceed as soon as phase P1 is completed, without waiting for phase P2 to complete. Partial results of T1 (e.g., at least some statistics computed during phase P1) may be provided to the requesting client as soon as they become available in some cases, instead of waiting for the entire task to be completed. A single shared queue that includes jobs corresponding to requests from a plurality of clients of the MLS may be used in some implementations, while in other implementations respective queues may be used for different clients. In some implementations, lists or other data structures that can be used to model object collections may be used as containers of to-be-scheduled jobs instead of or in addition to queues. In some embodiments, a single API request from a client may lead to the generation of several different job objects by the MLS. In at least one embodiment, not all client API requests may be implemented using jobs—e.g., a relatively short or lightweight task may be performed synchronously with respect to the corresponding request, without incurring the overhead of job creation and asynchronous job scheduling.
The APIs implemented by the MLS may in some embodiments allow clients to submit requests to create, query the attributes of, read, update/modify, search, or delete an instance of at least some of the various entity types supported. For example, for the entity type “DataSource”, respective APIs similar to “createDataSource”, “describeDataSource” (to obtain the values of attributes of the data source), “updateDataSource”, “searchForDataSource”, and “deleteDataSource” may be supported by the MLS. A similar set of APIs may be supported for recipes, models, and so on. Some entity types may also have APIs for executing or running the entities, such as “executeModel” or “executeRecipe” in various embodiments. The APIs may be designed to be largely easy to learn and self-documenting (e.g., such that the correct way to use a given API is obvious to non-experts), with an emphasis on making it simple to perform the most common tasks without making it too hard to perform more complex tasks. In at least some embodiments multiple versions of the APIs may be supported: e.g., one version for a wire protocol (at the application level of a networking stack), another version as a Java™ library or SDK (software development kit), another version as a Python library, and so on. API requests may be submitted by clients using HTTP (Hypertext Transfer Protocol), HTTPS (secure HTTP), Javascript, XML, or the like in various implementations.
In some embodiments, some machine learning models may be created and trained, e.g., by a group of model developers or data scientists using the MLS APIs, and then published for use by another community of users. In order to facilitate publishing of models for use by a wider audience than just the creators of the model, while preventing potentially unsuitable modifications to the models by unskilled members of the wider audience, the “alias” entity type may be supported in such embodiments. In one embodiment, an alias may comprise an immutable name (e.g., “SentimentAnalysisModel1”) and a pointer to a model that has already been created and stored in an MLS artifact repository (e.g., “samModel-23adf-2013-12-13-08-06-01”, an internal identifier generated for the model by the MLS). Different sets of permissions on aliases may be granted to model developers than are granted to the users to whom the aliases are being made available for execution. For example, in one implementation, members of a business analyst group may be allowed to run the model using its alias name, but may not be allowed to change the pointer, while model developers may be allowed to modify the pointer and/or modify the underlying model. For the business analysts, the machine learning model exposed via the alias may represent a “black box” tool, already validated by experts, which is expected to provide useful predictions for various input data sets. The business analysts may not be particularly concerned about the internal working of such a model. The model developers may continue to experiment with various algorithms, parameters and/or input data sets to obtain improved versions of the underlying model, and may be able to change the pointer to point to an enhanced version to improve the quality of predictions obtained by the business analysts. In at least some embodiments, to isolate alias users from changes to the underlying models, the MLS may guarantee that (a) an alias can only point to a model that has been successfully trained and (b) when an alias pointer is changed, both the original model and the new model (i.e., the respective models being pointed to by the old pointer and the new pointer) consume the same type of input and provide the same type of prediction (e.g., binary classification, multi-class classification or regression). In some implementations, a given model may itself be designated as un-modifiable if an alias is created for it—e.g., the model referred to by the pointer “samModel-23adf-2013-12-13-08-06-01” may no longer be modified even by its developers after the alias is created in such an implementation. Such clean separation of roles and capabilities with respect to model development and use may allow larger audiences within a business organization to benefit from machine learning models than simply those skilled enough to develop the models.
A number of choices may be available with respect to the manner in which the operations corresponding to a given job are mapped to MLS servers. For example, it may be possible to partition the work required for a given job among many different servers to achieve better performance. As part of developing the processing plan for a job, the MLS may select a workload distribution strategy for the job in some embodiments. The parameters determined for workload distribution in various embodiments may differ based on the nature of the job. Such factors may include, for example, (a) determining a number of passes of processing, (b) determining a parallelization level (e.g., the number of “mappers” and “reducers” in the case of a job that is to be implemented using the Map-Reduce technique), (c) determining a convergence criterion to be used to terminate the job, (d) determining a target durability level for intermediate data produced during the job, or (e) determining a resource capacity limit for the job (e.g., a maximum number of servers that can be assigned to the job based on the number of servers available in MLS server pools, or on the client's budget limit). After the workload strategy is selected, the actual set of resources to be used may be identified in accordance with the strategy, and the job's operations may be scheduled on the identified resources. In some embodiments, a pool of compute servers and/or storage servers may be pre-configured for the MLS, and the resources for a given job may be selected from such a pool. In other embodiments, the resources may be selected from a pool assigned to the client on whose behalf the job is to be executed—e.g., the client may acquire resources from a computing service of the provider network prior to submitting API requests, and may provide an indication of the acquired resources to the MLS for job scheduling. If client-provided code (e.g., code that has not necessarily been thoroughly tested by the MLS, and/or is not included in the MLS's libraries) is being used for a given job, in some embodiments the client may be required to acquire the resources to be used for the job, so that any side effects of running the client-provided code may be restricted to the client's own resources instead of potentially affecting other clients.
As mentioned earlier, each job object may indicate one or more operations that are to be performed as a result of the invocation of a programmatic interface 161, and the scheduling of a given job may in some cases depend upon the successful completion of at least a subset of the operations of an earlier-generated job. In at least some implementations, job queue 142 may be managed as a first-in-first-out (FIFO) queue, with the further constraint that the dependency requirements of a given job must have been met in order for that job to be removed from the queue. In some embodiments, jobs created on behalf of several different clients may be placed in a single queue, while in other embodiments multiple queues may be maintained (e.g., one queue in each data center of the provider network being used, or one queue per MLS customer). Asynchronously with respect to the submission of the requests 111, the next job whose dependency requirements have been met may be removed from job queue 142 in the depicted embodiment, as indicated by arrow 113, and a processing plan comprising a workload distribution strategy may be identified for it. The workload distribution strategy layer 175, which may also be a component of the MLS control plane as mentioned earlier, may determine the manner in which the lower level operations of the job are to be distributed among one or more compute servers (e.g., servers selected from pool 185), and/or the manner in which the data analyzed or manipulated for the job is to be distributed among one or more storage devices or servers. After the processing plan has been generated and the appropriate set of resources to be utilized for the job has been identified, the job's operations may be scheduled on the resources. Results of some jobs may be stored as MLS artifacts within repository 120 in some embodiments, as indicated by arrow 142.
In at least one embodiment, some relatively simple types of client requests 111 may result in the immediate generation, retrieval, storage, or modification of corresponding artifacts within MLS artifact repository 120 by the MLS request handler 180 (as indicated by arrow 141). Thus, the insertion of a job object in job queue 142 may not be required for all types of client requests. For example, a creation or removal of an alias for an existing model may not require the creation of a new job in such embodiments. In the embodiment shown in
A client request 111 may indicate one or more parameters that may be used by the MLS to perform the operations, such as a data source definition 150, a feature processing transformation recipe 152, or parameters 154 to be used for a particular machine learning algorithm. In some embodiments, artifacts respectively representing the parameters may also be stored in repository 120. Some machine learning workflows, which may correspond to a sequence of API requests from a client 164, may include the extraction and cleansing of input data records from raw data repositories 130 (e.g., repositories indicated in data source definitions 150) by input record handlers 160 of the MLS, as indicated by arrow 114. This first portion of the workflow may be initiated in response to a particular API invocation from a client 164, and may be executed using a first set of resources from pool 185. The input record handlers may, for example, perform such tasks as splitting the data records, sampling the data records, and so on, in accordance with a set of functions defined in an I/O (input/output) library of the MLS. The input data may comprise data records that include variables of any of a variety of data types, such as, for example text, a numeric data type (e.g., real or integer), Boolean, a binary data type, a categorical data type, an image processing data type, an audio processing data type, a bioinformatics data type, a structured data type such as a data type compliant with the Unstructured Information Management Architecture (UIMA), and so on. In at least some embodiments, the input data reaching the MLS may be encrypted or compressed, and the MLS input data handling machinery may have to perform decryption or decompression before the input data records can be used for machine learning tasks. In some embodiments in which encryption is used, MLS clients may have to provide decryption metadata (e.g., keys, passwords, or other credentials) to the MLS to allow the MLS to decrypt data records. Similarly, an indication of the compression technique used may be provided by the clients in some implementations to enable the MLS to decompress the input data records appropriately. The output produced by the input record handlers may be fed to feature processors 162 (as indicated by arrow 115), where a set of transformation operations may be performed 162 in accordance with recipes 152 using another set of resources from pool 185. Any of a variety of feature processing approaches may be used depending on the problem domain: e.g., the recipes typically used for computer vision problems may differ from those used for voice recognition problems, natural language processing, and so on. The output 116 of the feature processing transformations may in turn be used as input for a selected machine learning algorithm 166, which may be executed in accordance with algorithm parameters 154 using yet another set of resources from pool 185. A wide variety of machine learning algorithms may be supported natively by the MLS libraries, including for example random forest algorithms, neural network algorithms, stochastic gradient descent algorithms, and the like. In at least one embodiment, the MLS may be designed to be extensible—e.g., clients may provide or register their own modules (which may be defined as user-defined functions) for input record handling, feature processing, or for implementing additional machine learning algorithms than are supported natively by the MLS. In some embodiments, some of the intermediate results (e.g., summarized statistics produced by the input record handlers) of a machine learning workflow may be stored in MLS artifact repository 120.
In the embodiment depicted in
In the embodiment shown in
Storage service 252 may, for example, implement a web services interface that can be used to create and manipulate unstructured data objects of arbitrary size. Database service 255 may implement either relational or non-relational databases. The storage service 252 and/or the database service 255 may play a variety of roles with respect to the MLS in the depicted embodiment. The MLS may require clients 164 to define data sources within the provider network boundary for their machine learning tasks in some embodiments. In such a scenario, clients may first transfer data from external data sources 229 into internal data sources within the provider network, such as internal data source 230A managed by storage service 252, or internal data source 230B managed by database service 255. In some cases, the clients of the MLS may already be using the provider network services for other applications, and some of the output of those applications (e.g., web server logs or video files), saved at the storage service 252 or the database service 255, may serve as the data sources for MLS workflows.
In response to at least some client requests 210, the MLS request handler 180 may generate and store corresponding job objects within a job queue 142, as discussed above. In the embodiment depicted in
Other services of the provider network, e.g., including load balancing services, parallel computing services, automated scaling services, and/or identity management services, may also be used by the MLS in some embodiments. A load balancing service may, for example, be used to automatically distribute computational load among a set of servers 262. A parallel computing service that implements the Map-reduce programming model may be used for some types of machine learning tasks. Automated scaling services may be used to add or remove servers assigned to a particular long-lasting machine learning task. Authorization and authentication of client requests may be performed with the help of an identity management service of the provider network in some embodiments.
In some embodiments a provider network may be organized into a plurality of geographical regions, and each region may include one or more availability containers, which may also be termed “availability zones”. An availability container in turn may comprise portions or all of one or more distinct physical premises or data centers, engineered in such a way (e.g., with independent infrastructure components such as power-related equipment, cooling equipment, and/or physical security components) that the resources in a given availability container are insulated from failures in other availability containers. A failure in one availability container may not be expected to result in a failure in any other availability container; thus, the availability profile of a given physical host or server is intended to be independent of the availability profile of other hosts or servers in a different availability container.
In addition to their distribution among different availability containers, provider network resources may also be partitioned into distinct security containers in some embodiments. For example, while in general various types of servers of the provider network may be shared among different customers' applications, some resources may be restricted for use by a single customer. A security policy may be defined to ensure that specified group of resources (which may include resources managed by several different provider network services, such as a computing service, a storage service, or a database service, for example) are only used by a specified customer or a specified set of clients. Such a group of resources may be referred to as “security containers” or “security groups” herein.
In some embodiments, at least some of the resources used by the MLS may be arranged in redundancy groups that cross availability container boundaries, such that MLS tasks can continue despite a failure that affects MLS resources of a given availability container. For example, in one embodiment, a redundancy group RG1 comprising at least one server S1 in availability container 366A, and at least one server S2 in availability container 366B may be established, such that S1's MLS-related workload may be failed over to S2 (or vice versa). For long-lasting MLS tasks (such as tasks that involve terabyte or petabyte-scale data sets), the state of a given MLS job may be check-pointed to persistent storage (e.g., at a storage service or a database service of the provider network that is also designed to withstand single-availability-container failures) periodically, so that a failover server can resume a partially-completed task from the most recent checkpoint instead of having to start over from the beginning. The storage service and/or the database service of the provider network may inherently provide very high levels of data durability, e.g., using erasure coding or other replication techniques, so the data sets may not necessarily have to be copied in the event of a failure. In some embodiments, clients of the MLS may be able to specify the levels of data durability desired for their input data sets, intermediate data sets, artifacts, and the like, as well as the level of compute server availability desired. The MLS control plane may determine, based on the client requirements, whether resources in multiple availability containers should be used for a given task or a given client. The billing amounts that the clients have to pay for various MLS tasks may be based at least in part on their durability and availability requirements. In some embodiments, some clients may indicate to the MLS control-plane that they only wish to use resources within a given availability container or a given security container. For certain types of tasks, the costs of transmitting data sets and/or results over long distances may be so high, or the time required for the transmissions may so long, that the MLS may restrict the tasks to within a single geographical region of the provider network (or even within a single data center).
As mentioned earlier, the MLS control plane may be responsible for generating processing plans corresponding to each of the job objects generated in response to client requests in at least some embodiments. For each processing plan, a corresponding set of resources may then have to be identified to execute the plan, e.g., based on the workload distribution strategy selected for the plan, the available resources, and so on.
In the illustrated scenario, MLS job queue 142 comprises five jobs, each corresponding to the invocation of a respective API by a client. Job J1 (shown at the head of the queue) was created in response to an invocation of API1. Jobs J2 through J5 were created respectively in response to invocations of API2 through APIS. Corresponding to job J1, an input data cleansing plan 422 may be generated, and the plan may be executed using resource set RS1. The input data cleansing plan may include operations to read and validate the contents of a specified data source, fill in missing values, identify and discard (or otherwise respond to) input records containing errors, and so on. In some cases the input data may also have to be decompressed, decrypted, or otherwise manipulated before it can be read for cleansing purposes. Corresponding to job J2, a statistics generation plan 424 may be generated, and subsequently executed on resource set RS2. The types of statistics to be generated for each data attribute (e.g., mean, minimum, maximum, standard deviation, quantile binning, and so on for numeric attributes) and the manner in which the statistics are to be generated (e.g., whether all the records generated by the data cleansing plan 422 are to be used for the statistics, or a sub-sample is to be used) may be indicated in the statistics generation plan. The execution of job J2 may be dependent on the completion of job J1 in the depicted embodiment, although the client request that led to the generation of job J2 may have been submitted well before J1 is completed.
A recipe-based feature processing plan 426 corresponding to job J3 (and API3) may be generated, and executed on resource set RS3. Further details regarding the syntax and management of recipes are provided below. Job J4 may result in the generation of a model training plan 428 (which may in turn involve several iterations of training, e.g., with different sets of parameters). The model training may be performed using resource set RS4. Model execution plan 430 may correspond to job J5 (resulting from the client's invocation of APIS), and the model may eventually be executed using resource set RS5. In some embodiments, the same set of resources (or an overlapping set of resources) may be used for performing several or all of a client's jobs—e.g., the resource sets RS1-RS5 may not necessarily differ from one another. In at least one embodiment, a client may indicate, e.g., via parameters included in an API call, various elements or properties of a desired processing plan, and the MLS may take such client preferences into account. For example, for a particular statistics generation job, a client may indicate that a randomly-selected sample of 25% of the cleansed input records may be used, and the MLS may generate a statistics generation plan that includes a step of generating a random sample of 25% of the data accordingly. In other cases, the MLS control plane may be given more freedom to decide exactly how a particular job is to be implemented, and it may consult its knowledge base of best practices to select the parameters to be used.
In the depicted embodiment, in addition to the base case of no dependency on other jobs, two types of inter-job dependencies may be supported. In one case, termed “completion dependency”, the execution of one job Jp cannot be started until another job Jq is completed successfully (e.g., because the final output of Jq is required as input for Jp). Full dependency is indicated in
As indicated on client timeline TL1, API1 through API4 may be invoked within the time period t0 to t1. Even though some of the operations requested by the client depend on the completion of operations corresponding to earlier-invoked APIs, the MLS may allow the client to submit the dependent operation requests much earlier than the processing of the earlier-invoked APIs' jobs in the depicted embodiment. In at least some embodiments, parameters specified by the client in the API calls may indicate the inter-job dependencies. For example, in one implementation, in response to API1, the client may be provided with a job identifier for J1, and that job identifier may be included as a parameter in API2 to indicate that the results of API1 are required to perform the operations corresponding to API2. As indicated by the request handler's timeline TL2, the jobs corresponding to each API call may be created and queued shortly after the API is invoked. Thus, all four jobs have been generated and placed within the job queue 142 by a short time after t1.
As shown in the job scheduler timeline TL3, job J1 may be scheduled for execution at time t2. The delay between the insertion of J1 in queue 142 (shortly after t0) and the scheduling of J1 may occur for a number of reasons in the depicted embodiment—e.g., because there may have been other jobs ahead of J1 in the queue 142, or because it takes some time to generate a processing plan for J1 and identify the resources to be used for J1, or because enough resources were not available until t2. J1's execution lasts until t3. In the depicted embodiment, when J1 completes, (a) the client is notified and (b) J2 is scheduled for execution. As indicated by J2's dependsOnComplete parameter value, J2 depends on J1's completion, and J2's execution could therefore not have been begun until t3, even if J2's processing plan were ready and J2's resource set had been available prior to t3.
As indicated by J3's “dependsOnPartial” parameter value, J3 can be started when a specified phase or subset of J2's work is complete in the depicted example. The portion of J2 upon which J3 depends completes at time t4 in the illustrated example, and the execution of J3 therefore begins (in parallel with the execution of the remaining portion of J2) at t4. In the depicted example, the client may be notified at time t4 regarding the partial completion of J2 (e.g., the results of the completed phase of J2 may be provided to the client).
At t5, the portion of J3 on which J4 depends may be complete, and the client may be notified accordingly. However, J4 also depends on the completion of J2, so J4 cannot be started until J2 completes at t6. J3 continues execution until t8. J4 completes at t7, earlier than t8. The client is notified regarding the completion of each of the jobs corresponding to the respective API invocations API1-API4 in the depicted example scenario. In some embodiments, partial dependencies between jobs may not be supported—instead, as mentioned earlier, in some cases such dependencies may be converted into full dependencies by splitting multi-phase jobs into smaller jobs. In at least one implementation, instead of or in addition to being notified when the jobs corresponding to the API invocations are complete (or when phases of the jobs are complete), clients may be able to submit queries to the MLS to determine the status (or the extent of completion) of the operations corresponding to various API calls. For example, an MLS job monitoring web page may be implemented, enabling clients to view the progress of their requests (e.g., via a “percent complete” indicator for each job), expected completion times, and so on. In some embodiments, a polling mechanism may be used by clients to determine the progress or completion of the jobs.
MLS Artifacts
A client request to create a data source artifact 602 may include, for example, an indication of an address or location from which data records can be read, and some indication of the format or schema of the data records. For example, an indication of a source URI (universal resource identifier) to which HTTP GET requests can be directed to retrieve the data records, an address of a storage object at a provider network storage service, or a database table identifier may be provided. The format (e.g., the sequence and types of the fields or columns of the data records) may be indicated in some implementations via a separate comma separated variable (csv) file. In some embodiments, the MLS may be able to deduce at least part of the address and/or format information needed to create the data source artifact—e.g., based on the client's identifier, it may be possible to infer the root directory or root URI of the client's data source, and based on an analysis of the first few records, it may be possible to deduce at least the data types of the columns of the schema. In some embodiments, the client request to create a data source may also include a request to re-arrange the raw input data, e.g., by sampling or splitting the data records using an I/O library of the MLS. When requesting a creation of a data source, in some implementations clients may also be required to provide security credentials that can be used by the MLS to access the data records.
In some embodiments, as described in further detail below with respect to
Recipes 606 comprising feature processing transformation instructions may be provided by a client (or selected from among a set of available recipes accessible from an MLS recipe collection) in some embodiments. A recipe language allowing clients to define groups of variables, assignments, dependencies upon other artifacts such as models, and transformation outputs may be supported by the MLS in such embodiments, as described below in greater detail. Recipes submitted in text form may be compiled into executable versions and re-used on a variety of data sets in some implementations.
At least two types of artifacts representing machine learning models or predictors may be generated and stored in the depicted embodiment. Often, the process of developing and refining a model may take a long time, as the developer may try to improve the accuracy of the predictions using a variety of data sets and a variety of parameters. Some models may be improved over a number of weeks or months, for example. In such scenarios it may be worthwhile to enable other users (e.g., business analysts) to utilize one version of a model, while model developers continue to generate other, improved versions. Accordingly, the artifacts representing models may belong to one of two categories in some embodiments: modifiable models 630, and published models or aliases 640. An alias may comprise an alias name or identifier, and a pointer to a model (e.g., alias 640A points to model 630B, and alias 640B points to model 630D in the depicted embodiment). As used herein, the phrase “publishing a model” refers to making a particular version of a model executable by a set of users by reference to an alias name or identifier. In some cases, at least some of the users of the set may not be permitted to modify the model or the alias. Non-expert users 678 may be granted read and execute permissions to the aliases, while model developers 676 may also be allowed to modify models 630 (and/or the pointers of the aliases 640) in some embodiments. In some embodiments, a set of guarantees may be provided to alias users: e.g., that the format of the input and output of an alias (and the underlying model referred to by the alias) will not change once the alias is published, and that the model developers have thoroughly tested and validated the underlying model pointed to by the alias. In addition, a number of other logical constraints may be enforced with respect to aliases in such embodiments. For example, if the alias is created for a model used in online mode (model usage modes are described in further detail below with respect to
Results of model executions, such as predictions 608 (values predicted by a model for a dependent variable in a scenario in which the actual values of the independent variable are not known) and model evaluations 610 (measures of the accuracy of a model, computed when the predictions of the model can be compared to known values of dependent variables) may also be stored as artifacts by the MLS in some embodiments. It is noted that in the subsequent description, the terms “dependent variable”, “output variable” and “target variable” may be used interchangeably, and the terms “independent variable” and “input variable” may be used interchangeably as well. Although dependent variable values may be assumed to depend upon values of one or more independent variables in at least some types of machine learning techniques, this is not meant to imply that any of the independent variables are necessarily statistically independent of any of the other independent variables. In addition to the artifact types illustrated in
In some embodiments, the MLS may support recurring scheduling of related jobs. For example, a client may create an artifact such as a model, and may want that same model to be re-trained and/or re-executed for different input data sets (e.g., using the same configuration of resources for each of the training or prediction iterations) at specified points in time. In some cases the points in time may be specified explicitly (e.g., by the client requesting the equivalent of “re-run model M1 on the currently available data set at data source DS1 at 11:00, 15:00 and 19:00 every day”). In other cases the client may indicate the conditions under which the iterations are to be scheduled (e.g., by the client requesting the equivalent of “re-run model M1 whenever the next set of 1000000 new records becomes available from data source DS1”). A respective job may be placed in the MLS job queue for each recurring training or execution iteration. The MLS may implement a set of programmatic interface enabling such scheduled recurring operations in some embodiments. Using such an interface, a client may specify a set of model/alias/recipe artifacts (or respective versions of the same underling artifact) to be used for each of the iterations, and/or the resource configurations to be used. Such programmatic interfaces may be referred to as “pipelining APIs” in some embodiments. In addition to the artifact types shown in
As mentioned above, in some embodiments, the MLS may automatically generate statistics when a data source is created.
In response to receiving request 712, the MLS control plane 780 may generate and store a data source artifact 702 in the MLS artifact repository. In addition, and depending in some cases on the current availability of resources at the MLS, the MLS may also initiate the generation of one or more statistics objects 730 in the depicted embodiment, even if the client request did not explicitly request such statistics. Any combination of a number of different types of statistics may be generated automatically in one of two modes in various embodiments. For example, for very large data sets, an initial set of statistics 763 based on a sub-sample (e.g., a randomly-selected subset of the large data set) may be obtained in a first phase, while the generation of full-sample statistics 764 derived from the entire data set may be deferred to a second phase. Such a multi-phase approach towards statistics generation may be implemented, for example, to allow the client to get a rough or approximate summary of the data set values fairly rapidly in the first phase, so that the client may begin planning subsequent machine learning workflow steps without waiting for a statistical analysis of the complete data set.
As shown, a variety of different statistics may be obtained in either phase. For numeric variables, basic statistics 765 may include the mean, median, minimum, maximum, and standard deviation. Numeric variables may also be binned (categorized into a set of ranges such as quartiles or quintiles); such bins 767 may be used for the construction of histograms that may be displayed to the client. Depending on the nature of the distribution of the variable, either linear or logarithmic bin boundaries may be selected. In some embodiments, correlations 768 between different variables may be computed as well. In at least one embodiment, the MLS may utilize the automatically generated statistics (such as the correlation values) to identify candidate groups 769 of variables that may have greater predictive power than others. For example, to avoid over-fitting for certain classes of models, only one variable among a set of variables that correlate very strongly with one another may be recommended as a candidate for input to a model. In such scenarios, the client may be able to avoid the time and effort required to explore the significance of other variables. In many problem domains in which a given data record may have hundreds or even thousands of variables, such an automated selection of candidate variables expected to have greater predictive effectiveness may be very valuable to clients of the MLS.
In the depicted embodiment, a client 164 of the MLS may submit a model execution request 812 to the MLS control plane 180 via a programmatic interface 861. The model execution request may specify the execution mode (batch, online or local), the input data to be used for the model run (which may be produced using a specified data source or recipe in some cases), the type of output (e.g., a prediction or an evaluation) that is desired, and/or optional parameters (such as desired model quality targets, minimum input record group sizes to be used for online predictions, and so on). In response the MLS may generate a plan for model execution and select the appropriate resources to implement the plan. In at least some embodiments, a job object may be generated upon receiving the execution request 812 as described earlier, indicating any dependencies on other jobs (such as the execution of a recipe for feature processing), and the job may be placed in a queue. For batch mode 865, for example, one or more servers may be identified to run the model. For online mode 867, the model may be mounted (e.g., configured with a network address) to which data records may be streamed, and from which results including predictions 868 and/or evaluations 869 can be retrieved. In at least one embodiment, clients may optionally specify expected workload levels for a model that is to be instantiated in online mode, and the set of provider network resources to be deployed for the model may be selected in accordance with the expected workload level. For example, a client may indicate via a parameter of the model execution/creation request that up to 100 prediction requests per day are expected on data sets of 1 million records each, and the servers selected for the model may be chosen to handle the specified request rate. For local mode, the MLS may package up an executable local version 843 of the model (where the details of the type of executable that is to be provided, such as the type of byte code or the hardware architecture on which the model is to be run, may have been specified in the execution request 812) and transmit the local model to the client. In some embodiments, only a subset of the execution modes illustrated may be supported. In some implementations, not all of the combinations of execution modes and output types may be supported—for example, while predictions may be supported for online mode in one implementation, evaluations may not be supported for online mode.
The request may next be validated in accordance with various rules or policies of the MLS (element 904). For example, in accordance with a security policy, the permissions, roles or capabilities granted to the requesting client may be checked to ensure that the client is authorized to have the requested operations performed. The syntax of the request itself, and/or objects such as recipes passed as request parameters may be checked for some types of requests. In some cases, the types of one or more data variables indicated in the request may have to be checked as well.
If the request passes the validation checks, a decision may be made as to whether a job object is to be created for the request. As mentioned earlier, in some cases, the amount of work required may be small enough that the MLS may simply be able to perform the requested operation synchronously or “in-line”, instead of creating and inserting a job object into a queue for asynchronous execution (at least in scenarios in which the prerequisites or dependencies of the request have already been met, and sufficient resources are available for the MLS to complete the requested work). If an analysis of the request indicates that a job is required (as detected in element 907), a job object may be generated, indicating the nature of the lower-level operations to be performed at the MLS as well as any dependencies on other jobs, and the job object may be placed in a queue (element 913). In some implementations, the requesting client may be notified that the request has been accepted for execution (e.g., by indicating to the client that a job has been queued for later execution). The client may submit another programmatic request without waiting for the queued job to be completed (or even begun) in some cases. If the job does not have any dependencies that have yet to be met, and meets other criteria for immediate or in-line execution (as also determined in element 907), the requested operation may be performed without creating a job object (element 910) and the results may optionally be provided to the requesting client. Operations corresponding to elements 901-913 may be performed for each request that is received via the MLS programmatic interface. At some point after a particular job Jk is placed in the queue, Jk may be identified (e.g., by a job scheduler component of the MLS control plane) as the next job to be implemented (element 951 of
In addition to the kinds of validation indicated in element 904 of
In accordance with the selected distribution strategy and processing plan, a set of resources may be identified for Jk (element 957). The resources (which may include compute servers or clusters, storage devices, and the like) may be selected from the MLS-managed shared pools, for example, and/or from customer-assigned or customer-owned pools. JK's operations may then be performed on the identified resources (element 960), and the client on whose behalf Jk was created may optionally be notified when the operations complete (or in the event of a failure that prevents completion of the operations).
Some of the types of operations requested by MLS clients may be resource-intensive. For example, ingesting a terabyte-scale data set (e.g., in response to a client request to create a data store) or generating statistics on such a data set may take hours or days, depending on the set of resources deployed and the extent of parallelism used. Given the asynchronous manner in which client requests are handled in at least some embodiments, clients may sometimes end up submitting the same request multiple times. In some cases, such multiple submissions may occur because the client is unaware whether the previous submission was accepted or not (e.g., because the client failed to notice an indication that the previous submission was accepted, or because such an indication was lost). In other cases, a duplicate request may be received because the client has assumed that since the expected results of completing the requested task have not been provided for a long time, the previous request must have failed. If, in response to such a duplicate submission, the MLS actually schedules another potentially large job, resources may be deployed unnecessarily and the client may in some cases be billed twice for a request that was only intended to be serviced once. Accordingly, in order to avoid such problematic scenarios, in at least one embodiment one or more of the programmatic interfaces supported by the MLS may be designed to be idempotent, such that the re-submission of a duplicate request by the same client does not have negative consequences.
In the embodiment depicted in
If, in operations corresponding to element 1007, a pre-existing instance with the same instance identifier ID1 and client identifier C1 is found in the repository, the MLS may check whether the input parameter representation of the pre-existing instance also matches IPR1 (element 1013). If the input parameter representations also match, the MLS may assume that the client's request is a (harmless) duplicate, and no new work needs to be performed. Accordingly, the MLS may also indicate success to the client (either explicitly or implicitly) if such a duplicate request is found (element 1016). Thus, if the client had inadvertently resubmitted the same request, the creation of a new job object and the associated resource usage may be avoided. In some implementations, if the client request is found to be an exact duplicate of an earlier request using the methodology described, an indication may be provided to the client that the request, while not being designated as an error, was in fact identified as a duplicate. If the input parameter representation of the pre-existing instance does not match that of the client's request, an error message may be returned to the client (element 1019), e.g., indicating that there is a pre-existing instance of the same entity type ET1 with the same identifier. In some implementations, instead of requiring the client to submit an identifier, a different approach to duplicate detection may be used, such as the use of a persistent log of client requests, or the use of a signature representing the (request, client) combination.
One of the advantages of building a machine learning service that may be used by large numbers of customers for a variety of use cases is that it may become possible over time to identify best practices, e.g., with respect to which techniques work best for data cleansing, sampling or sub-set extraction, feature processing, predicting, and so on.
In some embodiments, the MLS control plane may comprise a set of monitoring agents that collect performance and other metrics from the resources used for the various phases of machine learning operations (element 1054). For example, the amount of processing time it takes to build N trees of a random forest using a server with a CPU rating of C1 and a memory size of M1 may be collected as a metric, or the amount of time it takes to compute a set of statistics as a function of the number of data attributes examined from a data source at a database service may be collected as a metric. The MLS may also collect ratings/rankings or other types of feedback from MLS clients regarding the effectiveness or quality of various approaches or models for the different problem domains. In some embodiments, quantitative measures of model predictive effectiveness such as the area under receiver operating characteristic (ROC) curves for various classifiers may also be collected. In one embodiment, some of the information regarding quality may be deduced or observed implicitly by the MLS instead of being obtained via explicit client feedback, e.g., by keeping track of the set of parameters that are changed during training iterations before a model is finally used for a test data set. In some embodiments, clients may be able to decide whether their interactions with the MLS can be used for best practice knowledge base enhancement or not—e.g., some clients may not wish their customized techniques to become widely used by others, and may therefore opt out of sharing metrics associated with such techniques with the MLS or with other users.
Based on the collected metrics and/or feedback, respective sets of best practices for various phases of machine learning workflows may be identified (element 1057). Some of the best practices may be specific to particular problem domains, while others may be more generally applicable, and may therefore be used across problem domains. Representations or summaries of the best practices identified may be stored in a knowledge base of the MLS. Access (e.g., via a browser or a search tool) to the knowledge base may be provided to MLS users (element 1060). The MLS may also incorporate the best practices into the programmatic interfaces exposed to users—e.g., by introducing new APIs that are more likely to lead users to utilize best practices, by selecting default parameters based on best practices, by changing the order in which parameter choices in a drop-down menu are presented so that the choices associated with best practices become more likely to be selected, and so on. In some embodiments the MLS may provide a variety of tools and/or templates that can help clients to achieve their machine learning goals. For example, a web-based rich text editor or installable integrated development environment (IDE) may be provided by the MLS, which provides templates and development guidance such as automated syntax error correction for recipes, models and the like. In at least one embodiment, the MLS may provide users with candidate models or examples that have proved useful in the past (e.g., for other clients solving similar problems). The MLS may also maintain a history of the operations performed by a client (or by a set of users associated with the same customer account) across multiple interaction sessions in some implementations, enabling a client to easily experiment with or employ artifacts that the same client generated earlier.
In some embodiments, a text version 1101 of a transformation recipe may be passed as a parameter in a “createRecipe” MLS API call by a client. As shown, a recipe validator 1104 may check the text version 1101 of the recipe for lexical correctness, e.g., to ensure that it complies with a grammar 1151 defined by the MLS in the depicted embodiment, and that the recipe comprises one or more sections arranged in a predefined order (an example of the expected structure of a recipe is illustrated in
A run-time recipe manager 1110 of the MLS may be responsible for the scheduling of recipe executions in some embodiments, e.g., in response to the equivalent of an “executeRecipe” API specifying an input data set. In the depicted embodiment, two execution requests 1171A and 1171B for the same recipe R1 are shown, with respective input data sets IDS1 and IDS2. The input data sets may comprise data records whose variables may include instances of any of a variety of data types, such as, for example text, a numeric data type (e.g., real or integer), Boolean, a binary data type, a categorical data type, an image processing data type, an audio processing data type, a bioinformatics data type, a structured data type such as a particular data type compliant with the Unstructured Information Management Architecture (UIMA), and so on. In each case, the run-time recipe manager 1110 may retrieve (or generate) the executable version of R1, perform a set of run-time validations (e.g., to ensure that the requester is permitted to execute the recipe, that the input data appears to be in the correct or expected format, and so on), and eventually schedule the execution of the transformation operations of R1 at respective resource sets 1175A and 1175B. In at least some cases, the specific libraries or functions to be used for the transformation may be selected based on the data types of the input records—e.g., instances of a particular structured data type may have to be handled using functions or methods of a corresponding library defined for that data type. Respective outputs 1185A and 1185B may be produced by the application of the recipe R1 on IDS1 and IDS2 in the depicted embodiment. Depending on the details of the recipe R1, the outputs 1185A may represent either data that is to be used as input for a model, or a result of a model (such as a prediction or evaluation). In at least some embodiments, a recipe may be applied asynchronously with respect to the execution request—e.g., as described earlier, a job object may be inserted into a job queue in response to the execution request, and the execution may be scheduled later. The execution of a recipe may be dependent on other jobs in some cases—e.g., upon the completion of jobs associated with input record handling (decryption, decompression, splitting of the data set into training and test sets, etc.). In some embodiments, the validation and/or compilation of a text recipe may also or instead be managed using asynchronously-scheduled jobs.
In some embodiments, a client request that specifies a recipe in text format and also includes a request to execute the recipe on a specified data set may be received—that is, the static analysis steps and the execution steps shown in
In the group definitions section 1201, as implied by the name, clients may define groups of input data variables, e.g., to make it easier to indicate further on in the recipe that the same transformation operation is to be applied to all the member variables of a group. In at least some embodiments, the recipe language may define a set of baseline groups, such as ALL_INPUT (comprising all the variables in the input data set), ALL_TEXT (all the text variables in the data set), ALL_NUMERIC (all integer and real valued variables in the data set), ALL_CATEGORICAL (all the categorical variables in the data set) and ALL_BOOLEAN (all the Boolean variables in the data set, e.g., variables that can only have the values “true” or “false” (which may be represented as “1” and “0” respectively in some implementations)). In some embodiments, the recipe language may allow users to change or “cast” the types of some variables when defining groups—e.g., variables that appear to comprise arbitrary text but are only expected to have only a discrete set of values, such as the names of the months of the year, the days of the week, or the states of a country, may be converted to categorical variables instead of being treated as generic text variables. Within the group definitions section, the methods/functions “group” and “group_remove” (or other similar functions representing set operations) may be used to combine or exclude variables when defining new groups. A given group definition may refer to another group definition in at least some embodiments. In the example section contents 1250 shown in
Intermediate variables that may be referenced in other sections of the recipe 1200 may be defined in the assignments section 1204. In the example assignments section, a variable called “binage” is defined in terms of a “quantile_bin” function (which is assumed to be included among the pre-defined library functions of the recipe language in the depicted embodiment) applied to an “age” variable in the input data, with a bin count of “30”. A variable called “countrygender” is defined as a Cartesian product of two other variables “country” and “gender” of the input data set, with the “cartesian” function assumed to be part of the pre-defined library. In the dependencies section 1207, a user may indicate other artifacts (such as the model referenced as “clustermodel” in the illustrated example, with the MLS artifact identifier “pr-23872-28347-alksdjf”) upon which the recipe depends. For example, in some cases, the output of a model that is referenced in the dependencies section of the recipe may be ingested as the input of the recipe, or a portion of the output of the referenced model may be included in the output of the recipe. The dependencies section may, for example, be used by the MLS job scheduler when scheduling recipe-based jobs in the depicted embodiment. Dependencies on any of a variety of artifacts may be indicated in a given recipe in different embodiments, including other recipes, aliases, statistics sets, and so on.
In the example output section 1210, a number of transformations are applied to input data variables, groups of variables, intermediate variables defined in earlier sections of the recipe, or the output of an artifact identified in the dependencies section. The transformed data is provided as input to a different model identified as “model1”. A term-frequency-inverse document frequency (tfidf) statistic is obtained for the variables included in the LONGTEXT group, after punctuation is removed (via the “nopunct” function) and the text of the variables is converted to lowercase (by the “lowercase” function). The tfidf measure may be intended to reflect the relative importance of words within a document in a collection or corpus; the tfidf value for a given word typically is proportional to the number of occurrences of the word in a document, offset by the frequency of the word in the collection as a whole. The tfidf, nopunct and lowercase functions are all assumed to be defined in the recipe language's library. Similarly, other transformations indicated in the output section use the osb (orthogonal sparse bigrams) library function, the quantile_bin library function for binning or grouping numeric values, and the Cartesian product function. Some of the outputs indicated in section 1210 may not necessarily involve transformations per se: e.g., the BOOLCAT group's variables in the input data set may simply be included in the output, and the “clusterNum” output variable of “clustermodel” may be included without any change in the output of the recipe as well.
In at least some embodiments, the entries listed in the output section may be used to implicitly discard those input data variables that are not listed. Thus, for example, if the input data set includes a “taxable-income” numeric variable, it may simply be discarded in the illustrated example since it is not directly or indirectly referred to in the output section. The recipe syntax and section-by-section organization shown in
In the example grammar “MLS-Recipe” shown in
In at least some embodiments, some users of the MLS may not be experts at feature processing, at least during a period when they start using the MLS. Accordingly, the MLS may provide users with access to a collection of recipes that have previously been found to be useful in various problem domains.
For the selected problem domain (image analysis), links to five example recipes are shown on web page 1501: recipes FR1 and FR2 for facial recognition, BTR1 for brain tumor recognition, ODA1 for ocean debris recognition, and AED1 for astronomical event detection. Additional details regarding a given recipe may be obtained by the user by clicking on the recipe's name: for example, in some embodiments, a description of what the recipe does may be provided, ratings/rankings of the recipe submitted by other users may be provided, comments submitted by other users on the recipes, and so on. If a user finds a recipe that they wish to use (either unchanged or after modifying the recipe), they may be able to download the text version of the recipe, e.g., for inclusion in a subsequent MLS API invocation. As indicated in the message area 1504, users may also be able to submit their own recipes for inclusion in the collection exposed by the MLS in the depicted embodiment. In at least some implementations, the MLS may perform some set of validation steps on a submitted recipe (e.g., by checking that the recipe produces meaningful output for various input data sets) before allowing other users access.
For many types of feature processing transformation operations, such as creating quantile bins for numeric data attributes, generating ngrams, or removing sparse or infrequent words from documents being analyzed, parameters may typically have to be selected, such as the sizes/boundaries of the bins, the lengths of the ngrams, the removal criteria for sparse words, and so on. The values of such parameters (which may also be referred to as hyper-parameters in some environments) may have a significant impact on the predictions that are made using the recipe outputs. Instead of requiring MLS users to manually submit requests for each parameter setting or each combination of parameter settings, in some embodiments the MLS may support automated parameter exploration.
In the depicted embodiment, an MLS client 164 may submit a recipe execution request 1601 that includes parameter auto-tune settings 1606. For example, the client 164 may indicate that the bin sizes/boundaries for quantile binning of one or more variables in the input data should be chosen by the service, or that the number of words in an n-gram should be chosen by the service. Parameter exploration and/or auto-tuning may be requested for various clustering-related parameters in some embodiments, such as the number of clusters into which a given data set should be classified, the cluster boundary thresholds (e.g., how far apart two geographical locations can be to be considered part of a set of “nearby” locations), and so on. Various types of image processing parameter settings may be candidates for automated tuning in some embodiments, such as the extent to which a given image should be cropped, rotated, or scaled during feature processing. Automated parameter exploration may also be used for selection dimensionality values for a vector representation of a text document (e.g., in accordance with the Latent Dirichlet Allocation (LDA) technique) or other natural language processing techniques. In some cases, the client may also indicate the criteria to be used to terminate exploration of the parameter value space, e.g., to arrive at acceptable parameter values. In at least some embodiments, the client may be given the option of letting the MLS decide the acceptance criteria to be used—such an option may be particularly useful for non-expert users. In one implementation, the client may indicate limits on resources or execution time for parameter exploration. In at least one implementation, the default setting for an auto-tune setting for at least some output transformations may be “true”, e.g., a client may have to explicitly indicate that auto-tuning is not to be performed in order to prevent the MLS from exploring the parameter space for the transformations.
In response to a determination that auto-tuning is to be performed for a given transformation operation, the MLS (e.g., a parameter explorer 1642 of the recipe run-time manager 1640) may select a parameter tuning range 1654 for the transformation (e.g., whether the quantile bin counts of 10, 20, 30 and 40 should be explored for a particular numeric variable). The parameter ranges may be selected based on a variety of factors in different embodiments, including best practices known to the MLS for similar transformations, resource constraints, the size of the input data set, and so on. In scenarios in which respective parameters for combinations of several transformation operations are to be tuned (e.g., if quantile binning is being auto-tuned for more than one variable), the parameter explorer 1642 may select a respective set of values for each parameter so as to keep the number of combinations that are to be tried below a threshold. Having determined the range of parameter values, the parameter explorer may execute iterations of transformations for each parameter value or combination, storing the iteration results 1656 in at least some implementations in temporary storage. Based on the result sets generated for the different parameter values and the optimization criteria being used, at least one parameter value may be identified as acceptable for each parameter. In the depicted embodiment, a results notification 1667 may be provided to the client, indicating the accepted or recommended parameter value or values 1668 for the different parameters being auto-tuned. For some parameters, it may not always be straightforward to identify a particular parameter value as being the single best value, e.g., because several different values may lead to similar results. In some embodiments, instead of identifying a single optimal value for such a parameter, the MLS may instead identify a set of candidate values {V1, V2, V3, . . . , Vn} for a given parameter P, such that all the values of the set provide results of similar quality. The set of candidate values may be provided to the client, enabling the client to choose the specific parameter value to be used, and the client may notify the MLS regarding the selected parameter value. In one embodiment, the client may only be provided with an indication of the results of the recipe transformations obtained using the accepted/optimized parameter values, without necessarily being informed about the parameter value settings used.
The machine learning service may natively support libraries comprising a variety of different transformation operations that can be used in the recipe's output section, such as the types of functions illustrated in
The recipe text may be validated at the MLS, e.g., in accordance with a set of syntax rules of a grammar and a set of libraries that define supported transformation methods or functions (element 1704). If syntax errors or unresolvable tokens are identified during the text validation checks, in at least some embodiments error messages that indicate the portion of the text that needs to be corrected (e.g., by indicating the line number and/or the error-inducing tokens) may be provided to the recipe submitter. If no errors are found, or after the errors found are corrected and the recipe is re-submitted, an executable version of the recipe text may be generated (element 1707). One or both versions of the recipe (the text version and the executable version) may be stored in an artifact repository of the MLS in the depicted embodiment, e.g., with a unique recipe identifier generated by the MLS being provided to the recipe submitter.
The MLS may determine, e.g., in response to a different API invocation or because the initial submission of the recipe included an execution request, that the recipe is to be applied to a particular data set (element 1710). The data set may be checked to ensure that it meets run-time acceptance criteria, e.g., that the input variable names and data types match those indicated in the recipe, and that the data set is of an acceptable size (element 1713). A set of provider network resources (e.g., one or more compute servers, configured with appropriate amounts of storage and/or network capacity as determined by the MLS) may be identified for the recipe execution (element 1716). The transformations indicated in the recipe may then be applied to the input data set (element 1719). In some embodiments, as described above with respect to
As mentioned earlier, some machine learning input data sets can be much larger (e.g., on the order of terabytes) than the amount of memory that may be available at any given server of a machine learning service. In order to train and evaluate a model, a number of filtering or input record rearrangement operations may sometimes have to be performed in a sequence on an input data set. For example, for cross-validating a classification model, the same input data set may have to be split into training and test data sets multiple times, and such split operations may be considered one example of input filtering. Other input filtering operation types may include sampling (obtaining a subset of the data set), shuffling (rearranging the order of the input data objects), or partitioning for parallelism (e.g., dividing a data set into N subsets for a computation implemented using map-reduce or a similar parallel computing paradigm, or for performing multiple parallel training operations for a model). If a data set that takes up several terabytes of space were to be read from and/or written to persistent storage for each filtering operation (such as successive shuffles or splits), the time taken for just the I/O operations alone may become prohibitive, especially if a large fraction of the I/O comprised random reads of individual observation records of the input data set from rotating disk-based storage devices. Accordingly, in some embodiments, a technique of mapping large data sets into smaller contiguous chunks that are read once into some number of servers' memories, and then performing sequences of chunk-level filtering operations in place without copying the data set to persistent storage between successive filtering operations may be implemented at a machine learning service. In at least one such embodiment, an I/O library may be implemented by the machine learning service, enabling a client to specify, via a single invocation of a data-source-agnostic API, a variety of input filtering operations to be performed on a specified data set. Such a library may be especially useful in scenarios in which the input data sets comprise varying-length observation records stored in files within file system directories rather than in structured database objects such as tables, although the chunking and in-memory filtering technique described below may in general be performed for any of a variety of data source types (including databases) as described below. The I/O library may allow clients to indicate data sources of various types (e.g., single-host file systems, distributed file systems, storage services of implemented at a provider network, non-relational databases, relational databases, and so on), and may be considered data-source-agnostic in that the same types of filtering operations may be supported regardless of the type of data source being used. In some cases, respective subsets of a given input data set may be stored in different types of data sources.
The concatenated address space of data set 1804 may then be sub-divided into a plurality of contiguous chunks, as indicated in chunk mapping 1806. The size of a chunk (Cs) may be determined based on any of several factors in different embodiments. For example, in one embodiment, the chunk size may be set such that each chunk can fit into the memory of an MLS server (e.g., a server of pools 185 of
In the depicted embodiment, an initial set of candidate chunk boundaries 1808 may be determined, e.g., based on the chunk sizes being used. As shown, candidate chunk boundaries need not be aligned with file boundaries in at least some embodiments. The candidate chunk boundaries may have to be modified somewhat to align chunk boundaries with observation record boundaries in at least some embodiments when the chunks are eventually read, as described below in greater detail with reference to
In at least some embodiments, the client may not necessarily be aware that at least some of the filtering operations will be performed on chunks of the data set rather than at the granularity of individual data records. In the depicted embodiment, data transfers 1814 of the contents of the chunks (e.g., the observation records respectively included within C1, C2, C3 and C4) may be performed to load the data set into the memories of one or more MLS servers in accordance with the first filtering operation of the sequence. To implement the first in-memory filtering operation of the sequence, for example, a set of reads directed to one or more persistent storage devices at which least some of the chunks are stored may be executed. De-compression and/or decryption may also be required in some embodiments, e.g., prior to one or more operations of the sequence of filtering operations 1870. For example, if the data is stored in compressed form at the persistent storage devices, it may be decompressed in accordance with de-compression instructions/metadata provided by the client or determined by the MLS Similarly, if the source data is encrypted, the MLS may decrypt the data (e.g., using keys or credentials provided or indicated by the client).
After the set of reads (and/or the set of associated de-compression/decryption operations) is completed, at least a subset of the chunks C1-C4 may be present in MLS server memories. (If the first filtering operation of the sequence involves generating a sample, for example, not all the chunks may even have to be read in.) The remaining filtering operations of plan 1850 may be performed in place in the MLS server memories, e.g., without copying the contents of any of the chunks to persistent storage in the depicted embodiment, and/or without re-reading the content of any of the chunks from the source data location. For example, the in-memory results of the first filtering operation may serve as the input data set for the second filtering operation, the in-memory results of the second filtering operation may serve as the input data set for the third filtering operation, and so on. In the depicted embodiment, the final output of the sequence of filtering operations may be used as input for record parsing 1818 (i.e., determining the content of various variables of the observation records). The observation records 1880 generated as a result of parsing may then be provided as input to one or more destinations, e.g., to model(s) 1884 and/or feature processing recipe(s) 1882. Thus, in the depicted embodiment, only a single pass of physical read operations may be required to implement numerous different filtering operations, which may result in a substantial input processing speedup compared to scenarios in which the data set is copied to persistent storage (or re-read) for each successive filtering operation. Of course, although multiple chunk-level and/or observation-record-level operations may be performed in memory without accessing persistent storage, the results of any such operation may be stored to persistent storage if necessary, e.g., so that the results may be re-used later for another job. Thus, although avoiding frequent and potentially time-consuming I/O operations to disk-based or other persistent storage devices is made easier by the technique described above, I/O to persistent storage may still be performed at any stage as and when necessary based on an application's requirements.
By performing filtering operations such as shuffling or sampling at the chunk level as described above, random physical read operations directed to individual data records may be avoided. Consider a scenario in which the input data set is to be shuffled (e.g., to cross-validate a classification model), the shuffling is performed at the chunk level with a chunk size of one megabyte, the data records of the data set have an average size of one kilobyte, and neither de-compression nor decryption is required. If the original data set was 1000 megabytes in size, in any given iteration of random shuffling, the order in which 1000 chunks are logically arranged may be changed. However, the order of the data records within any given chunk would not change in a chunk-level shuffle operation. As a result, all the data records that lie within a particular chunk (e.g., Chunk654 out of the 1000 chunks) would be provided as a group to train a model using the results of the shuffling. If the records within Chunk654 are not randomly distributed with respect to an independent variable IV1 of interest, the chunk-level shuffle may not end up being as good with respect to randomizing the values of IV1 for training purposes as, for example, a record-level shuffle would have been. Thus, at least in some scenarios there may be some loss of statistical quality or predictive accuracy as a result of performing filtering at the chunk level rather than the data record level. However, in general the loss of quality/accuracy may be kept within reasonable bounds by choosing chunk sizes appropriately.
Read operations corresponding to two example chunk mappings are shown for a given data set DS1 in
Instead of using a chunk size of S, if a chunk size of 2S (twice the size used for mapping 1904A) were used, as in mapping 1904B, only two RHPs would be required (one to offset O1 and one to offset O3) as indicated in read operations mix 1910B, and the data set could be read in via two sequential read sequences SR1 and SR2. Thus, the number of slow operations required to read DS1 would be reduced in inverse proportion to the chunk size used. On the X-axis of tradeoff graph 1990, chunk size increases from left to right, and on the Y-axis, the change in various metrics that results from the chunk size change is illustrated. In general, increasing the chunk size would tend to decrease the total read time (TRT) for transferring large data sets into memory. Even if the reads of different chunks could be performed in parallel, increasing the fraction of the data that is read sequentially would in general tend to decrease total read time. Increasing the chunk size may in general require more memory at the MLS servers to hold the chunk contents, as indicated by the per-server memory requirement (MR) curve shown in graph 1990. Finally, as discussed above, for at least some types of machine learning problems, increased chunk sizes may lead to a slightly worse quality of statistics (QS) or slightly worse predictive accuracy of machine learning models. This may occur because the records within a given chunk may not be filtered with respect to records in the entire data set (or with respect to each other) in the same way that the chunks are filtered with respect to each other. In scenarios in which the MLS is able to select a chunk size, therefore, the tradeoffs illustrated in graph 1990 between total read time, memory requirements and statistical quality may have to be considered. In practice, depending on the size of the chunks relative to the entire data set, the loss of statistical quality resulting from using larger chunks may be fairly small In at least some embodiments, there need not be a 1:1 relationship between chunks and MLS servers—e.g., a given MLS server may be configurable to store multiple chunks of a data set. In some embodiments, partial chunks or subsets of chunks may also be stored at an MLS server—e.g., the number of chunks stored in a given server's memory need not be an integer. In various embodiments, in addition to chunk-level filtering operations, intra-chunk and/or cross-chunk filtering operations (e.g., at the observation record level) may be performed as described below in further detail, which may help to further reduce the loss of statistical quality. It is noted that the curves shown in graph 1990 are intended to illustrate broad qualitative relationships, not exact mathematical relationships. The rate at which the different metrics change with respect to chunk size may differ from that shown in the graph, and the actual relationships may not necessarily be representable by smooth curves or lines as shown.
In some embodiments, as mentioned earlier, filtering at the observation record level may also be supported by the MLS. For example, a client's record extraction request may comprise descriptors for both chunk-level filtering and record-level filtering.
The ability to perform filtering operations at either the chunk level or the observation record level may enable several different alternatives to achieving the same input filtering goal.
In a first approach, indicated by the arrow labeled “1”, straightforward chunk-level sampling 2112 of the chunks may be implemented, e.g., resulting in the selection of chunks C1, C2, C4, C6, C8 and C10 as the desired sample. In a second approach, a combination of chunk-level and intra-chunk sampling may be used. For example, as indicated by the arrow labeled “2”, in a first step, 80% of the chunks may be selected (resulting in the retention of chunks C1, C2, C3, C5, C6, C7, C8 and C9) using chunk-level sampling 2114. Next, in an intra-chunk sampling step 2116, 75% of the observation records of each of the retained chunks may be selected, resulting in a final output of approximately 60% of the observation records (since 75% of 80% is 60%). In a third alternative approach indicated by the arrow labeled “3”, 60% of each chunk's observation records may be sampled in a single intra-chunk sampling step 2118. Similar alternatives and combinations for achieving a given input filtering goal may also be supported for other types of filtering operations in at least some embodiments.
In at least some embodiments, candidate chunk boundaries may have to be adjusted in order to ensure that individual observation records are not split, and to ensure consistency in the manner that observation records are assigned to chunks.
The same rules regarding the determination of chunk boundaries may be applied even if a CCB happens to coincide with an OR delimiter in some embodiments. For example, in data set 2202B, CCB 2204K happens to be aligned with the delimiter separating OR2 and OR3, CCB 2204L coincides with the delimiter separating OR4 and OR5, while CCB 2204M coincides with the delimiter separating OR6 and OR7. Using the rule mentioned above, in each case the search for the next delimiter starts at the offset immediately following the CCB, and the next delimiter found is selected as the ACB. Accordingly, ACB 2214K is positioned at the delimiter between OR3 and OR4, ACB 2214L is positioned at the delimiter between OR5 and OR6, and ACB 2214M is positioned at the delimiter between OR7 and OR8. As indicated in chunk table 2252B, chunk C1 of data set 2202B eventually includes OR1, OR2 and OR3, chunk C2 includes OR4 and OR5, chunk C3 includes OR6 and OR7, and chunk C4 includes OR8.
An MLS request handler 180 may receive a record extraction request 2310 indicating a sequence of filtering operations that are to be performed on a specified data set located at one or more data sources, such as some combination of shuffling, splitting, sampling, partitioning (e.g., for parallel computations such as map-reduce computations, or for model training operations/sessions that overlap with each other in time and may overlap with each other in the training sets used), and the like. A filtering plan generator 2380 may generate a chunk mapping of the specified data set, and a plurality of jobs to accomplish the requested sequence of filtering operations (either at the chunk level, the record level, or both levels) in the depicted embodiment, and insert the jobs in one or more MLS job queues 142. For example, one or more chunk read jobs 2311 may be generated to read in the data from the data source. If needed, separate jobs may be created to de-compress the chunks (such as jobs 2312) and/or decrypt the data (jobs 2313). In the depicted embodiment, jobs 2314 may be generated for chunk-level filtering operations, while jobs 2315 may be generated for observation record-level filtering operations. Filtering operations at the observation record level may comprise intra-chunk operations (e.g., shuffles of records within a given chunk) and/or cross-chunk operations (e.g., shuffles of records of two or more different chunks that may be co-located in the memory of a given MLS server) in the depicted embodiment. In at least some embodiments, respective jobs may be created for each type of operation for each chunk—thus, for example, if the chunk mapping results in 100 chunks, 100 jobs may be created for reading in one chunk respectively, 100 jobs may be created for the first chunk-level filtering operation, and so on. In other embodiments, a given job may be created for an operation involving multiple chunks, e.g., a separate job may not be required for each chunk. In some embodiments, as described below in further detail, the splitting of a data set into a training set and a test set may be implemented as separate jobs—one for the training set and one for the test set. As discussed earlier, a given job may indicate dependencies on other jobs, and such dependencies may be used to ensure that the filtering tasks requested by the client are performed in the correct order.
In one embodiment, the OR extraction request 2401 may include compression metadata 2406, indicating for example the compression algorithm used for the data set, the sizes of the units or blocks in which the compressed data is stored (which may differ from the sizes of the chunks on which chunk-level in-memory filtering operations are to be performed), and other information that may be necessary to correctly de-compress the data set. Decryption metadata 2408 such as keys, credentials, and/or an indication of the encryption algorithm used on the data set may be included in a request 2401 in some embodiments. Authorization/authentication metadata 2410 to be used to be able to obtain read access to the data set may be provided by the client in request 2401 in some implementations and for certain types of data sources. Such metadata may include, for example, an account name or user name and a corresponding set of credentials, or an identifier and password for a security container (similar to the security containers 390 shown in
OR extraction request 2401 may include one or more filtering descriptors 2412 in the depicted embodiment, indicating for example the types of filtering operations (shuffle, split, sample, etc.) that are to be performed at the chunk level and/or at the OR level, and the order in which the filtering operations are to be implemented. In some implementations, one or more descriptors 2452 may be included for chunk-level filtering operations, and one or more descriptors 2454 may be included for record-level (e.g., intra-chunk and/or cross-chunk) filtering operations. Each such descriptor may indicate parameters for the corresponding filtering operation—e.g., the split ratio for split operations, the sampling ratio for sampling operations, the number of partitions into which the data set is to be subdivided for parallel computations or parallel training sessions, the actions to be taken if a record's schema is found invalid, and so on.
In at least one embodiment, the OR extraction request 2401 may include chunking preferences 2414 indicating, for example, a particular acceptable chunk size or a range of acceptable chunk sizes. The destination(s) to which the output of the filtering operation sequence is to be directed (e.g., a feature processing recipe or a model) may be indicated in field 2416. In some embodiments, a client may indicate performance goals 2418 for the filtering operations, such as a “complete-by” time, which may be used by the MLS to select the types of servers to be used, or to generate a filtering sequence plan that is intended to achieve the desired goals. It is noted that in at least some embodiments, not all of the constituent elements shown in
A chunk size to be used for transferring contiguous subsets of the input data set into the memories of one or more MLS servers may be determined (element 2504), e.g., based on any of various factors such as the memory capacity constraints of the MLS servers, a preference indicated by the requesting client via parameters of the request, a default setting of the MLS, the estimated or actual size of the input data set, and so on. In some implementations several different chunk sizes may be selected—e.g., some MLS servers may have a higher memory capacity than others, so the chunks for the servers with more memory may be larger. If the input data set includes multiple objects (such as files), the objects may be logically concatenated to form a single unified address space (element 2507) in some embodiments. The sequence in which the objects are concatenated may be determined, for example, based on instructions or guidance provided in the request, based on alphanumeric ordering of the object names, in order of file size, in random order, or in some other order selected by the MLS.
A chunk mapping may be generated for the data set (element 2510), indicating a set of candidate chunk boundaries based on the selected chunk size(s) and the unified address space. The positions or offsets of the candidate chunk boundaries within the data object or object of the input data set may be computed as part of the mapping generation process. A plan for a sequence of chunk-level filtering operations corresponding to the filtering descriptor(s) in the OR extraction request may be created (element 2513). The plan may include record-level filtering operations (e.g., intra-chunk or cross-chunk operations), in addition to or instead of chunk-level filtering operations, in some embodiments. Cross-chunk operations may, for example, be performed on observation records of several chunks that are co-located in the memory of a given MLS server in some embodiments. In other embodiments, cross-chunk operations may also or instead be performed on chunks that have been read into the memories of different MLS servers. The types of filtering operations supported may include sampling, splitting, shuffling, and/or partitioning. Based at least in part on the first filtering operation of the plan, a data transfer of at least a subset of the chunks of the data set from persistent storage to MLS server memories may be performed (element 2516). Depending on the manner in which the data is stored at the source locations indicated in the OR extraction request, the data transfer process may include decryption and/or decompression in addition to read operations in some embodiments. In some embodiments, the client may request the MLS to encrypt and/or compress the data prior to transferring the chunks from the source locations to the MLS servers, and then to perform the reverse operation (decryption and/or decompression) once the encrypted/compressed data reaches the MLS servers.
After the first filtering operation of the sequence is performed in memory at the MLS servers, the remaining filtering operations (if any) may be performed in place in the depicted embodiment, e.g., without copying the chunks to persistent storage or re-reading the chunks for their original source locations (element 2519). In one embodiment, respective jobs may be generated and placed in an MLS job queue for one or more of the filtering operations. In at least some embodiments, a record parser may be used to obtain the observation records from the output of the sequence of filtering operations performed (element 2522). The ORs may be provided programmatically to the requesting client (e.g., as an array or collection returned in response to the API call representing the OR extraction request), and/or to a specified destination such as a model or a feature processing recipe (element 2525).
If the accuracy/quality measures 2630 are satisfactory, the candidate model 2620 may be designated as an approved model 2640 in the depicted embodiment. Otherwise, any of several techniques may be employed in an attempt to improve the quality or accuracy of the model's predictions. Model tuning 2672 may comprise modifying the set of independent variables being used for the predictions, changing model execution parameters (such as a minimum bucket size or a maximum tree depth for tree-based classification models), and so on, and executing additional training runs 2618. Model tuning may be performed iteratively using the same training and test sets, varying some combination of independent variables and parameters in each iteration in an attempt to enhance the accuracy or quality of the results. In another approach to model improvement, changes 2674 may be made to the training and test data sets for successive training-and-evaluation iterations. For example, the input data set may be shuffled (e.g., at the chunk level and/or at the observation record level), and a new pair of training/test sets may be obtained for the next round of training In another approach, the quality of the data may be improved by, for example, identifying observation records whose independent variable values appear to be invalid or outliers, and deleting such observation records from the data set. One common approach for model improvement may involve cross-validating a candidate model using a specified number of distinct training and test sets extracted from the same underlying data, as described below with reference to
The labeled observation records are distributed among eight chunks C1-C8 in the example shown in
It is noted that although the training sets may appear to comprise contiguous portions of the input data set in
In the depicted example, to simplify the presentation, the number of chunks of the input data set (10) and the split ratio (80-20) has been chosen such that an integer number of chunks is placed into the training set and the test set—i.e., observation records of a given chunk do not have to be distributed between both a training set and a test set. The pseudo-random numbers (PRNs) of the sequence 2872 produced by the PRNG may be used to select members of the training and test sets. For example, using the first PRN 2874 (produced after resetting the state of the PRNG), which has a value of 84621356, chunk C7 may be selected for inclusion in the training set 2854A to be used for TEI 2890A. Using the second PRN 56383672, chunk C2 may be selected for the training set 2854A, and so on. The random-number based split algorithm 2804 may rely on certain statistical characteristics of the PRN sequence to correctly designate each chunk of the input data set into either the training set or the test set in the depicted example scenario. The statistical characteristics may include the property that a very large number of distinct pseudo-random numbers (or distinct sub-sequences of some length N) are expected to be produced in any given sequence (e.g., before a given PRN is repeated in the sequence, or before a sub-sequence of length N is repeated). If the state of the PRNG is not reset between the time that a given training set 2854 is generated and the time that the corresponding test set 2856 is generated in the depicted embodiment, the sequence of PRNs 2872 generated may ensure that each chunk of the input data is mapped to either the training set or the test set, and no chunk is mapped to both the training set and the test set. Such a split operation, in which each object (e.g., chunk or observation record) of the source data set is placed in exactly one split result set (e.g., a training set or the corresponding test set), may be referred to as a “consistent” or “valid” split. A split operation in which one or more objects of the input data set are either (a) not placed in any of the split result sets, or (b) placed in more than one of the split result sets may be termed an “inconsistent” or “invalid” split. The sequence of the PRNs used for each of the two split mappings (the mapping to the training set and the mapping to the test set), and hence the state of the PRN source, may influence the probability of producing inconsistent splits in at least some embodiments. In turn, the use of inconsistent splits for training and evaluation may result in poorer prediction quality and/or poorer accuracy than if consistent splits are used.
In at least some embodiments, intra-chunk shuffles may be implemented within the training set and/or the test set, e.g., based on contents of a client request in response to which the TEIs are being implemented. Thus, for example, the observation records within a given chunk (e.g., C7) of training set 2854A may be re-ordered in memory (without copying the records to persistent storage) relative to one another before they are provided as input to the model being trained. Similarly, the observation records of a given chunk (e.g., C3) of test set 2856A may be shuffled in memory before the model is evaluated using the test set.
As a result of using the PRN sequence 2872, the first TEI 2890A may be implemented with a training set 2854A of chunks (C7, C2, C4, C5, C9, C1, C10, C8) and a test set 2856A of chunks (C3,C6). In some embodiments, the same PRNG 2850 may also be used (e.g., without re-initialization or resetting), to split the input data set for the next TEI 2890B. It is noted that for some models and/or applications, only one TEI may be implemented in various embodiments. In the depicted example, training set 2854B of TEI 2890B comprises chunks (C8, C3, C5, C6, C10, C2, C1, C9) and the corresponding test set 2856B comprises chunks (C4,C7). Both the splits illustrated in
In some embodiments, a PRNG may not be invoked in real time for each placement of a given chunk or record into a training set or a test set. Instead, a list of pseudo-random numbers or random numbers may be generated beforehand (e.g., using a PRNG), and the numbers in the pre-generated list may be used one by one for the split placements. In such a scenario, as long as a pointer is maintained to the last number in the list that was used for the training set, and the test set placement decisions are made using the remainder of the numbers (i.e., numbers that were not used for the training set), split consistency may be achieved in at least some embodiments.
In another approach to attaining consistent splits, respective mechanisms (e.g., APIs) may be implemented to (a) save a current state of a PRNG and (b) to re-set a PRNG to a saved state in one embodiment. Consider a scenario in which an API “save_state(PRNG)” can be invoked to save the internal state of a PRNG to an object “state_AfterTraining” after the training set of a TEI has been generated, and a different API “set_state(PRNG, state_AfterTraining)” can be invoked to reset the state of the PRNG (or a different PRNG) to the saved state just before starting the selection of the test set of the TEI. Using such a pair of state save and restore operations, the same sequence of PRNs may be obtained as would be obtained if all the PRNs were obtained without saving/re-setting the PRNG state. In some embodiments, different PRN sources may be used for the training set selection than of a given TEI are used for the test set selection, as described below with respect to
In at least some embodiments, the selection of a test set from a given input data set may occur asynchronously with respect to (and in some cases much later than) the selection of the corresponding training set. For example, separate jobs may be inserted in the MLS job queue for the selection of a training set and the selection of the corresponding test set, and the jobs may be scheduled independently of each other in a manner similar to that described earlier. In such scenarios, in order to ensure that the training/test split is valid and consistent despite the delay between the two operations, the MLS may maintain state information pertaining to the selection of the training set in some embodiments, which can then be used to help generate the test set.
At time t1, a training job J1 of a training-and-evaluation iteration TEI1 for a model M1 is begun. Job J1 is scheduled at a set of servers SS1 of the MLS, and may include the selection of a training set, e.g., either at the chunk-level, at the observation record level, or at both levels. A pseudo-random number source PRNS 3002 (such as a function or method that returns a sequence of PRNs, or a list of pre-generated PRNs) may be used to generate the training set for Job J1. At time t2, a training job J2 may be scheduled at a server set SS2, for a training-and-evaluation iteration TEI2 for a different model M2. The training set for job J2 may be obtained using pseudo-random numbers obtained from a different PRNS 3002B.
At time t3, a test job J3 for the evaluation phase of TEI1 is scheduled, more than two hours later than job J1. The scheduling of J3 may be delayed until J1 completes, for example, and the size of the data set being used for J1/J3 may be so large that it takes more than two hours to complete the training phase in the depicted example. J3 may be scheduled at a different set of servers SS3 than were used for J1. In at least some implementations, a different PRNS 9002C may be available at server set SS3 than was available at server set SS1. In order to ensure consistency of the training/test split, PRNS 3002C may be synchronized with PRNS 3002A in the depicted embodiment. Thus for example, if a seed value Seed1 was used to initialize PRNS 3002A, and 1000 pseudo-random numbers were obtained from PRNS 3002A during job J1, the same seed value Seed1 may be used to initialize a logically equivalent PRNS 3002C, and 1000 pseudo-random numbers may be acquired from PRNS 3002C before the pseudo-random numbers to be used for test set selection are acquired. Equivalents of the “save_stateQ” and “set_stateQ” calls discussed above may be used in some embodiments to synchronize PRNS 3002C with PRNS 3002A. If lists of pre-generated PRNS are being used as the PRN sources, in one embodiment the MLS may ensure that (a) the same list is used for J1 and J3 and (b) the first PRN in the list that is used for J3 is in a position immediately after the position of the last PRN used for J1. Other synchronization techniques may be used in various embodiments to ensure that the sequence of pseudo-random numbers used for test set determination is such that a valid and consistent split is achieved for jobs J1 and J3 Similarly, for test job J4 (scheduled at t4) corresponding to training job J2, PRNS 3002D may be synchronized with PRNS 3002B. In at least the depicted embodiment, to ensure split consistency, it may be necessary to enforce a logical relationship or some degree of coordination between the sets of pseudo-random numbers used for generating a training set and the corresponding test set (e.g., the numbers used in J3 may have to be coordinated with respect to the numbers used in J1, and the numbers used in J4 may have to be coordinated with respect to the numbers used in J2).
A request handler component 180 of the MLS may pass on the request 3110 to a plan generator 3180 in the depicted embodiment. The plan generator may determine a set of consistency metadata 3152, e.g., metadata that may be shared among related jobs that are inserted in the MLS job queue for the requested split iterations. The metadata 3152 may comprise the client-provided seed values 3120, for example. In one embodiment, if a client-provided seed value is not available (e.g., because the API 3161 used for the client request does not require a seed to be provided, or because the client failed to provide a valid seed value), the plan generator 3180 may determine a set of one or more seed values. Such MLS-selected seed values may be based, for example, on some combination of input data set IDs 3122 (e.g., a hash value corresponding to a file name or directory name of the input data set may be used as a seed), client identifier, the time at which the request 3110 was received, the IP address from which the request 3110 was received, and so on. In one implementation, the MLS may have several sources of pseudo-random numbers available, such as PRNGs or lists of pre-generated PRNs, and an identifier of one or more PRN sources may be included in the consistency metadata 3152. In an embodiment in which pre-generated PRN lists are to be used, a pointer to the last-used PRN within a specified list may be used, such that each entity that uses the list (e.g., an MLS job executor) updates the pointer after it has used some number of the list's PRNs. In one embodiment in which equivalents of the “save_state( )” and “set_state( )” operations described above are supported for PRNGs, a state record of a PRNG may be included in the metadata. The state record may be updated by each entity (e.g., an MLS job executor) that used the PRNG, e.g., so that the next entity that uses the PRNG can set its state appropriately to obtain PRNs that can be used to perform a consistent split.
The plan generator 3180 may generate respective jobs 3155 for selecting the split result sets. For example, for a given training-and-evaluation iteration, one job may be created for selecting the training set and another job may be generated for selecting the test set. In some implementations, a job object created by the plan generator 3180 may include a reference or pointer to the consistency metadata to be used for that job. In another implementation, at least a portion of the consistency metadata 3152 may be included within a job object. When a job is executed, the metadata 3152 may be used to ensure that the input data set is split consistently. In some embodiments, a single job may be created that includes both training and test set selection.
It is noted that a similar approach towards consistency or repeatability may be taken for other types of input filtering operations, such as sampling or shuffling, in at least some embodiments. For example, in one embodiment, a client may wish to ensure shuffle repeatability (i.e., that the results of one shuffle request can be re-obtained if a second shuffle request with the same input data and same request parameters is made later) or sample repeatability (i.e., that the same observation records or chunks are retrievable from a data set as a result of repeated sample requests). If the filtering operation involves a use of pseudo-random numbers, saving seed values and/or the other types of consistency metadata shown in
If the input data set indicated in the request is spread over multiple files or multiple data objects, the files/objects may be logically concatenated to form a unified address space for the input data. The address space of the input data set may be sub-divided into contiguous chunks (element 3207), e.g., with the chunk sizes/boundaries being selected based on client preferences, memory constraints at MLS servers, and/or other factors. One or more chunks of the input data set may be read in from persistent storage to respective memories at one or more MLS servers, e.g., such that at least a portion of chunk C1 is stored in memory at server S1 and at least a portion of chunk C2 is stored in memory at server S2 (element 3210).
Using the consistency metadata, a first training set Trn1 of the input data may be selected (element 3213), e.g., including at least some observation records of chunk C1. The training set may be selected at the chunk level, the observation record level, or some combination of chunk level and observation record level. Partial chunks may be included in the training set Trn1 in at least some embodiments (that is, some observation records of a given chunk may be included in the training set while others may eventually be included in the corresponding test set). In one embodiment, an initialization parameter value V1 may be used to obtain a first set of pseud-random numbers from a source that provided deterministic sequences of such numbers based on the source's initial state, and the first set of pseudo-random numbers may in turn be used to select the training set Trn1 used to train a targeted machine learning model M1.
To evaluate the model after it has been trained, a test set Tst1 may be determined using the consistency metadata (element 3216) (e.g., using a set of pseudo-random numbers obtained from the same source, or from a source whose state has been synchronized with that of the source used for selecting Trn1). In one implementation, for example, the consistency metadata may indicate a seed Seed1 and a count N1 of pseudo-random numbers that are obtained from a PRNG for generating Trn1. If the original PRNG is not available to provide pseudo-random numbers for selecting Tst1 (e.g., if the test set is being identified at a different server than the server used for identifying Trn1, and local PRNGs have to be used at each server), an equivalent PRNG may be initialized with Seed1, and the first N1 pseudo-random numbers generated from the equivalent PRNG may be discarded before using the succeeding pseudo-random numbers (starting from the (N1+1)th number) for selecting Tst1. In another implementation, the algorithm used for selecting Trn1 and Tst1 (or any pair of training and test sets) may be designed in such a way that the same sequence of pseudo-random numbers can be used to select Trn1 and Tst1 while still meeting the consistency criteria described earlier. In such an implementation, same seed value may be used to initialize a PRNG for Tst1, and no pseudo-random numbers may have to be skipped to select Tst1. Model M1 may be tested/evaluated (e.g., the accuracy/quality of the model's predictions may be determined) using test set Tst1.
As long as more TEIs remain to be performed (as determined in element 3219), the training and test sets for the next iteration may be identified in place, without copying any of the chunk contents to other locations in the depicted embodiment (element 3222). In the depicted embodiment, the consistency metadata that was used to generate Trn1 and Tst1 may be used for selecting the training set and the test set for subsequent TEIs as well. In other embodiments, respective sets of consistency metadata may be used for respective TEIs. In at least some embodiments in which a training set is initially identified at the chunk level, the observation records within individual chunks of the training set may be shuffled in memory (i.e., an intra-chunk shuffle may be performed without any additional I/O to persistent storage) prior to using the observation records to train the model. Similarly, intra-chunk shuffles may be performed on test sets in some embodiments before the test sets are used for evaluation. After all the requested iterations of training and evaluation are completed, the processing of the request received in operations corresponding to element 3201 may be considered complete, and the final results of the iterations may be provided to a destination indicated in the request (element 3225).
A number of machine learning methodologies, for example techniques used for classification and regression problems, may involve the use of decision trees.
Based on an analysis of the observation records 3304 of a subset or all of the training set, one or more decision trees 3320 may be constructed, e.g., by a model generator component or model manager component of the machine learning service described above, to make predictions for the value of DV based on the values of at least some of the IVs of an observation record. Each non-leaf node of a decision tree 3320, such as root node 3322, may indicate one or more conditions or predicates to be evaluated on one or more independent variables, and the results of evaluating the predicate may determine the path to be taken next towards a leaf node of the tree at which a prediction for the DV is made for the OR. For example, in the decision tree illustrated, the root node indicates that the value of independent variable IV2 is to be compared with k. If IV2 is less than k for a given observation record for which a prediction is to be made, the path to intermediate node 3323 should be taken, as indicated by the edge labeled “y” (for “yes” in answer to the evaluation of “IV2<k”). If IV2 is greater than or equal to k in the observation record being analyzed, the path labeled “n” (for “no”) would be taken. Similar decisions would be taken at various non-leaf nodes until a leaf node is reached, at which point a value for DV would be predicted based on the combination of predicates checked along the path. Thus, in the depicted tree 3320, if the following conditions are found to be true, a DV value of X may be predicted at leaf node 3324: (IV2<k) and (IV1>=p) and (IV6>=p) and (IV7==q) and (IV4 !=z). A similar traversal would be performed for all the records of a test data set 3330 by a decision tree based model 3335, resulting in a set of predictions 3340 of DV values. For many training data sets, one or more of the independent variables may not necessarily be represented in a decision tree—for example, if independent variable IVn is not significant with respect to predicting DV, none of the nodes included in the tree 3320 may include a condition that refers to IVn. In general, the model generator component of the machine learning service may be responsible for identifying efficient ways of predicting DV values accurately using some subset of the independent variables, and encoding such efficient ways in the form of one or more decision trees. A number of factors which may contribute to prediction quality and efficiency are discussed below.
A simple binary classification example is illustrated in
The costs (e.g., in terms of resources used or time required) for making decision-tree based predictions may be broadly categorized into two categories: training costs and execution/prediction costs. Execution/prediction costs may also be called run-time costs herein. Training costs refer to the resources used to construct the trees and train the model using the training data set, while the execution costs refer to the resources used when the models make predictions on new data (or test data) that was not used for the training phase. In at least some embodiments, as described below, tradeoffs may be possible between the training costs and the quality of the predictions made on new data. By expending more resources and/or time during training, better (e.g., more accurate and/or faster) predictions may be made possible for at least some types of problems. For example, unlike in some conventional tree-construction approaches, in some embodiments decision trees may be constructed in depth-first order, with the descriptors for the nodes being streamed immediately to disk or some other form of persistent storage as they are being created, instead of requiring the tree-construction procedure to be limited to the amount of main memory available at a given server. Such a depth-first and persistent-storage-based tree construction pass may result in a number of benefits relative to breadth-first memory-constrained approaches, such as better prediction accuracies for observation record classes with small populations, better processor cache utilization (e.g., at level 2 or level 1 hardware caches associated with the CPUs or cores being used at MLS servers), and so on. Although fairly large trees may be produced as a result of such an approach (since the tree sizes are not memory-constrained during the tree construction pass), the trees may be pruned intelligently during a second pass of the training phase, e.g., to remove a subset of the nodes based on one or more run-time optimization goals. The term “run-time optimization goals” may be used herein to refer to objectives associated with executing a trained model to make predictions, such as reducing the time it takes to generate predictions for a test data set or a production data set, reducing the amount of CPU or other resources consumed for such predictions, and so on. (In some embodiments, in addition to or instead of such run-time or prediction-time goals, clients of the MLS may also or instead have training time goals pertaining to the resources or time used for training the model.) Pruned trees that can fit within memory constraints may then be used to make high-quality predictions on non-training data sets. Details regarding the manner in which the decision trees may be generated and pruned in different embodiments are provided below.
Tree 3433 may be constructed in depth-first order in the depicted embodiment. Although the pre-order version of depth first traversal/construction is illustrated in
In addition to the predicates to be evaluated at each node, a respective predictive utility metric (PUM) 3434 may also be generated for some or all of the nodes of tree 3433 in the depicted embodiment and stored in persistent storage—e.g., PUM 3434A may be computed and stored for node N1, PUM 3434B for node N2, and so on. Generally speaking, the PUM of a given node may be indicative of the relative contribution or usefulness of that node with respect to the predictions that can be made using all the nodes. Different measures may be used as predictive utility metrics in different embodiments, e.g., based on the type of machine learning problem being solved, the specific algorithm being used for the tree's construction, and so on. In one implementation, for example, a Gini impurity value may be used as the PUM or as part of the PUM, or an entropy-based measure of information gain, or some other measure of information gain may be used. In some implementations, a combination of several different measures may be used. In at least some embodiments, some measure of predictive utility or benefit of a predicate may have to be computed in any case during tree construction for at least some of the nodes to be added to the tree, and the PUM assigned to the node may simply represent such a benefit. In some implementations, PUM values may not be identified for one or more nodes of a tree—that is, having PUM values available for a subset of the nodes may suffice for tree pruning purposes.
In at least some implementations, it may be possible to create a partial (or total) order of the nodes of a decision tree based on the PUMs of the nodes, and such an ordering may be used in a tree pruning pass of the training phase as described below. In one embodiment, instead of or in addition to generating an ordered list of all the nodes, a histogram or similar distribution indicator of the PUM values with respect to the tree nodes may be created and/or written to persistent storage, e.g., together with the node descriptors and PUM values. A histogram may, for example, take much less memory than an exhaustive list of the tree's nodes and corresponding PUM values.
The tree-construction pass of a training phase may be followed by a pruning pass in at least some embodiments, in which the tree representations are reduced in size by eliminating selected nodes in view of one or more run-time optimization goals or criteria. In some embodiments, several separate periods of tree-construction interspersed with periods of tree-pruning may be implemented, so that the entire tree need not necessarily be generated before some its nodes are pruned (which might help reduce the total number of nodes generated). A number of different goals may be taken into consideration in different embodiments for pruning.
Nodes may be identified for removal using a variety of approaches in different embodiments. For example, in a greedy pruning technique 3650, the unpruned tree 3604 may be analyzed in a top-down fashion, selecting the path that leads to the node with the highest PUM value at each split in the tree. The cumulative PUM values of the nodes encountered during the greedy top-down traversal may be tracked, as well as the total number of nodes encountered. When the total number of nodes encountered equals the max-nodes value, the nodes that have been encountered thus far may be retained and the other nodes may be discarded or removed. In at least some embodiments, a modified or pruned version 3608 of the tree 3604 may be stored (e.g., in persistent storage) separately from the un-pruned version, so that, for example, re-pruning may be attempted using a different pruning approach if necessary. In other embodiments, only the pruned version 3608 may be retained. In some embodiments, instead of using a greedy top-down approach, a bottom-up approach may be used as indicated by arrow 3660, in which leaf nodes are analyzed first, and nodes are removed if their contribution to the quality/accuracy of the model is below a threshold until the max-nodes constraint 3610 is met. In some embodiments, the PUM distribution information (such as a histogram similar to that illustrated in
In some embodiments, other types of run-time goals may be taken into account during the tree pruning pass of a model's training phase.
In the depicted embodiment, the time taken (and the CPU resources consumed) to make a prediction for a given observation record's dependent variable may be at least approximately proportional to the length of the decision path, as indicated in graph 3786. For some latency-sensitive applications, the variation in the time taken to make predictions for different observation records or test sets may be considered an important indicator of the quality of the model, with less variation typically being preferred to more variation. Accordingly, the maximum variation in prediction time 3710 may be an important run-time optimization goal in such embodiments, and some number of nodes may be removed from the tree 3704 so as to reduce the maximum variation in possible decision paths. As shown, for example, nodes N6, N7, N8, N9, N10 and N11 may be removed from tree 3704, so that the maximum decision path length in the modified/pruned tree 3608 is reduced from eight to five. In at least some embodiments, a primary goal of minimizing variation in prediction time may be combined with a secondary goal of maximizing cumulative retained predictive utility. For example, when choices for pruning are to be made that affect the lengths of decision paths equally, the PUM values of the alternative pruning target nodes may be compared and the node with the greater PUM value may be retained.
In at least some embodiments, business goals may also be considered when pruning decision trees. For example, consider a scenario in which a group of potential customers of a service is being classified into segments S1, S2, . . . , Sn, such that the customers that are classified as belonging to segment S6 are expected to spend substantially higher amounts on the service that customers belonging to other segments. In such a scenario, nodes along the decision paths that lead to classification of S6 customers may be retained during pruning in preference to nodes along decision paths that lead to other segments. In various embodiments, a combination of memory footprints/constraints, quality/accuracy goals, absolute execution-time (prediction-time) goals, prediction-time variation goals, business/revenue goals, and/or other goals may be used, with application-specific prioritization of the different goals. In at least some embodiments, a programmatic interface of the MLS may allow clients to indicate one or more run-time optimization goals of the kinds described above, e.g., by ranking the relative importance to a client of the different types of goals for a given model or problem. In some embodiments, information regarding best practices for decision tree pruning (e.g., which pruning methodologies are most useful) for different problem domains may be collected by the MLS in knowledge base 122 (shown in
Each UDT may be pruned in accordance with applicable run-time optimization goals to produce a corresponding pruned decision tree (PDT) 3818 in the pruning pass 3814 of the training phase in the depicted embodiment. Jobs J4, J5 and J6 may be implemented for pruning UDTs 3810A-3810C respectively, producing PDT 3818A-3818C. Finally, jobs J7, J8 and J9 respectively may be scheduled to execute the model using the three PDTs 3818A—3818C using some specified test set (or production data set) in the depicted embodiment, resulting in prediction results 3850A—3850C. The results 3850 obtained from the different PDTs may be combined in any desired fashion (e.g., by identifying an average or median value for the predictions for each test set observation record) to produce aggregated prediction results 3860 during a prediction or test phase of the machine learning algorithm being used. A prediction phase may differ from a test phase, for example, in that the values of the dependent variables may not be known for the data set in the prediction phase, while values for the dependent variables may be known for the data set used for testing the model. In some embodiments, an additional job J10 may be scheduled for the aggregation of the results. It is noted that any of the jobs J1-J10 may be performed in parallel with other jobs, as long as the applicable job dependencies are met—e.g., job J4 may have to be initiated after J1 completes, and J7 may be initiate after J4 completes. Note, however, that J7 may be begun even before J2 completes, as J7 does not depend on J2—thus, in at least some embodiments, the prediction/test phase 3830 may overlap with the training phase if sufficient resources are available. For some tree ensemble-based algorithms such as Random Forest, hundreds of UDTs and PDTs may be generated for a given training set, and the use of parallelism may reduce both the training time and the execution time substantially relative to sequential approaches. In some embodiments, different run-time optimization goals may be applied to pruning different UDTs, while in other embodiments, the same set of run-time optimization goals may be applied to all the trees of an ensemble. Jobs for any of the different tasks illustrated (e.g., tree generation, tree pruning or model execution) that have met their dependencies may be executed in parallel at the thread level (e.g., different threads of execution may be used for the jobs on the same server), the process level (e.g., respective processes may be launched for multiple jobs to be run concurrently on the same server or different servers), or the server level (e.g., each job of a set of concurrently-schedulable jobs may be executed at a different thread/process at a respective MLS server) in various embodiments. Combinations of thread-level, process-level and server-level parallelism may be used in some embodiments—e.g., of four jobs to be run in parallel, two may be run at respective threads/processes at one MLS server, while two may be run at another MLS server.
A tree-construction pass of M1's training phase may be initiated using some selected subset of all of the training data set. In some implementations, the training data (or at least pointers to the observation records of the training data) may be loaded into memory prior to the construction of the tree, and rearranged in memory based on the predicates evaluated at the nodes of the tree as the nodes are generated. During the tree-construction pass, the nodes of a decision tree may be generated in depth-first order in the depicted embodiment (element 3904), and node information such as the predicates being tested and the child node count or pointers to the child nodes may be streamed to persistent storage (e.g., rotating-disk based storage) in depth-first order. In the depicted embodiment, a predictive utility metric (PUM) value may be stored for at least some of the nodes, indicative of the contribution or utility of the nodes towards the predictions made by the model. Any of several types of statistical measures may be used as PUM values in different implementations, such as Gini impurity values, entropy measures, information gain measures, and so on. The PUM values may be used, for example in a subsequent tree-pruning pass of the training phase, to determine an order in which nodes can be pruned or removed from the tree without affecting the quality of the model predictions significantly. In some embodiments a histogram or a similar representation of the distribution of PUM among the tree's nodes may be generated during the tree construction pass. In other embodiments, the distribution information may be collected in a separate traversal of the tree. The terms “tree construction” and “tree creation” may be used as synonyms herein.
The constructed tree may be analyzed, e.g., in either a top-down greedy approach or a bottom-up approach, to identify some number of nodes that should be removed in view of the run-time optimization goals and/or the nodes' PUM values in the depicted embodiment (element 3907). In some embodiments, the tree-pruning phase need not be performed, e.g., if the un-pruned tree already meets desired optimization goals. In at least one embodiment, it may be the case that none of the nodes of a given tree is pruned, e.g., because a cost-benefit analysis indicates that the removal is not worthwhile. The modified or pruned version of the decision tree may be stored (element 3910), e.g., in a separate location than the un-pruned tree, for use later during a test phase and/or production-level prediction runs of the model.
Depending on whether the model is ensemble-based or not, multiple trees may have to be constructed in some cases. If more trees are required (as determined in element 3913), a different sample of the training data set may be generated and the construction and pruning operations of elements 3904 onwards may be repeated. Although parallelism is not explicitly illustrated in
In at least one embodiment, a number of different components of the machine learning service may collectively perform the operations associated with decision tree optimizations. A client request for the training or creation of a tree-based model (e.g., either a model based on a single tree, or a model using an ensemble of trees), submitted via one or more APIs may be received at a request/response handler, which may determine the nature of the request and pass on the client request (or an internal representation of the client request) to a model generator or model manager. In some embodiments, each pass of the training phase may be performed by a respective MLS component—e.g., one or more tree generator components may create the trees in depth-first order and stream the node descriptors to persistent storage at one or more MLS servers, while one or more tree reducers may be responsible for pruning trees. In at least one embodiment, one or more training servers of the MLS may be used for training tree-based models, while one or more prediction servers may be used for the actual predictions. In embodiments in which respective jobs are created for different tasks, a job manager may be responsible for maintaining a collection or queue of outstanding jobs and for scheduling jobs as resources become available and job dependencies are met. Responses (e.g., an identifier of a tree-based model, or results of a prediction run) may be provided to the client by the front-end request/response handler in some embodiments. In at least some embodiments, some or all of these components may comprise specialized, tuned, or task-optimized hardware and/or software.
As described earlier, a machine learning service implemented at a provider network may support a wide variety of feature processing transformations (which may be referred to as FPTs), such as quantile binning, generation of a Cartesian product of values of one or more variables, n-gram generation, and so on. For input data sets that have many independent variables and are to be used for training a model, a very large number of feature processing transformations may potentially be feasible for generating derived or processed variables from the raw input data, such that the processed variables may then be used to predict values of one or more target or dependent variables of interest to a client. For a client, it may not always be straightforward to estimate either the usefulness of a given FPT with respect to the quality of the predictions of a model trained using a result of the FPT, or the costs associated with implementing the FPT. Each FPT (or group of related FPTs) may have its own set of costs for various phases of a model's lifecycle, which may be expressible in any of a variety of units such as elapsed times, resource consumption, and so on. For example, the additional or marginal costs (e.g., memory, CPU, network or storage costs) of applying the FPT to the training set, training a model using input data that includes the result of the FPT, applying the FPT to an evaluation or test data set, and including the FPT's processed variable(s) as inputs for the model's execution for a prediction/evaluation run, may all have to be considered in some embodiments when determining whether the FPT is worthwhile. In some embodiments, the MLS may be configured to provide recommendations to clients regarding possible sets of feature processing transformations, e.g., based on automated cost-benefit analyses in view of goals indicated by the clients. It may be possible, for example, to spend more time or more resources analyzing the FPTs at training time, in order to come up with more accurate and/or faster predictions during production runs of the model. At least some such feature processing recommendation techniques may have similar objectives to the automated parameter tuning that may be performed for recipes in some embodiments as described above.
In the depicted embodiment, the candidate generator 4082 may be responsible for identifying an initial candidate FPT set 4052. The initial candidate FPT set may be represented at least internally within the MLS as an acyclic graph of possible transformations in some implementations, such as the illustrated graph comprising FPT1-FPT10. The acyclic graph representation may indicate, for example, a recommended sequence in which the different FPTs should be performed, and/or dependencies between different FPTs. For example, the depicted representation of FPT set 4052 may indicate that FPT9 depends on a result of FPT7, FPT7 depends on a result of FPT3, and so on. In some embodiments in which a budget limit or a time limit is not indicated for generating a feature processing proposal, the candidate generator 4082 may include a large number (e.g., dozens or hundreds) of candidate FPTs. In other embodiments, in which constraints such as time limits or resource limits are placed on the FP manager with regard to FP proposal generation, the initial set 4052 of candidate FPTs may comprise a relatively small subset of the feasible candidate transformations. The initial set 4052 may include any FPTs that are specified (e.g., in constraints 4014) as being mandatory, and exclude any FPTs that were prohibited.
The optimizer 4084 may be responsible for generating one or more FP proposals such as 4062A and 4062B. The FP proposals may typically be versions of the candidate set 4052 from which some number of candidate FPTs have been removed or pruned, e.g., based on a cost-benefit analysis performed by the optimizer. If a client had indicated mandatory feature processing transformations via constraints 4014, such transformations may be retained in the FP proposals. The cost benefit analysis may comprise the scheduling of a plurality of jobs as described below in various embodiments, e.g., jobs that involve training and evaluating a model with results of the initial set of candidate FPTs, re-evaluating the model with modified evaluation sets to estimate the impact of various FPTs on prediction quality, and/or re-training the model with modified sets of processed variables to estimate the impact of various FPTs on prediction run-time metrics. In the scenario shown in
In at least some embodiments, one or more FP proposals 4062 may be provided programmatically to a client of the MLS, e.g., in the form of a catalog or menu from which the client may approve a specific proposal or multiple proposals. In some cases, an iterative process may be used to arrive at a final approved FP plan, e.g., with a given iteration comprising the MLS providing a proposal to the client, followed by a proposal change request from the client. If a client does not approve any of the proposals generated during an iteration, in some embodiments the FP manager may transmit a requirements reconsideration request to the client, in effect requesting the client to prioritize/modify at least some of the goals or quality metrics, or relax some of the constraints. The client may respond to the reconsideration request by indicating relative priorities for some or all of the goals and metrics. After an FP proposal is eventually approved, the MLS may implement the proposal on behalf of the client, e.g., using the results of approved FPTs as input to train a model and then obtaining predictions/evaluations on specified non-training data. Such optimization based on feature processing cost-benefit tradeoffs may be used for a variety of model types, including for example classification models, regression models, clustering models, natural language processing models and the like, and for a variety of problem domains in different embodiments.
In at least some embodiments, a client may indicate that a recipe written using a recipe language of the kind described earlier is to be used for generating processed variables for training their model. In such a scenario, the MLS may analyze the FPTs indicated in the recipe, and may ascertain whether some (or all) of the FPTs in the recipe should be replaced or eliminated when generating the FP proposal to be provided to the client. That is, an FP manager may be configured to suggest or recommend modifications to a client-specified FP recipe in such embodiments if better alternatives appear to be available. In some embodiments, one or more programmatic interfaces may be made available to clients to enable them to submit requests for FP optimizations, e.g., indicating their training data, target variables, run-time goals, prediction quality metrics, and so on. In response to receiving a request via such an API, the MLS may utilize various internal APIs to provide the requested recommendations, e.g., respective jobs may be scheduled using lower-level APIs to read the training data using the chunked approach described above, to perform feature processing, training, evaluation, re-training and/or re-evaluation. In at least one embodiment, programmatic interfaces (e.g., web-based dashboards) may be made available to clients to enable them to view the extent to which their run-time goals are being met for various models.
In at least some scenarios, not all the client's objectives may be simultaneously achievable. For example, a client may desire prediction times to be less than X seconds, and also desire prediction quality to exceed some measure Q1, such that the MLS is not necessarily able to meet both goals. In some such cases, the client may be requested to prioritize the goals, so that the MLS can try to optimize for one goal in preference to others. In many embodiments, at least some clients may not have to specify quality goals (or may not specify quality goals even if such goals can be specified), and may rely instead on the MLS to select appropriate prediction quality criteria that should be targeted for optimization. In at least one embodiment, the MLS may even select and/or prioritize the run-time goals that should be targeted on behalf of a given client. Clients that are more knowledgeable with respect to machine learning may be allowed to provide as much detailed guidance regarding FP tradeoff management as they wish to in some embodiments, e.g., using values for optional API parameters when interacting with the MLS. Thus, the MLS may be able to handle a variety of client expertise levels with respect to managing tradeoffs between feature processing costs and benefits.
The FP manager 4080 may generate a candidate set of feature processing transformations, and then prune that candidate set to identify proposals based on the quality metrics, goals and/or constraints identified for the model. In the depicted embodiment, a number of different jobs may be generated and scheduled during this process, including, for example one or more feature processing jobs 4255, one or more model evaluation jobs 4258, and/or one or more training or re-training jobs 4261. If the model creation request includes a recipe 4226, the FP manager may take the recipe as a starting point for its exploration of feature processing options, without necessarily restricting the set of transformations considered to those indicated in the recipe. The FP manager may consult the MLS's knowledge base of best practices to identify candidate transformations in some embodiments, e.g., based on the problem domain being addresses by the model to be created or trained. As mentioned earlier, once a candidate set of FPTs (feature processing transformations) is identified, some subset of the transformations may be removed or pruned from the set in each of several optimization iterations, and different variants of the model may be trained and/or evaluated using the pruned FPT sets. The model variants 4268 may be stored within the MLS artifact repository in at least some embodiments. If the client request includes training time goals or deadlines by which the MLS is required to provide FP proposals, such goals/deadlines may influence the specific pruning techniques that are used by the FP manager 4080—for example, a greedy pruning technique such as that illustrated below may be used with strict training time deadlines. Since at least for some problems it may be possible to consider a very large number of FPTs, the MLS may set its own training time goals in scenarios in which clients do not specify such goals, e.g., so as to keep training-time resource consumption within reasonable bounds. In some embodiments, the client may be billed a fixed fee for the generation of FP proposals, in which case the experimentation/testing of different FPT options by the FP manager may be constrained by the resource usage limits corresponding to the fixed fee.
The FP manager 4080 may eventually terminate its analysis of alternative transformation sets and provide one or more FP proposals 4272 to the client 164 in the depicted embodiment (e.g., via an API response generated by the request/response handler 4280). In scenarios in which the client provided a recipe 4226, the FP proposal may indicate one or more changes to the client's recipe(s) that are recommended based on the analysis performed by the MLS, or entirely different recipes may be indicated. In some embodiments, the FP proposal(s) may be formatted in accordance with the MLS's recipe language, while in other embodiments a different representation of the proposed feature processing transformations may be provided. The client 164 may either approve one or more of the proposals, or may request changes to the proposal(s), e.g., via FP change requests 4278. In at least some embodiments, an iterative negotiation may occur between the MLS and the client, in which the client submits suggestions for changes and the MLS performs additional evaluations or re-training operations to try out the changes. The number of such iterations that are performed before the negotiation ends may also be based at least partly on billing in some embodiments—e.g., the client may be charged a fee based on the amount of time or resources consumed for each iteration of re-testing. Eventually, in the depicted embodiment, the client may approve a particular FP proposal and submit a model execution request 4254, e.g., via an MLS API. A production-level model execution manager 4232 may then implement production run(s) 4258 of the model corresponding to the approved FP proposal. The client may request additional changes based on the results achieved in the production runs, e.g., by submitting additional change requests 4278 and/or requesting re-training or re-creation of the model based on new training data.
A number of different techniques may be used for pruning candidate FP transformations (i.e., removal of the transformations from the candidate set) in various embodiments.
Depending on the logical relationships or dependencies between different FPTs of the candidate set, a selection of one particular node of an FPT set as a pruning victim may result in the removal of one or more other nodes as well. For example, if FPT13 and FPT7 depend on (e.g., use the output of) FPT6, the selection of FPT6 as a victim may also result in the pruning of FPT7 and FPT13. The estimates of the costs and benefits of removing the victim FPTs may be determined, e.g., by re-evaluating the model using dummy or statistically selected replacement values for the features produced by the victims to determine the impact on the prediction quality metrics, and/or by re-training the model with a smaller set of features to determine the impact on run-time performance metrics. The FP manager may store the pruning results for each FP mutation 4320 in the depicted embodiment, e.g., as artifacts in the MLS artifact repository. Pruning results 4390, corresponding to mutation 4320B, for example, may include an estimate of prediction quality contribution 4333 of the removed FPTs (FPT6, FPT7 and FPT13), as well as an estimate of the contribution 4334 of the removed FPTs to prediction run-time costs. Such estimates for different mutations may be used to generate the proposals to be provided to the client by the FP manager. The randomized pruning approach may be especially useful if the different candidate FPTs are not expected to differ significantly in their cost and quality contributions, or if the FP manager cannot predict (e.g., based on best practices) whether different candidates are likely to have significantly different cost or quality contributions.
In some embodiments, e.g., either as a result of some number of randomized pruning iterations or based on experience with similar models, it may be possible for the FP manager's optimizer to identify specific FPTs that are expected to provide a significant positive contribution to model quality. The FP manager may then develop proposals based on the positions of such highly beneficial FPTs in the candidate FPT graph, e.g., proposals that include the beneficial FPTs and their neighbors.
In the graph of initial candidate FPT set 4402, the FP manager has identified node 4410 (corresponding to FPT14) as the particular node with the highest contribution to model quality (or at least the highest contribution among the nodes whose quality contributions have been evaluated). Node 4410 has accordingly been selected as the starting node for construction a graph of FPTs to be included in a proposal of recommended FPTs to be provided to a client. In one approach to constructing the proposal, after the starting FPT node has been identified, its prerequisite nodes (if any) may also be included in the proposal. For example, in order to perform the transformation indicated by FPT14, results of FPT10, FPT3, FPT2 and FPT1 may be required in the depicted example. The contributions and costs of other neighboring nodes of the already-selected nodes, such as nodes FPT8, FPT9, FPT4, FPT11, FPT5 and FPT12 may then be determined using re-evaluations and re-training iterations, until the desired quality and/or cost goals are met. The resulting FPT graph (with other candidate FPTs removed) may be included in the FP proposal 4432 transmitted to the client.
The process of generating FP proposals based on optimization for specific run-time goals may involve several phases in different embodiments. In one embodiment, for example, a model may first be generated/trained using the entire set of candidate FPTs identified initially. Statistics on the values of certain candidate processed variables (PVs) may be obtained and later used for determining the specific contributions of the PVs and their corresponding FPTs to model prediction quality.
A model 4510 may be trained using the original PV training set 4560 at some training cost TC. TC may be expressed in a variety of units, such as CPU-seconds on a machine with memory size M1, or the corresponding billing amounts. The model may be evaluated using a PV set 4562 derived from an un-processed evaluation set (or several such sets) 4504 in the depicted embodiment. Thus, just as the training set values for PV1, PV2, and PV3, were obtained using transformations FPT1, FPT2, FPT3, respectively, the evaluation set values for PV1, PV2 and PV3 may be obtained by applying the same types of transformations to the un-processed evaluation set(s) 4504. The cost (EC) of evaluating the trained model may at least in some cases be smaller than TC, the cost of training the model with results of all the candidate FPTs (e.g., because identifying various coefficients to be used for predictions may be more compute-intensive than simply applying the coefficients during test/evaluation runs). The original evaluation results 4536, obtained without pruning any of the candidate FPTs, may be saved in a persistent repository (e.g., to be used later as described below to determine the respective quality contributions of different FPTs) Similarly, the original prediction run-time metrics 4537 (e.g., elapsed time, CPU-seconds used, memory used, etc.) corresponding to a use of all the candidate FPTs may be collected and saved (e.g., to be used later when determining the respective cost contributions of different FPTs).
For at least some types of machine learning problems, in general, the prediction quality of the model may be higher when more FPTs are used for training Differences or deltas to the model's prediction quality metrics, corresponding to different pruning selections, may then be obtained in later phases of the feature processing technique as described below.
Each of the modified evaluation sets is then provided as input to model 4510 which was trained using the original PV training set 4560 to obtain a respective set of predictions. Using modified evaluation set 4662A, PV1-pruned evaluation results 4636A may be obtained (indicative of, or approximating, the results that may have been achieved had PV1 not been included in the training set of model 4510). By computing the difference between the prediction quality metrics corresponding to the pruning of PV1, and the prediction quality metrics corresponding to the unpruned evaluation set shown in
The particular statistic or values to be used to generate the modified PV evaluation set may differ for different types of PVs and/or for different types of models or problem domains. In some embodiments, the mean value may be used (as in the case of PV1 in
As discussed above, the substitution-based technique illustrated in
The model 4710 may be trained using the pruned PV training set 4760 and evaluated using the pruned PV evaluation set 4762. FPT2-cost-delta, a measure of the contribution of FPT2 to prediction run-time costs, may be computed as the difference between the prediction run-time metrics 4736 (corresponding to the pruning of FPT2 or PV2) and the original run-time metrics 4537 (which were obtained using a model trained/evaluated with all the candidate FPTs). The cost TC2 of re-training the model may be similar to the cost TC (shown in
The MLS may identify a set of candidate feature processing transformations (FPTs) that can be used to obtain processed variables or features from the raw training data, such that the features may in turn be used to predict values of the target variable(s) (element 4804). In at least some cases, one or more of the un-processed independent variables may also be included in the candidate sets of variables to be used for training; that is, not all the variables in a training set need be the results of FPTs. Depending on the nature of the problem or model, any of a wide variety of FPT candidates may be selected, such as quantile binning, Cartesian product generation, bi-gram generation, an n-gram generation, an orthogonal sparse bigram generation, a calendar-related transformation, an image processing function, an audio processing function, a bio-informatics processing function, or a natural language processing function. While the MLS may generally try to come up with a large list of candidates, in some embodiments, the number of different FPT candidates may be restricted based on one or more constraints, such as explicit or implicit goals for training time or training resources. In one embodiment, at least some of the FPT candidates may be dependent upon each other, e.g., the output of one FPT may be used as the input of another, and one or more directed graphs of FPT candidates may be generated in some cases to represent such relationships.
For at least a subset of the FPT candidates identified, respective estimates of the contribution of the FPT to the prediction quality of the model, and/or respective estimates of the effects of the FPT on metrics that impact the run-time goals may be determined (element 4807). For example, in one embodiment, the model may first be trained and evaluated using the complete set of candidate FPTs to obtain a best-case prediction quality measure and corresponding run-time metrics. Then, to obtain quality contributions, the model may be re-evaluated using modified evaluation data sets, e.g., evaluation data sets in which the values of a given processed variable are replaced by a mean value (or some other statistically derived replacement value) for that processed variable in the un-modified training set in a manner similar to that illustrated in
Using the estimates of quality contributions and cost impacts, the MLS may produce one or more feature processing proposals to be presented programmatically to the client (element 4810), e.g., without violating any explicit or implicit training time constraints or goals. If the client indicates an approval of a particular proposal FP1 (as detected in element 4813), that proposal may be implemented for subsequent runs (e.g., post-training production runs of the model) on behalf of the client (element 4816). If the client does not approve of any proposal put forth by the MLS (as also detected in element 4813), different combinations of FPTs may be selected for further training/testing (element 4819), and the operations corresponding to elements 4807 onwards may be repeated for the new combinations until either a proposal is accepted or a decision to abandon the optimization iterations is reached by the MLS or the client. In some embodiments, the client may be given the option of utilizing the full (un-optimized) candidate set of FPTs—that is, the MLS may retain a model variant that was trained using all the candidate FPTs that were identified prior to pruning.
In various embodiments, the MLS may have to prioritize among the goals indicated by the client—e.g., fast prediction execution times may be incompatible with low memory usage goals. In some such cases, the MLS may indicate such prioritizations to the client and obtain the client's approval for the selected ordering of goals. In at least some embodiments, the client may indicate or suggest a recipe of FPTs to be used, and the MLS may analyze at least some of the FPTs indicated in the recipe for possible inclusion in the candidate FPT set. In one implementation, even if the client does not indicate a recipe in the model creation request, the MLS may provide the FP proposal in the form of a recipe formatted in the MLS recipe language discussed earlier. The proposals (or recipes corresponding to the proposals) may be stored as artifacts in the MLS artifact repository in at least some embodiments.
After an FP proposal is approved by a client, it may be used for subsequent executions of the model (i.e., processed variables produced using the FP proposal may be used as input variables used to train the model and to make predictions using the model), potentially for many different production-mode data sets. A given client may submit several different model creation requests to the service, approve respective FP proposals for each model, and then utilize the approved models for a while. In some implementations, clients may wish to view the success rate with respect to their prediction run-time goals for various models after they are approved.
The client for whom the example dashboard shown in
It is noted that in various embodiments, operations other than those illustrated in the flow diagrams of
The techniques described above, of providing a network-accessible, scalable machine learning service that is geared towards users with a wide range of expertise levels in machine learning tools and methodologies may be beneficial for a wide variety of applications. Almost every business organization or government entity is capable of collecting data on various aspects its operations today, and the discovery of meaningful statistical and/or causal relationships between different components of the collected data and the organization's objectives may be facilitated by such a service. Users of the MLS may not have to concern themselves with the details of provisioning the specific resources needed for various tasks of machine learning workflows, such as data cleansing, input filtering, transformations of cleansed data into a format that can be fed into models, or model execution. Best practices developed over years of experience with different data cleansing approaches, transformation types, parameter settings for transformations as well as models may be incorporated into the programmatic interfaces (such as easy-to learn and easy-to-use APIs) of the MLS, e.g., in the form of default settings that users need not even specify. Users of the MLS may submit requests for various machine learning tasks or operations, some of which may depend on the completion of other tasks, without having to manually manage the scheduling or monitor the progress of the tasks (some of which may take hours or days, depending on the nature of the task or the size of the data set involved).
A logically centralized repository of machine learning objects corresponding to numerous types of entities (such as models, data sources, or recipes) may enable multiple users or collaborators to share and re-use feature-processing recipes on a variety of data sets. Expert users or model developers may add to the core functionality of the MLS by registering third-party or custom libraries and functions. The MLS may support isolated execution of certain types of operations for which enhanced security is required. The MLS may be used for, and may incorporate techniques optimized for, a variety of problem domains covering both supervised and unsupervised learning, such as, fraud detection, financial asset price predictions, insurance analysis, weather prediction, geophysical analysis, image/video processing, audio processing, natural language processing, medicine and bioinformatics and so on. Specific optimization techniques such as pruning of depth-first decision trees may be implemented by default in some cases without the MLS clients even being aware of the use of the techniques. For other types of optimizations, such as optimizations between training-time resource usage and prediction-time resource usage, clients may interact with the machine learning service to decide upon a mutually acceptable feature processing proposal.
In at least some embodiments, a server that implements one or more of the components of a machine learning service (including control-plane components such as API request handlers, input record handlers, recipe validators and recipe run-time managers, feature processing managers, plan generators, job schedulers, artifact repositories, and the like, as well as data plane components such as MLS servers implementing decision tree optimizations and/or category-based sampling) may include a general-purpose computer system that includes or is configured to access one or more computer-accessible media.
In various embodiments, computing device 9000 may be a uniprocessor system including one processor 9010, or a multiprocessor system including several processors 9010 (e.g., two, four, eight, or another suitable number). Processors 9010 may be any suitable processors capable of executing instructions. For example, in various embodiments, processors 9010 may be general-purpose or embedded processors implementing any of a variety of instruction set architectures (ISAs), such as the x86, PowerPC, SPARC, or MIPS ISAs, or any other suitable ISA. In multiprocessor systems, each of processors 9010 may commonly, but not necessarily, implement the same ISA. In some implementations, graphics processing units (GPUs) may be used instead of, or in addition to, conventional processors.
System memory 9020 may be configured to store instructions and data accessible by processor(s) 9010. In at least some embodiments, the system memory 9020 may comprise both volatile and non-volatile portions; in other embodiments, only volatile memory may be used. In various embodiments, the volatile portion of system memory 9020 may be implemented using any suitable memory technology, such as static random access memory (SRAM), synchronous dynamic RAM or any other type of memory. For the non-volatile portion of system memory (which may comprise one or more NVDIMMs, for example), in some embodiments flash-based memory devices, including NAND-flash devices, may be used. In at least some embodiments, the non-volatile portion of the system memory may include a power source, such as a supercapacitor or other power storage device (e.g., a battery). In various embodiments, memristor based resistive random access memory (ReRAM), three-dimensional NAND technologies, Ferroelectric RAM, magnetoresistive RAM (MRAM), or any of various types of phase change memory (PCM) may be used at least for the non-volatile portion of system memory. In the illustrated embodiment, program instructions and data implementing one or more desired functions, such as those methods, techniques, and data described above, are shown stored within system memory 9020 as code 9025 and data 9026.
In one embodiment, I/O interface 9030 may be configured to coordinate I/O traffic between processor 9010, system memory 9020, and any peripheral devices in the device, including network interface 9040 or other peripheral interfaces such as various types of persistent and/or volatile storage devices. In some embodiments, I/O interface 9030 may perform any necessary protocol, timing or other data transformations to convert data signals from one component (e.g., system memory 9020) into a format suitable for use by another component (e.g., processor 9010). In some embodiments, I/O interface 9030 may include support for devices attached through various types of peripheral buses, such as a variant of the Peripheral Component Interconnect (PCI) bus standard or the Universal Serial Bus (USB) standard, for example. In some embodiments, the function of I/O interface 9030 may be split into two or more separate components, such as a north bridge and a south bridge, for example. Also, in some embodiments some or all of the functionality of I/O interface 9030, such as an interface to system memory 9020, may be incorporated directly into processor 9010.
Network interface 9040 may be configured to allow data to be exchanged between computing device 9000 and other devices 9060 attached to a network or networks 9050, such as other computer systems or devices as illustrated in
In some embodiments, system memory 9020 may be one embodiment of a computer-accessible medium configured to store program instructions and data as described above for
Embodiments of the disclosure can be described in view of the following clauses:
1. A system, comprising:
one or more computing devices configured to:
2. The system as recited in clause 1, wherein the particular operation comprises one or more of: (a) a creation of the instance, (b) a read operation to obtain respective values of one or more attributes of the instance, (c) a modification of an attribute of the instance, (d) a deletion of the instance, (e) a search operation, or (f) an execute operation.
3. The system as recited in any of clauses 1-2, wherein the particular operation comprises assignment of an alias usable by a designated group of users of the machine learning service to execute a particular machine learning model, wherein the alias comprises a pointer to the particular machine learning model, wherein at least some users of the designated group of users are not permitted to modify the pointer.
4. The system as recited in any of clauses 1-3, wherein the set of programmatic interfaces comprises a representational state transfer application programming interface.
5. The system as recited in any of clauses 1-4, wherein the particular operation comprises a creation of a particular data source, wherein the one or more computing devices are further configured to:
6. A method, comprising:
performing, by one or more computing devices:
7. The method as recited in clause 6, wherein the particular operation comprises one or more of: (a) a creation of the instance, (b) a read operation to obtain respective values of one or more attributes of the instance, (c) a modification of an attribute of the instance, (d) a deletion of the instance, (e) a search operation, or (f) an execute operation.
8. The method as recited in any of clauses 6-7, wherein the particular operation comprises assignment of an alias usable by a designated group of users of the machine learning service to execute a particular machine learning model, wherein the alias comprises a pointer to the particular machine learning model, wherein at least some users of the designated group of users are not permitted to modify the pointer.
9. The method as recited in any of clauses 6-8, wherein the particular operation comprises a creation of a particular data source, further comprising performing, by the one or more computing devices:
10. The method as recited in clause 9, further comprising performing, by the one or more computing devices:
11. The method as recited in any of clauses 6-9, further comprising performing, by the one or more computing devices:
12. The method as recited in clause 11, further comprising performing, by the one or more computing devices:
13. The method as recited in any of clauses 6-9 or 11, further comprising performing, by the one or more computing devices
14. The method as recited in any of clauses 6-9, 11 or 13, further comprising performing, by the one or more computing devices:
15. The method as recited in any of clauses 6-9, 11, or 13-14, further comprising performing, by the one or more computing devices:
16. A non-transitory computer-accessible storage medium storing program instructions that when executed on one or more processors:
17. The non-transitory computer-accessible storage medium as recited in clause 16, wherein the particular operation comprises assignment of an alias usable by a designated group of users of the machine learning service to execute a particular machine learning model, wherein the alias comprises a pointer to the particular machine learning model, wherein at least some users of the designated group of users are not permitted to modify the pointer.
18. The non-transitory computer-accessible storage medium as recited in any of clauses 16-17, wherein the particular operation comprises a creation of a particular data source, wherein the instructions when executed at the one or more processors:
19. The non-transitory computer-accessible storage medium as recited in clause 18, wherein one or more variables comprise a plurality of variables, and wherein the instructions when executed on the one or more processors:
20. The non-transitory computer-accessible storage medium as recited in any of clauses 16-18, wherein the particular operation comprises an instantiated of a particular machine learning model in online mode, wherein the instructions when executed on the one or more processors:
21. The non-transitory computer-accessible storage medium as recited in any of clauses 16-18 or 20, wherein the instructions when executed on the one or more processors:
22. The non-transitory computer-accessible storage medium as recited in any of clauses 16-18 or 20-21, wherein the instructions when executed on the one or more processors:
Embodiments of the disclosure can also be described in view of the following clauses:
1. A system, comprising:
one or more computing devices configured to:
2. The system as recited in clause 1, wherein the one or more computing devices are further configured to:
3. The system as recited in any of clauses 1-2, wherein the one or more computing devices are further configured to:
4. The system as recited in any of clauses 1-3, wherein the text representation comprises an indication of a particular machine learning model to be executed using a result of the particular transformation operation.
5. The system as recited in any of clauses 1-4, wherein the one or more computing devices are further configured to:
6. A method, comprising:
performing, by one or more computing devices:
7. The method as recited in clause 6, wherein the first representation is a text representation or a binary representation.
8. The method as recited in any of clauses 6-7, wherein the first representation is generated by a client of the machine learning service using a tool obtained from the machine learning service.
9. The method as recited in any of clauses 6-8, wherein a data type of at least one variable of an input data record of the particular data set comprises one or more of: (a) text, (b) a numeric data type, (c) Boolean, (d) a binary data type, (d) a categorical data type, (e) an image processing data type, (f) an audio processing data type, (g) a bioinformatics data type, or (h) a structured data type.
10. The method as recited in clause 9, wherein the data type comprises a particular structured data type, further comprising performing, by the one or more computing devices:
11. The method as recited in any of clauses 6-9, wherein the first representation comprises an assignment section defining an intermediate variable in terms of one or more of: (a) an input data set variable or (b) an entity defined in the group definitions section, wherein the intermediate variable is referenced in the output section.
12. The method as recited in any of clauses 6-9 or 11, wherein the first representation comprises a dependency section indicating a reference to a particular artifact stored in a repository of the machine learning service, wherein the particular transformation operation consumes an output of the particular artifact as an input.
13. The method as recited in clause 12, wherein the particular artifact comprises one or more of: (a) a machine learning model, (b) a different recipe, (c) a statistics set or (d) an alias that includes a reference to a machine learning model.
14. The method as recited in any of clauses 6-9 or 11-12, wherein the particular transformation operation utilizes a user-defined function, further comprising performing, by the one or more computing devices:
15. The method as recited in any of clauses 6-9, 11-12 or 14, further comprising performing, by the one or more computing devices:
16. The method as recited in any of clauses 6-9, 11-12, or 14-15, further comprising performing, by the one or more computing devices:
17. The method as recited in any of clauses 6-9, 11-12, or 14-16, further comprising performing, by the one or more computing devices:
18. The method as recited in any of clauses 6-9, 11-12, or 14-17, wherein the first representation comprises an indication of a particular machine learning model to be executed using a result of the particular transformation operation.
19. The method as recited in any of clauses 6-9, 11-12, or 14-18, further comprising performing, by the one or more computing devices:
20. The method as recited in clause 19, further comprising performing, by the one or more computing devices:
21. The method as recited in any of clauses 19-20, further comprising performing, by the one or more computing devices:
22. The method as recited in any of clauses 19-21, wherein the plurality of parameter value options comprise one or more of: (a) respective lengths of n-grams to be derived from a language processing data set, (b) respective quantile bin boundaries for a particular variable, (c) image processing parameter values, (d) a number of clusters into which a data set is to be classified, (e) values for a cluster boundary threshold, or (f) dimensionality values for a vector representation of a text document.
23. A non-transitory computer-accessible storage medium storing program instructions that when executed on one or more processors:
24. The non-transitory computer-accessible storage medium as recited in clause 23, wherein the first representation comprises an assignment section defining an intermediate variable in terms of one or more of: (a) an input data set variable or (b) an entity defined in the group definitions section, wherein the intermediate variable is referenced in the output section.
25. The non-transitory computer-accessible storage medium as recited in any of clauses 23-24, wherein the first representation comprises a dependency section indicating a reference to a particular artifact stored in a repository of the machine learning service, wherein the particular transformation operation consumes an output of the particular artifact as an input.
26. The non-transitory computer-accessible storage medium as recited in any of clauses 23-25, wherein the particular artifact comprises one or more of: (a) a machine learning model, (b) a different recipe, (c) an alias or (d) a set of statistics.
27. The non-transitory computer-accessible storage medium as recited in any of clauses 23-26, wherein the set of library function definitions comprise one or more of: (a) a quantile bin function, (b) a Cartesian product function, (c) a bi-gram function, (d) an n-gram function, (e) an orthogonal sparse bigram function, (f) a calendar function, (g) an image processing function, (h) an audio processing function, (i) a bio-informatics processing function, or (j) a natural language processing function.
Embodiments of the disclosure can also be described in view of the following clauses:
1. A system, comprising:
one or more computing devices configured to:
2. The system as recited in clause 1, wherein the one or more computing devices are further configured to:
3. The system as recited in any of clauses 1-2, wherein the one or more computing devices are further configured to:
4. The system as recited in any of clauses 1-3, wherein the one or more computing devices are further configured to:
5. The system as recited in any of clauses 1-4, wherein the one or more computing devices are further configured to:
6. A method, comprising:
performing, on one or more computing devices:
7. The method as recited in clause 6, wherein the one or more data sources comprise one or more storage objects including a particular storage object, wherein said mapping the particular data set into the plurality of chunks comprises determining, based at least in part on a chunk size parameter, a candidate offset within the particular storage object as a candidate ending boundary of the particular chunk, further comprising performing, by the one or more computing devices:
8. The method as recited in clause 7, wherein said selecting, as the ending boundary, the particular delimiter comprises:
9. The method as recited in any of clauses 6-7, wherein the one or more data sources comprise one or more of: (a) a single-host file system, (b) a distributed file system, (c) a storage object accessible via a web service interface from a network-accessible storage service, (d) a storage volume presenting a block-level device interface, or (e) a database.
10. The method as recited in any of clauses 6-7 or 9, wherein the request is formatted in accordance with an application programming interface of the machine learning service.
11. The method as recited in any of clauses 6-7 or 9-10, further comprising performing, by the one or more computing devices:
12. The method as recited in any of clauses 6-7 or 9-11, further comprising performing, by the one or more computing devices:
13. The method as recited in any of clauses 6-7 or 9-12, wherein the plurality of observation records comprises a first observation record of a first record length, and a second observation record of a different record length.
14. The method as recited in any of clauses 6-7 or 9-13, further comprising performing, by the one or more computing devices:
15. The method as recited in any of clauses 6-7 or 9-14, further comprising performing, by the one or more computing devices:
16. The method as recited in any of clauses 6-7 or 9-15, further comprising performing, by the one or more computing devices:
17. A non-transitory computer-accessible storage medium storing program instructions that when executed on one or more processors:
18. The non-transitory computer-accessible storage medium as recited in clause 17, wherein the particular data set comprises contents of one or more of: (a) a single-host file system, (b) a distributed file system, (c) a storage object accessible via a web service interface from a network-accessible storage service, (d) a storage volume presenting a block-level device interface, or (e) a database.
19. The non-transitory computer-accessible storage medium as recited in any of clauses 17-18, wherein the second operation comprises an intra-chunk filtering operation.
20. The non-transitory computer-accessible storage medium as recited in any of clauses 17-19, wherein the second operation comprises a cross-chunk filtering operation performed on a plurality of observation records including a first observation record identified within the particular chunk and a second observation record identified within a different chunk of the plurality of chunks.
21. The non-transitory computer-accessible storage medium as recited in any of clauses 17-20, wherein the second operation is an in-memory operation performed without copying the particular chunk to a different persistent storage device and without re-reading contents of the particular chunk from the one or more persistent storage devices.
22. The non-transitory computer-accessible storage medium as recited in any of clauses 17-21, wherein the operation type of the first chunk-level operation is partitioning for a parallel computation, wherein the first chunk-level operation includes a plurality of model training operations including a first training operation and a second training operation, wherein an execution duration of the first training operation overlaps at least in part with an execution duration of the second training operation.
Embodiments of the disclosure can also be described in view of the following clauses:
1. A system, comprising:
one or more computing devices configured to:
2. The system as recited in clause 1, wherein the one or more computing devices are further configured to:
3. The system as recited in any of clauses 1-2, wherein the one or more computing devices are configured to:
4. The system as recited in any of clauses 1-3, wherein the consistency metadata is based at least in part on an identifier of a data object in which one or more observation records of the particular data set are stored.
5. The system as recited in any of clauses 1-4, wherein the one or more computing devices are further configured to:
6. A method, comprising:
one or more computing devices configured to:
7. The method as recited in clause 6, further comprising performing, by the one or more computing devices:
8. The method as recited in any of clauses 6-7, further comprising performing, by the one or more computing devices:
9. The method as recited in clause 8, wherein the request is formatted in accordance with a particular programmatic interface implemented by a machine learning service of a provider network.
10. The method as recited in any of clauses 6-8, wherein the consistency metadata is based at least in part on an identifier of a data object in which one or more observation records of the particular data set are stored.
11. The method as recited in any of clauses 6-8 or 10, wherein the first training set comprises at least one observation record of a third chunk of the plurality of chunks, and wherein the first test set comprises at least one observation record of the third chunk.
12. The method as recited in any of clauses 6-8 or 10-11, further comprising performing, by the one or more computing devices:
13. The method as recited in any of clauses 6-8 or 10-12, further comprising performing, by the one or more computing devices:
14. The method as recited in any of clauses 6-8 or 10-13, wherein the particular data set is stored in a plurality of data objects, further comprising:
15. The method as recited in any of clauses 6-8 or 10-14, wherein the one or more training-and-evaluation iterations are cross-validation iterations of the machine learning model.
16. A non-transitory computer-accessible storage medium storing program instructions that when executed on one or more processors:
17. The non-transitory computer-accessible storage medium as recited in clause 16, wherein the instructions when executed on the one or more processors:
18. The non-transitory computer-accessible storage medium as recited in any of clauses 16-17, wherein the instructions when executed on the one or more processors:
19. The non-transitory computer-accessible storage medium as recited in any of clauses 16-18, wherein the consistency metadata is based at least in part on an identifier of a data object in which one or more observation records of the particular data set are stored.
20. The non-transitory computer-accessible storage medium as recited in in any of clauses 16-19, wherein the instructions when executed on the one or more processors:
Embodiments of the disclosure can also be described in view of the following clauses:
1. A system, comprising:
one or more computing devices configured to:
2. The system as recited in clause 1, wherein the PUM comprises one or more of: (a) an indication of a Gini impurity, (b) an information gain metric, or (c) an entropy metric.
3. The system as recited in any of clauses 1-2, wherein the one or more run-time optimization goals include one or more of: (a) a prediction time goal, (b) a processor utilization goal, or (c) a budget goal.
4. The system as recited in any of clauses 1-3, wherein the one or more computing devices are further configured to:
generate a representation of a distribution of values of the PUM among the one or more nodes; and
select the particular node for removal based at least in part on the distribution.
5. The system as recited in any of clauses 1-4, wherein the machine learning model comprises one or more of: (a) a Random Forest model, (b) a classification and regression tree (CART) model, or (c) an adaptive boosting model.
6. A method, comprising:
performing, by one or more computing devices:
7. The method as recited in clause 6, wherein the particular node is selected for removal based at least in part on one or more run-time optimization goals for an execution of the model, including one or more of: (a) a memory-footprint goal (b) a prediction time goal, (c) a processor utilization goal, or (d) a budget goal.
8. The method as recited in any of clauses 6-7, wherein the PUM comprises one or more of: (a) an indication of a Gini impurity, (b) an information gain metric, or (c) an entropy metric.
9. The method as recited in any of clauses 6-8, further comprising performing, by the one or more computing devices:
determining a distribution of values of the PUM among the one or more nodes; and
selecting the particular node for removal based at least in part on the distribution.
10. The method as recited in any of clauses 6-9, further comprising performing, by the one or more computing devices:
11. The method as recited in any of clauses 6-10, further comprising performing, by the one or more computing devices:
12. The method as recited in any of clauses 6-11, wherein the machine learning model comprises one or more of: (a) a Random Forest model, (b) a classification and regression tree (CART) model, or (c) an adaptive boosting model.
13. The method as recited in any of clauses 6-12, wherein the machine learning model is configured to utilize a plurality of decision trees including the particular decision tree, wherein the particular decision tree is generated at a particular thread of execution of a plurality of threads of execution of a machine learning service, further comprising performing, by the one or more computing devices:
14 The method as recited in any of clauses 6-13, wherein the machine learning model is configured to utilize a plurality of decision trees including the particular decision tree, wherein the modified version of the particular decision tree is generated at a particular thread of execution of a plurality of threads of execution of a machine learning service, further comprising performing, by the one or more computing devices:
15. The method as recited in any of clauses 6-14, wherein the machine learning model is configured to utilize a plurality of decision trees including the particular decision tree, wherein the particular prediction is obtained at a particular thread of execution of a plurality of threads of execution of a machine learning service, further comprising:
16. A non-transitory computer-accessible storage medium storing program instructions that when executed on one or more processors:
17. The non-transitory computer-accessible storage medium as recited in clause 16, wherein the particular node is selected for removal based at least in part on one or more run-time optimization goals for an execution of the machine learning model, including one or more of: (a) a memory-footprint goal (b) a prediction time goal, (c) a processor utilization goal, or (d) a budget goal.
18. The non-transitory computer-accessible storage medium as recited in any of clauses 16-17, wherein the particular node is selected for removal based at least in part on one or more goals specified by a client on whose behalf the machine learning model is created.
19. The non-transitory computer-accessible storage medium as recited in any of clauses 16-18, wherein the instructions when executed at the one or more processors:
store a representation of a distribution of values of the PUM among the one or more nodes; and
select the particular node for removal based at least in part on the distribution.
20. The non-transitory computer-accessible storage medium as recited in any of clauses 16-19, wherein the plurality of nodes of the particular decision tree is generated in response to an invocation of a programmatic interface of a machine learning service implemented at a provider network.
21. The non-transitory computer-accessible storage medium as recited in any of clauses 16-20, wherein the one or more tree-construction periods comprise a second tree-construction period performed after the first tree-pruning period, wherein the one or more tree-pruning periods comprise a second tree-pruning period performed after the second tree-construction period, and wherein the instructions when executed on the one or more processors:
Embodiments of the disclosure can also be described in view of the following clauses:
1. A system, comprising:
one or more computing devices configured to:
2. The system as recited in clause 1, wherein to determine the quality estimate, the one or more computing devices implement a plurality of evaluation runs of the machine learning model, including a first evaluation run in which a first set of values of the particular processed variable are provided as input to the machine learning model, and a second evaluation run in which a different set of values of the particular processed variable are provided as input to the machine learning model.
3. The system as recited in any of clauses 1-2, wherein to determine the cost estimate, the one or more computing devices implement respective evaluation runs of a first variant of the machine learning model and a second variant of the machine learning model, wherein the first variant is trained using a first training set that includes the particular processed variable, and the second variant is trained using a second training set that excludes the particular processed variable.
4. The system as recited in any of clauses 1-3, wherein the particular prediction quality metric comprises one or more of: (a) an AUC (area under curve) metric, (b) an accuracy metric, (c) a recall metric, (d) a sensitivity metric, (e) a true positive rate, (f) a specificity metric, (g) a true negative rate, (h) a precision metric, (i) a false positive rate, (j) a false negative rate, (k) an F1 score, (l) a coverage metric, (m) an absolute percentage error metric, or (n) a squared error metric.
5. The system as recited in any of clauses 1-4, wherein the particular feature processing transformation comprises a use of one or more of: (a) a quantile bin function, (b) a Cartesian product function, (c) a bi-gram function, (d) an n-gram function, (e) an orthogonal sparse bigram function, (f) a calendar function, (g) an image processing function, (h) an audio processing function, (i) a bio-informatics processing function, or (j) a natural language processing function.
6. A method, comprising:
performing, by one or more computing devices:
7. The method as recited in clause 6, further comprising performing, by the one or more computing devices:
8. The method as recited in any of clauses 6-7, wherein said implementing the feature processing plan is responsive to obtaining, from the client, an indication of approval of the particular feature processing proposal.
9. The method as recited in any of clauses 6-7, further comprising performing, by the one or more computing devices:
10. The method as recited in any of clauses 6-7 or 9, wherein further comprising performing, by the one or more computing devices:
11. The method as recited in any of clauses 6-7 or 9-10, wherein the particular prediction quality metric comprises one or more of: (a) an AUC (area under curve) metric, (b) an accuracy metric, (c) a recall metric, (d) a sensitivity metric, (e) a true positive rate, (f) a specificity metric, (g) a true negative rate, (h) a precision metric, (i) a false positive rate, (j) a false negative rate, (k) an F1 score, (l) a coverage metric, (m) an absolute percentage error metric, or (n) a squared error metric.
12. The method as recited in any of clauses 6-7 or 9-11, wherein the particular feature processing transformation comprises a use of one or more of: (a) a quantile bin function, (b) a Cartesian product function, (c) a bi-gram function, (d) an n-gram function, (e) an orthogonal sparse bigram function, (f) a calendar function, (g) an image processing function, (h) an audio processing function, (i) a bio-informatics processing function, or (j) a natural language processing function.
13. The method as recited in any of clauses 6-7 or 9-12, wherein the particular prediction goal comprises one or more of: (a) a model execution time goal, (b) a memory usage goal, (c) a processor usage goal, (d) a storage usage goal, (e) a network usage goal, or (f) a budget.
14. The method as recited in any of clauses 6-7 or 9-13, further comprising performing, by the one or more computing devices:
15. The method as recited in any of clauses 6-7 or 9-14, wherein said determining the quality estimate comprises implementing a plurality of evaluation runs of the machine learning model, including a first evaluation run in which a first set of values of the particular processed variable are provided as input to the machine learning model, and a second evaluation run in which a different set of values of the particular processed variable are provided as input to the machine learning model.
16. The method as recited in any of clauses 6-7 or 9-15, wherein said determining the cost estimate comprises implementing respective evaluation runs of a first variant of the machine learning model and a second variant of the machine learning model, wherein the first variant is trained using a first set of input variables that includes the particular processed variable, and the second variant is trained using a second set of input variables that excludes the particular processed variable.
17. The method as recited in any of clauses 6-7 or 9-16, further comprising performing, by the one or more computing devices:
18. A non-transitory computer-accessible storage medium storing program instructions that when executed on one or more processors:
19. The non-transitory computer-accessible storage medium as recited in clause 18, wherein the instructions when executed on the one or more processors:
20. The non-transitory computer-accessible storage medium as recited in any of clauses 18-19, wherein the machine learning model comprises one or more of: (a) a classification model, (b) a regression model, (c) a natural language processing (NLP) model, or (d) a clustering model.
21. The non-transitory computer-accessible storage medium as recited in any of clauses 18-20, wherein the particular feature processing transformation comprises a use of one or more of: (a) a quantile bin function, (b) a Cartesian product function, (c) a bi-gram function, (d) an n-gram function, (e) an orthogonal sparse bigram function, (f) a calendar function, (g) an image processing function, (h) an audio processing function, (i) a bio-informatics processing function, or (j) a natural language processing function.
Various embodiments may further include receiving, sending or storing instructions and/or data implemented in accordance with the foregoing description upon a computer-accessible medium. Generally speaking, a computer-accessible medium may include storage media or memory media such as magnetic or optical media, e.g., disk or DVD/CD-ROM, volatile or non-volatile media such as RAM (e.g. SDRAM, DDR, RDRAM, SRAM, etc.), ROM, etc., as well as transmission media or signals such as electrical, electromagnetic, or digital signals, conveyed via a communication medium such as network and/or a wireless link.
The various methods as illustrated in the Figures and described herein represent exemplary embodiments of methods. The methods may be implemented in software, hardware, or a combination thereof. The order of method may be changed, and various elements may be added, reordered, combined, omitted, modified, etc.
Various modifications and changes may be made as would be obvious to a person skilled in the art having the benefit of this disclosure. It is intended to embrace all such modifications and changes and, accordingly, the above description to be regarded in an illustrative rather than a restrictive sense.
This application is a continuation of U.S. patent application Ser. No. 16/231,124, filed Dec. 21, 2018, which is a continuation of U.S. patent application Ser. No. 14/489,448, filed Sep. 17, 2017, now U.S. Pat. No. 10,169,715, which U.S. application Ser. No. 14/489,448 is a continuation-in-part of U.S. patent application Ser. No. 14/319,902, filed Jun. 30, 2014, now U.S. Pat. No. 10,102,480 which are herein incorporated by reference in their entirety.
Number | Date | Country | |
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Parent | 16231124 | Dec 2018 | US |
Child | 17810554 | US | |
Parent | 14489448 | Sep 2014 | US |
Child | 16231124 | US |
Number | Date | Country | |
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Parent | 14319902 | Jun 2014 | US |
Child | 14489448 | US |