This disclosure relates generally to field of data processing, and more particularly to speech recognition.
Deep learning based speech enhancement and speech separation methods have attracted much research attention. However, purely neural network based front-end approaches may cause nonlinear speech distortions. The speech distortion can degrade the performance of the speech recognition system, even for commercial general-purpose automatic speech recognition engines which are already robust enough to the background noise. The minimum variance distortionless response (MVDR) beamformer explicitly requires distortionless filtering on the target direction and has significantly less speech distortions in separated speech.
Embodiments relate to a method, system, and computer readable medium for automatic speech recognition based on multi-tap minimum variance distortionless response (MVDR). According to one aspect, a method for automatic speech recognition is provided. The method may include receiving video data and audio data corresponding to one or more speakers is received. A minimum variance distortionless response function is applied to the received audio and video data. A predicted target waveform corresponding to a target speaker from among the one or more speakers is generated based on back-propagating the output of the applied minimum variance distortionless response function.
According to another aspect, a computer system for automatic speech recognition is provided. The computer system may include one or more processors, one or more computer-readable memories, one or more computer-readable tangible storage devices, and program instructions stored on at least one of the one or more storage devices for execution by at least one of the one or more processors via at least one of the one or more memories, whereby the computer system is capable of performing a method. The method may include receiving video data and audio data corresponding to one or more speakers is received. A minimum variance distortionless response function is applied to the received audio and video data. A predicted target waveform corresponding to a target speaker from among the one or more speakers is generated based on back-propagating the output of the applied minimum variance distortionless response function.
According to yet another aspect, a computer readable medium for automatic speech recognition is provided. The computer readable medium may include one or more computer-readable storage devices and program instructions stored on at least one of the one or more tangible storage devices, the program instructions executable by a processor. The program instructions are executable by a processor for performing a method that may accordingly include receiving video data and audio data corresponding to one or more speakers is received. A minimum variance distortionless response function is applied to the received audio and video data. A predicted target waveform corresponding to a target speaker from among the one or more speakers is generated based on back-propagating the output of the applied minimum variance distortionless response function.
These and other objects, features and advantages will become apparent from the following detailed description of illustrative embodiments, which is to be read in connection with the accompanying drawings. The various features of the drawings are not to scale as the illustrations are for clarity in facilitating the understanding of one skilled in the art in conjunction with the detailed description. In the drawings:
Detailed embodiments of the claimed structures and methods are disclosed herein; however, it can be understood that the disclosed embodiments are merely illustrative of the claimed structures and methods that may be embodied in various forms. Those structures and methods may, however, be embodied in many different forms and should not be construed as limited to the exemplary embodiments set forth herein. Rather, these exemplary embodiments are provided so that this disclosure will be thorough and complete and will fully convey the scope to those skilled in the art. In the description, details of well-known features and techniques may be omitted to avoid unnecessarily obscuring the presented embodiments.
Embodiments relate generally to the field of data processing, and more particularly to speech recognition. The following described exemplary embodiments provide a system, method and computer program for, among other things, automatic speech recognition based on multi-tap minimum variance distortionless response (MVDR). Therefore, some embodiments have the capacity to improve the field of computing by allowing for the recognition and separation of the speech of a target speaker from among a group of speakers.
As previously described, deep learning based speech enhancement and speech separation methods have attracted much research attention. However, purely neural network based front-end approaches may cause nonlinear speech distortions. The speech distortion can degrade the performance of the speech recognition system, even for commercial general-purpose automatic speech recognition engines which are already robust enough to the background noise. The minimum variance distortionless response (MVDR) beamformer explicitly requires distortionless filtering on the target direction and has significantly less speech distortions in separated speech
MVDR has been improved by exploiting better covariance matrix computation through neural network estimated ideal ratio masks (IRMs). However, although neural network mask based MVDR can achieve better speech recognition accuracy than purely neural network based approaches due to less distortions, the residual noise level of the enhanced speech is high. It may be advantageous, therefore, to use a neural spatio-temporal beamforming approach, named multi-tap MVDR beamformer with complex-valued masks, for speech separation and enhancement to simultaneously obtain high speech recognition accuracy and a high quality score by utilizing inter-microphone correlation and inter-frame correlation. Additionally, replacement of real-valued masks with complex-valued masks and the joint training of the complex masks in the multi-tap MVDR framework may further increase speech recognition accuracy.
Aspects are described herein with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer readable media according to the various embodiments. It will be understood that each block of the flowchart illustrations and/or block diagrams, and combinations of blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer readable program instructions.
The following described exemplary embodiments provide a system, method and computer program for automatic speech recognition. Referring now to
The system 100 may include a computer 102 and a server computer 114. The computer 102 may communicate with the server computer 114 via a communication network 110 (hereinafter “network”). The computer 102 may include a processor 104 and a software program 108 that is stored on a data storage device 106 and is enabled to interface with a user and communicate with the server computer 114. As will be discussed below with reference to
The server computer 114 may also operate in a cloud computing service model, such as Software as a Service (SaaS), Platform as a Service (PaaS), or Infrastructure as a Service (IaaS), as discussed below with respect to
The server computer 114, which may be used for recognizing and separating the speech of a target speaker based on multi-tap MVDR is enabled to run a Multi-Tap MVDR Program 116 (hereinafter “program”) that may interact with a database 112. The Multi-Tap MVDR Program method is explained in more detail below with respect to
It should be noted, however, that processing for the program 116 may, in some instances be shared amongst the computers 102 and the server computers 114 in any ratio. In another embodiment, the program 116 may operate on more than one computer, server computer, or some combination of computers and server computers, for example, a plurality of computers 102 communicating across the network 110 with a single server computer 114. In another embodiment, for example, the program 116 may operate on a plurality of server computers 114 communicating across the network 110 with a plurality of client computers. Alternatively, the program may operate on a network server communicating across the network with a server and a plurality of client computers.
The network 110 may include wired connections, wireless connections, fiber optic connections, or some combination thereof. In general, the network 110 can be any combination of connections and protocols that will support communications between the computer 102 and the server computer 114. The network 110 may include various types of networks, such as, for example, a local area network (LAN), a wide area network (WAN) such as the Internet, a telecommunication network such as the Public Switched Telephone Network (PSTN), a wireless network, a public switched network, a satellite network, a cellular network (e.g., a fifth generation (5G) network, a long-term evolution (LTE) network, a third generation (3G) network, a code division multiple access (CDMA) network, etc.), a public land mobile network (PLMN), a metropolitan area network (MAN), a private network, an ad hoc network, an intranet, a fiber optic-based network, or the like, and/or a combination of these or other types of networks.
The number and arrangement of devices and networks shown in
Referring now to
The video encoder 202 may receive video data 208 that may provide speaker-dependent information, lip movement sequence and the direction of arrival of a target speaker θ. One or more RGB pixels corresponding to the target speaker's mouth may be used to represent the target speaker's lip feature. The video encoder 202 may use a 3-D residual network to extract speech-related lip movement embeddings from the video data 208.
The audio encoder 204 may receive audio data 210 that may include speaker-independent features, such as log-power spectra (LPS) and interaural phase difference (IPD), and speaker-dependent features such as direction. A multi-element non-uniform linear microphone array may be co-located with a 180-degree wide-angle camera for capturing the audio data 210. The location of the target speaker's face in the whole camera view may provide a rough direction of arrival estimation of the target speaker. A location-guided directional feature d(θ) may be used to extract the target speech from the specific direction of arrival. The directional feature may calculate the cosine similarity between the target steering vector v(θ) and IPDs.
The multi-tap MVDR module 206 may be used as a beamformer for automatic speech recognition that may minimize the power of noise (e.g., interfering speech and additive noise) while ensuring that a signal at the desired direction is not distorted. This may be formulated as:
where
ΦNN(f)∈M×M
may be the covariance matrix of noise N at a frequency bin f, and v may be a target steering vector. M may correspond to a number of microphones. It may be appreciated that there may be several solution variants for this optimization problem. By way of example, and not of limitation, the solution based on the reference channel selection may be:
where u may be a one-hot vector representing a reference microphone channel and ΦSS may represent a covariance matrix of the target speech.
According to one embodiment, a mask-based MVDR approach may be used for covariance matrix estimation to estimate the target speech, and thus the covariance matrix, given a NN-based mask estimator. A ReLU-Mask and linear uncompressed complex-valued mask may be used for the covariance matrix calculation. The ReLU-mask or the STFT magnitude mask may be given as:
where |S| and |Y| may represent the target speech magnitude and noisy speech magnitude, respectively. The range of ReLU-Mask may lie in [0,+∞]. It may be appreciated that no value clipping may be needed in because the scale-invariant source-to-noise ratio (Si-SNR) loss function may be optimized on the recovered time-domain waveform, rather than on the mask itself. Given a real-valued mask M (as the output of a sigmoid or ReLU function) defined on the magnitude, the target speech covariance matrix of the beamformer can be computed as,
The covariance matrix estimation may be better achieved with a complex-valued mask. The complex mask may be given as:
S=S
r
+jS
i=(CMr+jCMi)*(Yr+jYi)=CM*Y,
where r and i may denote the real part and the imaginary parts of the complex spectrum, respectively. The theoretical range of complex mask may lie in [−∞,+∞]. The complex mask may be implicitly estimated with a linear activation function and multiplied with the complex spectrum of the mixture to obtain a target waveform 212. The Si-SNR loss function may be optimized on the reconstructed time-domain waveform rather than on complex mask itself. With a complex mask, the target speech covariance matrix may be rewritten as:
where M and the complex mask may be shared across channels. The mask normalization in the denominator may allow the weighted mask to attend on the most related frames. The corresponding noise covariance matrix can be computed in a similar way. According to the MVDR solution, the beamformed speech of the target speaker can be estimated by:
Ŝ(t,f)=wH(f)Y(t,f).
According to another embodiment, a complex mask based multi-tap MVDR may be used by the multi-tap MVDR module 206. The multi-tap MVDR module 206 may utilize inter-frame correlation for multi-channel neural beamforming to achieve distortionless speech and low residual noise simultaneously. An L-tap representation of the mixture speech may be given as:
The multi-tap MVDR solution to calculating the covariance matrix may be given as:
It may be appreciated that that the multi-tap MVDR may follow the optimization process of MVDR for the multi-channel scenario and may differ from the multi-frame MVDR defined for a single channel. The enhanced speech of the multi-tap MVDR can be given as:
Ŝ(t,f)=
The beamformed spectrum may be converted to the target waveform 212 using an inverse short-time Fourier transform. The Si-SNR loss calculated on the target waveform 212 may be back-propagated through all of the modules (including the multi-tap MVDR module and the networks) via the back-propagation link 214. The multi-tap MVDR module 206 may utilize a correlation of nearest frames (mainly in an early reflection area) and may be used to recover only reverberant clean speech.
Referring now to
At 302, video data and audio data corresponding to one or more speakers is received. The video data may be captured by one or more cameras and may correspond to mouth and lip movement data associated with the one or more speakers. The audio data may be captured by one or more microphones and may correspond to speech associated with the one or more speakers. In operation, the Multi-Tap MVDR Program 116 (
At 304, a minimum variance distortionless response (MVDR) function is to the received audio and video data. The MVDR function may be used to recognize speech from the received audio and video data. In operation, the multi-tap MVDR module 206 (
At 306, a predicted target waveform corresponding to a target speaker from among the one or more speakers is generated based on back-propagating the output of the applied minimum variance distortionless response function. A scale-invariant source-to-noise ratio loss value may be calculated based on the generated predicted target waveform and back-propagated through the system. The target waveform may be refined by generating a new waveform based on the back-propagated loss value. In operation, the multi-tap MVDR module 206 (
It may be appreciated that
Computer 102 (
Processor 820 is implemented in hardware, firmware, or a combination of hardware and software. Processor 820 is a central processing unit (CPU), a graphics processing unit (GPU), an accelerated processing unit (APU), a microprocessor, a microcontroller, a digital signal processor (DSP), a field-programmable gate array (FPGA), an application-specific integrated circuit (ASIC), or another type of processing component. In some implementations, processor 820 includes one or more processors capable of being programmed to perform a function. Bus 826 includes a component that permits communication among the internal components 800A,B.
The one or more operating systems 828, the software program 108 (
Each set of internal components 800A,B also includes a R/W drive or interface 832 to read from and write to one or more portable computer-readable tangible storage devices 936 such as a CD-ROM, DVD, memory stick, magnetic tape, magnetic disk, optical disk or semiconductor storage device. A software program, such as the software program 108 (
Each set of internal components 800A,B also includes network adapters or interfaces 836 such as a TCP/IP adapter cards; wireless Wi-Fi interface cards; or 3G, 4G, or 5G wireless interface cards or other wired or wireless communication links. The software program 108 (
Each of the sets of external components 900A,B can include a computer display monitor 920, a keyboard 930, and a computer mouse 934. External components 900A,B can also include touch screens, virtual keyboards, touch pads, pointing devices, and other human interface devices. Each of the sets of internal components 800A,B also includes device drivers 840 to interface to computer display monitor 920, keyboard 930 and computer mouse 934. The device drivers 840, R/W drive or interface 832 and network adapter or interface 836 comprise hardware and software (stored in storage device 830 and/or ROM 824).
It is understood in advance that although this disclosure includes a detailed description on cloud computing, implementation of the teachings recited herein are not limited to a cloud computing environment. Rather, some embodiments are capable of being implemented in conjunction with any other type of computing environment now known or later developed.
Cloud computing is a model of service delivery for enabling convenient, on-demand network access to a shared pool of configurable computing resources (e.g. networks, network bandwidth, servers, processing, memory, storage, applications, virtual machines, and services) that can be rapidly provisioned and released with minimal management effort or interaction with a provider of the service. This cloud model may include at least five characteristics, at least three service models, and at least four deployment models.
Characteristics are as follows:
On-demand self-service: a cloud consumer can unilaterally provision computing capabilities, such as server time and network storage, as needed automatically without requiring human interaction with the service's provider.
Broad network access: capabilities are available over a network and accessed through standard mechanisms that promote use by heterogeneous thin or thick client platforms (e.g., mobile phones, laptops, and PDAs).
Resource pooling: the provider's computing resources are pooled to serve multiple consumers using a multi-tenant model, with different physical and virtual resources dynamically assigned and reassigned according to demand. There is a sense of location independence in that the consumer generally has no control or knowledge over the exact location of the provided resources but may be able to specify location at a higher level of abstraction (e.g., country, state, or datacenter).
Rapid elasticity: capabilities can be rapidly and elastically provisioned, in some cases automatically, to quickly scale out and rapidly released to quickly scale in. To the consumer, the capabilities available for provisioning often appear to be unlimited and can be purchased in any quantity at any time.
Measured service: cloud systems automatically control and optimize resource use by leveraging a metering capability at some level of abstraction appropriate to the type of service (e.g., storage, processing, bandwidth, and active user accounts). Resource usage can be monitored, controlled, and reported providing transparency for both the provider and consumer of the utilized service.
Service Models are as follows:
Software as a Service (SaaS): the capability provided to the consumer is to use the provider's applications running on a cloud infrastructure. The applications are accessible from various client devices through a thin client interface such as a web browser (e.g., web-based e-mail). The consumer does not manage or control the underlying cloud infrastructure including network, servers, operating systems, storage, or even individual application capabilities, with the possible exception of limited user-specific application configuration settings.
Platform as a Service (PaaS): the capability provided to the consumer is to deploy onto the cloud infrastructure consumer-created or acquired applications created using programming languages and tools supported by the provider. The consumer does not manage or control the underlying cloud infrastructure including networks, servers, operating systems, or storage, but has control over the deployed applications and possibly application hosting environment configurations.
Infrastructure as a Service (IaaS): the capability provided to the consumer is to provision processing, storage, networks, and other fundamental computing resources where the consumer is able to deploy and run arbitrary software, which can include operating systems and applications. The consumer does not manage or control the underlying cloud infrastructure but has control over operating systems, storage, deployed applications, and possibly limited control of select networking components (e.g., host firewalls).
Deployment Models are as follows:
Private cloud: the cloud infrastructure is operated solely for an organization. It may be managed by the organization or a third party and may exist on-premises or off-premises.
Community cloud: the cloud infrastructure is shared by several organizations and supports a specific community that has shared concerns (e.g., mission, security requirements, policy, and compliance considerations). It may be managed by the organizations or a third party and may exist on-premises or off-premises.
Public cloud: the cloud infrastructure is made available to the general public or a large industry group and is owned by an organization selling cloud services.
Hybrid cloud: the cloud infrastructure is a composition of two or more clouds (private, community, or public) that remain unique entities but are bound together by standardized or proprietary technology that enables data and application portability (e.g., cloud bursting for load-balancing between clouds).
A cloud computing environment is service oriented with a focus on statelessness, low coupling, modularity, and semantic interoperability. At the heart of cloud computing is an infrastructure comprising a network of interconnected nodes.
Referring to
Referring to
Hardware and software layer 60 includes hardware and software components. Examples of hardware components include: mainframes 61; RISC (Reduced Instruction Set Computer) architecture based servers 62; servers 63; blade servers 64; storage devices 65; and networks and networking components 66. In some embodiments, software components include network application server software 67 and database software 68.
Virtualization layer 70 provides an abstraction layer from which the following examples of virtual entities may be provided: virtual servers 71; virtual storage 72; virtual networks 73, including virtual private networks; virtual applications and operating systems 74; and virtual clients 75.
In one example, management layer 80 may provide the functions described below. Resource provisioning 81 provides dynamic procurement of computing resources and other resources that are utilized to perform tasks within the cloud computing environment. Metering and Pricing 82 provide cost tracking as resources are utilized within the cloud computing environment, and billing or invoicing for consumption of these resources. In one example, these resources may comprise application software licenses. Security provides identity verification for cloud consumers and tasks, as well as protection for data and other resources. User portal 83 provides access to the cloud computing environment for consumers and system administrators. Service level management 84 provides cloud computing resource allocation and management such that required service levels are met. Service Level Agreement (SLA) planning and fulfillment 85 provide pre-arrangement for, and procurement of, cloud computing resources for which a future requirement is anticipated in accordance with an SLA.
Workloads layer 90 provides examples of functionality for which the cloud computing environment may be utilized. Examples of workloads and functions which may be provided from this layer include: mapping and navigation 91; software development and lifecycle management 92; virtual classroom education delivery 93; data analytics processing 94; transaction processing 95; and Multi-Tap MVDR 96. Multi-Tap MVDR 96 may recognize and separate speech of a target speaker based on multi-tap MVDR.
Some embodiments may relate to a system, a method, and/or a computer readable medium at any possible technical detail level of integration. The computer readable medium may include a computer-readable non-transitory storage medium (or media) having computer readable program instructions thereon for causing a processor to carry out operations.
The computer readable storage medium can be a tangible device that can retain and store instructions for use by an instruction execution device. The computer readable storage medium may be, for example, but is not limited to, an electronic storage device, a magnetic storage device, an optical storage device, an electromagnetic storage device, a semiconductor storage device, or any suitable combination of the foregoing. A non-exhaustive list of more specific examples of the computer readable storage medium includes the following: a portable computer diskette, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or Flash memory), a static random access memory (SRAM), a portable compact disc read-only memory (CD-ROM), a digital versatile disk (DVD), a memory stick, a floppy disk, a mechanically encoded device such as punch-cards or raised structures in a groove having instructions recorded thereon, and any suitable combination of the foregoing. A computer readable storage medium, as used herein, is not to be construed as being transitory signals per se, such as radio waves or other freely propagating electromagnetic waves, electromagnetic waves propagating through a waveguide or other transmission media (e.g., light pulses passing through a fiber-optic cable), or electrical signals transmitted through a wire.
Computer readable program instructions described herein can be downloaded to respective computing/processing devices from a computer readable storage medium or to an external computer or external storage device via a network, for example, the Internet, a local area network, a wide area network and/or a wireless network. The network may comprise copper transmission cables, optical transmission fibers, wireless transmission, routers, firewalls, switches, gateway computers and/or edge servers. A network adapter card or network interface in each computing/processing device receives computer readable program instructions from the network and forwards the computer readable program instructions for storage in a computer readable storage medium within the respective computing/processing device.
Computer readable program code/instructions for carrying out operations may be assembler instructions, instruction-set-architecture (ISA) instructions, machine instructions, machine dependent instructions, microcode, firmware instructions, state-setting data, configuration data for integrated circuitry, or either source code or object code written in any combination of one or more programming languages, including an object oriented programming language such as Smalltalk, C++, or the like, and procedural programming languages, such as the “C” programming language or similar programming languages. The computer readable program instructions may execute entirely on the user's computer, partly on the user's computer, as a stand-alone software package, partly on the user's computer and partly on a remote computer or entirely on the remote computer or server. In the latter scenario, the remote computer may be connected to the user's computer through any type of network, including a local area network (LAN) or a wide area network (WAN), or the connection may be made to an external computer (for example, through the Internet using an Internet Service Provider). In some embodiments, electronic circuitry including, for example, programmable logic circuitry, field-programmable gate arrays (FPGA), or programmable logic arrays (PLA) may execute the computer readable program instructions by utilizing state information of the computer readable program instructions to personalize the electronic circuitry, in order to perform aspects or operations.
These computer readable program instructions may be provided to a processor of a general purpose computer, special purpose computer, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions/acts specified in the flowchart and/or block diagram block or blocks. These computer readable program instructions may also be stored in a computer readable storage medium that can direct a computer, a programmable data processing apparatus, and/or other devices to function in a particular manner, such that the computer readable storage medium having instructions stored therein comprises an article of manufacture including instructions which implement aspects of the function/act specified in the flowchart and/or block diagram block or blocks.
The computer readable program instructions may also be loaded onto a computer, other programmable data processing apparatus, or other device to cause a series of operational steps to be performed on the computer, other programmable apparatus or other device to produce a computer implemented process, such that the instructions which execute on the computer, other programmable apparatus, or other device implement the functions/acts specified in the flowchart and/or block diagram block or blocks.
The flowchart and block diagrams in the Figures illustrate the architecture, functionality, and operation of possible implementations of systems, methods, and computer readable media according to various embodiments. In this regard, each block in the flowchart or block diagrams may represent a module, segment, or portion of instructions, which comprises one or more executable instructions for implementing the specified logical function(s). The method, computer system, and computer readable medium may include additional blocks, fewer blocks, different blocks, or differently arranged blocks than those depicted in the Figures. In some alternative implementations, the functions noted in the blocks may occur out of the order noted in the Figures. For example, two blocks shown in succession may, in fact, be executed concurrently or substantially concurrently, or the blocks may sometimes be executed in the reverse order, depending upon the functionality involved. It will also be noted that each block of the block diagrams and/or flowchart illustration, and combinations of blocks in the block diagrams and/or flowchart illustration, can be implemented by special purpose hardware-based systems that perform the specified functions or acts or carry out combinations of special purpose hardware and computer instructions.
It will be apparent that systems and/or methods, described herein, may be implemented in different forms of hardware, firmware, or a combination of hardware and software. The actual specialized control hardware or software code used to implement these systems and/or methods is not limiting of the implementations. Thus, the operation and behavior of the systems and/or methods were described herein without reference to specific software code—it being understood that software and hardware may be designed to implement the systems and/or methods based on the description herein.
No element, act, or instruction used herein should be construed as critical or essential unless explicitly described as such. Also, as used herein, the articles “a” and “an” are intended to include one or more items, and may be used interchangeably with “one or more.” Furthermore, as used herein, the term “set” is intended to include one or more items (e.g., related items, unrelated items, a combination of related and unrelated items, etc.), and may be used interchangeably with “one or more.” Where only one item is intended, the term “one” or similar language is used. Also, as used herein, the terms “has,” “have,” “having,” or the like are intended to be open-ended terms. Further, the phrase “based on” is intended to mean “based, at least in part, on” unless explicitly stated otherwise.
The descriptions of the various aspects and embodiments have been presented for purposes of illustration, but are not intended to be exhaustive or limited to the embodiments disclosed. Even though combinations of features are recited in the claims and/or disclosed in the specification, these combinations are not intended to limit the disclosure of possible implementations. In fact, many of these features may be combined in ways not specifically recited in the claims and/or disclosed in the specification. Although each dependent claim listed below may directly depend on only one claim, the disclosure of possible implementations includes each dependent claim in combination with every other claim in the claim set. Many modifications and variations will be apparent to those of ordinary skill in the art without departing from the scope of the described embodiments. The terminology used herein was chosen to best explain the principles of the embodiments, the practical application or technical improvement over technologies found in the marketplace, or to enable others of ordinary skill in the art to understand the embodiments disclosed herein.