This application is based upon and claims priority to Chinese Patent Application No. 202110054339.X, filed on Jan. 15, 2021, the entire contents of which are incorporated herein by reference.
The present invention pertains to the technical field of data privacy-preserving, and more particularly, to a distributed support vector machine privacy-preserving method, system, storage medium and application.
Today's information age is now witnessing the explosive growth of data. As the scale of computer systems becomes larger and larger, distributed processing methods are increasingly accepted by the related industry. Moreover, machine learning algorithms have been applied to various fields. In this case, since the distributed processing method can handle a larger amount of samples, it can better exploit the advantages of machine learning algorithms so that the algorithms can be applied on a large scale. The support vector machine is one of the most widely used machine learning algorithms. Prior studies generally use alternating direction method of multipliers (ADMM) algorithms to solve machine learning optimization problems such as optimization problems of support vector machines. Meanwhile, data used for training are owned by multiple entities, but the sharing and training of the data are hindered due to the sensitivity of the data. Most distributed algorithms require each node to explicitly exchange and disclose state information to its neighboring node in each iteration. This means that many practical distributed applications face serious privacy issues. In this regard, it is unacceptable to merely save the original data locally for privacy-preserving, and it is also necessary to preserve the privacy of the interactive parameters in the process of implementing the distributed ADMM algorithm. Herein, an ADMM algorithm-based privacy-preserving technique will be presented based on a support vector machine scenario.
However, existing research on privacy-preserving of support vector machine scenarios still faces challenges to be urgently solved in terms of privacy and accuracy. Two methods are commonly used to realize privacy-preserving in distributed optimization algorithms. The first method is a perturbation method, which mainly uses the technique of differential privacy. This method is highly efficient, but introduces noise and thus will cause the loss of data availability and impair the accuracy of the optimization results. Although the related studies have made a balance between privacy and accuracy, the speed of convergence to the optimal classifier will always slow down. The second method is a cryptographic method, including secure multi-party technology and homomorphic encryption. The homomorphic encryption method has excessively high computational overhead and is thus difficult to apply to practical applications. Additionally, in the current research, most of the support vector machine privacy-preserving scenarios involve only distributed deployment of data and single-machine processing without considering the privacy leakage problem of information interaction during the collaborative training of the fully distributed support vector machine algorithm with multiple machines and multiple data sources. Some research work has focused on the privacy leakage problem, but has not fully resolved the horizontal and vertical distribution of data.
As analyzed above, the prior art has the following problems and shortcomings. The existing distributed support vector machines have mutually reciprocal shortcomings between computational overhead and security. That is, a high-security method has the problem of high computational overhead, whereas a high-efficiency method has security issues. In addition, such methods must give consideration to both the machine learning scenario and the accuracy of the training results.
The difficulty of solving the above-mentioned problems and shortcomings is: to solve the privacy problem of the interactive computation of the intermediate states in the machine learning training process. Although homomorphic encryption can perform multi-party secure computation, it incurs high computational complexity.
To solve the above-mentioned problems and shortcomings, it is highly desirable to provide a high-efficiency method capable of simultaneously ensuring the security of multi-party computation when processing data for machine learning training to achieve the same effectiveness as homomorphic encryption without substantial overhead, thereby preserving data privacy based on the premise of an ensured accuracy of the training results.
In view of the problems in the prior art, the present invention provides a distributed support vector machine privacy-preserving method, system, storage medium and application.
The present invention is achieved by adopting the following technical solutions. A distributed support vector machine privacy-preserving method includes: dividing a secret through a secret sharing among all participating entities, iteratively exchanging a part of information divided by the participating entities, and solving sub-problems locally; performing an iteration until a convergence is reached to find a global optimal solution; and in consideration of the generality of the privacy-preserving method, adopting a privacy-preserving method based on a vertical data distribution and a privacy-preserving method based on a horizontal data distribution, respectively; wherein the participating entities do not trust each other, and interact through a multi-party computation for local training.
Further, the distributed support vector machine privacy-preserving method specifically includes:
step 1: establishing a network communication environment with a plurality of data sources;
step 2: choosing a support vector machine scenario with a vertical distribution or a horizontal distribution according to a data distribution of the data sources;
step 3: allowing all participating entities to solve the sub-problems locally;
step 4: allowing all participating entities to use a Boolean sharing to split a penalty parameter and exchange a part of the penalty parameter with a neighboring node to update the parameter;
step 5: allowing all participating entities to use an arithmetic sharing to split an updated iterative variable and exchange a part of the updated iterative variable with the neighboring node to compute a Lagrange parameter in a shared form;
step 6, allowing all participating entities to reconstruct the secret;
step 7, returning to step 3 if the iteration does not reach the convergence; and
step 8, outputting a training result.
Further, an objective function of the horizontal distribution and an objective function of the vertical distribution in step 2 are respectively:
and
wherein vi=[ωiT,bi]T, V=[v1T, . . . vNT]T, Bi=[Xi,1iT], 1i∈R1*M, Xi is an ith participant and a jth participant, Xi=[[xi1T, . . . xiMT]T], Yi=diag(yi1, . . . , yiM), yij is a jth data entry and a corresponding label, ξi=[ξi1, . . . , ξiM], N is a number of participants, and M is a number of training set samples for each participant of the participants; and
wherein vi=[ωiT,bi]T, Bi=[Xi,1M], 1M∈RM*1, Yi=diag(y1, . . . ,YM), yj is the jth data entry and the corresponding label.
Further, iterative processes of solving the sub-problems locally in step 3 are respectively:
horizontal data distribution:
and
vertical data distribution
Further, a method of using the Boolean sharing to split the penalty parameter in step 4 specifically includes: considering ρk→ρk+1 is a progressive increase and an upper bound is ri, obtaining an appropriate value through a comparison to update ρ, and dividing ρi, i+1k into ρi, i+1k=qi, i+1k+qi+1, ik to securely compute ρi, i+1k; wherein an ith participant provides qi, i+1k and qi, i+1k+1, and an (i+1)th participant provides qi+1, ik and qi+1, ik+1; comparing qi, i+1k+qi+1, ik with qi, i+1k+1+qi+1, ik+1 without exposing qi, i+1k, qi+1, ik, and qi+1, ik+1, converting each term into a Boolean type, and performing a secure addition and comparison by using a Yao's garbled circuit.
Further, a method of using the arithmetic sharing to split the penalty parameter in step 5 specifically includes: in a (k+1)th iteration, securely computing
by using Shamir's secret sharing, and arithmetically dividing each term, wherein an ith participant provides qi, i+1k+11A, qi, i+1k+12A, −vik+11A, −vik+12A, −qi, i+1k+1vik+11A, and −qi, i+1k+1vik+12A, an (i+1)th participant provides qi+1, ik+11A, qi+1k+12A, vi+1k+11A, vi+1k+12A, qi+1, ik+1vi+1k+11A, and qi+1, ik+1vik+12A, the ith participant sends qi, i+1k+12A, −vik+12A and −qi, i+1k+1vik+12A to the (i+1)th participant, the (i+1)th participant sends qi+1, ik+11A, vi+1k+11A and qi+1, ik+1vi+1k+11A to the ith participant, and the ith participant locally computes −qi+1, ik+1vik+11A and qi, i+1k+1vi+1k+11A to finally determine the value of (qi, i+1k+1+qi+1, ik+1)(vi+1k+1+vik+1) in the shared form as (qi, i+1k+1+qi+1, ik+1)(vi+1k+1−vik+1)1A=qi, i+1k+1vi+1k+11A+qi+1, ik+1vi+1k+11A+−qi+1, ik+1vik+11A+−qi, i+1k+1vik+11A; and similarly, the (i+1)th participant computes (qi, i+1k+1+qi+1, ik+1)(vi+1k+1−vik+1)2A=qi, i+1k+1vi+1k+12A+qi+1k+1vi+1k+12A+−qi+1, ik+1vi+1k+12A+−qi+1k+1vik+12A+−qi, i+1k+1vik+12A.
Further, a method of reconstructing the secret in step 6 specifically includes: allowing both parties to reconstruct the secret (qi, i+1k+qi+1, ik)(vi+1k−vik) as (qi, i+1k+qi+1, ik)(vi+1k−vik)=((qi, i+1k+qi+1, ik)(vi+1k−vik)1A+(qi, i+1k+qi+1, ik)(vi+1k−vik)2A, and compute λi, i+1k+1=λi, i+1k+ρi, i+1k+2(vik+1−vi+1k+1) to update λ.
Another objective of the present invention is to provide a computer-readable storage medium, wherein a computer program is stored in the computer-readable storage medium. When the computer program is executed by a processor, the processor executes the following steps: dividing a secret through a secret sharing among all participating entities, iteratively exchanging a part of information divided by the participating entities, and solving sub-problems locally; performing an iteration until a convergence is reached to find a global optimal solution; in consideration of the generality of a privacy-preserving method, adopting a privacy-preserving method based on a vertical data distribution and a privacy-preserving method based on a horizontal data distribution, respectively. The participating entities do not trust each other, and interact through a multi-party computation for local training.
Another objective of the present invention is to provide a distributed support vector machine privacy-preserving system for implementing the distributed support vector machine privacy-preserving method. The distributed support vector machine privacy-preserving system includes:
an information preprocessing module, configured for dividing a secret through secret sharing among all participating entities, iteratively exchanging a part of information divided by the participating entities, and solving sub-problems locally;
an information iterative processing module, configured for performing an iteration until a convergence is reached to find a global optimal solution; and
a privacy-preserving module, configured for adopting a privacy-preserving method based on a vertical data distribution and a privacy-preserving method based on a horizontal data distribution, respectively. The participating entities do not trust each other, and interact through a multi-party computation for local training.
Another objective of the present invention is to provide a distributed support vector machine for implementing the distributed support vector machine privacy-preserving method.
By means of the above technical solutions, the present invention has the following advantages. According to the present invention, the support vector machine for privacy-preserving is trained by combining an ADMM algorithm and the secret sharing. During a training process among the entities, the entities exchange part of the information divided by themselves for collaborative training. The present invention is based on an honest-but-curious model, in which all participating entities do not trust each other, and complete the training under the premise that individual information will not be leaked. Compared with the data processing method based on homomorphic encryption, the present invention has the features of simple computation and low computational overhead. Compared with the differential privacy method, the present invention provides cryptographically strong and secure privacy-preserving without affecting the accuracy of the training result.
In the present invention, the distributed support vector machine privacy-preserving method is based on a secure multi-party computation and an ADMM algorithm and, in an honest-but-curious scenario, uses the idea of data division to perform local computation through the interaction of part of the data among users, thereby finally reconstructing the secret to preserve data privacy. Since the whole data value of a single user is related to privacy information, after the data is divided, each collaborative user is allocated a part of the data for local computation. In this way, the partners entirely cannot get the relevant privacy information of other users, and all information with explicit semantics which the partner may obtain is only its own value and the final computed result.
In order to explain the technical solutions of the embodiments of the present invention more clearly, the drawings used in the embodiments of the present invention will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. Those of ordinary skill in the art can obtain other drawings based on these drawings without creative efforts.
In order to make the objectives, technical solutions, and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, rather than to limit the present invention.
In view of the problems in the prior art, the present invention provides a distributed support vector machine privacy-preserving method, system, storage medium and application. The present invention will be described in detail below with reference to the drawings. Herein, local support vector machine sub-problems are solved by using a gradient descent method. Since the gradient descent method has a slow convergence rate and may converge to a local optimal solution, it may be replaced with improved methods such as damped Newton's method and variable metric method to solve the local sub-problems. In consideration of the real scenario, different entities can use different methods to solve the local sub-problems.
As shown in
S101: a network communication environment with a plurality of data sources is established;
S102: a support vector machine scenario with a vertical distribution or a horizontal distribution is chosen according to a data distribution of the data sources;
S103: all participating entities solve the sub-problems locally by using a gradient descent method;
S104: all participating entities use Boolean sharing to split a penalty parameter and exchange a part of the penalty parameter with a neighboring node to update the parameter;
S105: all participating entities use arithmetic sharing to split the updated iterative variable and exchange a part of the updated iterative variable with the neighboring node to compute a Lagrange parameter in a shared form;
S106, all participating entities reconstruct the secret;
S107, returning to S103 if the iteration does not converge; and
S108, a training result is output.
Those of ordinary skill in the art can also implement the distributed support vector machine privacy-preserving method by using other steps.
As shown in
the information preprocessing module 1, configured for dividing a secret through secret sharing among all participating entities, iteratively exchanging a part of the information divided by the participating entities, and solving sub-problems locally;
the information iterative processing module 2, configured for performing an iteration until a convergence is reached to find a global optimal solution; and
the privacy-preserving module 3, configured for adopting a privacy-preserving method based on a vertical data distribution and a privacy-preserving method based on a horizontal data distribution, respectively; wherein the participating entities do not trust each other, and interact through a multi-party computation for local training.
The technical solutions of the present invention will be further described below with reference to the drawings.
According to the present invention, the distributed support vector machine privacy-preserving method includes: dividing a secret through secret sharing among all participating entities, iteratively exchanging a part of the information divided by the participating entities, and solving sub-problems locally; performing an iteration until a convergence is reached to find a global optimal solution; and in consideration of the generality of the privacy-preserving method, adopting a privacy-preserving method based on a vertical data distribution and a privacy-preserving method based on a horizontal data distribution, respectively; wherein the participating entities do not trust each other, and interact through a multi-party computation for local training.
As shown in
As shown in
Step 1: a network communication environment is established, and a network topology situation where multiple users are adjacent to each other is considered when the number of different users is set.
Step 2: the iterative processes of solving the objective function for training the support vector machine are determined according to the data distribution of the data sources.
Step 3: in the (k+1)th iteration, the user first updates vik+1 according to the penalty function ρ and the Lagrange coefficient λ updated in the kth iteration.
Step 4: in the (k+1)th iteration, the user updates the penalty coefficient ρ by taking the progressive increase as a constraint condition. ρi, i+1k is divided into ρi, i+1k=qi, i+1k+qi+1, ik to securely compute ρi, i+1k The ith participant provides qi, i+1k and qi, i+1k+1, and the (i+1)th participant provides qi+1, ik and qi+1, ik+1 qi, i+1k+qi+1, ik is compared with qi, i+1k+1+qi+1, ik+1 without exposing qi, i+1k, qi+1, ik, qi, i+1k+1, and qi+1, ik+1. Each term is converted into a Boolean type, and is securely added and compared by using a Yao's garbled circuit. One party encrypts the truth table, one party performs circuit computation, and finally the secret is reconstructed. In this way, an appropriate penalty coefficient ρ is determined.
Step 5: in the (k+1)th iteration, the user solves the Lagrange coefficient λi, i+1k+1 by using the updated vik+1 and ρi, i+1k, and securely computes ρi, i+1k+1 (vi+1k+1−v1k+1) as (qi, i+1k+1+qi+1, ik+1)(vi+1k+1−vik+1) by using Shamir's secret sharing. Each term is arithmetically divided. The ith participant provides qi, i+1k+11A, i, i+1k+12A, −vik+11A, −vik+1 2A, −qi, i+1k+1vik+11A, and −qi, i+1k+1vik+12A, and the (i+1)th participant provides qi+1, ik+11A, qi+1, ik+12A, vi+1k+11A, vi+1k+12A, qi+1, ik+1vi+1k+11A, and qi+i, ik+1vik+12A. The ith participant sends qi, i+1k+12A, −vik+12A and −qi, i+1k+1vik+12A to the (i+1)th participant. The (i+1)th participant sends qi+1, ik+11A, vi+1k+11A and qi+1, ik+1vi+1k+11A to the ith participant. The ith participant locally computes −qi+1, ik+1vik+11A and qi, i+1k+1vi+1k+11A to finally determine the value of (qi, i+1k+1+qi+1k+1)(vi+1k+1−vik+1) in the shared form as (qi, i+1k+1+qi+1, ik+1)(vi+1k+1)1A=qi, i+1k+1vi+1k+11A+qi+1, ik+1vi+1k+11A+−qi+1, ik+1vik+11A+−qi, i+1k+1vik+11A. Similarly, the (i+1)th participant computes (qi, i+1k+1+qi+1, ik+1)(vi+1k+1−vik+1)2A=qi, i+1k+1vi+1k+12A+qi+1, 1k+1vi+1k+12A+−qi+1, ik+1,vik+12A+−qi, i+1k+1vik+12A.
Step 6: the interacting participating parties reconstruct the secret (qi, i+1k+qi+1, ik) (vi+1k−vik) as (qi, i+1k+qi+1, ik) (vi+1k−vik)=(qi, i+1k+qi+1, ik)(vi+1k−vik)1A+(qi, i+1k+qi+1, ik)(vi+1k−vik)2A, and compute λi, i+1k+1=λi, i+1k+ρi, i+1k+1(vik+1−vi+1k+1) to update λi, i+1k+1.
Step 7: according to a set threshold E, when a value of the objective function at a current iteration minus a value of the objective function at a previous iteration is less than the threshold, it is determined that the convergence is reached. Otherwise, returning to step 3 to continue the iteration.
Step 8: a training result is output.
The effectiveness of the present invention will be further described below in conjunction with experiments.
The experiment is simulated under Ubuntu-18.04.1, and the function of secure multi-party computation is implemented by using an ABY framework. The privacy-preserving scheme is implemented by c++.
In the present invention, Ubuntu is selected for simulation. The MNIST data set and the breast cancer data set are selected for a test. 2, 3, 4, 5, and 6 nodes are selected to perform a horizontal distribution experiment and a vertical distribution experiment, respectively. In the simulation experiment, the classification accuracy of the support vector machine is 98%.
In the experiment, the established network communication model faces the threat of data privacy leakage. Different users collaborate to train the support vector machine, and the intermediate state of the interaction during the training process will leak privacy information such as gradient and objective function. The development of distributed scenarios brings an increasing amount of data. In order to break data silos and carry out certain collaborative training scenarios, a feasible privacy-preserving method is indispensable. The prior distributed support vector machines have mutually reciprocal shortcomings between computational overhead and security. That is, a high-security method has the problem of high computational overhead, whereas a high-efficiency method has security issues. In addition, such methods must give consideration to both the machine learning scenario and the accuracy of the training results. In the present invention, the support vector machine for privacy-preserving is trained by combining the ADMM algorithm and the secret sharing. During the training process among the entities, the entities exchange part of the information divided by themselves for collaborative training. The present invention is based on an honest-but-curious model, in which all participating entities do not trust each other, and complete the training under the premise that individual information will not be leaked.
It should be noted that the embodiments of the present invention can be implemented by hardware, software, or a combination of software and hardware. The hardware part can be implemented by dedicated logic. The software part can be stored in a memory, and the system can be executed by appropriate instructions, for example, the system can be executed by a microprocessor or dedicated hardware. Those of ordinary skill in the art can understand that the above-mentioned devices and methods can be implemented by using computer-executable instructions and/or control codes included in a processor. Such codes are provided, for example, on a carrier medium such as a magnetic disk, compact disc (CD) or digital video disk read-only memory (DVD-ROM), a programmable memory such as a read-only memory (firmware), or a data carrier such as an optical or electronic signal carrier. The device and its modules of the present invention can be implemented by very large-scale integrated circuits or gate arrays, semiconductors such as logic chips and transistors, or programmable hardware devices such as field programmable gate arrays and programmable logic devices, and other hardware circuits. Optionally, the device and its modules of the present invention can be implemented by software executed by various types of processors, or can be implemented by a combination of the hardware circuit and the software as mentioned above, such as firmware.
The above only describes the specific embodiments of the present invention, but the scope of protection of the present invention is not limited thereto. Any modifications, equivalent replacements, improvements and others made by any person skilled in the art within the technical scope disclosed in the present invention and the spirit and principle of the present invention shall fall within the scope of protection of the present invention.
Number | Date | Country | Kind |
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202110054339.X | Jan 2021 | CN | national |