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Differential Privacy Regularization: Protecting Training Data Through Loss Function Regularization (2409.17144v1)

Published 25 Sep 2024 in cs.LG, cs.AI, cs.CR, and cs.NE

Abstract: Training machine learning models based on neural networks requires large datasets, which may contain sensitive information. The models, however, should not expose private information from these datasets. Differentially private SGD [DP-SGD] requires the modification of the standard stochastic gradient descent [SGD] algorithm for training new models. In this short paper, a novel regularization strategy is proposed to achieve the same goal in a more efficient manner.

Summary

  • The paper proposes Differential Privacy Regularization (PDP-SGD), a novel method providing differential privacy via loss function regularization, avoiding noisy gradient approaches.
  • This loss function regularization method provides differential privacy efficiently by avoiding direct noise, thus overcoming the performance penalties of noisy gradient methods.
  • This method enhances privacy for applications like LLMs and reduces vulnerability to attacks, establishing a promising link between differential privacy and traditional regularization.

Differential Privacy Regularization: Protecting Training Data Through Loss Function Regularization

The paper entitled "Differential Privacy Regularization: Protecting Training Data Through Loss Function Regularization" addresses a fundamental concern in the field of machine learning: maintaining the privacy of sensitive information within training datasets. The authors propose a novel approach that seeks to enhance the differential privacy of neural networks employed in various deep learning tasks, without the typical trade-offs associated with traditional methods like DP-SGD (Differentially Private Stochastic Gradient Descent).

Overview

Differential privacy (DP) has become a widely accepted standard for safeguarding personal data in machine learning models, particularly those reliant on extensive datasets, such as LLMs. The conventional approach, DP-SGD, modifies the standard stochastic gradient descent by adding random noise to the gradients during the training process. While effective in providing privacy guarantees, DP-SGD often results in a degradation of model accuracy and presents a computational overhead due to the noise addition.

The authors introduce an innovative method that incorporates differential privacy through loss function regularization. This approach focuses on altering the loss function used during the training of neural networks, effectively sidestepping the immediate need for noisy gradient computation. By doing so, the proposed solution, termed PDP-SGD (Proportional Differentially Private SGD), offers a computationally efficient method to achieve differential privacy without directly introducing noise into gradient updates.

Technical Contributions

The paper elaborates on the mathematical underpinnings of its proposed solution. The core idea is the addition of a regularization term to the loss function, which inherently considers both the network's parameters and the input data. This regularization term is proportional to the parameters, thus introducing a protective mechanism against gradient leakage attacks in a manner analogous to Gaussian noise, yet it avoids the explicit noise addition at runtime.

The transition from DP-SGD to PDP-SGD involves a significant metamorphosis: from direct noise application to a loss-based regularization technique. This shift results in an optimization problem where the loss function comprises the original error term augmented by the proposed differential privacy regularization term. The mathematical insight reveals that this method effectively imposes a Tikhonov regularization scenario on the inputs, a sophisticated form of L2 regularization known for its stability and generalization improvements in machine learning models.

Implications and Future Work

The proposed PDP-SGD model promises several advantages. It retains the privacy guarantees intrinsic to differential privacy approaches while minimizing the computational burdens and accuracy reduction typical of traditional DP methods. Moreover, with privacy concerns escalating alongside the proliferation of LLMs in various domains, the capability to offer privacy without significant performance penalties is of paramount importance.

Practically, PDP-SGD could enhance privacy-preserving model training in various applications, reducing susceptibility to data reconstruction attacks such as membership inference attacks. Theoretically, this approach opens avenues to re-evaluate differential privacy in deep learning through the lens of regularization techniques traditionally reserved for overfitting mitigation.

For future research directions, examining the empirical performance of PDP-SGD across different architectures and datasets would be a natural progression to validate its theoretical benefits. Further, exploring the interplay between traditional regularization methods and the proposed privacy-preserving regularization could yield insights into optimizing privacy with minimal performance loss.

In summary, this paper advances a compelling argument for integrating differential privacy through an innovative lens, positioning PDP-SGD as a promising methodology in the ongoing effort to secure sensitive information within machine learning frameworks.

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