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Descent-to-Delete: Gradient-Based Methods for Machine Unlearning (2007.02923v1)

Published 6 Jul 2020 in stat.ML and cs.LG

Abstract: We study the data deletion problem for convex models. By leveraging techniques from convex optimization and reservoir sampling, we give the first data deletion algorithms that are able to handle an arbitrarily long sequence of adversarial updates while promising both per-deletion run-time and steady-state error that do not grow with the length of the update sequence. We also introduce several new conceptual distinctions: for example, we can ask that after a deletion, the entire state maintained by the optimization algorithm is statistically indistinguishable from the state that would have resulted had we retrained, or we can ask for the weaker condition that only the observable output is statistically indistinguishable from the observable output that would have resulted from retraining. We are able to give more efficient deletion algorithms under this weaker deletion criterion.

Citations (219)

Summary

  • The paper presents gradient descent-based unlearning algorithms that guarantee statistical indistinguishability from a full retraining outcome.
  • It introduces two frameworks—whole state and output indistinguishability—to balance privacy requirements with computational efficiency.
  • It demonstrates a tradeoff between computation and accuracy, using distributed optimization to enhance performance on high-dimensional data.

Overview of "Descent-to-Delete: Gradient-Based Methods for Machine Unlearning"

This paper addresses the critical issue of data deletion for convex models, introducing efficient algorithms to handle adversarial update sequences. The authors, Neel, Roth, and Sharifi-Malvajerdi, contribute novel gradient-based methods that provide robust solutions to the machine unlearning problem, which revolves around removing the influence of specific data points from a trained model.

Key Contributions

  1. Statistical Indistinguishability Frameworks: The paper distinguishes between two main frameworks for achieving data deletion:
    • Whole State Indistinguishability: The model's entire state post-deletion should be indistinguishable from a full retraining outcome.
    • Output Indistinguishability: Only the observable output needs to be indistinguishable from full retraining.

The latter allows for more efficient deletion algorithms.

  1. Gradient Descent Approaches: The authors develop two primary unlearning algorithms based on gradient descent:
    • Perturbed Gradient Descent (PGD) for strongly convex loss functions ensures strong, efficient unlearning. It utilizes gradient descent followed by noise injection to maintain model parameter privacy.
    • Regularized PGD introduces strong convexity to initially non-convex functions through regularization, permitting the use of the same gradient-based deletion techniques.
  2. Computation vs. Accuracy Tradeoffs: A notable aspect of the algorithms is their adaptability in trading off between computational cost and accuracy. The number of gradient descent iterations can be adjusted, influencing both the deletion’s computational overhead and the final model’s accuracy.
  3. Distributed Optimization Methodology: To further optimize the process, especially for high-dimensional data, the authors apply a distributed gradient descent algorithm. By partitioning data and averaging results from independently optimized blocks, this method achieves improved computational efficiency in model retraining. The analysis builds upon concepts from distributed machine learning, achieving favorable runtime-accuracy balances.

Implications and Future Directions

The research presents a strong foundation for practical machine unlearning, highlighting significant reductions in computational requirements without sacrificing accuracy. The introduction of different indistinguishability criteria allows for varying levels of privacy guarantees, broadening the applicability of these methods in real-world scenarios, particularly in compliance with data privacy regulations like GDPR.

The potential for future research encompasses several areas:

  • Algorithmic Refinement: Improving the efficiency of gradient computations in real-time update environments could push these methods closer to wider industry deployment.
  • Broader Model Applicability: Extending the techniques to non-convex models, such as those used in deep learning, could significantly enhance the versatility of these unlearning methods.
  • Privacy-Utility Balance: Further exploration into the tradeoffs between model utility and privacy guarantees could lead to more nuanced deletion models, catering to specific industry needs.

This work is a significant stride in the growing field of machine unlearning, bringing us closer to the goal of effective and efficient data deletion in complex machine learning systems. The outcomes signify a promising direction for both theoretical research and practical applications in privacy-centric AI technologies.

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