Randomized trial develops a gradient descent method that adjusts privacy budget over iterations, suggesting improved privacy in algorithm deployment.
Iterative algorithms, like gradient descent, are common tools for solving a variety of problems, such as model fitting. For this reason, there is interest in creating differentially private versions of them. However, their conversion to differentially private algorithms is often naive. For instance, a fixed number of iterations are chosen, the privacy budget is split evenly among them, and at each iteration, parameters are updated with a noisy gradient.
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Lee et al. (2018) studied this question.
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