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Arxiv

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Image Credit: Arxiv

Tracking the Best Expert Privately

  • Researchers have designed differentially private algorithms for prediction with expert advice under dynamic regret.
  • The algorithms address three types of adversaries: stochastic with shifting distributions, oblivious, and adaptive.
  • For the shifting stochastic adversary, the algorithm achieves expected dynamic regret of at most O(sqrt(STlog(NT)) + (Slog(NT)/ε)), where S is the number of distribution shifts, T is the horizon, and N is the number of experts.
  • The research shows a fundamental separation between oblivious and adaptive adversaries, with sub-linear regret achievable for oblivious adversaries in the high-privacy regime, but linear dynamic regret inevitable under adaptive adversaries.

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