Oracle-Efficient Online Learning or: How to Use Non-Robust Optimization for Robust Learning
summary
Claim: efficient no-regret online learning is possible by reusing a standard ERM oracle rather than redesigning algorithms from scratch, provided the adversary is sigma-smoothed. Construction uses hallucinated future samples, coupling the adaptive adversary to a uniform world (rejection sampling), nets and Rademacher-type bounds; regret scales with VC/Littlestone-style dimension and roughly with 1/sigma (equivalently needing about T/sigma samples), and the algorithm only calls oracle once per round.
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chapters (12)
- 0:00Introduction to the topic
- 1:47Batch vs sequential models
- 4:43Adversarial manipulations
- 6:43Online learning paradigms
- 9:30Oracle-efficient learning
- 13:16Philosophical motivations
- 15:20Oracle interaction mechanics
- 18:30Approaches to oracle use
- 24:19Worst-case vs beyond
- 28:17Smooth analysis and gaps
- 32:40The role of hallucination
- 38:11Conclusion and robustness
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