This paper introduces a new theoretical framework for online prediction in scenarios with infinite memory, specifically for binary mark prediction driven by exogenous sources. The research establishes sharp minimax regret bounds for summable envelopes, providing precise scales for exponential and polynomial envelopes. A key finding is that retaining only recent inputs can lead to polynomially different regret, and an online Newton predictor is proposed to achieve the upper bound. AI
IMPACT Provides theoretical underpinnings for online prediction algorithms, potentially impacting future AI model development.
RANK_REASON This is a theoretical computer science paper published on arXiv. [lever_c_demoted from research: ic=1 ai=0.7]
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