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Adaptive Online Prediction by Following the Perturbed Leader

Published: 01 December 2005 Publication History

Abstract

When applying aggregating strategies to Prediction with Expert Advice (PEA), the learning rate must be adaptively tuned. The natural choice of sqrt(complexity/current loss) renders the analysis of Weighted Majority (WM) derivatives quite complicated. In particular, for arbitrary weights there have been no results proven so far. The analysis of the alternative Follow the Perturbed Leader (FPL) algorithm from Kalai and Vempala (2003) based on Hannan's algorithm is easier. We derive loss bounds for adaptive learning rate and both finite expert classes with uniform weights and countable expert classes with arbitrary weights. For the former setup, our loss bounds match the best known results so far, while for the latter our results are new.

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  1. Adaptive Online Prediction by Following the Perturbed Leader

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    cover image The Journal of Machine Learning Research
    The Journal of Machine Learning Research  Volume 6, Issue
    12/1/2005
    2169 pages
    ISSN:1532-4435
    EISSN:1533-7928
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    JMLR.org

    Publication History

    Published: 01 December 2005
    Published in JMLR Volume 6

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    • (2022)Adaptive oracle-efficient online learningProceedings of the 36th International Conference on Neural Information Processing Systems10.5555/3600270.3601970(23398-23411)Online publication date: 28-Nov-2022
    • (2022)Adversarial bandit approach for RIS-aided OFDM communicationEURASIP Journal on Wireless Communications and Networking10.1186/s13638-022-02184-62022:1Online publication date: 17-Nov-2022
    • (2022)Optimistic No-regret Algorithms for Discrete CachingProceedings of the ACM on Measurement and Analysis of Computing Systems10.1145/35706086:3(1-28)Online publication date: 8-Dec-2022
    • (2021)Conservative Online Convex OptimizationMachine Learning and Knowledge Discovery in Databases. Research Track10.1007/978-3-030-86486-6_2(19-34)Online publication date: 13-Sep-2021
    • (2020)Oracle-efficient Online Learning and Auction DesignJournal of the ACM10.1145/340220367:5(1-57)Online publication date: 29-Sep-2020
    • (2018)Learning safe policies with expert guidanceProceedings of the 32nd International Conference on Neural Information Processing Systems10.5555/3327546.3327585(9123-9132)Online publication date: 3-Dec-2018
    • (2018)Online Learning for Non-Stationary A/B TestsProceedings of the 27th ACM International Conference on Information and Knowledge Management10.1145/3269206.3271718(317-326)Online publication date: 17-Oct-2018
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    • (2013)The Pareto regret frontierProceedings of the 27th International Conference on Neural Information Processing Systems - Volume 110.5555/2999611.2999708(863-871)Online publication date: 5-Dec-2013
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