Adapting to Non-stationarity with Growing Expert Ensembles

C. Shalizi,Abigail Z. Jacobs,A. Clauset

Published 2011 in arXiv.org

ABSTRACT

When dealing with time series with complex non-stationarities, low retrospective regret on individual realizations is a more appropriate goal than low prospective risk in expectation. Online learning algorithms provide powerful guarantees of this form, and have often been proposed for use with non-stationary processes because of their ability to switch between different forecasters or ``experts''. However, existing methods assume that the set of experts whose forecasts are to be combined are all given at the start, which is not plausible when dealing with a genuinely historical or evolutionary system. We show how to modify the ``fixed shares'' algorithm for tracking the best expert to cope with a steadily growing set of experts, obtained by fitting new models to new data as it becomes available, and obtain regret bounds for the growing ensemble.

PUBLICATION RECORD

  • Publication year

    2011

  • Venue

    arXiv.org

  • Publication date

    2011-03-04

  • Fields of study

    Mathematics, Physics, Computer Science

  • Identifiers
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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