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Graphical Models for Bandit Problems

Machine Learning 2012-02-20 v1 Artificial Intelligence Machine Learning

Abstract

We introduce a rich class of graphical models for multi-armed bandit problems that permit both the state or context space and the action space to be very large, yet succinctly specify the payoffs for any context-action pair. Our main result is an algorithm for such models whose regret is bounded by the number of parameters and whose running time depends only on the treewidth of the graph substructure induced by the action space.

Keywords

Cite

@article{arxiv.1202.3782,
  title  = {Graphical Models for Bandit Problems},
  author = {Kareem Amin and Michael Kearns and Umar Syed},
  journal= {arXiv preprint arXiv:1202.3782},
  year   = {2012}
}
R2 v1 2026-06-21T20:20:50.516Z