We address the problem of learning in an online setting where the learner repeatedly observes features, selects among a set of actions, and receives reward for the action taken. We provide the first efficient algorithm with an optimal regret. Our algorithm uses a cost sensitive classification learner as an oracle and has a running time polylog(N), where N is the number of classification rules among which the oracle might choose. This is exponentially faster than all previous algorithms that achieve optimal regret in this setting. Our formulation also enables us to create an algorithm with regret that is additive rather than multiplicative in feedback delay as in all previous work.
Efficient Optimal Learning for Contextual Bandits
Miroslav Dudík,Daniel J. Hsu,Satyen Kale,Nikos Karampatziakis,J. Langford,L. Reyzin,Tong Zhang
Published 2011 in Conference on Uncertainty in Artificial Intelligence
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- Publication year
2011
- Venue
Conference on Uncertainty in Artificial Intelligence
- Publication date
2011-06-13
- Fields of study
Mathematics, Computer Science
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