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COLT
2008
Springer
13 years 6 months ago
High-Probability Regret Bounds for Bandit Online Linear Optimization
We present a modification of the algorithm of Dani et al. [8] for the online linear optimization problem in the bandit setting, which with high probability has regret at most O ( ...
Peter L. Bartlett, Varsha Dani, Thomas P. Hayes, S...
NIPS
2007
13 years 6 months ago
The Price of Bandit Information for Online Optimization
In the online linear optimization problem, a learner must choose, in each round, a decision from a set D ⊂ Rn in order to minimize an (unknown and changing) linear cost function...
Varsha Dani, Thomas P. Hayes, Sham Kakade
JMLR
2010
103views more  JMLR 2010»
12 years 11 months ago
Regret Bounds and Minimax Policies under Partial Monitoring
This work deals with four classical prediction settings, namely full information, bandit, label efficient and bandit label efficient as well as four different notions of regret: p...
Jean-Yves Audibert, Sébastien Bubeck
CORR
2011
Springer
202views Education» more  CORR 2011»
12 years 12 months ago
Online Least Squares Estimation with Self-Normalized Processes: An Application to Bandit Problems
The analysis of online least squares estimation is at the heart of many stochastic sequential decision-making problems. We employ tools from the self-normalized processes to provi...
Yasin Abbasi-Yadkori, Dávid Pál, Csa...
COLT
2008
Springer
13 years 6 months ago
Competing in the Dark: An Efficient Algorithm for Bandit Linear Optimization
We introduce an efficient algorithm for the problem of online linear optimization in the bandit setting which achieves the optimal O ( T) regret. The setting is a natural general...
Jacob Abernethy, Elad Hazan, Alexander Rakhlin