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We analyze the sample complexity of the thresholding bandit problem, with and without the assumption that the mean values of the arms are increasing.
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Statistical inference under order restrictions
R. E. Barlow, D. J. Bartholomew, J. M. Bremner, and H. D. Brunk · 1973
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Order restricted statistical inference
T. Robertson, F. T. Wright, and R. L. Dykstra · 1988
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Algorithm as 257: isotonic regression for umbrella orderings
Zhi Geng and Ning-Zhong Shi · 1990
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An algorithm for unimodal isotonic regression, with application to locating a maximum, univ. new brunswichk dept. math
RA Mureika, TR Turner, and PC Wollan · 1992
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Maximum-likelihood estimation under bound restriction and order and uniform bound restrictions
Xiaomi Hu · 1997
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Optimal algorithms for unimodal regression
Quentin F Stout · 2000
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Subgradient methods
Stephen Boyd, Lin Xiao, and Almir Mutapcic · 2003
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Active learning in multi-armed bandits
András Antos, Varun Grover, and Csaba Szepesvári · 2008
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Dose escalation methods in phase i cancer clinical trials
Christophe Le Tourneau, J Jack Lee, and Lillian L Siu · 2009
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Efficacy and safety of secukinumab in patients with rheumatoid arthritis: a phase ii, dose-finding, double-blind, randomised, placebo controlled study
Mark C Genovese, Patrick Durez, Hanno B Richards, Jerzy Supronik, Eva Dokoupilova, Vadim Mazurov, Jacob A Aelion, Sang-Heon Lee, Christine E Codding, Herbert Kellner, Takashi Ikawa, Sophie Hugot, and Shephard Mpofu · 2013
Combinatorial pure exploration of multi-armed bandits
Shouyuan Chen, Tian Lin, Irwin King, Michael R Lyu, and Wei Chen · 2014
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Lipschitz bandits: Regret lower bound and optimal algorithms
Stefan Magureanu, Richard Combes, and Alexandre Proutière · 2014
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Tight (lower) bounds for the fixed budget best arm identification bandit problem
Alexandra Carpentier and Andrea Locatelli · 2016
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Optimal best arm identification with fixed confidence
Aurélien Garivier and Emilie Kaufmann · 2016
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On the complexity of best-arm identification in multi-armed bandit models
Emilie Kaufmann, Olivier Cappé, and Aurélien Garivier · 2016
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An optimal algorithm for the thresholding bandit problem
Andrea Locatelli, Maurilio Gutzeit, and Alexandra Carpentier · 2016
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Cited alongside, same era.
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