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In the recent years, a number of parameter-free algorithms have been developed for online linear optimization over Hilbert spaces and for learning with expert advice.
A new interpretation of information rate
J. L. Kelly · 1956
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E. T. Whittaker and G. N. Watson · 1962
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The Gamma Function
E. Artin · 1964
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The performance of universal encoding
R. E. Krichevsky and V. K. Trofimov · 1981
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The weighted majority algorithm
N. Littlestone and M. K. Warmuth · 1994
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The context tree weighting method: Basic properties
F. M. J. Willems, Y. M. Shtarkov, and T. J. Tjalkens · 1995
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How to use expert advice
N. Cesa-Bianchi, Y. Freund, D. Haussler, D. P. Helmbold, R. E. Schapire, and M. K. Warmuth · 1997
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A decision-theoretic generalization of on-line learning and an application to boosting
Y. Freund and R. E. Schapire · 1997
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A game of prediction with expert advice
V. Vovk · 1998
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Inequalities for the polygamma functions with application
C.-P. Chen · 2005
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Prediction, learning, and games
N. Cesa-Bianchi and G. Lugosi · 2006
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Elements of Information Theory
T. M. Cover and J. A. Thomas · 2006
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Inequalities for the gamma function
N. Batir · 2008
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Inequalities on the Lambert W function and hyperpower function
A. Hoorfar and M. Hassani · 2008
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A parameter-free hedging algorithm
K. Chaudhuri, Y. Freund, and D. Hsu · 2009
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Prediction with advice of unknown number of experts
A. Chernov and V. Vovk · 2010
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Convex Analysis and Monotone Operator Theory in Hilbert Spaces
Minimax optimal algorithms for unconstrained linear optimization
H. B. McMahan and J. Abernethy · 2013
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Dimension-free exponentiated gradient
F. Orabona · 2013
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A drifting-games analysis for online learning and applications to boosting
H. Luo and R. E. Schapire · 2014
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Unconstrained online linear learning in Hilbert spaces: Minimax algorithms and normal approximations
H. B. McMahan and F. Orabona · 2014
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Simultaneous model selection and optimization through parameter-free stochastic learning
F. Orabona · 2014
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Adaptive online learning
D. J. Foster, A. Rakhlin, and K. Sridharan · 2015
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H. H. Bauschke and P. L. Combettes · 2011
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Online learning and online convex optimization
S. Shalev-Shwartz · 2011
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No-regret algorithms for unconstrained online convex optimization
M. Streeter and B. McMahan · 2012
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A PAC-Bayesian tutorial with a dropout bound, 2013
D. McAllester · 2013
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Second-order quantile methods for experts and combinatorial games
W. M. Koolen and T. van Erven · 2015
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Achieving all with no parameters: AdaNormalHedge
H. Luo and R. E. Schapire · 2015
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personal communication, 2016
D. J. Foster · 2016
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