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» Convex Games in Banach Spaces
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COLT
2010
Springer
13 years 2 months ago
Convex Games in Banach Spaces
We study the regret of an online learner playing a multi-round game in a Banach space B against an adversary that plays a convex function at each round. We characterize the minima...
Karthik Sridharan, Ambuj Tewari
JAT
2010
80views more  JAT 2010»
13 years 2 months ago
The Bregman distance, approximate compactness and convexity of Chebyshev sets in Banach spaces
We present some sufficient conditions ensuring the upper semicontinuity and the continuity of the Bregman projection operator Π g C and the relative projection operator P g C in...
Chong Li, Wen Song, Jen-Chih Yao
JAT
2011
64views more  JAT 2011»
12 years 11 months ago
Two remarks on remotality
We prove that there exists a weakly closed and bounded subset E of c0 which is not remotal from 0, and such that co (E) is remotal from 0. This answers a question of M. Mart´ın ...
Michal Kraus
SIAMJO
2008
87views more  SIAMJO 2008»
13 years 4 months ago
Linear Regularity for a Collection of Subsmooth Sets in Banach Spaces
Using variational analysis, we study the linear regularity for a collection of finitely many closed sets. In particular, we extend duality characterizations of the linear regularit...
Xi Yin Zheng, Kung Fu Ng
COMBINATORICA
2010
13 years 1 months ago
A new approach to the Ramsey-type games and the Gowers dichotomy in F-spaces
We give a new approach to the Ramsey-type results of Gowers on block bases in Banach spaces and apply our results to prove the Gowers dichotomy in F-spaces.
George Androulakis, Stephen J. Dilworth, Nigel J. ...