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The convex body chasing problem, introduced by Friedman and Linial, is a competitive analysis problem on any normed vector space.
Partitions of mass-distributions and of convex bodies by hyperplanes
B. Grunbaum · 1960
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On steiner points of convex bodies
Rolf Schneider · 1971
Earlier work this paper cites.
On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
Herm Jan Brascamp and Elliott H. Lieb · 1976
Earlier work this paper cites.
Continuity properties of selectors
Krzysztof Przeshawski and David Y Ost · 1989
Earlier work this paper cites.
On convex body chasing
Joel Friedman and Nathan Linial · 1993
Earlier work this paper cites.
Functional analysis: Theory and applications, holt, rinehart and winston, new york, 1965
RE Edwards · 1994
Earlier work this paper cites.
Isoperimetric problems for convex bodies and a localization lemma
Ravi Kannan, László Lovász, and Miklós Simonovits · 1995
Earlier work this paper cites.
Centres of convex sets in lp metrics
Krzysztof Przesławski · 1996
Cited alongside, same era.
An elementary introduction to modern convex geometry
Keith Ball · 1997
Cited alongside, same era.
Solving convex programs by random walks
Dimitris Bertsimas and Santosh Vempala · 2004
Cited alongside, same era.
The extreme points of subsets of s-concave probabilities and a geometric localization theorem
Matthieu Fradelizi and Olivier Guédon · 2004
Cited alongside, same era.
The geometry of logconcave functions and sampling algorithms
László Lovász and Santosh Vempala · 2007
Cited alongside, same era.
Online learning: Theory, algorithms, and applications
Shai Shalev-Shwartz · 2007
Cited alongside, same era.
Some notes on amenability, 2009
Terence Tao · 2009
Later among the works it cites.
On the universality of online mirror descent
Nati Srebro, Karthik Sridharan, and Ambuj Tewari · 2011
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Geometry of isotropic log-concave measures
Silouanos Brazitikos, Apostolos Giannopoulos, Petros Valettas, and B Vritsiou · 2014
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A nearly-linear bound for chasing nested convex bodies
CJ Argue, Sébastien Bubeck, Michael B Cohen, Anupam Gupta, and Yin Tat Lee · 2018
Closest in time.
Nested convex bodies are chaseable
Nikhil Bansa, Martin Böhm, Marek Eliáš, Grigorios Koumoutsos, and Seeun William Umboh · 2018
Closest in time.
Competitively chasing convex bodies
Sébastien Bubeck, Yin Tat Lee, Yuanzhi Li, and Mark Sellke · 2018
Closest in time.
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