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For any convex body $K \subseteq \mathbb R^n$, S.
“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. Brascamp and Elliott. Lieb · 1976
Earlier work this paper cites.
“Interior-point polynomial algorithms in convex programming” 13
Yurii Nesterov and Arkadii Nemirovskii · 1994
Earlier work this paper cites.
“From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities”
Sergey. Bobkov and Michel Ledoux · 2000
Earlier work this paper cites.
“The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems”
D. Cordero-Erausquin, M. Fradelizi and B. Maurey · 2004
Earlier work this paper cites.
“Gradient flows in metric spaces and in the space of probability measures”, Lectures in Mathematics ETH Zürich
Luigi Ambrosio, Nicola Gigli and Giuseppe Savaré · 2008
Earlier work this paper cites.
“Competing in the dark: An efficient algorithm for bandit linear optimization”
Jacob Abernethy, Elad E. Hazan and Alexander Rakhlin · 2008
Earlier work this paper cites.
“Optimal transport” Old and new 338
Cédric Villani · 2009
Earlier work this paper cites.
“Invariances in variance estimates”
F. Barthe and D. Cordero-Erausquin · 2013
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“Analysis and geometry of Markov diffusion operators” 348
Dominique Bakry, Ivan Gentil and Michel Ledoux · 2014
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“Canonical barriers on convex cones”
Roland Hildebrand · 2014
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“Dimensional variance inequalities of Brascamp-Lieb type and a local approach to dimensional Prékopa’s theorem”
Van Nguyen · 2014
Cited alongside, same era.
“Heat capacity bound, energy fluctuations and convexity” Thesis (Ph.D.)–Yale University
Liyao Wang · 2014
Cited alongside, same era.
“A Schwarz lemma for Kähler affine metrics and the canonical potential of a proper convex cone”
Daniel.. Fox · 2015
Cited alongside, same era.
“Optimal concentration of information content for log-concave densities”
Matthieu Fradelizi, Mokshay Madiman and Liyao Wang · 2016
Later among the works it cites.
“Transport inequalities for log-concave measures, quantitative forms, and applications”
Dario Cordero-Erausquin · 2017
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“Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities”
François Bolley, Ivan Gentil and Arnaud Guillin · 2018
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“The entropic barrier: exponential families, log-concave geometry, and self-concordance”
Sébastien Bubeck and Ronen Eldan · 2019
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“Exponential ergodicity of mirror-Langevin diffusions”
Sinho Chewi et al · 2020
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“Efficient constrained sampling via the mirror-Langevin algorithm”
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“Optimal transport for applied mathematicians” Calculus of variations, PDEs, and modeling 87
Filippo Santambrogio · 2015
Cited alongside, same era.
Kwangjun Ahn and Sinho Chewi · 2021
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“Universal barrier is n n -self-concordant”
Yin Lee and Man-Chung Yue · 2021
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