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Displacement convexity of entropy and related inequalities on graphs

✍ Scribed by Gozlan, Nathael; Roberto, Cyril; Samson, Paul-Marie; Tetali, Prasad


Book ID
120991771
Publisher
Springer
Year
2013
Tongue
English
Weight
478 KB
Volume
160
Category
Article
ISSN
1432-2064

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Convexity conditions of Kantorovich func
✍ Yun-Bin Zhao πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 289 KB

The Kantorovich function (x T Ax)(x T A -1 x), where A is a positive definite matrix, is not convex in general. From a matrix or convex analysis point of view, it is interesting to address the question: when is this function convex? In this paper, we prove that the 2-dimensional Kantorovich function