Entropic Projections and Dominating Points

Christian Léonard

Displaying similar documents to “Entropic Projections and Dominating Points”

Well behaved asymptotical convex functions

A. A. Auslender, J. P. Crouzeix (1989)

Annales de l'I.H.P. Analyse non linéaire

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Conditional principles for random weighted measures

Nathael Gozlan (2005)

ESAIM: Probability and Statistics

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In this paper, we prove a conditional principle of Gibbs type for random weighted measures of the form $L_{n} = \frac{1}{n} \sum_{i = 1}^{n} Z_{i} δ_{x_{i}^{n}}$ , ${(Z_{i})}_{i}$ being a sequence of i.i.d. real random variables. Our work extends the preceding results of Gamboa and Gassiat (1997), in allowing to consider thin constraints. Transportation-like ideas are used in the proof.

A note on how Rényi entropy can create a spectrum of probabilistic merging operators

Martin Adamčík (2019)

Kybernetika

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In this paper we present a result that relates merging of closed convex sets of discrete probability functions respectively by the squared Euclidean distance and the Kullback-Leibler divergence, using an inspiration from the Rényi entropy. While selecting the probability function with the highest Shannon entropy appears to be a convincingly justified way of representing a closed convex set of probability functions, the discussion on how to represent several closed convex sets of probability...

Variational principle, conjugate convex functions and “the equivalence of ensembles”

Marc Pirlot (1985)

Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications

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