Efficient numerical methods for entropy-linear programming problems


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Entropy-linear programming (ELP) problems arise in various applications. They are usually written as the maximization of entropy (minimization of minus entropy) under affine constraints. In this work, new numerical methods for solving ELP problems are proposed. Sharp estimates for the convergence rates of the proposed methods are established. The approach described applies to a broader class of minimization problems for strongly convex functionals with affine constraints.

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A. Gasnikov

Institute for Information Transmission Problems

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Email: gasnikov@yandex.ru
俄罗斯联邦, Bolshoi Karetnyi per. 19/1, Moscow, 127051

E. Gasnikova

Moscow Institute of Physics and Technology

Email: gasnikov@yandex.ru
俄罗斯联邦, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700

Yu. Nesterov

Center for Operations Research and Econometrics

Email: gasnikov@yandex.ru
比利时, Louvain

A. Chernov

Moscow Institute of Physics and Technology

Email: gasnikov@yandex.ru
俄罗斯联邦, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700

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