Efficient numerical methods for entropy-linear programming problems


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Аннотация

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.

Авторлар туралы

A. Gasnikov

Institute for Information Transmission Problems

Хат алмасуға жауапты Автор.
Email: gasnikov@yandex.ru
Ресей, Bolshoi Karetnyi per. 19/1, Moscow, 127051

E. Gasnikova

Moscow Institute of Physics and Technology

Email: gasnikov@yandex.ru
Ресей, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700

Yu. Nesterov

Center for Operations Research and Econometrics

Email: gasnikov@yandex.ru
Бельгия, Louvain

A. Chernov

Moscow Institute of Physics and Technology

Email: gasnikov@yandex.ru
Ресей, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700

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