Efficient numerical methods for entropy-linear programming problems
- 作者: Gasnikov A.V.1, Gasnikova E.B.2, Nesterov Y.E.3, Chernov A.V.2
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隶属关系:
- Institute for Information Transmission Problems
- Moscow Institute of Physics and Technology
- Center for Operations Research and Econometrics
- 期: 卷 56, 编号 4 (2016)
- 页面: 514-524
- 栏目: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178370
- DOI: https://doi.org/10.1134/S0965542516040084
- ID: 178370
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详细
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.
作者简介
A. Gasnikov
Institute for Information Transmission Problems
编辑信件的主要联系方式.
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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