Complementarity, duality and symmetry in nonlinear mechanics: DUALITY FOR ENTROPY OPTIMIZATION AND ITS APPLICATIONS

机译：非线性力学中的互补性，二元性和对称性：熵优化的二元性及其应用

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This paper describes dual formulations of two entropy optimization principles, Jaynes' maximum entropy and Kullback-Leibler's minimum cross-entropy principles. Particular emphases are given to their applications in various optimization problems such as minimax, complementarity and nonlinear programming problems.

机译：本文介绍了两种熵优化原则的双重制剂，Jaynes的最大熵和Kullback-Leibler的最低跨熵原则。在各种优化问题中诸如Minimax，互补性和非线性编程问题的各种优化问题中，对其应用进行了特别的重点。

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《IUTAM Symposium on Complementarity, Duality and Symmetry in Nonlinear Mechanics》|2004年||共12页
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Xingsi Li; Shaohua Pan;
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中图分类 TH11-53;
关键词
Entropy optimization; Duality; Min-Max; Smoothing technique; Lagrangian perturbation;

机译：熵优化;二元性;MIN-MAX;平滑技术;拉格朗日扰动;

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专利

1. Bi-complementarity and duality: A framework in nonlinear equilibria with applications to the contact problem of elastoplastic beam theory [J] . Gao DY. Journal of Mathematical Analysis and Applications . 1998,第2期

机译：双互补和对偶：非线性平衡的框架及其在弹塑性梁理论接触问题中的应用
2. ON MATHEMATICAL ASPECTS OF DUAL VARIABLES IN CONTINUUM MECHANICS .2. APPLICATIONS IN NONLINEAR SOLID MECHANICS [J] . Vandergiessen E., Kollmann FG. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第9期

机译：关于连续力学中双变量的数学方面2。非线性固体力学中的应用
3. ON MATHEMATICAL ASPECTS OF DUAL VARIABLES IN CONTINUUM MECHANICS .2. APPLICATIONS IN NONLINEAR SOLID MECHANICS [J] . Vandergiessen E., Kollmann FG. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第9期

机译：连续力学中双变量的数学方面2。非线性固体力学中的应用
4. Complementarity, duality and symmetry in nonlinear mechanics: DUALITY FOR ENTROPY OPTIMIZATION AND ITS APPLICATIONS [C] . Xingsi Li, Shaohua Pan IUTAM Symposium on Complementarity, Duality and Symmetry in Nonlinear Mechanics . 2004

机译：非线性力学中的互补性，二元性和对称性：熵优化的二元性及其应用
5. Learning with multiple kernels: Semidefinite programming, duality, efficient optimization and applications in computational biology. [D] . Lanckriet, Gert Rene Georges. 2005

机译：用多个内核学习：半定程序设计，对偶性，高效优化和在计算生物学中的应用。
6. Nonextensive Statistical Mechanics: Equivalence Between Dual Entropy and Dual Probabilities [O] . George Livadiotis 2020

机译：非夸张统计力学：双熵与双概率之间的等价
7. Bi-Complementarity and Duality: A Framework in Nonlinear Equilibria with Applications to the Contact Problem of Elastoplastic Beam Theory [O] . Gao David Yang 1998

机译：双互补和对偶：非线性平衡的框架及其在弹塑性梁理论接触问题中的应用
8. Role of Duality in Optimization Problems Involving Entropy Functionals, with Applications to Information Theory [R] . Ben-Tal, A., Teboulle, M., Charnes, A. 1984

机译：二元性在涉及熵函数的优化问题中的作用及其在信息论中的应用

Complementarity, duality and symmetry in nonlinear mechanics: DUALITY FOR ENTROPY OPTIMIZATION AND ITS APPLICATIONS

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