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首页> 外文期刊>Physics Letters, A >A dual neural network for convex quadratic programming subject to linear equality and inequality constraints
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A dual neural network for convex quadratic programming subject to linear equality and inequality constraints

机译:线性等式和不等式约束的凸二次规划对偶神经网络

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摘要

A present neural network called the dual neural network is proposed in this Letter for solving the strictly convex quadratic programming problems. Compared to other recur-rent neural networks, the proposed dual network with fewer neurons can solve quadratic programming problems subject to equality, inequality, and bound constraints. The dual neural network is shown to be globally exponentially convergent to optimal solutions of quadratic programming problems. In addition, compared to neural networks containing high-order nonlinear terms, the dynamic equation of the proposed dual neural network is piecewise linear, and the network architecture is thus much simpler. The global convergence behavior of the dual neural network is demonstrated by an illustrative numerical example. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 21]
机译:在本函中提出了一种当前的神经网络,称为对偶神经网络,用于解决严格凸二次规划问题。与其他递归神经网络相比,所提出的神经元较少的对偶网络可以解决受等式,不等式和约束约束的二次编程问题。对偶神经网络显示出全局指数收敛于二次规划问题的最优解。此外,与包含高阶非线性项的神经网络相比,所提出的双重神经网络的动力学方程是分段线性的,因此网络体系结构要简单得多。对偶神经网络的全局收敛行为通过一个示例性的数值示例得到证明。 (C)2002 Elsevier Science B.V.保留所有权利。 [参考:21]

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