Recent results on non-convex multi-objective optimization problems and methods are presented in this book, with particular attention to expensive black-box objective functions. Multi-objective optimization methods facilitate designers, engineers, and researchers to make decisions on appropriate trade-offs ...
非凸全局优化 Nonconvex Global Optimization lecture 17, 视频播放量 2、弹幕量 0、点赞数 1、投硬币枚数 0、收藏人数 1、转发人数 0, 视频作者 PsyElGou, 作者简介 El Psy Kongroo,相关视频:非凸全局优化 Nonconvex Global Optimization lecture 15,非凸全局优化 Nonco
1，首先大家需要知道Convex VS Non-Convex的概念吧？数学定义就不写了，介绍个直观判断一个集合是否为Co...
1，纯凸优化。你将这个问题改写为凸优化问题（你之所以这么做是因为凸优化问题一旦找到一个最优解它就...
第四类是大规模分离非凸优化问题，通过Shapley-Folkman定理证明了当分离项趋于无穷时，对偶间隙趋于零，因此可以求解对偶问题得到原问题的最优解。在通信领域中，这有着重要的应用。最后，奇异值分解（Singular Value Decomposition）及其应用在通信和信号处理中极为关键。通过矩阵的奇异值分解，我们能够以曼若...
Trade-off information related to Pareto optimal solutions is important in multiobjective optimization problems with conflicting objectives. Recently, the concept of trade-off directions has been introduced for convex problems. These trade-offs are characterized with the help of tangent cones. Generalized ...
Non-Convex Quadratic Optimization Webinar Summary One major new feature in Gurobi 9.0 is a new bilinear solver, which allows users to solve problems with non-convex quadratic objectives and constraints (i.e., QPs, QCPs, MIQPs, and MIQCPs). Many non-linear optimization solvers search for local...
Using a scalarization method, approximate optimality conditions of a multiobjective nonconvex optimization problem which has an infinite number of constraints are established. Approximate duality theorems for mixed duality are given. Results on approximate duality in Wolfe type and Mond-Weir type are also...
Convex maximization is able to solve only an approximation of the optimization within a restricted solution domain, due to its non-convex nature. In this paper, we demonstrate that convex constraints are counterproductive and we propose an alternative optimization technique based on genetic algorithms....
With the introduction of the concept of p-invex into the non-convex nondifferentiablemultiobjective programming,several sufficient conditions for the weak pareto solution areobtained.The corresponding duality theory of the Wolfe type has been devoloped and the re-sults of the relevant duality theory ...