So far we discussed optimization problems involving the major “polynomial” families of cones: linear, quadratic and power cones. In this chapter we introduce a single new object, namely the three-dimensionalexponential cone, together with examples and applications. The exponential cone can be used...
5.2 Modeling with the exponential cone 利用指数锥扩展圆锥优化工具箱,可以获得新类型的约束构件和新类型的可表示集合。本节将列出指数锥的基本操作。 5.2.1 Exponential 上镜图(epigraph)t≥ex是Kexp的一个部分: 5.2.2 Logarithm 同样,我们也可以表示下镜图t≤logx,x≥0: ...
Exponential-cone optimizationInterior-point methodsA new primal-dual interior-point algorithm applicable to nonsymmetric conic optimization is proposed. It is a generalization of the famous algorithm suggested by Nesterov and Todd for the symmetric conic case, and uses primal-dual scalings for ...
Due to the simple structure, they have received widespread attention in various fields, such as distributed optimization [1], power systems [2], and wireless communication [3]. In view of their wide applications, there are numerous theoretic studies on the convergence properties of PDD and its ...
We regret any inconvenience.关键词: YALMIP Networked Control System(NCS Cone Complimentary Linearization(CCL BMI (Bilinear Matrix Inequality PZMAP 会议名称: International Conference: Electrical, Electronics, Signals, Communication & Optimization-EESCO 会议时间: 2015/01/24 主办单位: IEEE ...
In: 4th neural information processing systems (NIPS) work- shop on discrete optimization in machine learning (DISCML): structure and scalability. 2012. p. 1–6. 16. Ising E. Beitrag zur theorie des ferromagnetismus. Z Phys. 1925;31:253–8. 17. Ackley D, Hinton G, Sejnowski T. A ...
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Joint optimization of two-dimensional warranty period and maintenance strategy considering availability and cost constraints Numerical investigation of the flow characteristics involving dissipation and slip effects in a convectively nanofluid within a porous medium Spectral uncertainty analysis of grassland and...
In this paper, we treat their conic extensions, the exponential cone and the relative entropy cone, in primal, dual and polar form, and show that finding the nearest mapping of a point onto these convex sets all reduce to a single univariate root-finding problem. This leads to a fast ...
exponential cone programmingoptimization with uncertaintyelectric vehicle chargingdemand chargeA key to the mass adoption of electric vehicles (EVs) is ease of charging, in which public charging will play an increasingly important role. We study the EV ch...