80 citations · 273 across the 41 of their papers we have counts for
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Canonical duality for solving general nonconvex constrained problems
Vittorio Latorre, David Y. Gao
This paper presents a canonical duality theory for solving a general nonconvex constrained optimization problem within a unified framework to cover Lagrange multiplier method and K…
Global Solutions to Large-Scale Spherical Constrained Quadratic Minimization via Canonical Dual Approach
Yi Chen, David Y. Gao
This paper presents global optimal solutions to a nonconvex quadratic minimization problem over a sphere constraint. The problem is well-known as a trust region subproblem and has…
Global Solutions to Nonconvex Optimization of 4th-Order Polynomial and Log-Sum-Exp Functions
Yi Chen, David Y Gao
This paper presents a canonical dual approach for solving a nonconvex global optimization problem governed by a sum of fourth-order polynomial and a log-sum-exp function. Such a pr…
Optimal Design of Water Distribution Networks by Discrete State Transition Algorithm
Xiaojun Zhou
Optimal design of water distribution networks, which are governed by a series of linear and nonlinear equations, has been extensively studied in the past decades. Due to their NP-h…
A Multiobjective State Transition Algorithm for Single Machine Scheduling
Xiaojun Zhou
In this paper, a discrete state transition algorithm is introduced to solve a multiobjective single machine job shop scheduling problem. In the proposed approach, a non-dominated s…
Canonical dual solutions to nonconvex radial basis neural network optimization problem
Vittorio Latorre, David Yang Gao
Radial Basis Functions Neural Networks (RBFNNs) are tools widely used in regression problems. One of their principal drawbacks is that the formulation corresponding to the training…