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15 papers · 1 filter
Calmness modulus of linear semi-infinite programs
M. J. Canovas, A. Y. Kruger, M. A. Lopez +2
Our main goal is to compute or estimate the calmness modulus of the argmin mapping of linear semi-infinite optimization problems under canonical perturbations, i.e., perturbations…
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…
About [q]-regularity properties of collections of sets
Alexander Y. Kruger, Nguyen H. Thao
We examine three primal space local Hoelder type regularity properties of finite collections of sets, namely, [q]-semiregularity, [q]-subregularity, and uniform [q]-regularity as w…
Quantitative Characterizations of Regularity Properties of Collections of Sets
Alexander Kruger, Nguyen Hieu Thao
Several primal and dual characterizations of regularity properties of collections of sets in normed linear spaces are discussed. Relationships between regularity properties of coll…
Fitting Voronoi Diagrams to Planar Tesselations
Greg Aloupis, Hebert Pérez-Rosés, Guillermo Pineda-Villavicencio +2
Given a tesselation of the plane, defined by a planar straight-line graph , we want to find a minimal set of points in the plane, such that the Voronoi diagram associated wi…
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…