13 citations · 21 across the 12 of their papers we have counts for
17 papers
Failure Modes of Interior-Point SDP Solvers on Moment--SOS Hierarchies
Michal Kocvara
Standard semidefinite programming (SDP) solvers working in double precision can become unreliable on difficult problems, even when their output appears plausible. We study this iss…
Term-sparse polynomial optimization for the design of frame structures
Marouan Handa, Marek Tyburec, Michal Kočvara
This work investigates an efficient solution to two fundamental problems in topology optimization of frame structures. The first one involves minimizing structural compliance under…
On the numerical solution of Lasserre relaxations of unconstrained binary quadratic optimization problem
Soodeh Habibi, Michal Kocvara, Michael Stingl
The aim of this paper is to solve linear semidefinite programs arising from higher-order Lasserre relaxations of unconstrained binary quadratic optimization problems. For this we u…
Global weight optimization of frame structures under free-vibration eigenvalue constraints
Marek Tyburec, Michal Kočvara, Marouan Handa +1
Topology optimization of frame structures under free-vibration eigenvalue constraints constitutes a challenging nonconvex polynomial optimization problem with disconnected feasible…
Global weight optimization of frame structures with polynomial programming
Marek Tyburec, Michal Kočvara, Martin Kružík
Weight optimization of frame structures with continuous cross-section parametrization is a challenging non-convex problem that has traditionally been solved by local optimization t…
Partial Gradient Optimal Thresholding Algorithms for a Class of Sparse Optimization Problems
Nan Meng, Yun-Bin Zhao, Michal Kocvara
The optimization problems with a sparsity constraint is a class of important global optimization problems. A typical type of thresholding algorithms for solving such a problem adop…