4 papers
On Moment-Based Recovery of Measures with Atomic and Continuous Parts
Ruben Karapetyan, Shenyuan Ma, Aleš Wodecki +1
Recovering probability measures from moments is a central theme in statistics and optimization. In particular, we focus on the recovery of measures from moments and pseudo-moments,…
Hierarchy of bounds in free orthotropic material optimization: From convex relaxations to Hashin-Shtrikman via sequential global programming
Marek Tyburec, Michael Stingl, Shenyuan Ma
We study free orthotropic material optimization for two-dimensional plane-stress compliance minimization with two well-ordered isotropic phases, motivated by the gap between tensor…
On Taylor-like Estimates for Chebyshev Series Approximations of
Aleš Wodecki, Shenyuan Ma
Polynomial series approximations are a central theme in approximation theory due to their utility in an abundance of numerical applications. The two types of series, which are feat…
Truss topology design under harmonic loads: Peak power minimization with semidefinite programming
Shenyuan Ma, Jakub Marecek, Vyacheslav Kungurtsev +1
Designing lightweight yet stiff structures that can withstand vibrations is a crucial task in structural optimization. Here, we present a novel framework for truss topology optimiz…