4 citations · 4 across the 5 of their papers we have counts for
6 papers
Recovering Lower-Dimensional Semialgebraic Support of a Measure from its Moments
Ruben Karapetyan, Shenyuan Ma, Ales Wodecki +1
Recovering probability measures from their moments has numerous applications, esp. in connection with the method of moments in statistics and optimization. In the setting where mea…
When Can One Obtain Certificates of Optimality Using Positivstellensaetze?
Nayoon Kim, Allen Gehret, Shenyuan Ma +1
We study certificates of positivity and optimality for learning problems whose objectives and constraints need not be polynomial. We isolate an axiomatic core of Fischer's construc…
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,…
Towards realizable free material optimization via energy bound hierarchy
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. To connect free material optimizati…
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…
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…