3 papers
cs.AI2026
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…
math.OC2026
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,…
math.OC2026
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…