2 papers
math.OC2026
Disjunctive Sum of Squares
Amir Ali Ahmadi, Sanjeeb Dash, Yixuan Hua +1
We introduce the concept of disjunctive sum of squares for certifying nonnegativity of polynomials. Unlike the popular sum of squares approach where nonnegativity is certified by a…
math.OC2025
Generalized Ellipsoids
Amir Ali Ahmadi, Abraar Chaudhry, Cemil Dibek
We introduce a family of symmetric convex bodies called generalized ellipsoids of degree (GE-s), with ellipsoids corresponding to the case of . Generalized ellipsoids (…