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Antonios Varvitsiotis

3 accepted papers

2025

Certifying Concavity and Monotonicity in Games via Sum-of-Squares Hierarchies

NeurIPS 2025poster

Concavity and its refinements underpin tractability in multiplayer games, where players independently choose actions to maximize their own payoffs which depend on other players’ actions. In *concave* games, where players' strategy sets are compact and convex, and their payoffs are concave in their o…

Cited by 0SourceScholar
2021

A Non-commutative Extension of Lee-Seung's Algorithm for Positive Semidefinite Factorizations

NeurIPS 2021poster

Given a data matrix $X\in \mathbb{R}_+^{m\times n}$ with non-negative entries, a Positive Semidefinite (PSD) factorization of $X$ is a collection of $r \times r$-dimensional PSD matrices $\{A_i\}$ and $\{B_j\}$ satisfying the condition $X_{ij}= \mathrm{tr}(A_i B_j)$ for all $\ i\in [m],\ j\in [n]$.…

Cited by 3SourcePDFScholar