3 papers
stat.ML2026
Sliced Inner Product Gromov-Wasserstein Distances
Xiaoyun Gong, Gabriel Rioux, Ziv Goldfeld
The Gromov-Wasserstein (GW) problem provides a framework for aligning heterogeneous datasets by matching their intrinsic geometry, but its statistical and computational scaling rem…
math.OC2025
Approximation Analysis of the Entropic Penalty in Quadratic Programming
Venkatkrishna Karumanchi, Gabriel Rioux, Ziv Goldfeld
Quadratic assignment problems are a fundamental class of combinatorial optimization problems which are ubiquitous in applications, yet their exact resolution is NP-hard. To circumv…
math.ST2024
Limit Laws for Gromov-Wasserstein Alignment with Applications to Testing Graph Isomorphisms
Gabriel Rioux, Ziv Goldfeld, Kengo Kato
The Gromov-Wasserstein (GW) distance enables comparing metric measure spaces based solely on their internal structure, making it invariant to isomorphic transformations. This prope…