3 papers
math.PR2026
Probabilistic Representation and Convergence of Gromov-Wasserstein Gradient Flows
Venkatkrishna Karumanchi, Ziv Goldfeld, Kengo Kato +1
Wasserstein gradient flows are intimately connected with evolution partial differential equations and diffusion processes. We take the first step in developing such connections for…
math.PR2024
Approximation rates of entropic maps in semidiscrete optimal transport
Ritwik Sadhu, Ziv Goldfeld, Kengo Kato
Entropic optimal transport offers a computationally tractable approximation to the classical problem. In this note, we study the approximation rate of the entropic optimal transpor…
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…