Author

Z. Goldfeld

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Preprint Sep 2026

Discrete Gromov-Wasserstein Duality: Algorithms and Isomorphism Testing

The Gromov-Wasserstein (GW) distance provides a principled framework for aligning metric measure (mm) spaces based solely on their intrinsic structure. Its ability to identify isomorphic representations of distributions across spaces renders it valuable for comparing data where equality up to isomorphism occurs natural...

Gabriel Rioux, Joanna Marks, Riccardo Passeggeri et al. · 1 citation

Preprint Aug 2026

Probabilistic Representation and Convergence of Gromov-Wasserstein Gradient Flows

Wasserstein gradient flows are intimately connected with evolution partial differential equations and diffusion processes. We take the first step in developing such connections for inner product Gromov--Wasserstein (IGW) gradient flows by studying the IGW gradient flow of the relative entropy $\mathsf{H}(\cdot\|\gamma)...

Venkatkrishna Karumanchi, Z. Goldfeld, Kengo Kato et al. · 0 citations