Author

Z. Goldfeld

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Preprint Sep 2026

Discrete Gromov-Wasserstein Duality: Algorithms and Isomorphism Testing

This work furnishes a novel duality result for GW distances with and without entropic regularization that is applicable to all finitely supported mm spaces and proposes new algorithms for solving the regularized GW problem which are subject to formal convergence guarantees.

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