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Author

Gabriel Rioux

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#machine learning Preprint Sep 2026

Averaged Mirror Descent and Dual Gradient Methods: Convergent Algorithms for Entropic Gromov-Wasserstein Problems

The Gromov-Wasserstein (GW) distance measures the discrepancy between metric measure (mm) spaces and identifies optimal alignments between them based solely on their intrinsic structure. Since it identifies isomorphic mm spaces, it provides a natural notion of distance for heterogeneous datasets which may admit isomorp...

Joanna Marks, Gabriel Rioux, Riccardo Passeggeri · 0 citations
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
#machine learning Preprint Aug 2026

On the Computational and Statistical Efficiency of the Empirical Maximum Entropy on the Mean Method

It is shown that the MEM dual problem admits a reformulation as an expected risk minimization problem, thereby placing MEM within the modern framework of stochastic optimization and enabling scalable stochastic gradient algorithms for large-scale inverse problems.

Matthew King-Roskamp, Gabriel Rioux, R. Choksi et al. · 0 citations

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