Publications

Preprints

• J. Marks^★, G. Rioux^★, and R. Passeggeri. "Averaged Mirror Descent and Dual Gradient Methods: Convergent Algorithms for Entropic Gromov-Wasserstein Problem" arXiv preprint. arXiv:2609.31848, 2026. ArXiv | Bibtex

• G. Rioux^★, J. Marks, R. Passeggeri, and Z. Goldfeld. "Discrete Gromov-Wasserstein Duality: Algorithms and Isomorphism Testing" arXiv preprint. arXiv:2609.03094, 2026. ArXiv | Bibtex

• M. King-Roskamp^★, G. Rioux^★, R. Choksi, and T. Hoheisel. "On the Computational and Statistical Efficiency of the Empirical Maximum Entropy on the Mean Method s" arXiv preprint. arXiv:2608.27705, 2026. ArXiv | Bibtex

• V. Karumanchi^★, G. Rioux^★, and Z. Goldfeld. "Approximation Analysis of the Entropic Penalty in Quadratic Programming." arXiv preprint. arXiv:2509.20031, 2025. ArXiv | Bibtex

• G. Rioux^★, Z. Goldfeld, and K. Kato. "Limit Laws for Gromov-Wasserstein Alignment with Applications to Testing Graph Isomorphisms." arXiv preprint. arXiv:2410.18006, 2024. ArXiv | Bibtex

Publications

• X. Gong^★, G. Rioux^★, and Z. Goldfeld. "Sliced Inner Product Gromov-Wasserstein Distances" Accepted at Advances in Neural Information Processing Systems. 40, 2026. ArXiv | Bibtex

• G. Rioux^★, Z. Goldfeld, and K. Kato. "Entropic Gromov-Wasserstein Distances: Stability and algorithms." Journal of Machine Learning Research. 25(363), 2024, pp.1-52. Paper | ArXiv | Bibtex

• G. Rioux^★, A. Nitsure, M. Rigotti, K, Greenewald, and Y. Mroueh. "Multivariate stochastic dominance via optimal transport and applications to models benchmarking." Advances in Neural Information Processing Systems. 37, 2024, pp.39190-39223. Paper | ArXiv | Bibtex

• Z. Goldfeld, K. Kato, S. Nietert, and G. Rioux. "Limit theorems for entropic optimal transport maps and the Sinkhorn divergence." Electronic Journal of Statistics. 34(2), 18(1), 2024, pp.980-1041. Paper | ArXiv | Bibtex

• Z. Goldfeld, K. Kato, G. Rioux, and R. Sadhu. "Statistical inference with regularized optimal transport." Information and Inference: A Journal of the IMA. 13(1), 2024. Paper | ArXiv | Bibtex

• Z. Goldfeld, K. Kato, S. Nietert, and G. Rioux. "Limit distribution theory for smooth p-Wasserstein distances." Annals of Applied Probability. 34(2), 2024, pp.2447-2487. Paper | ArXiv | Bibtex

• G. Rioux^★, R. Choksi, T. Hoheisel, C. Scarvelis, and P. Maréchal. "The Maximum Entropy on the Mean Method for Image Deblurring." Inverse Problems. 37, 2021 (29 pp.). Paper | ArXiv | Bibtex

• G. Rioux^★, C. Scarvelis^★, R. Choksi, T. Hoheisel, and P. Maréchal. "Blind Deblurring of Barcodes via Kullback-Leibler Divergence." IEEE Transactions on Pattern Analysis and Machine Intelligence. 43(1), 2021, pp.77-88. Paper | Bibtex