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stat.ML2025
Statistical Analysis of the Sinkhorn Iterations for Two-Sample Schrödinger Bridge Estimation
Ibuki Maeda, Rentian Yao, Atsushi Nitanda
The Schrödinger bridge problem seeks the optimal stochastic process that connects two given probability distributions with minimal energy modification. While the Sinkhorn algorithm…
stat.ML2025
Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization
Kaheon Kim, Rentian Yao, Changbo Zhu +1
The optimal transport barycenter (a.k.a. Wasserstein barycenter) is a fundamental notion of averaging that extends from the Euclidean space to the Wasserstein space of probability…