Diffusion & Adversarial Schr\"odinger Bridges via Iterative Proportional Markovian Fitting

arXiv — cs.LGFriday, November 7, 2025 at 5:00:00 AM

Diffusion & Adversarial Schr\"odinger Bridges via Iterative Proportional Markovian Fitting

A recent study introduces an innovative approach to solving the Schrödinger Bridge problem through the Iterative Markovian Fitting (IMF) procedure. This method not only projects onto the space of Markov processes but also incorporates a crucial heuristic modification that alternates between fitting forward and backward time diffusion. This adjustment is essential for stabilizing the training process and ensuring reliable outcomes, marking a significant advancement in the field of statistical mechanics and quantum processes.
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