Brenier's 1991 Theorem Fuels Diffusion Models via Optimal Transport
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Brenier’s seminal paper has just over 2K citations in more than 30 years - depth & impact aren’t just about the citations. “Polar factorization and monotone rearrangement of vector‐valued functions”, Y. Brenier, Comms. on pure and applied mathematics 44 (4), 375-417, 1991 6/6
Brenier's Thm has had deep impact in Statistics and Machine Learning It has been used, for instance, in diffusion models particularly in potential and probability flows. 5/6