On the equivalence of optimal transport problem and action matching with optimal vector fields

Authors: Kornilov N.М.¹^,2, Korotin A.A.¹^,3
Affiliations:
1. Skolkovo Institute of Science and Technology
2. Moscow Institute of Physics and Technology
3. Artificial Intelligence Research Institute
Issue: Vol 80, No 5 (2025)
Pages: 185-186
Section: SHORT MESSAGES
URL: https://journals.rcsi.science/0042-1316/article/view/331274
DOI: https://doi.org/10.4213/rm10264
ID: 331274

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Skolkovo Institute of Science and Technology; Moscow Institute of Physics and Technology

Skolkovo Institute of Science and Technology; Artificial Intelligence Research Institute

N. Kornilov, P. Mokrov, A. Gasnikov, A. Korotin, NIPS {'}24: Proceedings of the 38th international conference on neural information processing systems, Adv. Neural Inf. Process. Syst., 37, Curran Associates, Inc., Red Hook, NY, 2024, 3310, 104180–104204
Xingchao Liu, Chengyue Gong, Qiang Liu, Flow straight and fast: Learning to generate and transfer data with rectified flow, 2023, 33 pp.
K. Neklyudov, R. Brekelmans, D. Severo, A. Makhzani, Proceedings of the 40th international conference on machine learning, Proc. Mach. Learn. Res. (PMLR), 202, 2023, 25858–25889

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