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Speed-Accuracy Relations for Diffusion Models: Wisdom from Nonequilibrium Thermodynamics and Optimal Transport

Kotaro Ikeda1,*, Tomoya Uda2, Daisuke Okanohara3, and Sosuke Ito4,5,†

  • 1Department of Mathematical Engineering and Information Physics, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
  • 2Department of Earth and Planetary Physics, School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
  • 3Preferred Networks Inc., 1-6-1, Otemachi, Chiyoda-ku, Tokyo 100-0004, Japan
  • 4Universal Biology Institute, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
  • 5Department of Physics, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-00033, Japan

  • *Contact author: kotaro-ikeda@g.ecc.u-tokyo.ac.jp
  • †Contact author: sosuke.ito@ubi.s.u-tokyo.ac.jp

Probabilistic Super-Resolution for Urban Micrometeorology via a Schrödinger Bridge

Yuki Yasuda and Ryo Onishi

SOLA 22 8 (2026)

Stochastic Calculus for Pathwise Observables of Markov-Jump Processes: Unification of Diffusion and Jump Dynamics

Lars Torbjørn Stutzer, Cai Dieball, and Aljaž Godec

Phys. Rev. X 16 021038 (2026)

Quasiprobability Thermodynamic Uncertainty Relation

Kohei Yoshimura and Ryusuke Hamazaki

Phys. Rev. Lett. 136 120406 (2026)

Geometric regularity in deterministic sampling dynamics of diffusion-based generative models*

Defang Chen, Zhenyu Zhou, Can Wang, and Siwei Lyu

J. Stat. Mech. 2025 124002 (2025)

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