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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)

Emergence of nonequilibrium latent cycles in unsupervised generative modeling

Marco Baiesi and Alberto Rosso

Phys. Rev. E 114 015301 (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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