Geometric PDE and Applied Analysis Seminar (September 28, 2026)

Title: From image generation to three-dimensional turbulence: a physically interpretable diffusion-model from the perspective of deterministic PDEs

Speaker: Prof. Tsuyoshi Yoneda (Hitotsubashi University)

Abstract: Diffusion models have become a mainstream framework for image generation. Here, we directly apply the image-generation framework itself to Navier–Stokes turbulence and reinterpret it from the perspective of deterministic PDEs. This framework establishes a physically interpretable connection among deterministic PDEs, stochastic processes, and diffusion models.