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Dresden 2026 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 45: Focus Session: Physics of AI – Part I (joint session SOE/DY)

DY 45.2: Vortrag

Donnerstag, 12. März 2026, 10:00–10:15, GÖR/0226

Statistical Physics of Classifier-free Diffusion Guidance — •Enrico Ventura1, Beatrice Achilli1, Carlo Lucibello1, and Luca Ambrogioni21Bocconi University, Milan, Italy — 2Radboud University, Nijmegen, The Netherlands

Classifier-free Guidance (CFG) is a simple yet effective technique that helps diffusion models better follow a user's prompt. By combining standard unconditional diffusion with diffusion conditioned on a specific class of the data, it steers generation toward samples (e.g. images, videos or text) that more clearly reflect the intended content. We propose a description of the sampling dynamics of a diffusion model under CFG based on the statistical mechanics of disordered systems. Specifically, we study the time-dependent transformation of the diffusion potential providing a quantitative prediction of the way a complex target distribution is deformed to improve data generation. Moreover, we leverage our results to propose alternative theory-based guidance schedules that enhance such beneficial effects.

Keywords: Diffusion Models; Random Energy Model; Disordered Systems; Stochastic Processes; Mean Field Analysis

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