Adapting Noise To Data: Generative Flows From 1D Processes
数学专题报告
报告题目(Title)：Adapting Noise To Data: Generative Flows From 1D Processes
报告人(Speaker)：Gabriele Steidl 教授 (Technische Universität Berlin, Germany)
地点(Place)：后主楼1124
时间(Time)：2025年10月10日 （周五）16:00-17:00
邀请人(Inviter)：杨大春
报告摘要
We introduce a general framework for constructing generative models using one-dimensional noising processes. Beyond diffusion processes, we outline examples that demonstrate the flexibility of our approach. Motivated by this, we propose a novel framework in which the 1D processes themselves are learnable, achieved by parameterizing the noise distribution through quantile functions that adapt to the data. Our construction integrates seamlessly with standard objectives, including Flow Matching and consistency models. Learning quantile-based noise naturally captures heavy tails and compact supports when present. Numerical experiments highlight both the flexibility and the effectiveness of our method.
Joint work with J. Chemseddine, G. Kornhardt, R. Duong, P. Friz.
