4 papers
Analytic Distribution of Classifier-Free Guidance for Schedule Design
Enze Jiang, Zheng Ma
Classifier-free guidance (CFG) is the default mechanism for conditional generation in diffusion models, but the distribution sampled by its deterministic guided dynamics is not cap…
Decoupled Latent Optimization of Diffusion Models for Full Waveform Inversion
Chen Min, Zheng Ma
Full waveform inversion (FWI) recovers subsurface velocity from seismic recordings by solving a severely ill-posed, nonconvex PDE-constrained optimization. Classical regularizers s…
Robust Physics-Guided Diffusion for Full-Waveform Inversion
Jishen Peng, Enze Jiang, Zheng Ma +1
We develop a robust physics-guided diffusion framework for full-waveform inversion that combines a score-based generative prior with likelihood guidance computed through wave-equat…
ODE-DPS: ODE-based Diffusion Posterior Sampling for Inverse Problems in Partial Differential Equation
Enze Jiang, Jishen Peng, Zheng Ma +1
In recent years we have witnessed a growth in mathematics for deep learning, which has been used to solve inverse problems of partial differential equations (PDEs). However, most d…