3 papers
cs.LG2026
On the Robustness of Distribution Support under Diffusion Guidance
Ruijia Cao, Yuchen Wu, Nisha Chandramoorthy
Diffusion guidance is a powerful technique that enables controllable and high-fidelity sample generation with diffusion models. At a high level, it modifies the score function by i…
math.AP2024
Information geometric regularization of unidimensional pressureless Euler equations yields global strong solutions
Ruijia Cao, Florian Schäfer
Partial differential equations describing compressible fluids are prone to the formation of shock singularities, arising from faster upstream fluid particles catching up to slower,…
math.NA2023
Information geometric regularization of the barotropic Euler equation
Ruijia Cao, Florian Schäfer
Shock waves in gas dynamics feature jump discontinuities that hinder numerical simulations. Viscous regularizations are prone to excessive dissipation of fine-scale structures. In…