2 papers
cs.LG2026
Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs
Xuxiang Zhao, Angelica I. Aviles-Rivero
Spectral neural operators achieve strong performance for PDE learning, but rely on fixed global bases that limit their ability to represent spatially heterogeneous and multiscale d…
cs.CV2025
Deep Spectral Prior
Yanqi Cheng, Xuxiang Zhao, Tieyong Zeng +3
We introduce the Deep Spectral Prior (DSP), a new framework for unsupervised image reconstruction that operates entirely in the complex frequency domain. Unlike the Deep Image Prio…