AI RESEARCH
Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs
arXiv CS.LG
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ArXi:2605.10451v1 Announce Type: new 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 dynamics. We propose Adaptive Basis Learning (ABLE), a framework that learns data-dependent spectral representations instead of relying on predefined bases.