PILIR mitigates spectral bias in PINNs by encoding explicit spatial locality via a learnable grid and synthesizing continuous fields with a generative neural operator, yielding higher accuracy on high-frequency PDE features.
Solving the boltzmann equa- tion with a neural sparse representation.SIAM Journal on Scientific Computing, 46(2):C186–C215
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PILIR: Physics-Informed Local Implicit Representation
PILIR mitigates spectral bias in PINNs by encoding explicit spatial locality via a learnable grid and synthesizing continuous fields with a generative neural operator, yielding higher accuracy on high-frequency PDE features.