WHNO using Walsh-Hadamard transforms outperforms Fourier Neural Operators on PDEs with discontinuous coefficients, and optimal WHNO-FNO ensembles cut mean-squared error by 35-40 percent.
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Walsh-Hadamard Neural Operators for Solving PDEs with Discontinuous Coefficients
WHNO using Walsh-Hadamard transforms outperforms Fourier Neural Operators on PDEs with discontinuous coefficients, and optimal WHNO-FNO ensembles cut mean-squared error by 35-40 percent.