Fredholm Integral Neural Operators are universal approximators of integral operators and are guaranteed to be contractive, enabling reliable solution operator learning for FIEs and PDEs.
Learning nonlinear op- erators via deeponet based on the universal approximation theorem of operators.Nature machine intelligence, 3(3):218–229
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Learning Contractive Integral Operators with Fredholm Integral Neural Operators
Fredholm Integral Neural Operators are universal approximators of integral operators and are guaranteed to be contractive, enabling reliable solution operator learning for FIEs and PDEs.