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.
Systematic construction of continuous-time neural networks for linear dynamical systems.SIAM Journal on Scientific Computing, 47(4):C820–C845
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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.