AI RESEARCH
Learning Contractive Integral Operators with Fredholm Integral Neural Operators
arXiv CS.LG
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ArXi:2604.03034v1 Announce Type: cross We generalize the framework of Fredholm Neural Networks, to learn non-expansive integral operators arising in Fredholm Integral Equations (FIEs) of the second kind in arbitrary dimensions. We first present the proposed Fredholm Integral Neural Operators (FREDINOs), for FIEs and prove that they are universal approximators of linear and non-linear integral operators and corresponding solution operators.