AI RESEARCH
IKNO: Infinite-order Kernel Neural Operators
arXiv CS.LG
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ArXi:2605.22182v1 Announce Type: new Neural operators have achieved significant success in modern scientific computing due to their flexibility and strong generalization capabilities. Existing models, however, primarily rely on first-order kernel integral approximations, which severely limit their expressivity. To address this, we propose the Infinite-order Kernel Neural Operator (IKNO), which constructs neural operators via infinite-order kernel integrals and admits an elegant closed-form finite approximation.