Layer-wise Lipschitz-Product Control for Deep Kolmogorov–Arnold Network Representations of Compositionally Structured Functions
arXiv:2604.26444v1 Announce Type: new
Abstract: We prove that any continuous function f from [0,1]^n to R representable by a finite computation tree with N internal nodes and compositional sparsity s = O(1) admits a deep Kolmogorov-Arnold Network (KAN…