arxivcs.LGcs.AI2026-07-21
Functional Equivalence and Geometric Diversity in Neural Network Approximations: An Empirical Characterization
Anuragine S A, Prem Jagadeesan
The Universal Approximation Theorem states that a neural network with a single hidden layer is sufficient to approximate any continuous univariate function on a compact domain to arbitrary error. However, the uniqueness of such neural network representations is not guaranteed, ra…