版本更新 · v3arXiv:2504.02321
On shallow feedforward neural networks with inputs from a topological space
Vugar Ismailov
We study feedforward neural networks with inputs from a topological space (TFNNs). We prove a universal approximation theorem for shallow TFNNs, which demonstrates their capacity to approximate any continuous function defined on this topological space. As an application, we obtain an approximative version of Kolmogorov's superposition theorem for compact metric spaces.
尚无 AI 解读,展示原文摘要
cs.LG · math.FA