Juncai He

On the Optimal Expressive Power of ReLU DNNs and Its Application in Approximation with Kolmogorov Superposition Theorem

2023 · arXiv (Cornell University)

This paper is devoted to studying the optimal expressive power of ReLU deep neural networks (DNNs) and its application in approximation via the Kolmogorov Superposition Theorem. We first constructively prove that any continuous piecewise linear …

On the Optimal Expressive Power of ReLU DNNs and Its Application in Approximation With the Kolmogorov Superposition Theorem

2024 · IEEE Transactions on Neural Networks and Learning Systems

This article is devoted to studying the optimal expressive power of rectified linear unit (ReLU) deep neural networks (DNNs) and its application in approximation via the Kolmogorov superposition theorem (KST). We first constructively prove that …