2 papers
math.NA2026
Shallow neural network yields regularization for ill-posed inverse problems
Lan Wang, Qiao Zhu, Bangti Jin +1
In this paper, we develop a regularization theory for neural network approximations of general ill-posed operator equations with noisy data. Within the framework of iterative regul…
math.NA2026
Deep neural network yields regularization for ill-posed inverse problems
Qiao Zhu, Lan Wang, Ye Zhang
This paper studies the regularization of ill-posed inverse problems by deep neural networks (DNNs). We extend architecture-based regularization from shallow networks to deep models…