Convergence of deep convolutional neural networks

Deep Network with Approximation Error Being Reciprocal of Width to Power of Square Root of Depth

(2021) Zuowei Shen et al.   NEURAL COMPUTATION

Faster Convergence in Deep-Predictive-Coding Networks to Learn Deeper Representations

(2021) Isaac J. Sledge et al.   IEEE Transactions on Neural Networks and Learning Systems

Parseval Proximal Neural Networks

(2020) Marzieh Hasannasab et al.   JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Error bounds for deep ReLU networks using the Kolmogorov–Arnold superposition theorem

(2020) Hadrien Montanelli et al.   NEURAL NETWORKS

Improved Linear Convergence of Training CNNs With Generalizability Guarantees: A One-Hidden-Layer Case

(2020) Shuai Zhang et al.   IEEE Transactions on Neural Networks and Learning Systems

Universality of deep convolutional neural networks

(2019) Ding-Xuan Zhou   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

Equivalence of approximation by convolutional neural networks and fully-connected networks

(2019) Philipp Petersen et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Exponential convergence of the deep neural network approximation for analytic functions

(2018) Weinan E et al.   Science China-Mathematics

Error bounds for approximations with deep ReLU networks

(2017) Dmitry Yarotsky   NEURAL NETWORKS

Deep learning

(2015) Yann LeCun et al.   NATURE