Benefits of Overparameterized Convolutional Residual Networks: Function Approximation under Smoothness Constraint

Keyphrases

• Smoothness Constraint 100%
• Function Approximation 100%
• Network Functions 100%
• Convolutional Residual Network 100%
• Neural Network 66%
• Value Function 66%
• Numerical Experiments 33%
• First-order 33%
• Target Function 33%
• Approximation Theory 33%
• Complex Data 33%
• Class Function 33%
• Nonsmooth 33%
• Low-dimensional Manifolds 33%
• Representational Power 33%
• Wide Networks 33%
• Deep Network 33%
• Overparameterized Neural Networks 33%
• Robust Image Classification 33%

Mathematics

• Neural Network 100%
• Approximation Function 100%
• Residual Network 100%
• Approximates 66%
• Function Value 66%
• Approximation Theory 33%
• Numerical Experiment 33%
• Dimensional Manifold 33%