Effective Minkowski Dimension of Deep Nonparametric Regression: Function Approximation and Statistical Theories

Keyphrases

• Regression Function 100%
• Approximation Theory 100%
• Nonparametric Regression 100%
• Function Approximation 100%
• Statistical Theory 100%
• Minkowski Dimension 100%
• Low-dimensional Manifolds 40%
• Gaussian Random 40%
• Random Design 40%
• Polynomial Decay 40%
• Deep Neural Network 40%
• Eigenvalues 20%
• Sample Complexity 20%
• Real-world Application 20%
• Exponential Decay 20%
• Full Rank 20%
• Anisotropic Gaussian 20%
• Intrinsic Dimension 20%
• Manifold Assumption 20%

Mathematics

• Regression Function 100%
• Approximation Theory 100%
• Statistical Theory 100%
• Minkowski Dimension 100%
• Polynomial 40%
• Dimensional Manifold 40%
• Input Data 40%
• Gaussian Distribution 40%
• Deep Neural Network 40%
• Data Structure 20%
• Manifold 20%
• Eigenvalue 20%
• Moderate Sample Size 20%