Deep nonparametric estimation of intrinsic data structures by chart autoencoders: Generalization error and robustness

Keyphrases

• Nonparametric Estimation 100%
• Generalization Error 100%
• Autoencoder 100%
• Denoising 20%
• Latent Feature 20%
• Data Manifold 20%
• Training Samples 10%
• Numerical Experiments 10%
• High-dimensional Data 10%
• Low-dimensional Manifolds 10%
• Noise Free 10%
• Statistical Guarantees 10%
• Noise Level 10%
• Network Architecture 10%
• Intrinsic Dimension 10%
• Noisy Training 10%
• Tangential Component 10%
• Denoising Effect 10%
• Normal Noise 10%
• Global Parametrization 10%

Mathematics

• Data Structure 100%
• Nonparametric Estimation 100%
• Autoencoder 100%
• Manifold 30%
• Dimensional Manifold 20%
• Dimensional Data 10%
• Numerical Experiment 10%
• Training Sample 10%
• Input Data 10%

Engineering

• Autoencoder 100%
• Numerical Experiment 10%
• Dimensional Data 10%
• Input Data 10%
• Noise Level 10%
• Tangential Component 10%
• Parametrization 10%