scientific article; zbMATH DE number 7625193
From MaRDI portal
Publication:5054643
Nikita Puchkin, Vladimir Spokoiny
Publication date: 29 November 2022
Full work available at URL: https://arxiv.org/abs/1906.05014
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Related Items
Adversarial manifold estimation, Optimal reach estimation and metric learning, Deep nonparametric estimation of intrinsic data structures by chart autoencoders: generalization error and robustness, Reconstruction of manifold embeddings into Euclidean spaces via intrinsic distances
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Manifold estimation and singular deconvolution under Hausdorff loss
- Nonparametric ridge estimation
- Tight minimax rates for manifold estimation under Hausdorff loss
- Null space conditions and thresholds for rank minimization
- Convergence of the point integral method for Laplace-Beltrami equation on point cloud
- A Bennett concentration inequality and its application to suprema of empirical processes
- Stability and minimax optimality of tangential Delaunay complexes for manifold reconstruction
- Nonasymptotic rates for manifold, tangent space and curvature estimation
- Direct estimation of the index coefficient in a single-index model
- Structure adaptive approach for dimension reduction.
- Rates of strong uniform consistency for multivariate kernel density estimators. (Vitesse de convergence uniforme presque sûre pour des estimateurs à noyaux de densités multivariées)
- Weak convergence and empirical processes. With applications to statistics
- Ridges for image analysis
- The reach, metric distortion, geodesic convexity and the variation of tangent spaces
- Multiscale Dictionary Learning: Non-Asymptotic Bounds and Robustness
- Curvature Measures
- Empirical graph Laplacian approximation of Laplace–Beltrami operators: Large sample results
- The estimation of the gradient of a density function, with applications in pattern recognition
- An Adaptive Estimation of Dimension Reduction Space
- Low Dimensional Manifold Model for Image Processing
- Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
- Minimax Manifold Estimation
- Local Linear Regression on Manifolds and Its Geometric Interpretation
- The Rotation of Eigenvectors by a Perturbation. III
- Introduction to nonparametric estimation
- New concentration inequalities in product spaces