A spectral series approach to high-dimensional nonparametric regression
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Publication:5965330
DOI10.1214/16-EJS1112zbMath1332.62133arXiv1602.00355OpenAlexW2270035949MaRDI QIDQ5965330
Publication date: 3 March 2016
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.00355
high-dimensional inferencedata-driven basiseigenmapsmanifold learningMercer kernelorthogonal series regression
Related Items (8)
Multiscale regression on unknown manifolds ⋮ Comparing two populations using Bayesian Fourier series density estimation ⋮ Manifold learning with arbitrary norms ⋮ A spectral series approach to high-dimensional nonparametric regression ⋮ Cryo-EM reconstruction of continuous heterogeneity by Laplacian spectral volumes ⋮ ABC–CDE: Toward Approximate Bayesian Computation With Complex High-Dimensional Data and Limited Simulations ⋮ A Tale of Two Bases: Local-Nonlocal Regularization on Image Patches with Convolution Framelets ⋮ Spectral decomposition of atomic structures in heterogeneous cryo-EM
Uses Software
Cites Work
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- Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
- Local kernels and the geometric structure of data
- Semi-supervised learning on Riemannian manifolds
- Multi-kernel regularized classifiers
- Kernel density estimation on Riemannian manifolds: asymptotic results
- Data spectroscopy: eigenspaces of convolution operators and clustering
- Nonparametric curve estimation. Methods, theory, and applications
- Principal component analysis.
- Rates of strong uniform consistency for multivariate kernel density estimators. (Vitesse de convergence uniforme presque sûre pour des estimateurs à noyaux de densités multivariées)
- Local linear regression smoothers and their minimax efficiencies
- Regression on manifolds: estimation of the exterior derivative
- The Dantzig selector: statistical estimation when \(p\) is much larger than \(n\). (With discussions and rejoinder).
- Rodeo: Sparse, greedy nonparametric regression
- Diffusion maps
- Geometric harmonics: a novel tool for multiscale out-of-sample extension of empirical functions
- From graph to manifold Laplacian: the convergence rate
- Metric spaces and completely monontone functions
- Learning Theory
- Support Vector Machines
- Introduction to Semi-Supervised Learning
- Empirical graph Laplacian approximation of Laplace–Beltrami operators: Large sample results
- Some comments on Fourier analysis, uncertainty and modeling
- Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
- Spectral Connectivity Analysis
- Mercer’s Theorem, Feature Maps, and Smoothing
- Regularization and Variable Selection Via the Elastic Net
- Local Linear Regression on Manifolds and Its Geometric Interpretation
- Model Selection and Estimation in Regression with Grouped Variables
- Machine Learning: ECML 2004
- Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data
- Learning Theory
- Theory of Reproducing Kernels
- A spectral series approach to high-dimensional nonparametric regression
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