Nonlinear orthogonal series estimates for random design regression
From MaRDI portal
Publication:1399276
DOI10.1016/S0378-3758(02)00158-1zbMath1016.62040OpenAlexW2040638758MaRDI QIDQ1399276
Publication date: 30 July 2003
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0378-3758(02)00158-1
rate of convergenceconsistencyleast squaresregressionhard thresholdingcomplexity regularizationOrthogonal series estimates
Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)
Related Items
Non-parametric regression for spatially dependent data with wavelets, Orthogonal series estimates on strong spatial mixing data, Analysis of discrete \(L^2\) projection on polynomial spaces with random evaluations, Classification via local multi-resolution projections, Multivariate orthogonal series estimates for random design regression, Multiscale Methods for Data on Graphs and Irregular Multidimensional Situations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Estimation of dependences based on empirical data. Transl. from the Russian by Samuel Kotz
- Decision theoretic generalizations of the PAC model for neural net and other learning applications
- Central limit theorems for empirical measures
- Nonparametric estimation of piecewise smooth regression functions
- Risk bounds for model selection via penalization
- Random design wavelet curve smoothing
- CART and best-ortho-basis: a connection
- Interpolation methods for nonlinear wavelet regression with irregularly spaced design
- On the universal consistency of a least squares spline regression estimator
- Inequalities for uniform deviations of averages from expectations with applications to nonparametric regression
- Consistency of data-driven histogram methods for density estimation and classification
- Histogram regression estimation using data-dependent partitions
- Optimal global rates of convergence for nonparametric regression
- On the efficiency of wavelet estimators under arbitrary error distributions
- Ideal spatial adaptation by wavelet shrinkage
- Efficient agnostic learning of neural networks with bounded fan-in
- Model selection using wavelet decomposition and applications
- The Lifting Scheme: A Construction of Second Generation Wavelets
- Convergence of stochastic processes
- Nonparametric regression function estimation using interaction least squares splines and complexity regularization.
