Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
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Publication:1246243
DOI10.1007/BF01404567zbMath0377.65007OpenAlexW3000332379MaRDI QIDQ1246243
Publication date: 1979
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/132586
Numerical smoothing, curve fitting (65D10) Numerical mathematical programming methods (65K05) Monte Carlo methods (65C05) Spline approximation (41A15)
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long gaps, A new variable selection method for uniform designs, Smoothed functional canonical correlation analysis of humidity and temperature data, Estimation and Inference for Generalized Geoadditive Models, Partially linear models and their applications to change point detection of chemical process data, An evaluation of ridge estimator in linear mixed models: an example from kidney failure data, MARS as an alternative approach of Gaussian graphical model for biochemical networks, Lasso-type estimation for covariate-adjusted linear model, A functional data approach to model score difference process in professional basketball games, Smoothing parameter selection methods for nonparametric regression with spatially correlated errors, A Comparison of Two Bandwidth Selectors OSCV and AICc in Nonparametric Regression, Local influence for elliptical partially varying-coefficient model, Improved local quantile regression, A Marginal Approach to Reduced-Rank Penalized Spline Smoothing With Application to Multilevel Functional Data, Using semiparametric‐mixed model and functional linear model to detect vulnerable prenatal window to carcinogenic polycyclic aromatic hydrocarbons on fetal growth, The effects of nonnormality on the analysis of supersaturated designs: a comparison of stepwise, SCAD and permutation test methods, Low‐Rank Smoothing Splines on Complicated Domains, Estimating option implied risk‐neutral densities using spline and hypergeometric functions, A stochastic estimator of the trace of the influence matrix for laplacian smoothing splines, Applications of Additive Semivarying Coefficient Models: Monthly Suicide Data from Hong Kong, Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization, Estimating the accuracy of (local) cross-validation via randomised GCV choices in kernel or smoothing spline regression, Variable selection in partially linear wavelet models, Prediction risk for the horseshoe regression, A simple and effective bandwidth selector for local polynomial quasi-likelihood regression, A Method for Analyzing Supersaturated Designs with a Block Orthogonal Structure, Modified estimators in semiparametric regression models with right-censored data, A simultaneous variable selection methodology for linear mixed models, The smoothing parameter, confidence interval and robustness for smoothing splines, A permutation approach to validation*, Modeling supernovae light curves: An application of hierarchical smoothing splines, Smooth models of mortality with period shocks, P-spline ANOVA-type interaction models for spatio-temporal smoothing, Use of auxiliary data in semi-parametric spatial regression with nonignorable missing responses, Using a latent variable model with non-constant factor loadings to examine PM2.5 constituents related to secondary inorganic aerosols, Several nonparametric and semiparametric approaches to linear mixed model regression, Nonparametric regression estimators in complex surveys, On the dynamics of air bubbles in Rayleigh–Bénard convection, A new information criterion-based bandwidth selection method for non-parametric regressions, Detecting Pulsatile Hormone Secretions Using Nonlinear Mixed Effects Partial Spline Models, Two-stage signal restoration based on a modified median filter, Generalized spatial regression with differential regularization, Performance of Wald-type estimator for parametric component in partial linear regression with a mixture of Berkson and classical error models, Smoothing Splines with Boundary Correction, Mapping Return Values of Extreme Wind Speeds, Estimating the Nonparametric Regression Function by Using Padé Approximation Based on Total Least Squares, Bayesian Inference of Autoregressive and Functional-Coefficient Moving Average Models, Interpolating minimal energy C1‐Surfaces on <scp>P</scp>owell–<scp>S</scp>abin Triangulations: Application to the resolution of elliptic problems, Outlier Resistant Estimation in Difference-Based Semiparametric Partially Linear Models, Application of Tikhonov regularization to reconstruct past climate record from borehole temperature, Bayesian analysis for quantile smoothing spline, Whiteness-based parameter selection for Poisson data in variational image processing, A fuzzy nonparametric regression model based on an extended center and range method, Estimation for the Cox model with biased sampling data via risk set sampling, Variable selection using the EM and CEM algorithms in mixtures of linear mixed models, Simultaneous variable selection and estimation for joint models of longitudinal and failure time data with interval censoring, Doubly robust weighted composite quantile regression based on SCAD‐L2, Variable selection for proportional hazards models with high‐dimensional covariates subject to measurement error, Computationally efficient techniques for spatial regression with differential regularization, Impact of misspecifying spatial exposures in a generalized additive modeling framework: with application to the study of the dynamics of Comandra blister rust in British Columbia, A stabilized and versatile spatial prediction method for geostatistical models, Methods for Scalar‐on‐Function Regression, Penalized joint generalized estimating equations for longitudinal binary data, Identification of immune response combinations associated with heterogeneous infection risk in the immune correlates analysis of HIV vaccine studies, Basis expansion approaches for functional analysis of variance with repeated measures, A Reproducing Kernel Hilbert Space Approach to Functional Calibration of Computer Models, Nonparametric inference on smoothed quantile regression process, Tuning parameter selection for penalized estimation via \(R^2\), A nonparametric predictive regression model using partitioning estimators based on Taylor expansions, Spline manipulations for empirical mode decomposition (EMD) on bounded intervals and beyond, Fast algorithms for interpolation and smoothing for a general class of fourth order exponential splines, ADMM-based residual whiteness principle for automatic parameter selection in single image super-resolution problems, Influence measures in nonparametric regression model with symmetric random errors, Approximation of the Tikhonov regularization parameter through Aitken's extrapolation, A penalized least product relative error loss function based on wavelet decomposition for non-parametric multiplicative additive models, Conjugate priors and bias reduction for logistic regression models, Improved Small Domain Estimation via Compromise Regression Weights, Parameter Selection in Gaussian Process Interpolation: An Empirical Study of Selection Criteria, Sieve bootstrap inference for linear time-varying coefficient models, Tuning parameter selection for nonparametric derivative estimation in random design, Unnamed Item, Spatial Regression With Partial Differential Equation Regularisation, Fast spline smoothing via spectral factorization concepts, Smoothing noisy data with spline functions, Smooth fitting with a method for determining the regularization parameter under the genetic programming algorithm, Plug-in bandwidth choice in partial linear models with autoregressive errors, Shape constrained additive models, The EBIC and a sequential procedure for feature selection in interactive linear models with high-dimensional data, Inference of the Trend in a Partially Linear Model with Locally Stationary Regressors, Algorithm 1023: Restoration of Function by Integrals with Cubic Integral Smoothing Spline in R, A comparison of parameter estimation in function-on-function regression, Masked unbiased principles for parameter selection in variational image restoration under Poisson noise, Comment on: ``Local quantile regression, Reproducing Kernel Hilbert Spaces for Penalized Regression: A Tutorial
Cites Work
- Unnamed Item
- Unnamed Item
- Smoothing by spline functions. II
- Smoothing by spline functions.
- Singular value decomposition and least squares solutions
- Approximation by periodic spline interpolants on uniform meshes
- Convergence rates of certain approximate solutions to Fredholm integral equations of the first kind
- Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
- A completely automatic french curve: fitting spline functions by cross validation
- Periodic splines for spectral density estimation: the use of cross validation for determining the degree of smoothing
- Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
- SPLINE FUNCTIONS AND THE PROBLEM OF GRADUATION
- A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines
- Some Comments on C P
- Theory of Reproducing Kernels
- Smoothing noisy data with spline functions