Spatially adaptive splines for statistical linear inverse problems

DOI10.1006/jmva.2001.1994zbMath1005.65053OpenAlexW2068333516MaRDI QIDQ1604621

Hervé Cardot

Publication date: 8 July 2002

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.2001.1994

zbMATH Keywords

convergencesingular valuesill-posed problemlinear operator equationsB-splinesperformancesnonparametric estimatorpenalized regression splinesstatistical linear inverse problems

Mathematics Subject Classification ID

Density estimation (62G07) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Complexity and performance of numerical algorithms (65Y20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items

Consistency of Landweber algorithm in an ill-posed problem with random data, Smoothing Parameter Selection for a Class of Semiparametric Linear Models, The L-pseudo-solution using stochastic algorithm of Landweber, Optimal nonlinear transformations of random variables, Estimation in generalized linear models for functional data via penalized likelihood, Consistency of the Tikhonov's regularization in an ill-posed problem with random data, Exponential inequalities in linear calibration problem, Varying-Coefficient Functional Linear Regression Models, Exponential Inequalities in Calibration Problems with Gaussians Errors

Uses Software

• Regularization tools
• UTV
• FITPACK

Cites Work

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