A new approach to linear regression with multivariate splines

DOI10.1016/J.AUTOMATICA.2009.09.017zbMath1192.93117OpenAlexW2010629970MaRDI QIDQ976235

J. A. Mulder, Cornelis C. de Visser, Qiping Chu

Publication date: 17 June 2010

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: http://resolver.tudelft.nl/uuid:f2b6bdbd-5d11-4ec5-ac7e-d2c2ce21144c

zbMATH Keywords

parameter estimationsplinesscattered dataestimatorsfunction approximation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Estimation and detection in stochastic control theory (93E10)

Related Items (6)

Local stability analysis for large polynomial spline systems ⋮ Localised estimation and control of linear instabilities in two-dimensional wall-bounded shear flows ⋮ Differential constraints for bounded recursive identification with multivariate splines ⋮ A sparse collocation method for solving time-dependent HJB equations using multivariate \(B\)-splines ⋮ Polynomial splines of non-uniform degree on triangulations: combinatorial bounds on the dimension ⋮ Model reduction of parabolic PDEs using multivariate splines

Cites Work

• On the approximation power of bivariate splines
• Tensor-product spline interpolation to data on or near a family of lines
• Geometric interpretation of smoothness conditions of triangular polynomial patches
• Bivariate Splines of Various Degrees for Numerical Solution of Partial Differential Equations
• Spline Functions on Triangulations
• Matrix Analysis
• Generalized Least Squares
• Linear Statistical Inference and its Applications
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