On spline functions and statistical regularization of ill-posed problems

DOI10.1016/0771-050X(79)90041-XzbMath0439.65107MaRDI QIDQ1142561

S. H. Smith

Publication date: 1979

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

ill-posed problemsspline functionsBayesian methodsdata smoothingfirst kind integral equationsstatistical regularization

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Probabilistic methods, stochastic differential equations (65C99)

Related Items (4)

Theory and the methods of solution of ill-posed problems ⋮ A regularization procedure for estimating cell kinetic parameters from flow-cytometry data ⋮ Fitting simple non-tensor-product splines to scattered noisy data on Euclidean d-space ⋮ Multifactorial descriptive modelling on irregular data designs

Cites Work

• Unnamed Item
• A Mathematical Theory of Communication
• Smoothing by spline functions. II
• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Spline-Funktionen bei der Lösung von Integralgleichungen. (Spline functions for solving integral equations.)
• A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
• Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
• On the Numerical Solution of Fredholm Integral Equations of the First Kind by the Inversion of the Linear System Produced by Quadrature
• SPLINE FUNCTIONS AND THE PROBLEM OF GRADUATION

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