Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy

A new look at the statistical model identification

1974 • 46,507 citations

Theory of reproducing kernels

1950 • 5,361 citations

Smoothing by spline functions

1967 • 2,217 citations

A Technique for the Numerical Solution of Certain Integral Equations of the First Kind

1962 • 2,001 citations

Smoothing noisy data with spline functions

1975 • 1,496 citations

On the Numerical Solution of Fredholm Integral Equations of the First Kind by the Inversion of the Linear System Produced by Quadrature

1963 • 954 citations

REGULARIZATION OF INCORRECTLY POSED PROBLEMS

1963 • 890 citations

Well-posed stochastic extensions of ill-posed linear problems

1970 • 560 citations

A completely automatic french curve: fitting spline functions by cross validation

1975 • 365 citations

Evaluation of Noisy Data

1964 • 307 citations

Numerical Differentiation and Regularization

1971 • 202 citations

Probability theory : foundations, random sequences

1955 • 176 citations

Numerical differentiation procedures for non-exact data

1974 • 164 citations

Generalized Inverses in Reproducing Kernel Spaces: An Approach to Regularization of Linear Operator Equations

1974 • 118 citations

Statistical Estimation of the Numerical Solution of a Fredholm Integral Equation of the First Kind

1968 • 116 citations

A SURVEY OF SOME SMOOTHING PROBLEMS AND THE METHOD OF GENERALIZED CROSS-VALIDATION FOR SOLVING THEM.

1977 • 114 citations

Convergence rates of approximate least squares solutions of linear integral and operator equations of the first kind

1974 • 95 citations

A Time Series Approach To Numerical Differentiation

1974 • 84 citations

Numerical solution of Fredholm integral equations of first kind

1964 • 84 citations

The approximate solution of Fredholm integral equations of the first kind

1964 • 75 citations

Periodic splines for spectral density estimation: the use of cross validation for determining the degree of smoothing

1975 • 72 citations

Convergence rates of certain approximate solutions to Fredholm integral equations of the first kind

1973 • 70 citations

Optimal Smoothing of Density Estimates

1977 • 47 citations

A class of approximate solutions to linear operator equations

1973 • 36 citations

Numerical parameter selection algorithms in the regularization method

1973 • 8 citations

The approximate solution of equations of the first kind

1973 • 3 citations