A Statistical Perspective on Ill-Posed Inverse Problems

Solutions of Ill-Posed Problems.

1978 • 8,291 citations

Principles of mathematical analysis

1964 • 5,515 citations

Quantitative seismology : theory and methods

1980 • 4,380 citations

Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter

1979 • 3,609 citations

Smoothing noisy data with spline functions

1978 • 3,289 citations

Optimal Control of Systems Governed by Partial Differential Equations.

1972 • 3,061 citations

Solution of incorrectly formulated problems and the regularization method

1963 • 2,355 citations

More Comments onC_p

1995 • 2,192 citations

Data Analysis and Regression.

1979 • 1,739 citations

The Resolving Power of Gross Earth Data

1968 • 1,467 citations

Uniqueness in the inversion of inaccurate gross Earth data

1970 • 1,311 citations

Some results on Tchebycheffian spline functions

1971 • 1,234 citations

An Introduction to Atmospheric Radiation

1980 • 946 citations

Papers on probability, statistics and statistical physics

1990 • 908 citations

A Statistical Model for Positron Emission Tomography

1985 • 810 citations

A Basis for the Selection of a Response Surface Design

1959 • 689 citations

Bandwidth Choice for Nonparametric Regression

1984 • 685 citations

LINPACK User's Guide.

1980 • 659 citations

Non-parametric Roughness Penalty for Probability Densities

1971 • 425 citations

Improperly Posed Problems in Partial Differential Equations

1975 • 344 citations

The method of quasi-reversibility : applications to partial differential equations

1969 • 299 citations

Experimental Design: Review and Comment

1984 • 295 citations

Automatic Smoothing of Regression Functions in Generalized Linear Models

1986 • 270 citations

Identification of Parameters in Distributed Parameter Systems by Regularization

1985 • 249 citations

A statistical approach to the inverse problem of aquifer hydrology: 1. Theory

1979 • 235 citations

Common Structure of Smoothing Techniques in Statistics

1985 • 220 citations

Best Approximate Integration Formulas; Best Approximation Formulas

1949 • 214 citations

An Application of the Wiener-Kolmogorov Smoothing Theory to Matrix Inversion

1961 • 142 citations

Incorporation of prior information on parameters into nonlinear regression groundwater flow models: 1. Theory

1982 • 140 citations

Topics in the Investigation of Linear Relations Fitted by the Method of Least Squares

1967 • 131 citations

Physical attributes of single-photon tomography.

1980 • 92 citations

Deconvolution of Microfluorometric Histograms withBSplines

1982 • 82 citations

Error bounds for derivative estimates based on spline smoothing of exact or noisy data

1983 • 78 citations

Minimaxity of the Method of Regularization of Stochastic Processes

1982 • 72 citations

Cross-Validated Spline Methods for the Estimation of Three-Dimensional Tumor Size Distributions from Observations on Two-Dimensional Cross Sections

1984 • 72 citations

Minimum-RMS Estimation of the Numerical Solution of a Fredholm Integral Equation of the First Kind

1968 • 71 citations

An Approach to Inverse Calculation of Epicardial Potentials from Body Surface Maps1

2015 • 68 citations

A cross validated bayesian retrieval algorithm for nonlinear remote sensing experiments

1985 • 65 citations

The Retrieval of Atmospheric Profiles from VAS Geostationary Radiance Observations

1983 • 59 citations

Smoothing and Ill-Posed Problems

1979 • 36 citations

Regularization of linear operator equations

1981 • 16 citations

Optimization of spectral intervals for remote sensing of atmospheric temperature profiles

1971 • 13 citations

Multivariate thin plate spline estimates for the posterior probabilities in the classification problem

1983 • 11 citations

Remark on the Phase Problem in Crystallography

1975 • 10 citations

Design criteria and eigensequence plots for satellite computed tomography

1983 • 1 citations