Why Least Squares and Maximum Entropy? An Axiomatic Approach to Inference for Linear Inverse Problems

JOURNAL ARTICLE published 1 December 1991 in The Annals of Statistics

Authors: Imre Csiszar

Maximum Likelihood and Least Squares Estimation in Linear and Affine Functional Models

JOURNAL ARTICLE published 1 March 1982 in The Annals of Statistics

Authors: C. Villegas

Bayesian methods and maximum entropy for ill-posed inverse problems

JOURNAL ARTICLE published 1 February 1997 in The Annals of Statistics

Authors: F. Gamboa | E. Gassiat

Why maximum entropy? A non-axiomatic approach

PROCEEDINGS ARTICLE published 2002 in AIP Conference Proceedings

Authors: Marian Grendar

Maxentropic approach to linear inverse problems

BOOK CHAPTER published February 2011 in Series on Advances in Mathematics for Applied Sciences

Linear models, least squares, and maximum likelihood

BOOK CHAPTER published 27 April 2017 in Practical Bayesian Inference

Distributed least squares prediction for functional linear regression*

JOURNAL ARTICLE published 1 February 2022 in Inverse Problems

Research funded by National Natural Science Foundation of China (11871438)

Authors: Hongzhi Tong

On the history of maximum likelihood in relation to inverse probability and least squares

JOURNAL ARTICLE published 1 May 1999 in Statistical Science

Authors: Anders Hald

Inductive Inference and the Maximum Entropy Principle

BOOK CHAPTER published 1985 in Maximum-Entropy and Bayesian Methods in Inverse Problems

Authors: N. C. Dalkey

Geometric inference for general high-dimensional linear inverse problems

JOURNAL ARTICLE published 1 August 2016 in The Annals of Statistics

Authors: T. Tony Cai | Tengyuan Liang | Alexander Rakhlin

An Approach to Upper Bound Problems for Risks of Generalized Least Squares Estimators

JOURNAL ARTICLE published 1 June 1986 in The Annals of Statistics

Authors: Yasuyuki Toyooka | Takeaki Kariya

Linear Least Squares Problems – Singular Value Decomposition

OTHER published 16 May 2016 in Numerical Methods for Inverse Problems

Authors: Michel Kern

Robust linear least squares regression

JOURNAL ARTICLE published 1 October 2011 in The Annals of Statistics

Authors: Jean-Yves Audibert | Olivier Catoni

Maximum Entropy and Linear Inverse Problems. A Short Review

BOOK CHAPTER published 1993 in Maximum Entropy and Bayesian Methods

Authors: Ali Mohammad-Djafari

Linear Least Squares Regression

JOURNAL ARTICLE published December 1967 in The Annals of Mathematical Statistics

Authors: Geoffrey S. Watson

Interval analysis approach to rank determination in linear least squares problems

REPORT published 1 June 1980

Authors: T.A. Manteuffel

Geodesic Least Squares: Robust Regression Using Information Geometry

PROCEEDINGS ARTICLE published 27 November 2023 in The 42nd International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering

Authors: Geert Verdoolaege

Algorithms for Linear Least Squares Problems

BOOK CHAPTER published 1991 in Computer Algorithms for Solving Linear Algebraic Equations

Authors: Å. Björck

23. Linear Least Squares with Linear Inequality Constraints

BOOK CHAPTER published January 1995 in Solving Least Squares Problems

On Bootstrapping Two-Stage Least-Squares Estimates in Stationary Linear Models

JOURNAL ARTICLE published 1 September 1984 in The Annals of Statistics

Authors: D. Freedman