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Least absolute deviations

Known as: Sum of absolute deviations, Minimum absolute deviations, Minimum absolute deviation 
Least absolute deviations (LAD), also known as least absolute errors (LAE), least absolute value (LAV), least absolute residual (LAR), sum of… 
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Related topics

Related topics

10 relations

Broader (2)

Estimation theoryMathematical optimization
Least squaresList of numerical analysis topicsMaxima and minimaOptimality criterion

Papers overview

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Highly Cited
2019
Highly Cited
2019
Least absolute deviations estimation for uncertain regression with imprecise observations
Traditionally regression analysis answers questions about the relationships among variables based on the assumption that the… 
Highly Cited
2013
Highly Cited
2013
Uniform post-selection inference for least absolute deviation regression and other Z-estimation problems
We develop uniformly valid confidence regions for regression coefficients in a high-dimensional sparse median regression model… 
Highly Cited
2007
Highly Cited
2007
Fuzzy regression using least absolute deviation estimators
In fuzzy regression, that was first proposed by Tanaka et al. (Eur J Oper Res 40:389–396, 1989; Int Cong Appl Syst Cybern 4:2933… 
Highly Cited
2004
Highly Cited
2004
A Maximum Likelihood Approach to Least Absolute Deviation Regression
Least absolute deviation (LAD) regression is an important tool used in numerous applications throughout science and engineering… 
2002
2002
Least absolute deviations estimation via the EM algorithm
This paper derives EM and generalized EM (GEM) algorithms for calculating least absolute deviations (LAD) estimates of the… 
Highly Cited
2001
Highly Cited
2001
Least absolute deviation estimation for all-pass time series models
An autoregressive moving average model in which all of the roots of the autoregressive polynomial are reciprocals of roots of the… 
Highly Cited
2000
Highly Cited
2000
An Implementation of Logical Analysis of Data
Describes a new, logic-based methodology for analyzing observations. The key features of this "logical analysis of data" (LAD… 
Highly Cited
1999
Highly Cited
1999
A field goniometer system (FIGOS) for acquisition of hyperspectral BRDF data
A new field goniometer system (FIGOS) is introduced that allows in situ measurements of hyperspectral bidirectional reflectance… 
Highly Cited
1997
Highly Cited
1997
Logical analysis of numerical data
Abstract“Logical analysis of data” (LAD) is a methodology developed since the late eighties, aimed at discovering hidden… 
Highly Cited
1990
Highly Cited
1990
Dual method for the solution of a one-stage stochastic programming problem with random RHS obeying a discrete probability distribution
  • A. Prékopa
  • ZOR Methods Model. Oper. Res.
  • 1990
  • Corpus ID: 40757350
In this paper we present a method for the solution of a one stage stochastic programming problem, where the underlying problem is… 
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