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The best least absolute deviation hyperplane - properties and efficient methods (CROSBI ID 547463)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | domaća recenzija

Scitovski, Rudolf ; Sabo, Kristian ; Kuzmanović, Ivana ; Vazler, Ivan ; Cupec, Robert ; Grbić, Ratko The best least absolute deviation hyperplane - properties and efficient methods. 2008

Podaci o odgovornosti

Scitovski, Rudolf ; Sabo, Kristian ; Kuzmanović, Ivana ; Vazler, Ivan ; Cupec, Robert ; Grbić, Ratko

engleski

The best least absolute deviation hyperplane - properties and efficient methods

For the given set of data-points, the problems of determining the best Least Absolute Deviations (LAD) line in the plane, and the best LAD-plane in the space are considered. This problem could be naturally extended to determination of the best LAD hyperplane. Such problems naturally appear in various applied researches, such as robotics. Thereby, the given set of data-points could be extremely great (about 100, 000), and among the data a significant number of outliers (wild points) might occur. It is a motivation for application of the l1 norm for parameter estimation. It is generally agreed that this principle was proposed by the Croatian mathematician J. R. Bošković in the mid-eighteenth century.

least absolute deviations; LAD; l1-norm approximation; weighted median problem

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Podaci o prilogu

2008.

objavljeno

Podaci o matičnoj publikaciji

Podaci o skupu

4th Croatian Mathematical Congres, CroMC2008

poster

17.06.2008-20.06.2008

Osijek, Hrvatska

Povezanost rada

Matematika