Naslov
The best least absolute deviation hyperplane - properties and efficient methods

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

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
4th Croatian Mathematical Congres CroMC2008

Mjesto i datum
Osijek, Hrvatska, 17.06.2008. - 20.06.2008

Vrsta sudjelovanja
Poster

Vrsta recenzije
Domaća recenzija

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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