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Three points method for searching the best least absolute deviations plane (CROSBI ID 153386)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Cupec, Robert ; Grbić, Ratko ; Sabo, Kristian ; Scitovski, Rudolf Three points method for searching the best least absolute deviations plane // Applied mathematics and computation, 215 (2009), 3; 983-994

Podaci o odgovornosti

Cupec, Robert ; Grbić, Ratko ; Sabo, Kristian ; Scitovski, Rudolf

engleski

Three points method for searching the best least absolute deviations plane

In this paper a new method for estimation of optimal parameters of a best least absolute deviations plane is proposed, which is based on the fact that there always exists a best least absolute deviations plane passing through at least three different data points. The proposed method leads to a solution in finitely many steps. Moreover, a modification of the aforementioned method is proposed that is especially adjusted to the case of a large number of data and the need to estimate parameters in real time. Both methods are illustrated by numerical examples on the basis of simulated data and by one practical example from the field of robotics.

Least absolute deviations; LAD; l1-norm approximation; Weighted median problem

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Podaci o izdanju

215 (3)

2009.

983-994

objavljeno

0096-3003

Povezanost rada

Matematika

Indeksiranost