Pregled bibliografske jedinice broj: 414962
Three points method for searching the best least absolute deviations plane
Three points method for searching the best least absolute deviations plane // Applied Mathematics and Computation, 215 (2009), 3; 983-994 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 414962 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Three points method for searching the best least absolute deviations plane
Autori
Cupec, Robert ; Grbić, Ratko ; Sabo, Kristian ; Scitovski, Rudolf
Izvornik
Applied Mathematics and Computation (0096-3003) 215
(2009), 3;
983-994
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Least absolute deviations; LAD; l1-norm approximation; Weighted median problem
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-0363078-3018 - Upravljanje mobilnim robotima i vozilima u nepoznatim i dinamičkim okruženjima (Petrović, Ivan, MZO ) ( CroRIS)
165-0361621-2000 - Distribuirano računalno upravljanje u transportu i industrijskim pogonima (Hocenski, Željko, MZO ) ( CroRIS)
235-2352818-1034 - Nelinearni problemi procjene parametara u matematičkim modelima (Jukić, Dragan, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Fakultet elektrotehnike, računarstva i informacijskih tehnologija Osijek,
Sveučilište u Osijeku, Odjel za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
