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Pregled bibliografske jedinice broj: 887183

Mixture Reduction on Matrix Lie Groups


Ćesić, Josip; Marković, Ivan; Petrović, Ivan
Mixture Reduction on Matrix Lie Groups // IEEE signal processing letters, 24 (2017), 11; 1719-1723 doi:10.1109/LSP.2017.2723765 (međunarodna recenzija, članak, znanstveni)


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Naslov
Mixture Reduction on Matrix Lie Groups

Autori
Ćesić, Josip ; Marković, Ivan ; Petrović, Ivan

Izvornik
IEEE signal processing letters (1070-9908) 24 (2017), 11; 1719-1723

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Mixture reduction ; estimation on matrix Lie groups ; multitarget tracking ; probability hypothesis density filter

Sažetak
Many physical systems evolve on matrix Lie groups and mixture filtering designed for such manifolds represent an inevitable tool for challenging estimation problems. However, mixture filtering faces the issue of a constantly growing number of components, hence require appropriate mixture reduction techniques. In this letter we propose a mixture reduction approach for distributions on matrix Lie groups, called the concentrated Gaussian distributions (CGDs). This entails appropriate reparametrization of CGD parameters to compute the KL divergence, pick and merge the mixture components. Furthermore, we also introduce a multitarget tracking filter on Lie groups as a mixture filtering study example for the proposed reduction method. In particular, we implemented the probability hypothesis density filter on matrix Lie groups. We validate the filter performance using the optimal subpattern assignment metric on a synthetic dataset consisting of 100 randomly generated multitarget scenarios.

Izvorni jezik
Engleski

Znanstvena područja
Elektrotehnika, Računarstvo, Temeljne tehničke znanosti



POVEZANOST RADA


Projekti:
EK-H2020-688117 - Safe human-robot interaction in logistic applications for highly flexible warehouses (SafeLog) (EK - H2020-ICT-2015) ( POIROT)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Ivan Petrović (autor)

Avatar Url Ivan Marković (autor)

Avatar Url Josip Ćesić (autor)

Citiraj ovu publikaciju

Ćesić, Josip; Marković, Ivan; Petrović, Ivan
Mixture Reduction on Matrix Lie Groups // IEEE signal processing letters, 24 (2017), 11; 1719-1723 doi:10.1109/LSP.2017.2723765 (međunarodna recenzija, članak, znanstveni)
Ćesić, J., Marković, I. & Petrović, I. (2017) Mixture Reduction on Matrix Lie Groups. IEEE signal processing letters, 24 (11), 1719-1723 doi:10.1109/LSP.2017.2723765.
@article{article, year = {2017}, pages = {1719-1723}, DOI = {10.1109/LSP.2017.2723765}, keywords = {Mixture reduction, estimation on matrix Lie groups, multitarget tracking, probability hypothesis density filter}, journal = {IEEE signal processing letters}, doi = {10.1109/LSP.2017.2723765}, volume = {24}, number = {11}, issn = {1070-9908}, title = {Mixture Reduction on Matrix Lie Groups}, keyword = {Mixture reduction, estimation on matrix Lie groups, multitarget tracking, probability hypothesis density filter} }
@article{article, year = {2017}, pages = {1719-1723}, DOI = {10.1109/LSP.2017.2723765}, keywords = {Mixture reduction, estimation on matrix Lie groups, multitarget tracking, probability hypothesis density filter}, journal = {IEEE signal processing letters}, doi = {10.1109/LSP.2017.2723765}, volume = {24}, number = {11}, issn = {1070-9908}, title = {Mixture Reduction on Matrix Lie Groups}, keyword = {Mixture reduction, estimation on matrix Lie groups, multitarget tracking, probability hypothesis density filter} }

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


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