Repozytorium Uniwersytetu Zielonogórskiego udostępnia 9 313 obiektów cyfrowych
Obiekt
Tytuł: Regularized nonnegative matrix factorization: Geometrical interpretation and application to spectral unmixing
Contributor:
Makowski, Ryszard - ed. ; Zarzycki, Jan - ed.
Subtitle:
Group publication title:
Abstract:
Nonnegative Matrix Factorization (NMF) is an important tool in data spectral analysis. However, when a mixing matrix or sources are not sufficiently sparse, NMF of an observation matrix is not unique. Many numerical optimization algorithms, which assure fast convergence for specific problems, may easily get stuck into unfavorable local minima of an objective function, resulting in very low performance. ; In this paper, we discuss the Tikhonov regularized version of the Fast Combinatorial NonNegative Least Squares (FC-NNLS) algorithm (proposed by Benthem and Keenan in 2004), where the regularization parameter starts from a large value and decreases gradually with iterations. A geometrical analysis and justification of this approach are presented. The numerical experiments, carried out for various benchmarks of spectral signals, demonstrate that this kind of regularization, when applied to the FC-NNLS algorithm, is essential to obtain good performance.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 24, number 2 (2014) ; kliknij tutaj, żeby przejść
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Repozytorium > Typy utworów > Artykuły
- Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2014)
Data ostatniej modyfikacji:
Jul 14, 2025
Data dodania obiektu:
Apr 24, 2024
Liczba wyświetleń treści obiektu:
96
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/repozytorium/publication/88741
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24, number 1 (2014)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24, number 2 (2014)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24, number 3 (2014)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24, number 4 (2014)
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| Nazwa wydania | Data |
|---|---|
| Regularized nonnegative matrix factorization: Geometrical interpretation and application to spectral unmixing | Jul 14, 2025 |
Obiekty Podobne
Siwek, Krzysztof Osowski, Stanisław Szupiluk, Ryszard Korbicz, Józef (1951- ) - ed.
