Digital Library of Zielona Góra contains 63 052 digital objects
Object
Title: Regularized nonnegative matrix factorization: Geometrical interpretation and application to spectral unmixing
Współtwórca:
Makowski, Ryszard - ed. ; Zarzycki, Jan - ed.
Podtytuł:
Tytuł publikacji grupowej:
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.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
DOI:
Strony:
Źródło:
AMCS, volume 24, number 2 (2014) ; click here to follow the link
Jezyk:
Licencja CC BY 4.0:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Typy utworów > Artykuły
- Zielonogórska Biblioteka Cyfrowa > 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)
Last modified:
Jul 14, 2025
In our library since:
Apr 24, 2024
Number of object content hits:
90
All available object's versions:
https://www.zbc.uz.zgora.pl/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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| Edition name | Date |
|---|---|
| Regularized nonnegative matrix factorization: Geometrical interpretation and application to spectral unmixing | Jul 14, 2025 |
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