Repozytorium Uniwersytetu Zielonogórskiego udostępnia 9 590 obiektów cyfrowych
Obiekt
Tytuł: Center-based l1-clustering method
Contributor:
Korbicz, Józef (1951- ) - red. ; Kowal, Marek - red.
Subtitle:
Group publication title:
Abstract:
In this paper, we consider the l1-clustering problem for a finite data-point set which should be partitioned into k disjoint nonempty subsets. In that case, the objective function does not have to be either convex or differentiable, and generally it may have many local or global minima. Therefore, it becomes a complex global optimization problem. A method of searching for a locally optimal solution is proposed in the paper, the convergence of the corresponding iterative process is proved and the corresponding algorithm is given. ; The method is illustrated by and compared with some other clustering methods, especially with the l2-clustering method, which is also known in the literature as a smooth k-means method, on a few typical situations, such as the presence of outliers among the data and the clustering of incomplete data. Numerical experiments show in this case that the proposed l1-clustering algorithm is faster and gives significantly better results than the l2-clustering algorithm.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 24, number 1 (2014) ; kliknij tutaj, żeby przejść
Language:
License CC BY 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > 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:
289
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/repozytorium/publication/88735
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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 |
|---|---|
| Center-based l1-clustering method | Jul 14, 2025 |
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