Constrained spectral clustering via multi-layer graph embeddings on a Grassmann manifold

• Autorzy: Trokicić Aleksandar , Todorović Branimir

Identyfikatory

DOI

10.2478/amcs-2019-0010

• Języki publikacji: EN

Abstrakty

EN

We present two algorithms in which constrained spectral clustering is implemented as unconstrained spectral clustering on a multi-layer graph where constraints are represented as graph layers. By using the Nystrom approximation in one of the algorithms, we obtain time and memory complexities which are linear in the number of data points regardless of the number of constraints. Our algorithms achieve superior or comparative accuracy on real world data sets, compared with the existing state-of-the-art solutions. However, the complexity of these algorithms is squared with the number of vertices, while our technique, based on the Nyström approximation method, has linear time complexity. The proposed algorithms efficiently use both soft and hard constraints since the time complexity of the algorithms does not depend on the size of the set of constraints.

Słowa kluczowe

EN

spectral clustering; constrained clustering; multilayer graph; Grassmann manifold; Nyström method; Laplacian matrix

PL

grupowanie widmowe; graf wielowarstwowy; metoda Nyströma; macierz Laplaciana

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2019
• Tom: Vol. 29, no. 1
• Strony: 125--137
• Opis fizyczny: Bibliogr. 24 poz., tab., wykr.

Twórcy

autor

Trokicić Aleksandar

• Department of Computer Science, University of Niš, Višegradska 33, 18000 Niš, Serbia

autor

Todorović Branimir

• Department of Computer Science, University of Niš, Višegradska 33, 18000 Niš, Serbia

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).