Trokicić, Aleksandar ; Todorović, Branimir
Contributor:Gamper, Johann - ed. ; Wrembel, Robert - ed.
Title:Constrained spectral clustering via multi-layer graph embeddings on a Grassmann manifold
Subtitle: Group publication title: Subject and Keywords:spectral clustering ; constrained clustering ; multi-layer graph ; Grassmann manifold ; Nyström method ; Laplacian matrix
Abstract: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 Nyström 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.
Publisher:Zielona Góra: Uniwersytet Zielonogórski
Date: Resource Type: DOI: Pages: Source:AMCS, volume 29, number 1 (2019) ; click here to follow the link
Language: License CC BY 4.0: Rights: