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Type: Journal article
Title: Context-aware hypergraph construction for robust spectral clustering
Author: Li, X.
Hu, W.
Shen, C.
Dick, A.
Zhang, Z.
Citation: IEEE Transactions on Knowledge and Data Engineering, 2013; 26(10):1-9
Publisher: IEEE
Issue Date: 2013
ISSN: 1558-2191
Statement of
Xi Li, Weiming Hu, Chunhua Shen, Anthony Dick, Zhongfei Zhang
Abstract: Spectral clustering is a powerful tool for unsupervised data analysis. In this paper, we propose a context-aware hypergraph simi- larity measure (CAHSM), which leads to robust spectral clustering in the case of noisy data. We construct three types of hypergraph—the pairwise hypergraph, the k-nearest-neighbor (kNN) hypergraph, and the high-order over-clustering hypergraph. The pairwise hypergraph captures the pairwise similarity of data points; the kNN hypergraph captures the neighborhood of each point; and the clustering hyper- graph encodes high-order contexts within the dataset. By combining the affinity information from these three hypergraphs, the CAHSM algorithm is able to explore the intrinsic topological information of the dataset. Therefore, data clustering using CAHSM tends to be more robust. Considering the intra-cluster compactness and the inter-cluster separability of vertices, we further design a discriminative hypergraph partitioning criterion (DHPC). Using both CAHSM and DHPC, a robust spectral clustering algorithm is developed. Theoretical analysis and experimental evaluation demonstrate the effectiveness and robustness of the proposed algorithm.
Keywords: Hypergraph construction
spectral clustering
graph partitioning
similarity measure
Rights: Copyright © 2014 IEEE. All rights reserved.
DOI: 10.1109/TKDE.2013.126
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