Hypergraph spectral learning for multi-label classification

A hypergraph is a generalization of the traditional graph in which the edges are arbitrary non-empty subsets of the vertex set. It has been applied successfully to capture highorder relations in various domains. In this paper, we propose a hypergraph spectral learning formulation for multi-label classification, where a hypergraph is constructed to exploit the correlation information among different labels. We show that the proposed formulation leads to an eigenvalue problem, which may be computationally expensive especially for large-scale problems. To reduce the computational cost, we propose an approximate formulation, which is shown to be equivalent to a least squares problem under a mild condition. Based on the approximate formulation, efficient algorithms for solving least squares problems can be applied to scale the formulation to very large data sets. In addition, existing regularization techniques for least squares can be incorporated into the model for improved generalization...

• Type: Conference
• Year: 2008
• Where: KDD
• Authors: Liang Sun, Shuiwang Ji, Jieping Ye
• Keywords: Approximate Formulation, Data Mining, KDD 2008, Spectral Learning Formulation, Squares Problems