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Multi-view hypergraph learning by patch alignment framework.pdf
Neurocomputing 118 (2013) 79–86
Contents lists available at SciVerse ScienceDirect
Neurocomputing
journal homepage: /locate/neucom
Multi-view hypergraph learning by patch alignment framework
Chaoqun Hong a, Jun Yu b,c,n, Jonathan Li b,c, Xuhui Chen a
a Faculty of Computer Science, Xiamen University of Technology, Xiamen, Fujian 361024, China b Department of Computer Science, Xiamen University, Xiamen, Fujian 361005, China c Key Laboratory for Underwater Acoustic Communication and Marine Information Technology (Xiamen University), Ministry of Education, Xiamen University, Xiamen, Fujian 361005, China
article info
Article history: Received 29 September 2012 Received in revised form 4 January 2013 Accepted 5 February 2013 Communicated by M. Wang Available online 28 February 2013
Keywords: Dimensionality reduction Hypergraph Multi-view learning Patch alignment framework
abstract
Graph-based methods are currently popular for dimensionality reduction. However, most of them suffer from over-simpli?ed assumption of pairwise relationships among data. Especially for multi-view data, different relationships from different views are hard to be integrated into a single graph. In this paper, we propose a novel semi-supervised dimensionality reduction method for multi-view data. First, we assume the hyperedges in hypergraph as patches and apply hypergraph to the patch alignment framework. Second, the weights of the hyperedges are computed with statistics of distances between neighboring pairs and the patches from different views are integrated. In this way, we construct Multiview Hypergraph Laplacian matrix and we get the dimensionality-reduced data by solving the standard eigen-decomposition to obtain the projection matrix. The experimental results demonstrate the effectiveness of the proposed method on retrieval performance.
2013 Elsevier B.V. All rights reserved.
1. Introduction
Images or objects could be represented by several types of features in the related researches on co
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