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Hypergraph spectral learning for multi-label classification

Published: 24 August 2008 Publication History

Abstract

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 high-order 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 performance. We have conducted experiments using large-scale benchmark data sets, and experimental results show that the proposed hypergraph spectral learning formulation is effective in capturing the high-order relations in multi-label problems. Results also indicate that the approximate formulation is much more efficient than the original one, while keeping competitive classification performance.

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    cover image ACM Conferences
    KDD '08: Proceedings of the 14th ACM SIGKDD international conference on Knowledge discovery and data mining
    August 2008
    1116 pages
    ISBN:9781605581934
    DOI:10.1145/1401890
    • General Chair:
    • Ying Li,
    • Program Chairs:
    • Bing Liu,
    • Sunita Sarawagi
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 24 August 2008

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    Author Tags

    1. canonical correlation analysis
    2. efficiency
    3. hypergraph
    4. least squares
    5. multi-label classification
    6. regularization
    7. spectral learning

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    KDD '08 Paper Acceptance Rate 118 of 593 submissions, 20%;
    Overall Acceptance Rate 1,133 of 8,635 submissions, 13%

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    • (2024)Multi-view Mixed Attention for Contrastive Learning on HypergraphsProceedings of the 47th International ACM SIGIR Conference on Research and Development in Information Retrieval10.1145/3626772.3657897(2543-2547)Online publication date: 10-Jul-2024
    • (2024)Learning the effective order of a hypergraph dynamical systemScience Advances10.1126/sciadv.adh405310:19Online publication date: 10-May-2024
    • (2024)Complex Graph Analysis and Representation Learning: Problems, Techniques, and ApplicationsIEEE Transactions on Network Science and Engineering10.1109/TNSE.2024.341785011:5(4990-5007)Online publication date: Sep-2024
    • (2024)HGT: Transformer Architecture for Arbitrary Hypergraphs Based on P-Laplacian2024 International Joint Conference on Neural Networks (IJCNN)10.1109/IJCNN60899.2024.10650472(1-9)Online publication date: 30-Jun-2024
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