Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.1145/3219819.3220049acmotherconferencesArticle/Chapter ViewAbstractPublication PageskddConference Proceedingsconference-collections
research-article

Multiview Clustering via Adaptively Weighted Procrustes

Published: 19 July 2018 Publication History

Abstract

In this paper, we make a multiview extension of the spectral rotation technique raised in single view spectral clustering research. Since spectral rotation is closely related to the Procrustes Analysis for points matching, we point out that classical Procrustes Average approach can be used for multiview clustering. Besides, we show that direct applying Procrustes Average (PA) in multiview tasks may not be optimal theoretically and empirically, since it does not take the clustering capacity differences of different views into consideration. Other than that, we propose an Adaptively Weighted Procrustes (AWP) approach to overcome the aforementioned deficiency. Our new AWP weights views with their clustering capacities and forms a weighted Procrustes Average problem accordingly. The optimization algorithm to solve the new model is computational complexity analyzed and convergence guaranteed. Experiments on five real-world datasets demonstrate the effectiveness and efficiency of the new models.

Supplementary Material

MP4 File (tian_multiview_clustering.mp4)

References

[1]
Arthur Asuncion and David Newman . 2007. UCI machine learning repository. (2007).
[2]
Stephen Boyd and Lieven Vandenberghe . 2004. Convex optimization. Cambridge university press.
[3]
Xiao Cai, Feiping Nie, Heng Huang, and Farhad Kamangar . 2011. Heterogeneous image feature integration via multi-modal spectral clustering Computer Vision and Pattern Recognition (CVPR), 2011 IEEE Conference on. IEEE, 1977--1984.
[4]
Tat-Seng Chua, Jinhui Tang, Richang Hong, Haojie Li, Zhiping Luo, and Yantao Zheng . 2009. NUS-WIDE: a real-world web image database from National University of Singapore Proceedings of the ACM international conference on image and video retrieval. ACM, 48.
[5]
Li Fei-Fei, Rob Fergus, and Pietro Perona . 2007. Learning generative visual models from few training examples: An incremental bayesian approach tested on 101 object categories. Computer vision and Image understanding Vol. 106, 1 (2007), 59--70.
[6]
Jerome Friedman, Trevor Hastie, and Robert Tibshirani . 2001. The elements of statistical learning. Vol. Vol. 1. Springer series in statistics New York.
[7]
Gene H Golub and Charles F Van Loan . 2012. Matrix computations. Vol. Vol. 3. JHU Press.
[8]
Jin Huang, Feiping Nie, and Heng Huang . 2013. Spectral Rotation versus K-Means in Spectral Clustering. AAAI.
[9]
Abhishek Kumar, Piyush Rai, and Hal Daume . 2011. Co-regularized multi-view spectral clustering. In Advances in neural information processing systems. 1413--1421.
[10]
Andrew Y Ng, Michael I Jordan, and Yair Weiss . 2002. On spectral clustering: Analysis and an algorithm. In Advances in neural information processing systems. 849--856.
[11]
Feiping Nie, Guohao Cai, and Xuelong Li . 2017 a. Multi-View Clustering and Semi-Supervised Classification with Adaptive Neighbours. In AAAI. 2408--2414.
[12]
Feiping Nie, Jing Li, and Xuelong Li . 2016 a. Parameter-Free Auto-Weighted Multiple Graph Learning: A Framework for Multiview Clustering and Semi-Supervised Classification. IJCAI. 1881--1887.
[13]
Feiping Nie, Jing Li, and Xuelong Li . 2017 b. Self-weighted multiview clustering with multiple graphs Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence. 2564--2570.
[14]
Feiping Nie, Xiaoqian Wang, Michael I Jordan, and Heng Huang . 2016 b. The Constrained Laplacian Rank Algorithm for Graph-Based Clustering Thirtieth AAAI Conference on Artificial Intelligence. Citeseer.
[15]
Ferdinando S Samaria and Andy C Harter . 1994. Parameterisation of a stochastic model for human face identification Applications of Computer Vision, 1994., Proceedings of the Second IEEE Workshop on. IEEE, 138--142.
[16]
Peter H. Schonemann . 1966. A generalized solution of the orthogonal procrustes problem. Psychometrika Vol. 31, 1 (1966), 1--10.
[17]
GW Stewart and Ji-Guang Sun . 1990. Matrix Perturbation Theory (Computer Science and Scientific Computing). (1990).
[18]
Ulrike Von Luxburg . 2007. A tutorial on spectral clustering. Statistics and computing Vol. 17, 4 (2007), 395--416.
[19]
John Winn and Nebojsa Jojic . 2005. Locus: Learning object classes with unsupervised segmentation Computer Vision, 2005. ICCV 2005. Tenth IEEE International Conference on, Vol. Vol. 1. IEEE, 756--763.
[20]
Rongkai Xia, Yan Pan, Lei Du, and Jian Yin . 2014. Robust Multi-View Spectral Clustering via Low-Rank and Sparse Decomposition. AAAI. 2149--2155.
[21]
Chang Xu, Dacheng Tao, and Chao Xu . 2013. A survey on multi-view learning. arXiv preprint arXiv:1304.5634 (2013).
[22]
Xiaojin Zhu, Zoubin Ghahramani, John Lafferty, et almbox. . 2003. Semi-supervised learning using gaussian fields and harmonic functions ICML, Vol. Vol. 3. 912--919.

Cited By

View all
  • (2025)One-step multi-view spectral clustering based on multi-feature similarity fusionSignal Processing10.1016/j.sigpro.2024.109729227(109729)Online publication date: Mar-2025
  • (2025) MvWECM: Multi-view Weighted Evidential -Means clustering Pattern Recognition10.1016/j.patcog.2024.111108159(111108)Online publication date: Mar-2025
  • (2024)Community Detection in Multiplex Networks Using Orthogonal Non-Negative Matrix Tri-Factorization Based on Graph Regularization and DiversityMathematics10.3390/math1208112412:8(1124)Online publication date: 9-Apr-2024
  • Show More Cited By

Index Terms

  1. Multiview Clustering via Adaptively Weighted Procrustes

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image ACM Other conferences
    KDD '18: Proceedings of the 24th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining
    July 2018
    2925 pages
    ISBN:9781450355520
    DOI:10.1145/3219819
    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]

    Sponsors

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 19 July 2018

    Permissions

    Request permissions for this article.

    Check for updates

    Author Tags

    1. clustering
    2. multiview data
    3. procrustes analysis

    Qualifiers

    • Research-article

    Funding Sources

    Conference

    KDD '18
    Sponsor:

    Acceptance Rates

    KDD '18 Paper Acceptance Rate 107 of 983 submissions, 11%;
    Overall Acceptance Rate 1,133 of 8,635 submissions, 13%

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Downloads (Last 12 months)147
    • Downloads (Last 6 weeks)7
    Reflects downloads up to 25 Dec 2024

    Other Metrics

    Citations

    Cited By

    View all
    • (2025)One-step multi-view spectral clustering based on multi-feature similarity fusionSignal Processing10.1016/j.sigpro.2024.109729227(109729)Online publication date: Mar-2025
    • (2025) MvWECM: Multi-view Weighted Evidential -Means clustering Pattern Recognition10.1016/j.patcog.2024.111108159(111108)Online publication date: Mar-2025
    • (2024)Community Detection in Multiplex Networks Using Orthogonal Non-Negative Matrix Tri-Factorization Based on Graph Regularization and DiversityMathematics10.3390/math1208112412:8(1124)Online publication date: 9-Apr-2024
    • (2024)High-order graph fusion for multi-viewclusteringSCIENTIA SINICA Informationis10.1360/SSI-2023-021754:9(2098)Online publication date: 10-Sep-2024
    • (2024)Adaptive Instance-wise Multi-view ClusteringProceedings of the 32nd ACM International Conference on Multimedia10.1145/3664647.3681335(5299-5307)Online publication date: 28-Oct-2024
    • (2024)One-Stage Fair Multi-View Spectral ClusteringProceedings of the 32nd ACM International Conference on Multimedia10.1145/3664647.3681162(1407-1416)Online publication date: 28-Oct-2024
    • (2024)NOODLE: Joint Cross-View Discrepancy Discovery and High-Order Correlation Detection for Multi-View Subspace ClusteringACM Transactions on Knowledge Discovery from Data10.1145/365330518:6(1-23)Online publication date: 29-Apr-2024
    • (2024)A Survey and an Empirical Evaluation of Multi-View Clustering ApproachesACM Computing Surveys10.1145/364510856:7(1-38)Online publication date: 8-Feb-2024
    • (2024)Topology-Driven Multi-View Clustering via Tensorial Refined Sigmoid Rank MinimizationProceedings of the 30th ACM SIGKDD Conference on Knowledge Discovery and Data Mining10.1145/3637528.3672070(920-931)Online publication date: 25-Aug-2024
    • (2024)Tensorized Unaligned Multi-view Clustering with Multi-scale Representation LearningProceedings of the 30th ACM SIGKDD Conference on Knowledge Discovery and Data Mining10.1145/3637528.3671689(1246-1256)Online publication date: 25-Aug-2024
    • Show More Cited By

    View Options

    Login options

    View options

    PDF

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media