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Low-rank tensor constrained co-regularized multi-view spectral clustering.

Huiling Xu1, Xiangdong Zhang1, Wei Xia1

  • 1State Key Laboratory of Integrated Services Networks, Xidian University, Shaanxi, 710071, China.

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|September 14, 2020
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Summary
This summary is machine-generated.

This study introduces an enhanced multi-view spectral clustering model that adaptively weights data views. The novel approach effectively utilizes tensor nuclear norms to capture complex relationships and improve clustering accuracy.

Keywords:
Multi-views learningSpectral clusteringWeighted tensor nuclear norm

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Area of Science:

  • Machine Learning
  • Data Science
  • Computer Vision

Background:

  • Graph-oriented clustering methods excel at analyzing multi-view data but often treat all views equally.
  • Existing methods neglect spatial and complementary information by processing features independently.
  • These limitations hinder the effective exploitation of complex structures within multi-view datasets.

Purpose of the Study:

  • To develop an enhanced multi-view spectral clustering model addressing limitations of current graph-based methods.
  • To improve clustering robustness and accuracy by adaptively weighting individual data views.
  • To better leverage high-order and complementary information inherent in multi-view data.

Main Methods:

  • Proposed a novel model employing a weighted tensor nuclear norm to characterize consistency among indicator matrices.
  • The weighted tensor nuclear norm explicitly captures salient differences in singular values.
  • Implemented adaptive view weighting to enhance the algorithm's robustness.

Main Results:

  • The enhanced model effectively exploits high-order and complementary information.
  • Demonstrated improved mining of consistency between indicator matrices.
  • Extensive experiments confirmed the method's efficiency and superior performance.

Conclusions:

  • The proposed weighted tensor nuclear norm effectively addresses limitations in existing multi-view spectral clustering.
  • Adaptive view weighting significantly enhances model robustness and clustering performance.
  • The method offers a powerful approach for analyzing complex multi-view data structures.