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Nonlinear multi-view clustering for non-negative matrix factorization.

Jinrong Cui1, Bang Liufu1, Yulu Fu2

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Summary
This summary is machine-generated.

This study introduces a novel nonlinear Non-negative Matrix Factorization (NMF) multi-view clustering framework. It enhances stability and robustness by integrating NMF principles into deep learning, outperforming existing methods.

Keywords:
Contrastive learningDifferentiable programmingMulti-view learningNon-negative matrix factorization

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Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Data Science

Background:

  • Deep multi-view clustering methods offer advanced learning capabilities but face challenges with opaque processes, stability issues, and limited nonlinear fitting.
  • Existing Non-negative Matrix Factorization (NMF) methods are often constrained by narrow parameter spaces and reduced robustness.

Purpose of the Study:

  • To develop a robust and interpretable multi-view clustering framework that addresses limitations of current deep learning and NMF approaches.
  • To enhance the nonlinear fitting capabilities and stability of deep clustering models.

Main Methods:

  • Proposed a nonlinear Non-negative Matrix Factorization (NMF) multi-view clustering framework.
  • Integrated traditional NMF optimization principles into a deep model for improved interpretability and stability.
  • Employed partially parameterized NMF iterations and a cross-view contrastive loss for enhanced nonlinear fitting, expanded parameter space, and inter-view diversity learning.

Main Results:

  • The proposed framework demonstrated enhanced stability and robustness compared to existing methods.
  • Experiments showed superior performance of the new method over state-of-the-art multi-view clustering techniques on multiple datasets.
  • The integration of NMF principles improved the interpretability of the deep clustering model.

Conclusions:

  • The developed nonlinear NMF multi-view clustering framework effectively addresses key limitations in current deep clustering methods.
  • The approach offers a more robust, stable, and interpretable solution for multi-view clustering tasks.
  • Future work could explore further enhancements in nonlinear fitting and cross-view information integration.