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Scalable and Flexible Unsupervised Feature Selection.

Haojie Hu1, Rong Wang2, Xiaojun Yang3

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This study introduces a flexible linearization model using anchor graphs for efficient unsupervised feature selection in large, high-dimensional datasets. The novel approach improves performance and reduces computational demands compared to existing methods.

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Area of Science:

  • Machine Learning
  • Data Science
  • Computer Vision

Background:

  • Graph-based unsupervised feature selection (GUFS) excels with high-dimensional unlabeled data.
  • Existing GUFS methods are often slow and require substantial storage for large datasets.
  • Anchor-based methods accelerate GUFS but can be limited by strict linear constraints.

Purpose of the Study:

  • To develop a more efficient and effective anchor-based graph learning model for feature selection.
  • To address the limitations of time-consumption and large storage in existing GUFS algorithms.
  • To improve the performance of anchor-based methods by introducing a flexible linearization model.

Main Methods:

  • Proposed a flexible linearization model incorporating an anchor graph and L-norm regularization.
  • Constructed an anchor-based graph Laplacian using a parameter-free adaptive neighbor assignment strategy.
  • Developed an efficient iterative algorithm to solve the optimization problem and proved its convergence.

Main Results:

  • The proposed method effectively handles large-scale datasets.
  • Demonstrated improved performance compared to existing anchor-based feature selection techniques.
  • Experiments confirmed the method's effectiveness and efficiency on public datasets.

Conclusions:

  • The novel flexible linearization model with anchor graph offers a significant advancement in GUFS.
  • The proposed approach provides an efficient and scalable solution for high-dimensional feature selection.
  • This method enhances manifold embedding structure characterization and optimizes computational performance.