<p>Existing self-representative subspace learning frameworks for joint dimensionality reduction have achieved notable success in image clustering. However, these methods often face challenges such as static low-dimensional features, information loss during mapping, and limited capture of data’s full structural detail. To address these issues, we introduce essential graph-embedded dual mapping subspace learning (EGEDMSL). EGEDMSL employs an elementary graph learning (EGL) strategy to minimize information loss while preserving data stability, adaptively capturing diverse structures within the projection space. By reconstructing projective representations in the original dimensional space, EGEDMSL retains intrinsic structural features and enhances robustness. The projection matrix is refined through a generalized Stiefel manifold, and a block-diagonal regularizer enhances the discriminative quality of the subspace. Experimental results on real datasets demonstrate that EGEDMSL significantly improves clustering performance, offering a promising approach for image clustering tasks. The code for EGEDMSL is available at <a href="https://github.com/zgt0910/EGEDMSL">https://github.com/zgt0910/EGEDMSL</a>.</p>

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Essential graph-embedded dual mapping subspace learning for enhanced image clustering

  • Gang Zhu,
  • Lixin Han,
  • Hong Yan

摘要

Existing self-representative subspace learning frameworks for joint dimensionality reduction have achieved notable success in image clustering. However, these methods often face challenges such as static low-dimensional features, information loss during mapping, and limited capture of data’s full structural detail. To address these issues, we introduce essential graph-embedded dual mapping subspace learning (EGEDMSL). EGEDMSL employs an elementary graph learning (EGL) strategy to minimize information loss while preserving data stability, adaptively capturing diverse structures within the projection space. By reconstructing projective representations in the original dimensional space, EGEDMSL retains intrinsic structural features and enhances robustness. The projection matrix is refined through a generalized Stiefel manifold, and a block-diagonal regularizer enhances the discriminative quality of the subspace. Experimental results on real datasets demonstrate that EGEDMSL significantly improves clustering performance, offering a promising approach for image clustering tasks. The code for EGEDMSL is available at https://github.com/zgt0910/EGEDMSL.