LGMar 18, 2025

Multi-label feature selection based on binary hashing learning and dynamic graph constraints

arXiv:2503.13874v1h-index: 32
Originality Incremental advance
AI Analysis

This addresses multi-label feature selection for machine learning applications, representing an incremental advance with a novel combination of techniques.

The paper tackles the problem of noise and unreliable graph structures in multi-label feature selection by introducing BHDG, which integrates binary hashing codes as pseudo-labels and dynamic graph constraints. Experiments on 10 benchmark datasets show BHDG outperforms ten state-of-the-art methods, achieving the highest overall performance ranking with an average improvement of at least 2.7 ranks per metric.

Multi-label learning poses significant challenges in extracting reliable supervisory signals from the label space. Existing approaches often employ continuous pseudo-labels to replace binary labels, improving supervisory information representation. However, these methods can introduce noise from irrelevant labels and lead to unreliable graph structures. To overcome these limitations, this study introduces a novel multi-label feature selection method called Binary Hashing and Dynamic Graph Constraint (BHDG), the first method to integrate binary hashing into multi-label learning. BHDG utilizes low-dimensional binary hashing codes as pseudo-labels to reduce noise and improve representation robustness. A dynamically constrained sample projection space is constructed based on the graph structure of these binary pseudo-labels, enhancing the reliability of the dynamic graph. To further enhance pseudo-label quality, BHDG incorporates label graph constraints and inner product minimization within the sample space. Additionally, an $l_{2,1}$-norm regularization term is added to the objective function to facilitate the feature selection process. The augmented Lagrangian multiplier (ALM) method is employed to optimize binary variables effectively. Comprehensive experiments on 10 benchmark datasets demonstrate that BHDG outperforms ten state-of-the-art methods across six evaluation metrics. BHDG achieves the highest overall performance ranking, surpassing the next-best method by an average of at least 2.7 ranks per metric, underscoring its effectiveness and robustness in multi-label feature selection.

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