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Main Authors: Gao, Wanfu, Gao, Jun, Han, Qingqi, Pan, Hanlin, Liu, Kunpeng
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.23228
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author Gao, Wanfu
Gao, Jun
Han, Qingqi
Pan, Hanlin
Liu, Kunpeng
author_facet Gao, Wanfu
Gao, Jun
Han, Qingqi
Pan, Hanlin
Liu, Kunpeng
contents The rapid growth in feature dimension may introduce implicit associations between features and labels in multi-label datasets, making the relationships between features and labels increasingly complex. Moreover, existing methods often adopt low-dimensional linear decomposition to explore the associations between features and labels. However, linear decomposition struggles to capture complex nonlinear associations and may lead to misalignment between the feature space and the label space. To address these two critical challenges, we propose innovative solutions. First, we design a random walk graph that integrates feature-feature, label-label, and feature-label relationships to accurately capture nonlinear and implicit indirect associations, while optimizing the latent representations of associations between features and labels after low-rank decomposition. Second, we align the variable spaces by leveraging low-dimensional representation coefficients, while preserving the manifold structure between the original high-dimensional multi-label data and the low-dimensional representation space. Extensive experiments and ablation studies conducted on seven benchmark datasets and three representative datasets using various evaluation metrics demonstrate the superiority of the proposed method\footnote{Code: https://github.com/Heilong623/-GRW-}.
format Preprint
id arxiv_https___arxiv_org_abs_2505_23228
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Graph Random Walk with Feature-Label Space Alignment: A Multi-Label Feature Selection Method
Gao, Wanfu
Gao, Jun
Han, Qingqi
Pan, Hanlin
Liu, Kunpeng
Machine Learning
The rapid growth in feature dimension may introduce implicit associations between features and labels in multi-label datasets, making the relationships between features and labels increasingly complex. Moreover, existing methods often adopt low-dimensional linear decomposition to explore the associations between features and labels. However, linear decomposition struggles to capture complex nonlinear associations and may lead to misalignment between the feature space and the label space. To address these two critical challenges, we propose innovative solutions. First, we design a random walk graph that integrates feature-feature, label-label, and feature-label relationships to accurately capture nonlinear and implicit indirect associations, while optimizing the latent representations of associations between features and labels after low-rank decomposition. Second, we align the variable spaces by leveraging low-dimensional representation coefficients, while preserving the manifold structure between the original high-dimensional multi-label data and the low-dimensional representation space. Extensive experiments and ablation studies conducted on seven benchmark datasets and three representative datasets using various evaluation metrics demonstrate the superiority of the proposed method\footnote{Code: https://github.com/Heilong623/-GRW-}.
title Graph Random Walk with Feature-Label Space Alignment: A Multi-Label Feature Selection Method
topic Machine Learning
url https://arxiv.org/abs/2505.23228