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GKF-PUAL: A group kernel-free approach to positive-unlabeled learning with variable selection

Wang, Xiaoke; Zhu, Rui; Xue, Jing-Hao; (2025) GKF-PUAL: A group kernel-free approach to positive-unlabeled learning with variable selection. Information Sciences , 690 , Article 121574. 10.1016/j.ins.2024.121574. Green open access

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Abstract

Variable selection is important for classification of data with many irrelevant predicting variables, but it has not yet been well studied in positive-unlabeled (PU) learning, where classifiers have to be trained without labelled-negative instances. In this paper, we propose a group kernel-free PU classifier with asymmetric loss (GKF-PUAL) to achieve quadratic PU classification with group-lasso regularisation embedded for variable selection. We also propose a five-block algorithm to solve the optimization problem of GKF-PUAL. Our experimental results reveal the superiority of GKF-PUAL in both PU classification and variable selection, improving the baseline PUAL by more than 10% in F1-score across four benchmark datasets and removing over 70% of irrelevant variables on six benchmark datasets. The code for GKF-PUAL is at https://github.com/tkks22123/GKF-PUAL.

Type: Article
Title: GKF-PUAL: A group kernel-free approach to positive-unlabeled learning with variable selection
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.ins.2024.121574
Publisher version: https://doi.org/10.1016/j.ins.2024.121574
Language: English
Additional information: © 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Keywords: Positive-unlabeled learning, Group lasso, Kernel-free approach, Trifurcate data, Variable selection
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science
URI: https://discovery.ucl.ac.uk/id/eprint/10205774
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