Graph non-negative matrix factorization with alternative smoothed $$L_0$$ regularizations

Chen, Keyi and Che, Hangjun and Li, Xinqi and Leung, Man-Fai (2022) Graph non-negative matrix factorization with alternative smoothed $$L_0$$ regularizations. Neural Computing and Applications. ISSN 1433-3058

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Official URL: http://dx.doi.org/10.1007/s00521-022-07200-w

Abstract

Graph non-negative matrix factorization (GNMF) can discover the data’s intrinsic low-dimensional structure embedded in the high-dimensional space. So, it has superior performance for data representation and clustering. Unfortunately, it is sensitive to noise and outliers. In this paper, to improve the robustness of GNMF, l0 norm is introduced to enhance the sparsity of factorized matrices. As the discontinuity of l0 norm and minimizing it is a NP-hard problem, five functions approximating l0 norm are used to transform the problem of the sparse graph non-negative matrix factorization (SGNMF) to a global optimization problem. Finally, the multiplicative updating rules (MUR) are designed to solve the problem and the convergence of algorithm is proven. In the experiment, the accuracy and normalized mutual information of clustering results show the superior performance of SGNMF on five public datasets.

Item Type: Journal Article
Keywords: Sparse graph non-negative matrix, Alternative approximation function, Multiplicative updating rules
Faculty: Faculty of Science & Engineering
SWORD Depositor: Symplectic User
Depositing User: Symplectic User
Date Deposited: 15 Jun 2022 10:25
Last Modified: 15 Jun 2022 14:12
URI: https://arro.anglia.ac.uk/id/eprint/707687

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