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Multilinear Multitask Learning by Rank-Product Regularization
Zhao Q(赵谦)1; Rui, Xiangyu1; Han Z(韩志)2; Meng DY(孟德宇)1,2,3
Indexed BySCI ; EI
EI Accession number20201608414415
WOS IDWOS:000525351800022
Contribution Rank2
Funding OrganizationChina NSFC ProjectNational Natural Science Foundation of China [61603292, 61661166011, 11690011, 61721002, 61773367, U1811461] ; Youth Innovation Promotion Association of the Chinese Academy of Sciences [2016183] ; State Key Laboratory of Robotics [2017-O09]
KeywordMultilinear multitask learning (MTL) rank product tensor sparsity

Multilinear multitask learning (MLMTL) considers an MTL problem in which tasks are arranged by multiple indices. By exploiting the higher order correlations among the tasks, MLMTL is expected to improve the performance of traditional MTL, which only considers the first-order correlation across all tasks, e.g., low-rank structure of the coefficient matrix. The key to MLMTL is designing a rational regularization term to represent the latent correlation structure underlying the coefficient tensor instead of matrix. In this paper, we propose a new MLMTL model by employing the rank-product regularization term in the objective, which on one hand can automatically rectify the weights along all its tensor modes and on the other hand have an explicit physical meaning. By using this regularization, the intrinsic high-order correlations among tasks can be more precisely described, and thus, the overall performance of all tasks can be improved. To solve the resulted optimization model, we design an efficient algorithm by applying the alternating direction method of multipliers (ADMM). We also analyze the convergence and show that the proposed algorithm, with certain restriction, is asymptotically regular. Experiments on both synthetic and real data sets substantiate the superiority of the proposed method beyond the existing MLMTL methods in terms of accuracy and efficiency.

WOS SubjectComputer Science, Artificial Intelligence ; Computer Science, Hardware & Architecture ; Computer Science, Theory & Methods ; Engineering, Electrical & Electronic
WOS Research AreaComputer Science ; Engineering
Funding ProjectChina NSFC Project[61603292] ; China NSFC Project[61661166011] ; China NSFC Project[11690011] ; China NSFC Project[61721002] ; China NSFC Project[61773367] ; China NSFC Project[U1811461] ; Youth Innovation Promotion Association of the Chinese Academy of Sciences[2016183] ; State Key Laboratory of Robotics[2017-O09]
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Document Type期刊论文
Corresponding AuthorMeng DY(孟德宇)
Affiliation1.School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang 110168, China
2.State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China
3.Department of Neurology, People's Hospital of Liaoning Province, Shenyang 110016, China
4.School of Electromechanical and Automotive Engineering, Yantai University, Yantai 264005, China
Recommended Citation
GB/T 7714
Zhao Q,Rui, Xiangyu,Han Z,et al. Multilinear Multitask Learning by Rank-Product Regularization[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,2020,31(4):1336-1350.
APA Zhao Q,Rui, Xiangyu,Han Z,&Meng DY.(2020).Multilinear Multitask Learning by Rank-Product Regularization.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,31(4),1336-1350.
MLA Zhao Q,et al."Multilinear Multitask Learning by Rank-Product Regularization".IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 31.4(2020):1336-1350.
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