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Learning Through Deterministic Assignment of Hidden Parameters
Fang, Jian1; Lin SB(林绍波)2,3; Xu ZB(徐宗本)1
Source PublicationIEEE Transactions on Cybernetics
Indexed ByEI
EI Accession number20185206300246
Contribution Rank2
Funding OrganizationNational Natural Science Foundation of China under Grant 61876133 and Grant 11771021 ; State Key Laboratory of Robotics (2018-05)
KeywordBright parameters hidden parameters learning rate neural networks supervised learning
AbstractSupervised learning frequently boils down to determining hidden and bright parameters in a parameterized hypothesis space based on finite input-output samples. The hidden parameters determine the nonlinear mechanism of an estimator, while the bright parameters characterize the linear mechanism. In a traditional learning paradigm, hidden and bright parameters are not distinguished and trained simultaneously in one learning process. Such a one-stage learning (OSL) brings a benefit of theoretical analysis but suffers from the high computational burden. In this paper, we propose a two-stage learning scheme, learning through deterministic assignment of hidden parameters (LtDaHPs), suggesting to deterministically generate the hidden parameters by using minimal Riesz energy points on a sphere and equally spaced points in an interval. We theoretically show that with such a deterministic assignment of hidden parameters, LtDaHP with a neural network realization almost shares the same generalization performance with that of OSL. Then, LtDaHP provides an effective way to overcome the high computational burden of OSL. We present a series of simulations and application examples to support the outperformance of LtDaHP.
Document Type期刊论文
Corresponding AuthorLin SB(林绍波)
Affiliation1.School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710048, China.
2.Department of Mathematics, Wenzhou University, Wenzhou 325035, China
3.State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China (e-mail:
Recommended Citation
GB/T 7714
Fang, Jian,Lin SB,Xu ZB. Learning Through Deterministic Assignment of Hidden Parameters[J]. IEEE Transactions on Cybernetics,2018:1-14.
APA Fang, Jian,Lin SB,&Xu ZB.(2018).Learning Through Deterministic Assignment of Hidden Parameters.IEEE Transactions on Cybernetics,1-14.
MLA Fang, Jian,et al."Learning Through Deterministic Assignment of Hidden Parameters".IEEE Transactions on Cybernetics (2018):1-14.
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