UM
Learning with Coefficient-Based Regularized Regression on Markov Resampling
Li L.3; Li W.3; Zou B.3; Wang Y.4; Tang Y.Y.1; Han H.2
2018-09-01
Source PublicationIEEE Transactions on Neural Networks and Learning Systems
ISSN21622388 2162237X
Volume29Issue:9Pages:4166-4176
AbstractBig data research has become a globally hot topic in recent years. One of the core problems in big data learning is how to extract effective information from the huge data. In this paper, we propose a Markov resampling algorithm to draw useful samples for handling coefficient-based regularized regression (CBRR) problem. The proposed Markov resampling algorithm is a selective sampling method, which can automatically select uniformly ergodic Markov chain (u.e.M.c.) samples according to transition probabilities. Based on u.e.M.c. samples, we analyze the theoretical performance of CBRR algorithm and generalize the existing results on independent and identically distributed observations. To be specific, when the kernel is infinitely differentiable, the learning rate depending on the sample size m can be arbitrarily close to O(m) under a mild regularity condition on the regression function. The good generalization ability of the proposed method is validated by experiments on simulated and real data sets.
KeywordCoefficient-based regularized regression (CBRR) learning rate Markov resampling uniformly ergodic Markov chain (u.e.M.c.)
DOI10.1109/TNNLS.2017.2757140
URLView the original
Language英語
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Universidade de Macau
2.Institute of Automation Chinese Academy of Sciences
3.Hubei University
4.Chengdu University
Recommended Citation
GB/T 7714
Li L.,Li W.,Zou B.,et al. Learning with Coefficient-Based Regularized Regression on Markov Resampling[J]. IEEE Transactions on Neural Networks and Learning Systems,2018,29(9):4166-4176.
APA Li L.,Li W.,Zou B.,Wang Y.,Tang Y.Y.,&Han H..(2018).Learning with Coefficient-Based Regularized Regression on Markov Resampling.IEEE Transactions on Neural Networks and Learning Systems,29(9),4166-4176.
MLA Li L.,et al."Learning with Coefficient-Based Regularized Regression on Markov Resampling".IEEE Transactions on Neural Networks and Learning Systems 29.9(2018):4166-4176.
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