Further advances on Bayesian Ying-Yang harmony learning
After a short tutorial on the fundamentals of Bayes approaches and Bayesian Ying-Yang (BYY) harmony learning, this paper introduces new progresses. A generic information harmonising dynamics of BYY harmony learning is proposed with the help of a Lagrange variety preservation principle, which provide...
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| Published in: | Applied informatics Vol. 2; no. 1; pp. 1 - 45 |
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| Format: | Journal Article |
| Language: | English |
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Berlin/Heidelberg
Springer Berlin Heidelberg
13.06.2015
Springer Nature B.V |
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| ISSN: | 2196-0089, 2196-0089 |
| Online Access: | Get full text |
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| Abstract | After a short tutorial on the fundamentals of Bayes approaches and Bayesian Ying-Yang (BYY) harmony learning, this paper introduces new progresses. A generic information harmonising dynamics of BYY harmony learning is proposed with the help of a Lagrange variety preservation principle, which provides Lagrange-like implementations of Ying-Yang alternative nonlocal search for various learning tasks and unifies attention, detection, problem-solving, adaptation, learning and model selection from an information harmonising perspective. In this framework, new algorithms are developed to implement Ying-Yang alternative nonlocal search for learning Gaussian mixture and several typical exemplars of linear matrix system, including factor analysis (FA), mixture of local FA, binary FA, nonGaussian FA, de-noised Gaussian mixture, sparse multivariate regression, temporal FA and temporal binary FA, as well as a generalised bilinear matrix system that covers not only these linear models but also manifold learning, gene regulatory networks and the generalised linear mixed model. These algorithms are featured with a favourable nature of automatic model selection and a unified formulation in performing unsupervised learning and semi-supervised learning. Also, we propose a principle of preserving multiple convex combinations, which leads alternative search algorithms. Finally, we provide a chronological outline of the history of BYY learning studies. |
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| AbstractList | After a short tutorial on the fundamentals of Bayes approaches and Bayesian Ying-Yang (BYY) harmony learning, this paper introduces new progresses. A generic information harmonising dynamics of BYY harmony learning is proposed with the help of a Lagrange variety preservation principle, which provides Lagrange-like implementations of Ying-Yang alternative nonlocal search for various learning tasks and unifies attention, detection, problem-solving, adaptation, learning and model selection from an information harmonising perspective. In this framework, new algorithms are developed to implement Ying-Yang alternative nonlocal search for learning Gaussian mixture and several typical exemplars of linear matrix system, including factor analysis (FA), mixture of local FA, binary FA, nonGaussian FA, de-noised Gaussian mixture, sparse multivariate regression, temporal FA and temporal binary FA, as well as a generalised bilinear matrix system that covers not only these linear models but also manifold learning, gene regulatory networks and the generalised linear mixed model. These algorithms are featured with a favourable nature of automatic model selection and a unified formulation in performing unsupervised learning and semi-supervised learning. Also, we propose a principle of preserving multiple convex combinations, which leads alternative search algorithms. Finally, we provide a chronological outline of the history of BYY learning studies. |
| ArticleNumber | 5 |
| Author | Xu, Lei |
| Author_xml | – sequence: 1 givenname: Lei surname: Xu fullname: Xu, Lei email: lxu@cse.cuhk.edu.hk organization: Department of Computer Science and Engineering, The Chinese University of Hong Kong, Department of Computer Science and Engineering, The Key Laboratory of Shanghai Education Commission for Intelligent Interaction and Cognitive Engineering, Shanghai Jiao Tong University |
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| Cites_doi | 10.1038/nmeth.2848 10.1016/j.neucom.2012.12.069 10.1038/ng.2876 10.1109/TAC.1974.1100705 10.1007/978-94-015-8480-7 10.1007/BF02294359 10.1162/neco.1996.8.1.129 10.1073/pnas.2136632100 10.1016/S0893-6080(02)00084-9 10.1093/comjnl/42.4.270 10.1038/nrm2503 10.1038/nrg3244 10.1080/00949659908811970 10.1016/j.csda.2013.04.005 10.1007/978-1-4615-2025-2_5 10.1111/1467-9868.00196 10.1016/j.neucom.2013.09.061 10.1007/978-1-4615-6131-6 10.1038/nrg3722 10.1162/089976603321780317 10.1007/BF02293851 10.1098/rspa.1946.0056 10.1214/aos/1176344611 10.1214/aos/1176344136 10.1016/j.csda.2006.07.020 10.1023/A:1007665907178 10.1016/j.laa.2012.07.001 10.1145/361573.361582 10.1162/neco.1995.7.5.889 10.1016/0005-1098(78)90005-5 10.1038/nmeth.2815 10.1007/978-3-642-36669-7_87 10.1007/978-3-540-68860-0_3 10.1109/72.238318 10.1109/18.720554 10.1007/s11460-011-0135-1 10.1007/s11460-011-0149-8 10.1137/1026034 10.1109/34.990138 10.1515/jib-2012-198 10.1109/TSP.2010.2088391 10.1111/j.2517-6161.1996.tb02080.x 10.1007/s10898-008-9364-0 10.1016/S0925-2312(98)00051-4 10.1142/S0129065701000497 10.1016/S0925-2312(97)00091-X 10.1007/s11460-011-0153-z 10.1109/ICPR.1992.201826 10.1080/00031305.1985.10479425 10.1007/s11460-010-0108-9 10.1007/3-540-44491-2_18 10.1016/S0167-8655(97)00121-9 10.1111/j.2517-6161.1977.tb01600.x 10.1109/TNN.2004.828767 10.1007/s11460-011-0146-y 10.1007/978-1-4471-0715-6_26 10.1007/s11460-011-0150-2 10.1016/S0893-6080(03)00119-9 10.1109/CIBCB.2012.6217258 10.1186/1477-5956-9-S1-S18 10.1007/978-3-540-71984-7_14 10.1109/72.935094 10.1016/j.patcog.2006.12.016 10.1109/78.847796 10.1007/s11460-012-0190-2 10.1109/TNN.2004.833302 |
| ContentType | Journal Article |
| Copyright | Xu. 2015. This is an Open Access article distributed under the terms of the Creative Commons Attribution License( ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Applied Informatics is a copyright of Springer, (2015). All Rights Reserved. |
| Copyright_xml | – notice: Xu. 2015. This is an Open Access article distributed under the terms of the Creative Commons Attribution License( ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. – notice: Applied Informatics is a copyright of Springer, (2015). All Rights Reserved. |
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| Keywords | nonGaussian factors Factor analysis Binary factors Lagrange Multivariate regression Ying-Yang alternation Bilinear matrix system Local factors Linear mixed model Automatic model selection Temporal factors De-noised Gaussian mixture Variety preservation |
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| SubjectTerms | Algorithms Artificial Intelligence Bayesian analysis Bioinformatics Computer Applications Computer Imaging Computer Science Factor analysis Health Informatics Health Sciences Machine learning Manifolds (mathematics) Mathematical analysis Matrix methods Medicine Pattern Recognition and Graphics Problem solving Regression analysis Search algorithms Statistics for Life Sciences Vision |
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| Title | Further advances on Bayesian Ying-Yang harmony learning |
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