{"product_id":"variational-bayesian-learning-theory-hardback-9781107076150","title":"Variational Bayesian Learning Theory (Hardback) 9781107076150","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eVariational Bayesian Learning Theory\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis introduction to the theory of variational Bayesian learning summarizes recent developments and suggests practical applications.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eShinichi Nakajima (Author), Kazuho Watanabe (Author), Masashi Sugiyama (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107076150, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 11 July 2019\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e558 pages\u003cbr\u003e23.5 x 15.6 x 3.4 cm, 0.9 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'This book is an excellent and comprehensive reference on the topic of Variational Bayes (VB) inference, which is heavily used in probabilistic machine learning. It covers VB theory and algorithms, and gives a detailed exploration of these methods for matrix factorization and extensions. It will be an essential guide for those using and developing VB methods.' Chris Williams, University of Edinburgh\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eVariational Bayesian learning is one of the most popular methods in machine learning. Designed for researchers and graduate students in machine learning, this book summarizes recent developments in the non-asymptotic and asymptotic theory of variational Bayesian learning and suggests how this theory can be applied in practice. The authors begin by developing a basic framework with a focus on conjugacy, which enables the reader to derive tractable algorithms. Next, it summarizes non-asymptotic theory, which, although limited in application to bilinear models, precisely describes the behavior of the variational Bayesian solution and reveals its sparsity inducing mechanism. Finally, the text summarizes asymptotic theory, which reveals phase transition phenomena depending on the prior setting, thus providing suggestions on how to set hyperparameters for particular purposes. Detailed derivations allow readers to follow along without prior knowledge of the mathematical techniques specific to Bayesian learning.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Bayesian learning\u003cbr\u003e 2. Variational Bayesian learning\u003cbr\u003e 3. VB algorithm for multi-linear models\u003cbr\u003e 4. VB Algorithm for latent variable models\u003cbr\u003e 5. VB algorithm under No Conjugacy\u003cbr\u003e 6. Global VB solution of fully observed matrix factorization\u003cbr\u003e 7. Model-induced regularization and sparsity inducing mechanism\u003cbr\u003e 8. Performance analysis of VB matrix factorization\u003cbr\u003e 9. Global solver for matrix factorization\u003cbr\u003e 10. Global solver for low-rank subspace clustering\u003cbr\u003e 11. Efficient solver for sparse additive matrix factorization\u003cbr\u003e 12. MAP and partially Bayesian learning\u003cbr\u003e 13. Asymptotic Bayesian learning theory\u003cbr\u003e 14. Asymptotic VB theory of reduced rank regression\u003cbr\u003e 15. Asymptotic VB theory of mixture models\u003cbr\u003e 16. Asymptotic VB theory of other latent variable models\u003cbr\u003e 17. Unified theory.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Science: general issues [\u003ca title=\"See our other books on Science: general issues\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Science:%20general%20issues%20%5BPD%5D%22\"\u003ePD\u003c\/a\u003e], Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002553618712,"sku":"9781107076150","price":99.89,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107076150i.jpg?v=1694545913","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/variational-bayesian-learning-theory-hardback-9781107076150","provider":"Freshly Printed Books","version":"1.0","type":"link"}