{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,11]],"date-time":"2025-01-11T00:40:22Z","timestamp":1736556022572,"version":"3.32.0"},"publisher-location":"Berlin, Heidelberg","reference-count":12,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540454854"},{"type":"electronic","value":"9783540454878"}],"license":[{"start":{"date-parts":[[2006,1,1]],"date-time":"2006-01-01T00:00:00Z","timestamp":1136073600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11875581_17","type":"book-chapter","created":{"date-parts":[[2006,9,25]],"date-time":"2006-09-25T12:23:29Z","timestamp":1159187009000},"page":"139-146","source":"Crossref","is-referenced-by-count":1,"title":["Upper Bounds for Variational Stochastic Complexities of Bayesian Networks"],"prefix":"10.1007","author":[{"given":"Kazuho","family":"Watanabe","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Motoki","family":"Shiga","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sumio","family":"Watanabe","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"17_CR1","unstructured":"Attias, H.: Inferring parameters and structure of latent variable models by variational Bayes. In: Proc. of UAI 1999, Stockholm, Sweden, pp. 21\u201330 (1999)"},{"key":"17_CR2","unstructured":"Beal, M.J.: Variational algorithms for approximate Bayesian inference, Ph.D. Thesis, University College London (2003)"},{"key":"17_CR3","doi-asserted-by":"crossref","unstructured":"Hinton, G., van Camp, D.: Keeping neural networks simple by minimizing the description length of weights. In: Proc. of COLT 1993, Santa Cruz, USA, pp. 5\u201313 (1993)","DOI":"10.1145\/168304.168306"},{"key":"17_CR4","doi-asserted-by":"crossref","unstructured":"Hosino, T., Watanabe, S.: Stochastic complexity of variational Bayesian hidden Markov models. In: Proc. of IJCNN 2005, vol.\u00a02, pp. 1114\u20131119 (2005)","DOI":"10.1109\/IJCNN.2005.1556009"},{"key":"17_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3502-4","volume-title":"Bayesian Networks and Decision Graphs","author":"F.V. Jensen","year":"2001","unstructured":"Jensen, F.V.: Bayesian Networks and Decision Graphs. Springer, New York (2001)"},{"key":"17_CR6","volume-title":"Learning in graphical models","author":"M.I. Jordan","year":"1999","unstructured":"Jordan, M.I.: Learning in graphical models. MIT Press, Cambridge (1999)"},{"issue":"2","key":"17_CR7","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1162\/neco.1992.4.3.415","volume":"4","author":"D.J. Mackay","year":"1992","unstructured":"Mackay, D.J.: Bayesian interpolation. Neural Computation\u00a04(2), 415\u2013447 (1992)","journal-title":"Neural Computation"},{"issue":"2","key":"17_CR8","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1214\/aos\/1176344136","volume":"6","author":"G. Schwarz","year":"1978","unstructured":"Schwarz, G.: Estimating the dimension of a model. Annals of Statistics\u00a06(2), 461\u2013464 (1978)","journal-title":"Annals of Statistics"},{"key":"17_CR9","first-page":"1465","volume-title":"Advances in NIPS","author":"K. Watanabe","year":"2006","unstructured":"Watanabe, K., Watanabe, S.: Variational Bayesian stochastic complexity of mixture models. In: Advances in NIPS, 18th edn., pp. 1465\u20131472. MIT Press, Cambridge (2006)","edition":"18"},{"issue":"4","key":"17_CR10","doi-asserted-by":"publisher","first-page":"899","DOI":"10.1162\/089976601300014402","volume":"13","author":"S. Watanabe","year":"2001","unstructured":"Watanabe, S.: Algebraic analysis for non-identifiable learning machines. Neural Computation\u00a013(4), 899\u2013933 (2001)","journal-title":"Neural Computation"},{"key":"17_CR11","unstructured":"Whiley, M., Titterington, D.M.: Model identifiability in naive Bayesian networks, Technical Report 02-1, Department of Statistics, University of Glasgow (2002)"},{"key":"17_CR12","unstructured":"Yamazaki, K., Watanabe, S.: Stochastic complexity of Bayesian networks. In: Proc. of UAI 2003, Acapulco, Mexico, pp. 592\u2013599 (2003)"}],"container-title":["Lecture Notes in Computer Science","Intelligent Data Engineering and Automated Learning \u2013 IDEAL 2006"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11875581_17","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,11]],"date-time":"2025-01-11T00:02:00Z","timestamp":1736553720000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11875581_17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540454854","9783540454878"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/11875581_17","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}