{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T16:39:15Z","timestamp":1725727155407},"publisher-location":"Berlin, Heidelberg","reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642388859"},{"type":"electronic","value":"9783642388866"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-38886-6_14","type":"book-chapter","created":{"date-parts":[[2013,5,27]],"date-time":"2013-05-27T09:46:40Z","timestamp":1369648000000},"page":"143-152","source":"Crossref","is-referenced-by-count":5,"title":["Multiplicative Updates for Learning with Stochastic Matrices"],"prefix":"10.1007","author":[{"given":"Zhanxing","family":"Zhu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhirong","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Erkki","family":"Oja","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"14_CR1","unstructured":"Dhillon, I.S., Sra, S.: Generalized nonnegative matrix approximations with bregman divergences. In: Advances in Neural Information Processing Systems, vol.\u00a018, pp. 283\u2013290 (2006)"},{"key":"14_CR2","unstructured":"Choi, S.: Algorithms for orthogonal nonnegative matrix factorization. In: Proceedings of IEEE International Joint Conference on Neural Networks, pp. 1828\u20131832 (2008)"},{"key":"14_CR3","doi-asserted-by":"crossref","unstructured":"Cichocki, A., Zdunek, R., Phan, A.H., Amari, S.: Nonnegative Matrix and Tensor Factorizations: Applications to Exploratory Multi-way Data Analysis. John Wiley (2009)","DOI":"10.1002\/9780470747278"},{"key":"14_CR4","unstructured":"Faivishevsky, B., Goldberger, J.: A nonparametric information theoretic clustering algorithm. In: The 27th International Conference on Machine Learning (2010)"},{"key":"14_CR5","unstructured":"Jin, R., Ding, C., Kang, F.: A probabilistic approach for optimizing spectral clustering. In: Advances in Neural Information Processing Systems, pp. 571\u2013578 (2005)"},{"key":"14_CR6","doi-asserted-by":"publisher","first-page":"788","DOI":"10.1038\/44565","volume":"401","author":"D.D. Lee","year":"1999","unstructured":"Lee, D.D., Seung, H.S.: Learning the parts of objects by non-negative matrix factorization. Nature\u00a0401, 788\u2013791 (1999)","journal-title":"Nature"},{"issue":"8","key":"14_CR7","doi-asserted-by":"publisher","first-page":"3913","DOI":"10.1016\/j.csda.2008.01.011","volume":"52","author":"C. Ding","year":"2008","unstructured":"Ding, C., Li, T., Peng, W.: On the equivalence between non-negative matrix factorization and probabilistic latent semantic indexing. Computational Statistics and Data Analysis\u00a052(8), 3913\u20133927 (2008)","journal-title":"Computational Statistics and Data Analysis"},{"key":"14_CR8","doi-asserted-by":"crossref","unstructured":"M\u00f8rup, M., Hansen, L.: Archetypal analysis for machine learning. In: IEEE International Workshop on Machine Learning for Signal Processing (MLSP), pp. 172\u2013177. IEEE (2010)","DOI":"10.1109\/MLSP.2010.5589222"},{"issue":"5","key":"14_CR9","doi-asserted-by":"publisher","first-page":"734","DOI":"10.1109\/TNN.2010.2041361","volume":"21","author":"Z. Yang","year":"2010","unstructured":"Yang, Z., Oja, E.: Linear and nonlinear projective nonnegative matrix factorization. IEEE Transaction on Neural Networks\u00a021(5), 734\u2013749 (2010)","journal-title":"IEEE Transaction on Neural Networks"},{"issue":"12","key":"14_CR10","doi-asserted-by":"publisher","first-page":"1878","DOI":"10.1109\/TNN.2011.2170094","volume":"22","author":"Z. Yang","year":"2011","unstructured":"Yang, Z., Oja, E.: Unified development of multiplicative algorithms for linear and quadratic nonnegative matrix factorization. IEEE Transactions on Neural Networks\u00a022(12), 1878\u20131891 (2011)","journal-title":"IEEE Transactions on Neural Networks"},{"issue":"4","key":"14_CR11","doi-asserted-by":"publisher","first-page":"1500","DOI":"10.1016\/j.patcog.2011.10.014","volume":"45","author":"Z. Yang","year":"2012","unstructured":"Yang, Z., Oja, E.: Quadratic nonnegative matrix factorization. Pattern Recognition\u00a045(4), 1500\u20131510 (2012)","journal-title":"Pattern Recognition"},{"key":"14_CR12","unstructured":"Yang, Z., Oja, E.: Clustering by low-rank doubly stochastic matrix decomposition. In: International Conference on Machine Learning (ICML) (2012)"},{"key":"14_CR13","doi-asserted-by":"crossref","unstructured":"Lakshminarayanan, B., Raich, R.: Non-negative matrix factorization for parameter estimation in hidden markov models. In: IEEE International Workshop on Machine Learning for Signal Processing (MLSP), pp. 89\u201394 (2010)","DOI":"10.1109\/MLSP.2010.5589231"}],"container-title":["Lecture Notes in Computer Science","Image Analysis"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-38886-6_14","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,14]],"date-time":"2019-07-14T05:00:18Z","timestamp":1563080418000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-38886-6_14"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642388859","9783642388866"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-38886-6_14","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}