{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T04:06:23Z","timestamp":1768536383441,"version":"3.49.0"},"publisher-location":"Berlin, Heidelberg","reference-count":19,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540715900","type":"print"},{"value":"9783540716297","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-71629-7_31","type":"book-chapter","created":{"date-parts":[[2007,7,3]],"date-time":"2007-07-03T02:33:31Z","timestamp":1183430011000},"page":"271-280","source":"Crossref","is-referenced-by-count":20,"title":["Novel Multi-layer Non-negative Tensor Factorization with Sparsity Constraints"],"prefix":"10.1007","author":[{"given":"Andrzej","family":"Cichocki","sequence":"first","affiliation":[]},{"given":"Rafal","family":"Zdunek","sequence":"additional","affiliation":[]},{"given":"Seungjin","family":"Choi","sequence":"additional","affiliation":[]},{"given":"Robert","family":"Plemmons","sequence":"additional","affiliation":[]},{"given":"Shun-ichi","family":"Amari","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"31_CR1","unstructured":"Workshop on tensor decompositions and applications. CIRM, Marseille, France (2005)"},{"key":"31_CR2","doi-asserted-by":"crossref","unstructured":"Hazan, T., Polak, S., Shashua, A.: Sparse image coding using a 3D non-negative tensor factorization. In: International Conference of Computer Vision (ICCV), pp. 50\u201357 (2005), http:\/\/www.cs.huji.ac.il\/~tamirr\/papers\/NTF-iccv05.pdf","DOI":"10.1109\/ICCV.2005.228"},{"key":"31_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1007\/11744023_5","volume-title":"Computer Vision \u2013 ECCV 2006","author":"M. Heiler","year":"2006","unstructured":"Heiler, M., Schn\u00f6rr, C.: Controlling sparseness in non-negative tensor factorization. In: Leonardis, A., Bischof, H., Pinz, A. (eds.) ECCV 2006. LNCS, vol.\u00a03951, pp. 56\u201367. Springer, Heidelberg (2006)"},{"key":"31_CR4","doi-asserted-by":"crossref","DOI":"10.1002\/0470012110","volume-title":"Multi-way Analysis: Applications in the Chemical Sciences","author":"A. Smilde","year":"2004","unstructured":"Smilde, A., Bro, R., Geladi, P.: Multi-way Analysis: Applications in the Chemical Sciences. John Wiley and Sons, New York (2004)"},{"key":"31_CR5","doi-asserted-by":"crossref","unstructured":"Berry, M., Browne, M., Langville, A., Pauca, P., Plemmons, R.: Algorithms and applications for approximate nonnegative matrix factorization. Computational Statistics and Data Analysis, submitted (2006)","DOI":"10.1016\/j.csda.2006.11.006"},{"key":"31_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"32","DOI":"10.1007\/11679363_5","volume-title":"Independent Component Analysis and Blind Signal Separation","author":"A. Cichocki","year":"2006","unstructured":"Cichocki, A., Zdunek, R., Amari, S.-i.: Csisz\u00e1r\u2019s divergences for non-negative matrix factorization: Family of new algorithms. In: Rosca, J.P., Erdogmus, D., Pr\u00edncipe, J.C., Haykin, S. (eds.) ICA 2006. LNCS, vol.\u00a03889, pp. 32\u201339. Springer, Heidelberg (2006)"},{"key":"31_CR7","series-title":"Lecture Notes in Artificial Intelligence","doi-asserted-by":"publisher","first-page":"548","DOI":"10.1007\/11785231_58","volume-title":"Artificial Intelligence and Soft Computing \u2013 ICAISC 2006","author":"A. Cichocki","year":"2006","unstructured":"Cichocki, A., Amari, S.-i., Zdunek, R., Kompass, R., Hori, G., He, Z.: Extended SMART algorithms for non-negative matrix factorization. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., \u017burada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol.\u00a04029, pp. 548\u2013562. Springer, Heidelberg (2006)"},{"key":"31_CR8","unstructured":"Cichocki, A., Zdunek, R.: NMFLAB for Signal and Image Processing. Technical report, Laboratory for Advanced Brain Signal Processing, BSI, RIKEN, Saitama, Japan (2006)"},{"key":"31_CR9","unstructured":"Cichocki, A., Zdunek, R.: NTFLAB for Signal Processing. Technical report, Laboratory for Advanced Brain Signal Processing, BSI, RIKEN, Saitama, Japan (2006)"},{"key":"31_CR10","unstructured":"Dhillon, I., Sra, S.: Generalized nonnegative matrix approximations with Bregman divergences. In: Neural Information Proc. Systems, Vancouver, Canada, December 2005, pp. 283\u2013290 (2005)"},{"key":"31_CR11","first-page":"1457","volume":"5","author":"P. Hoyer","year":"2004","unstructured":"Hoyer, P.: Non-negative matrix factorization with sparseness constraints. Journal of Machine Learning Research\u00a05, 1457\u20131469 (2004)","journal-title":"Journal of Machine Learning Research"},{"key":"31_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"617","DOI":"10.1007\/11679363_77","volume-title":"Independent Component Analysis and Blind Signal Separation","author":"M. Kim","year":"2006","unstructured":"Kim, M., Choi, S.: Monaural music source separation: Nonnegativity, sparseness, and shift-invariance. In: Rosca, J., Erdogmus, D., Pr\u00edncipe, J.C., Haykin, S. (eds.) ICA 2006. LNCS, vol.\u00a03889, pp. 617\u2013624. Springer, Heidelberg (2006)"},{"key":"31_CR13","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 nonnegative matrix factorization. Nature\u00a0401, 788\u2013791 (1999)","journal-title":"Nature"},{"key":"31_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1007\/3-540-47969-4_30","volume-title":"Computer Vision - ECCV 2002","author":"M.A.O. Vasilescu","year":"2002","unstructured":"Vasilescu, M.A.O., Terzopoulos, D.: Multilinear analysis of image ensembles: TensorFaces. In: Heyden, A., Sparr, G., Nielsen, M., Johansen, P. (eds.) ECCV 2002. LNCS, vol.\u00a02350, pp. 447\u2013460. Springer, Heidelberg (2002)"},{"issue":"3","key":"31_CR15","doi-asserted-by":"publisher","first-page":"938","DOI":"10.1016\/j.neuroimage.2005.08.005","volume":"29","author":"M. Morup","year":"2006","unstructured":"Morup, M., Hansen, L.K., Herrmann, C.S., Parnas, J., Arnfred, S.M.: Parallel factor analysis as an exploratory tool for wavelet transformed event-related EEG. NeuroImage\u00a029(3), 938\u2013947 (2006)","journal-title":"NeuroImage"},{"key":"31_CR16","doi-asserted-by":"publisher","first-page":"1035","DOI":"10.1016\/j.neuroimage.2004.03.039","volume":"22","author":"F. Miwakeichi","year":"2004","unstructured":"Miwakeichi, F., Mart\u00ednez-Montes, E., Vald\u00e9s-Sosa, P.A., Nishiyama, N., Mizuhara, H., Yamaguchi, Y.: Decomposing EEG data into space-time-frequency components using Parallel Factor Analysis. NeuroImage\u00a022, 1035\u20131045 (2004)","journal-title":"NeuroImage"},{"key":"31_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-5056-2","volume-title":"Differential-Geometrical Methods in Statistics","author":"S. Amari","year":"1985","unstructured":"Amari, S.: Differential-Geometrical Methods in Statistics. Springer, Heidelberg (1985)"},{"issue":"1","key":"31_CR18","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1007\/s10957-005-2668-z","volume":"126","author":"M. Merritt","year":"2005","unstructured":"Merritt, M., Zhang, Y.: An interior-point gradient method for large-scale totally nonnegative least squares problems. J. Optimization Theory and Applications\u00a0126(1), 191\u2013202 (2005)","journal-title":"J. Optimization Theory and Applications"},{"issue":"16","key":"31_CR19","doi-asserted-by":"publisher","first-page":"947","DOI":"10.1049\/el:20060983","volume":"42","author":"A. Cichocki","year":"2006","unstructured":"Cichocki, A., Zdunek, R.: Multilayer nonnegative matrix factorization. Electronics Letters\u00a042(16), 947\u2013948 (2006)","journal-title":"Electronics Letters"}],"container-title":["Lecture Notes in Computer Science","Adaptive and Natural Computing Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-71629-7_31.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,19]],"date-time":"2020-11-19T05:23:57Z","timestamp":1605763437000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-71629-7_31"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540715900","9783540716297"],"references-count":19,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-71629-7_31","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[]}}