{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T00:51:00Z","timestamp":1740099060575,"version":"3.37.3"},"publisher-location":"Cham","reference-count":26,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319780238"},{"type":"electronic","value":"9783319780245"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-78024-5_56","type":"book-chapter","created":{"date-parts":[[2018,3,22]],"date-time":"2018-03-22T08:28:25Z","timestamp":1521707305000},"page":"646-655","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Parallel Nonnegative Matrix Factorization Based on Newton Iteration with Improved Convergence Behavior"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4805-1096","authenticated-orcid":false,"given":"Rade","family":"Kutil","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Markus","family":"Flatz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mari\u00e1n","family":"Vajter\u0161ic","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,3,23]]},"reference":[{"key":"56_CR1","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1002\/env.3170050203","volume":"5","author":"P Paatero","year":"1994","unstructured":"Paatero, P., Tapper, U.: Positive matrix factorization: a non-negative factor model with optimal utilization of error estimates of data values. Environmetrics 5, 111\u2013126 (1994)","journal-title":"Environmetrics"},{"key":"56_CR2","doi-asserted-by":"crossref","first-page":"788","DOI":"10.1038\/44565","volume":"401","author":"DD Lee","year":"1999","unstructured":"Lee, D.D., Seung, H.S.: Learning the parts of objects by non-negative matrix factorization. Nature 401, 788\u2013791 (1999)","journal-title":"Nature"},{"issue":"1","key":"56_CR3","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.csda.2006.11.006","volume":"52","author":"MW Berry","year":"2007","unstructured":"Berry, M.W., Browne, M., Langville, A.N., Pauca, V.P., Plemmons, R.J.: Algorithms and applications for approximate nonnegative matrix factorization. Comput. Stat. Data Anal. 52(1), 155\u2013173 (2007)","journal-title":"Comput. Stat. Data Anal."},{"key":"56_CR4","doi-asserted-by":"crossref","unstructured":"Pauca, V.P., Shahnaz, F., Berry, M.W., Plemmons, R.J.: Text mining using nonnegative matrix factorizations. In: Proceedings of the Fourth SIAM International Conference on Data Mining, pp. 452\u2013456 (2004)","DOI":"10.1137\/1.9781611972740.45"},{"issue":"2","key":"56_CR5","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1016\/j.ipm.2004.11.005","volume":"42","author":"F Shahnaz","year":"2006","unstructured":"Shahnaz, F., Berry, M.W., Pauca, V.P., Plemmons, R.J.: Document clustering using nonnegative matrix factorization. Inf. Process. Manage. 42(2), 373\u2013386 (2006)","journal-title":"Inf. Process. Manage."},{"key":"56_CR6","doi-asserted-by":"crossref","unstructured":"Berry, M.W., Gillis, N., Glineur, F.: Document classification using nonnegative matrix factorization and underapproximation. In: International Symposium on Circuits and Systems (ISCAS), pp. 2782\u20132785. IEEE (2009)","DOI":"10.1109\/ISCAS.2009.5118379"},{"key":"56_CR7","doi-asserted-by":"crossref","unstructured":"Li, T., Ding, C.: The relationships among various nonnegative matrix factorization methods for clustering. In: Sixth International Conference on Data Mining (ICDM 2006), pp. 362\u2013371. IEEE (2006)","DOI":"10.1109\/ICDM.2006.160"},{"key":"56_CR8","doi-asserted-by":"crossref","unstructured":"Xu, W., Liu, X., Gong, Y.: Document clustering based on non-negative matrix factorization. In: Proceedings of the 26th Annual International ACM SIGIR Conference on Research and Development in Information Retrieval, pp. 267\u2013273. ACM (2003)","DOI":"10.1145\/860435.860485"},{"key":"56_CR9","doi-asserted-by":"crossref","unstructured":"Kaarna, A.: Non-negative matrix factorization features from spectral signatures of AVIRIS images. In: International Conference on Geoscience and Remote Sensing Symposium (IGARSS), pp. 549\u2013552. IEEE (2006)","DOI":"10.1109\/IGARSS.2006.145"},{"issue":"3","key":"56_CR10","doi-asserted-by":"crossref","first-page":"683","DOI":"10.1109\/TNN.2006.873291","volume":"17","author":"S Zafeiriou","year":"2006","unstructured":"Zafeiriou, S., Tefas, A., Buciu, I., Pitas, I.: Exploiting discriminant information in nonnegative matrix factorization with application to frontal face verification. Trans. Neural Netw. 17(3), 683\u2013695 (2006)","journal-title":"Trans. Neural Netw."},{"issue":"12","key":"56_CR11","doi-asserted-by":"crossref","first-page":"4164","DOI":"10.1073\/pnas.0308531101","volume":"101","author":"JP Brunet","year":"2004","unstructured":"Brunet, J.P., Tamayo, P., Golub, T.R., Mesirov, J.P.: Metagenes and molecular pattern discovery using matrix factorization. Proc. Nat. Acad. Sci. U.S.A. 101(12), 4164 (2004)","journal-title":"Proc. Nat. Acad. Sci. U.S.A."},{"issue":"7","key":"56_CR12","doi-asserted-by":"crossref","first-page":"e1000029","DOI":"10.1371\/journal.pcbi.1000029","volume":"4","author":"K Devarajan","year":"2008","unstructured":"Devarajan, K.: Nonnegative matrix factorization: an analytical and interpretive tool in computational biology. PLoS Comput. Biol. 4(7), e1000029 (2008)","journal-title":"PLoS Comput. Biol."},{"issue":"21","key":"56_CR13","doi-asserted-by":"crossref","first-page":"3970","DOI":"10.1093\/bioinformatics\/bti653","volume":"21","author":"Y Gao","year":"2005","unstructured":"Gao, Y., Church, G.: Improving molecular cancer class discovery through sparse non-negative matrix factorization. Bioinformatics 21(21), 3970\u20133975 (2005)","journal-title":"Bioinformatics"},{"key":"56_CR14","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611971217","volume-title":"Solving Least Squares Problems","author":"CL Lawson","year":"1995","unstructured":"Lawson, C.L., Hanson, R.J.: Solving Least Squares Problems. SIAM, Philadelphia (1995)"},{"issue":"5","key":"56_CR15","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1002\/(SICI)1099-128X(199709\/10)11:5<393::AID-CEM483>3.0.CO;2-L","volume":"11","author":"R Bro","year":"1997","unstructured":"Bro, R., De Jong, S.: A fast non-negativity-constrained least squares algorithm. J. Chemometr. 11(5), 393\u2013401 (1997)","journal-title":"J. Chemometr."},{"issue":"2","key":"56_CR16","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1137\/07069239X","volume":"30","author":"H Kim","year":"2008","unstructured":"Kim, H., Park, H.: Nonnegative matrix factorization based on alternating nonnegativity constrained least squares and active set method. SIAM J. Matrix Anal. Appl. 30(2), 713\u2013730 (2008)","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"6","key":"56_CR17","doi-asserted-by":"crossref","first-page":"3261","DOI":"10.1137\/110821172","volume":"33","author":"J Kim","year":"2011","unstructured":"Kim, J., Park, H.: Fast nonnegative matrix factorization: an active-set-like method and comparisons. SIAM J. Sci. Comput. 33(6), 3261\u20133281 (2011)","journal-title":"SIAM J. Sci. Comput."},{"issue":"10","key":"56_CR18","doi-asserted-by":"crossref","first-page":"2756","DOI":"10.1162\/neco.2007.19.10.2756","volume":"19","author":"CJ Lin","year":"2007","unstructured":"Lin, C.J.: Projected gradient methods for nonnegative matrix factorization. Neural Comput. 19(10), 2756\u20132779 (2007)","journal-title":"Neural Comput."},{"key":"56_CR19","doi-asserted-by":"crossref","unstructured":"Kim, D., Sra, S., Dhillon, I.S.: Fast newton-type methods for the least squares nonnegative matrix approximation problem. In: Proceedings of the 2007 SIAM International Conference on Data Mining (SDM 2007), pp. 343\u2013354 (2007)","DOI":"10.1137\/1.9781611972771.31"},{"key":"56_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1007\/978-3-540-74494-8_22","volume-title":"Independent Component Analysis and Signal Separation","author":"A Cichocki","year":"2007","unstructured":"Cichocki, A., Zdunek, R., Amari, S.: Hierarchical ALS algorithms for nonnegative matrix and 3D tensor factorization. In: Davies, M.E., James, C.J., Abdallah, S.A., Plumbley, M.D. (eds.) ICA 2007. LNCS, vol. 4666, pp. 169\u2013176. Springer, Heidelberg (2007). https:\/\/doi.org\/10.1007\/978-3-540-74494-8_22"},{"issue":"03","key":"56_CR21","doi-asserted-by":"crossref","first-page":"1650014","DOI":"10.1142\/S0129626416500146","volume":"26","author":"M Flatz","year":"2016","unstructured":"Flatz, M., Vajter\u0161ic, M.: Parallel nonnegative matrix factorization via Newton iteration. Parallel Proc. Lett. 26(03), 1650014 (2016)","journal-title":"Parallel Proc. Lett."},{"issue":"2","key":"56_CR22","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/s10766-009-0116-7","volume":"38","author":"C Dong","year":"2010","unstructured":"Dong, C., Zhao, H., Wang, W.: Parallel nonnegative matrix factorization algorithm on the distributed memory platform. Int. J. Parallel Program. 38(2), 117\u2013137 (2010)","journal-title":"Int. J. Parallel Program."},{"key":"56_CR23","doi-asserted-by":"crossref","unstructured":"Kutil, R.: Towards an object oriented programming framework for parallel matrix algorithms. In: Proceedings of the 2016 International Conference on High Performance Computing & Simulation (HPCS 2016), pp. 776\u2013783, July 2016","DOI":"10.1109\/HPCSim.2016.7568413"},{"key":"56_CR24","doi-asserted-by":"crossref","unstructured":"Kannan, R., Ballard, G., Park, H.: A high-performance parallel algorithm for nonnegative matrix factorization. In: Proceedings of the 21st ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming, pp. 9:1\u20139:11. ACM (2016)","DOI":"10.1145\/2851141.2851152"},{"issue":"10","key":"56_CR25","doi-asserted-by":"crossref","first-page":"825","DOI":"10.1002\/nla.502","volume":"13","author":"S Bellavia","year":"2006","unstructured":"Bellavia, S., Macconi, M., Morini, B.: An interior point Newton-like method for non-negative least-squares problems with degenerate solution. Numer. Linear Algebra Appl. 13(10), 825\u2013846 (2006)","journal-title":"Numer. Linear Algebra Appl."},{"issue":"2","key":"56_CR26","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1137\/0806023","volume":"6","author":"TF Coleman","year":"1996","unstructured":"Coleman, T.F., Li, Y.: An interior trust region approach for nonlinear minimization subject to bounds. SIAM J. Optim. 6(2), 418\u2013445 (1996)","journal-title":"SIAM J. Optim."}],"container-title":["Lecture Notes in Computer Science","Parallel Processing and Applied Mathematics"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-78024-5_56","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,13]],"date-time":"2019-10-13T03:57:08Z","timestamp":1570939028000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-78024-5_56"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783319780238","9783319780245"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-78024-5_56","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2018]]}}}