{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T14:47:24Z","timestamp":1742914044162,"version":"3.40.3"},"publisher-location":"Cham","reference-count":20,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030196417"},{"type":"electronic","value":"9783030196424"}],"license":[{"start":{"date-parts":[[2019,4,28]],"date-time":"2019-04-28T00:00:00Z","timestamp":1556409600000},"content-version":"tdm","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":[[2020]]},"DOI":"10.1007\/978-3-030-19642-4_25","type":"book-chapter","created":{"date-parts":[[2019,4,27]],"date-time":"2019-04-27T10:04:21Z","timestamp":1556359461000},"page":"251-260","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Subspace Quantization on the Grassmannian"],"prefix":"10.1007","author":[{"given":"Shannon","family":"Stiverson","sequence":"first","affiliation":[]},{"given":"Michael","family":"Kirby","sequence":"additional","affiliation":[]},{"given":"Chris","family":"Peterson","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,4,28]]},"reference":[{"key":"25_CR1","doi-asserted-by":"crossref","unstructured":"Absil PA, Mahony R, Sepulchre R (2007) Optimization algorithms on matrix manifolds. Princeton University Press, Princeton","DOI":"10.1515\/9781400830244"},{"issue":"1","key":"25_CR2","first-page":"218","volume":"18","author":"H Adams","year":"2017","unstructured":"Adams H, Chepushtanova S, Emerson T, Hanson E, Kirby M, Motta F, Neville R, Peterson C, Shipman P, Ziegelmeier L (2017) Persistent images: a stable vector representation of persistent homology. J Mach Learn 18(1):218\u2013252","journal-title":"J Mach Learn"},{"key":"25_CR3","unstructured":"Baumgardner MF, Biehl LL, Landgrebe D.A (2015) 220 band AVIRIS hyperspectral image data set: June 12, 1992 Indian Pine Test Site 3, September 2015"},{"issue":"2","key":"25_CR4","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1109\/TPAMI.2008.200","volume":"31","author":"JR Beveridge","year":"2009","unstructured":"Beveridge JR, Draper BA, Chang JM, Kirby M, Kley H, Peterson C (2009) Principal angles separate subject illumination spaces in YDB and CMU-PIE. IEEE Trans Pattern Anal Mach Intell 31(2):351\u2013363","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"123","key":"25_CR5","doi-asserted-by":"publisher","first-page":"579","DOI":"10.2307\/2005662","volume":"27","author":"A Bj\u00f6rck","year":"1973","unstructured":"Bj\u00f6rck A, Golub GH (1973) Numerical methods for computing angles between linear subspaces. Math Comput 27(123):579\u2013594","journal-title":"Math Comput"},{"key":"25_CR6","doi-asserted-by":"crossref","unstructured":"Chang JM, Kirby M, Kley H, Peterson C, Beveridge J, Draper B (2007) Recognition of digital images of the human face at ultra low resolution via illumination spaces. Lecture Notes in Computer Science, vol 4844. Springer, pp 733\u2013743","DOI":"10.1007\/978-3-540-76390-1_72"},{"issue":"3","key":"25_CR7","doi-asserted-by":"publisher","first-page":"434","DOI":"10.1109\/LGRS.2017.2648514","volume":"14","author":"S Chepushtanova","year":"2017","unstructured":"Chepushtanova S, Kirby M (2017) Sparse Grassmannian embeddings for hyperspectral data representation and classification. IEEE Geosci Remote Sens Lett 14(3):434\u2013438","journal-title":"IEEE Geosci Remote Sens Lett"},{"key":"25_CR8","doi-asserted-by":"crossref","unstructured":"Chepushtanova S, Kirby M, Peterson C, Ziegelmeier L (2015) An application of persistent homology on Grassmann manifolds for the detection of signals in hyperspectral imagery. In: 2015 IEEE international geoscience and remote sensing symposium (IGARSS). IEEE, pp 449\u2013452","DOI":"10.1109\/IGARSS.2015.7325797"},{"key":"25_CR9","doi-asserted-by":"crossref","unstructured":"Chepushtanova S, Kirby M, Peterson C, Ziegelmeier L (2016) Persistent homology on Grassmann manifolds for analysis of hyperspectral movies. In: International workshop on computational topology in image context. Lecture Notes in Computer Science, vol. 9667. Springer, pp 228\u2013239","DOI":"10.1007\/978-3-319-39441-1_21"},{"issue":"12","key":"25_CR10","doi-asserted-by":"publisher","first-page":"3207","DOI":"10.1162\/NECO_a_00052","volume":"22","author":"DC Cire\u015fan","year":"2010","unstructured":"Cire\u015fan DC, Meier U, Gambardella LM, Schmidhuber J (2010) Deep, big, simple neural nets for handwritten digit recognition. Neural Comput 22(12):3207\u20133220","journal-title":"Neural Comput"},{"key":"25_CR11","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1016\/j.laa.2014.03.022","volume":"451","author":"B Draper","year":"2014","unstructured":"Draper B, Kirby M, Marks J, Marrinan T, Peterson C (2014) A flag representation for finite collections of subspaces of mixed dimensions. Linear Algebra Appl 451:15\u201332","journal-title":"Linear Algebra Appl"},{"issue":"2","key":"25_CR12","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1137\/S0895479895290954","volume":"20","author":"A Edelman","year":"1998","unstructured":"Edelman A, Arias TA, Smith ST (1998) The geometry of algorithms with orthogonality constraints. SIAM J Matrix Anal Appl 20(2):303\u2013353","journal-title":"SIAM J Matrix Anal Appl"},{"key":"25_CR13","unstructured":"Gallivan KA, Srivastava A, Liu X, Van\u00a0Dooren P (2005) Efficient algorithms for inferences on Grassmann manifolds. In: 2003 IEEE workshop on statistical signal processing. IEEE, pp 15\u2013318"},{"key":"25_CR14","unstructured":"Gruber P, Theis FJ (2006) Grassmann clustering. In: 2006 14th European signal processing conference. IEEE, pp 1\u20135"},{"key":"25_CR15","doi-asserted-by":"crossref","unstructured":"Kirby M, Peterson, C (2017) Visualizing data sets on the Grassmannian using self-organizing mappings. In: 2017 12th International workshop on self-organizing maps and learning vector quantization, clustering and data visualization (WSOM). IEEE, pp 1\u20136","DOI":"10.1109\/WSOM.2017.8020003"},{"key":"25_CR16","volume-title":"Self-organization and associative memory","author":"T Kohonen","year":"1984","unstructured":"Kohonen T (1984) Self-organization and associative memory. Springer, Berlin"},{"issue":"1","key":"25_CR17","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1109\/TCOM.1980.1094577","volume":"28","author":"Y Linde","year":"1980","unstructured":"Linde Y, Buzo A, Gray R (1980) An algorithm for vector quantizer design. IEEE Trans Commun 28(1):84\u201395","journal-title":"IEEE Trans Commun"},{"key":"25_CR18","unstructured":"MacQueen J, et al (1967) Some methods for classification and analysis of multivariate observations. In: Proceedings of the fifth Berkeley symposium on mathematical statistics and probability, vol 1, Oakland, CA, USA, pp 281\u2013297"},{"key":"25_CR19","doi-asserted-by":"crossref","unstructured":"Marrinan T, Beveridge JR, Draper B, Kirby M, Peterson C (2015) Flag manifolds for the characterization of geometric structure in large data sets. In: Numerical mathematics and advanced applications-ENUMATH 2013. Springer, pp 457\u2013465","DOI":"10.1007\/978-3-319-10705-9_45"},{"key":"25_CR20","doi-asserted-by":"crossref","unstructured":"Marrinan T, Draper B, Beveridge JR, Kirby M, Peterson C (2014) Finding the subspace mean or median to fit your need. In: 2014 IEEE conference on computer vision and pattern recognition (CVPR). IEEE, pp 1082\u20131089","DOI":"10.1109\/CVPR.2014.142"}],"container-title":["Advances in Intelligent Systems and Computing","Advances in Self-Organizing Maps, Learning Vector Quantization, Clustering and Data Visualization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-19642-4_25","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,18]],"date-time":"2019-05-18T03:48:04Z","timestamp":1558151284000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-19642-4_25"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,4,28]]},"ISBN":["9783030196417","9783030196424"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-19642-4_25","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"type":"print","value":"2194-5357"},{"type":"electronic","value":"2194-5365"}],"subject":[],"published":{"date-parts":[[2019,4,28]]},"assertion":[{"value":"28 April 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"WSOM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Workshop on Self-Organizing Maps","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Barcelona","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Spain","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"26 June 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"28 June 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"wsom2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/samm.univ-paris1.fr\/WSOM-2017","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}