{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T03:27:22Z","timestamp":1773199642792,"version":"3.50.1"},"publisher-location":"Cham","reference-count":12,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319684444","type":"print"},{"value":"9783319684451","type":"electronic"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-68445-1_68","type":"book-chapter","created":{"date-parts":[[2017,10,23]],"date-time":"2017-10-23T20:40:36Z","timestamp":1508791236000},"page":"587-594","source":"Crossref","is-referenced-by-count":1,"title":["Applying Backward Nested Subspace Inference to Tori and Polyspheres"],"prefix":"10.1007","author":[{"given":"Benjamin","family":"Eltzner","sequence":"first","affiliation":[]},{"given":"Stephan","family":"Huckemann","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,10,24]]},"reference":[{"key":"68_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"22","DOI":"10.1007\/978-3-319-25040-3_3","volume-title":"Geometric Science of Information","author":"B Eltzner","year":"2015","unstructured":"Eltzner, B., Jung, S., Huckemann, S.: Dimension reduction on polyspheres with application to skeletal representations. In: Nielsen, F., Barbaresco, F. (eds.) GSI 2015. LNCS, vol. 9389, pp. 22\u201329. Springer, Cham (2015). doi:\n10.1007\/978-3-319-25040-3_3"},{"key":"68_CR2","unstructured":"Eltzner, B., Huckemann, S.F., Mardia, K.V.: Deformed torus PCA with applications to RNA structure (2015). \narXiv:1511.04993"},{"issue":"6","key":"68_CR3","doi-asserted-by":"crossref","first-page":"e1000406","DOI":"10.1371\/journal.pcbi.1000406","volume":"5","author":"J Frellsen","year":"2009","unstructured":"Frellsen, J., Moltke, I., Thiim, M., Mardia, K.V., Ferkinghoff-Borg, J., Hamelryck, T.: A probabilistic model of RNA conformational space. PLoS Comput. Biol. 5(6), e1000406 (2009)","journal-title":"PLoS Comput. Biol."},{"issue":"1","key":"68_CR4","first-page":"1","volume":"20","author":"S Huckemann","year":"2010","unstructured":"Huckemann, S., Hotz, T., Munk, A.: Intrinsic shape analysis: Geodesic principal component analysis for Riemannian manifolds modulo Lie group actions (with discussion). Stat. Sin. 20(1), 1\u2013100 (2010)","journal-title":"Stat. Sin."},{"issue":"2","key":"68_CR5","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1017\/S0001867800000987","volume":"38","author":"S Huckemann","year":"2006","unstructured":"Huckemann, S., Ziezold, H.: Principal component analysis for Riemannian manifolds with an application to triangular shape spaces. Adv. Appl. Probab. (SGSA) 38(2), 299\u2013319 (2006)","journal-title":"Adv. Appl. Probab. (SGSA)"},{"key":"68_CR6","unstructured":"Huckemann, S.F., Eltzner, B.: Polysphere PCA with applications. In: Proceedings of the 33th LASR Workshop, pp. 51\u201355. Leeds University Press (2015). \nhttp:\/\/www1.maths.leeds.ac.uk\/statistics\/workshop\/lasr2015\/Proceedings15.pdf"},{"key":"68_CR7","unstructured":"Huckemann, S.F., Eltzner, B.: Backward nested descriptors asymptotics with inference on stem cell differentiation (2017). \narXiv:1609.00814"},{"key":"68_CR8","unstructured":"Jung, S., Dryden, I., Marron, J.: Analysis of principal nested spheres. Submitted to Biometrika (2010)"},{"issue":"2","key":"68_CR9","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1080\/10618600.2014.914947","volume":"24","author":"J Schulz","year":"2015","unstructured":"Schulz, J., Jung, S., Huckemann, S., Pierrynowski, M., Marron, J., Pizer, S.M.: Analysis of rotational deformations from directional data. J. Comput. Graph. Stat. 24(2), 539\u2013560 (2015)","journal-title":"J. Comput. Graph. Stat."},{"key":"68_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4020-8658-8","volume-title":"Medial Representations: Mathematics, Algorithms and Applications","author":"K Siddiqi","year":"2008","unstructured":"Siddiqi, K., Pizer, S.: Medial Representations: Mathematics, Algorithms and Applications. Springer, Heidelberg (2008)"},{"key":"68_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"76","DOI":"10.1007\/978-3-642-40020-9_7","volume-title":"Geometric Science of Information","author":"S Sommer","year":"2013","unstructured":"Sommer, S.: Horizontal dimensionality reduction and iterated frame bundle development. In: Nielsen, F., Barbaresco, F. (eds.) GSI 2013. LNCS, vol. 8085, pp. 76\u201383. Springer, Heidelberg (2013). doi:\n10.1007\/978-3-642-40020-9_7"},{"issue":"4","key":"68_CR12","doi-asserted-by":"crossref","first-page":"942","DOI":"10.1016\/j.jmb.2007.06.058","volume":"372","author":"LM Wadley","year":"2007","unstructured":"Wadley, L.M., Keating, K.S., Duarte, C.M., Pyle, A.M.: Evaluating and learning from RNA pseudotorsional space Quantitative validation of a reduced representation for RNAstructure. J. Mol. Biol. 372(4), 942\u2013957 (2007). \nhttp:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022283607008509","journal-title":"J. Mol. Biol."}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-68445-1_68","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,10,24]],"date-time":"2017-10-24T19:36:34Z","timestamp":1508873794000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-68445-1_68"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319684444","9783319684451"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-68445-1_68","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017]]}}}