Stratification learning: detecting mixed density and dimensionality in high dimensional point clouds
Resumen:
The study of point cloud data sampled from a stratification, a collection of manifolds with possible different dimensions, is pursued in this paper. We present a technique for simultaneously soft clustering and estimating the mixed dimensionality and density of such structures. The framework is based on a maximum likelihood estimation of a Poisson mixture model. The presentation of the approach is completed with artificial and real examples demonstrating the importance of extending manifold learning to stratification learning.
| 2006 | |
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/38740 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522934933159936 |
|---|---|
| author | Haro, Gloria |
| author2 | Randall, Gregory Sapiro, Guillermo |
| author2_role | author author |
| author_facet | Haro, Gloria Randall, Gregory Sapiro, Guillermo |
| author_role | author |
| bitstream.checksum.fl_str_mv | 7f2e2c17ef6585de66da58d1bfa8b5e1 9833653f73f7853880c94a6fead477b1 4afdbb8c545fd630ea7db775da747b2f 9da0b6dfac957114c6a7714714b86306 e497153f3b2ddf2967fee85adb516970 |
| bitstream.checksumAlgorithm.fl_str_mv | MD5 MD5 MD5 MD5 MD5 |
| bitstream.url.fl_str_mv | http://localhost:8080/xmlui/bitstream/20.500.12008/38740/5/license.txt http://localhost:8080/xmlui/bitstream/20.500.12008/38740/2/license_text http://localhost:8080/xmlui/bitstream/20.500.12008/38740/3/license_url http://localhost:8080/xmlui/bitstream/20.500.12008/38740/4/license_rdf http://localhost:8080/xmlui/bitstream/20.500.12008/38740/1/HRS06.pdf |
| collection | COLIBRI |
| dc.creator.none.fl_str_mv | Haro, Gloria Randall, Gregory Sapiro, Guillermo |
| dc.date.accessioned.none.fl_str_mv | 2023-08-01T20:33:34Z |
| dc.date.available.none.fl_str_mv | 2023-08-01T20:33:34Z |
| dc.date.issued.es.fl_str_mv | 2006 |
| dc.date.submitted.es.fl_str_mv | 20230801 |
| dc.description.abstract.none.fl_txt_mv | The study of point cloud data sampled from a stratification, a collection of manifolds with possible different dimensions, is pursued in this paper. We present a technique for simultaneously soft clustering and estimating the mixed dimensionality and density of such structures. The framework is based on a maximum likelihood estimation of a Poisson mixture model. The presentation of the approach is completed with artificial and real examples demonstrating the importance of extending manifold learning to stratification learning. |
| dc.description.es.fl_txt_mv | Trabajo presentado en la 20th Annual Conference on Neural Information Processing Systems, 2006 |
| dc.identifier.citation.es.fl_str_mv | Haro, G. Randall, G. Sapiro, G. Stratification learning : detecting mixed density and dimensionality in high dimensional point clouds [Preprint] Publicado en Bernhard Schölkopf, John Platt, Thomas Hoffman (Eds.): Advances in Neural Information Processing Systems 19. Proceedings of the Twentieth Annual Conference on Neural Information Processing Systems, Vancouver, British Columbia, Canada, 2006. doi https://doi.org/10.7551/mitpress/7503.003.0074 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/38740 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.title.none.fl_str_mv | Stratification learning: detecting mixed density and dimensionality in high dimensional point clouds |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | Trabajo presentado en la 20th Annual Conference on Neural Information Processing Systems, 2006 |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_12f35bdb3b43f9d0bf1a221954a428ce |
| identifier_str_mv | Haro, G. Randall, G. Sapiro, G. Stratification learning : detecting mixed density and dimensionality in high dimensional point clouds [Preprint] Publicado en Bernhard Schölkopf, John Platt, Thomas Hoffman (Eds.): Advances in Neural Information Processing Systems 19. Proceedings of the Twentieth Annual Conference on Neural Information Processing Systems, Vancouver, British Columbia, Canada, 2006. doi https://doi.org/10.7551/mitpress/7503.003.0074 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/38740 |
| publishDate | 2006 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | 2023-08-01T20:33:34Z2023-08-01T20:33:34Z200620230801Haro, G. Randall, G. Sapiro, G. Stratification learning : detecting mixed density and dimensionality in high dimensional point clouds [Preprint] Publicado en Bernhard Schölkopf, John Platt, Thomas Hoffman (Eds.): Advances in Neural Information Processing Systems 19. Proceedings of the Twentieth Annual Conference on Neural Information Processing Systems, Vancouver, British Columbia, Canada, 2006. doi https://doi.org/10.7551/mitpress/7503.003.0074https://hdl.handle.net/20.500.12008/38740Trabajo presentado en la 20th Annual Conference on Neural Information Processing Systems, 2006The study of point cloud data sampled from a stratification, a collection of manifolds with possible different dimensions, is pursued in this paper. We present a technique for simultaneously soft clustering and estimating the mixed dimensionality and density of such structures. The framework is based on a maximum likelihood estimation of a Poisson mixture model. The presentation of the approach is completed with artificial and real examples demonstrating the importance of extending manifold learning to stratification learning.Made available in DSpace on 2023-08-01T20:33:34Z (GMT). No. of bitstreams: 5 HRS06.pdf: 718933 bytes, checksum: e497153f3b2ddf2967fee85adb516970 (MD5) license_text: 21936 bytes, checksum: 9833653f73f7853880c94a6fead477b1 (MD5) license_url: 49 bytes, checksum: 4afdbb8c545fd630ea7db775da747b2f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) license.txt: 4194 bytes, checksum: 7f2e2c17ef6585de66da58d1bfa8b5e1 (MD5) Previous issue date: 2006enengLas obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad De La República. (Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Stratification learning: detecting mixed density and dimensionality in high dimensional point cloudsPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaHaro, GloriaRandall, GregorySapiro, GuillermoLICENSElicense.txttext/plain4194http://localhost:8080/xmlui/bitstream/20.500.12008/38740/5/license.txt7f2e2c17ef6585de66da58d1bfa8b5e1MD55CC-LICENSElicense_textapplication/octet-stream21936http://localhost:8080/xmlui/bitstream/20.500.12008/38740/2/license_text9833653f73f7853880c94a6fead477b1MD52license_urlapplication/octet-stream49http://localhost:8080/xmlui/bitstream/20.500.12008/38740/3/license_url4afdbb8c545fd630ea7db775da747b2fMD53license_rdfapplication/octet-stream23148http://localhost:8080/xmlui/bitstream/20.500.12008/38740/4/license_rdf9da0b6dfac957114c6a7714714b86306MD54ORIGINALHRS06.pdfapplication/pdf718933http://localhost:8080/xmlui/bitstream/20.500.12008/38740/1/HRS06.pdfe497153f3b2ddf2967fee85adb516970MD5120.500.12008/387402023-08-01 17:33:34.279oai:colibri.udelar.edu.uy:20.500.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://udelar.edu.uy/https://www.colibri.udelar.edu.uy/oai/requestmabel.seroubian@seciu.edu.uyUruguayopendoar:47712024-07-25T14:33:28.788739COLIBRI - Universidad de la Repúblicafalse |
| spellingShingle | Stratification learning: detecting mixed density and dimensionality in high dimensional point clouds Haro, Gloria |
| status_str | submittedVersion |
| title | Stratification learning: detecting mixed density and dimensionality in high dimensional point clouds |
| title_full | Stratification learning: detecting mixed density and dimensionality in high dimensional point clouds |
| title_fullStr | Stratification learning: detecting mixed density and dimensionality in high dimensional point clouds |
| title_full_unstemmed | Stratification learning: detecting mixed density and dimensionality in high dimensional point clouds |
| title_short | Stratification learning: detecting mixed density and dimensionality in high dimensional point clouds |
| title_sort | Stratification learning: detecting mixed density and dimensionality in high dimensional point clouds |
| url | https://hdl.handle.net/20.500.12008/38740 |
