Vector probability diffusion
Resumen:
A method for isotropic and anisotropic diffusion of vector probabilities in general, and posterior probabilities in particular, is introduced. The technique is based on diffusing via coupled partial differential equations restricted to the semi-hyperplane corresponding to probability functions. Both the partial differential equations and their corresponding numerical implementation guarantee that the vector remains a probability vector, having all its components positive and adding to one. Applying the method to posterior probabilities in classification problems, spatial and contextual coherence is introduced before the MAP decision, thereby improving the classification results.
| 2000 | |
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Classification Contextual classification partial differential equation (PDE) Probability diffusion Synthetic aper-ture radar (SAR) classification |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/20818 | |
| Acceso abierto |
| _version_ | 1807522929504681984 |
|---|---|
| author | Pardo, Alvaro |
| author2 | Sapiro, Guillermo |
| author2_role | author |
| author_facet | Pardo, Alvaro Sapiro, Guillermo |
| author_role | author |
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| collection | COLIBRI |
| dc.creator.none.fl_str_mv | Pardo, Alvaro Sapiro, Guillermo |
| dc.date.accessioned.none.fl_str_mv | 2019-05-29T15:28:24Z |
| dc.date.available.none.fl_str_mv | 2019-05-29T15:28:24Z |
| dc.date.issued.es.fl_str_mv | 2000 |
| dc.date.submitted.es.fl_str_mv | 20190528 |
| dc.description.abstract.none.fl_txt_mv | A method for isotropic and anisotropic diffusion of vector probabilities in general, and posterior probabilities in particular, is introduced. The technique is based on diffusing via coupled partial differential equations restricted to the semi-hyperplane corresponding to probability functions. Both the partial differential equations and their corresponding numerical implementation guarantee that the vector remains a probability vector, having all its components positive and adding to one. Applying the method to posterior probabilities in classification problems, spatial and contextual coherence is introduced before the MAP decision, thereby improving the classification results. |
| dc.identifier.citation.es.fl_str_mv | Pardo, Alvaro, Sapiro, Guillermo. Vector probability diffusion [en línea] International Conference on Image Processing, 2000. |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/20818 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | IEEE |
| dc.relation.ispartof.es.fl_str_mv | International Conference on Image Processing, 2000. Proceeding. |
| 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.subject.es.fl_str_mv | Classification Contextual classification partial differential equation (PDE) Probability diffusion Synthetic aper-ture radar (SAR) classification |
| dc.title.none.fl_str_mv | Vector probability diffusion |
| dc.type.es.fl_str_mv | Artículo |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/article |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | A method for isotropic and anisotropic diffusion of vector probabilities in general, and posterior probabilities in particular, is introduced. The technique is based on diffusing via coupled partial differential equations restricted to the semi-hyperplane corresponding to probability functions. Both the partial differential equations and their corresponding numerical implementation guarantee that the vector remains a probability vector, having all its components positive and adding to one. Applying the method to posterior probabilities in classification problems, spatial and contextual coherence is introduced before the MAP decision, thereby improving the classification results. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | COLIBRI_9899d24977b23234b8da46490233acb6 |
| identifier_str_mv | Pardo, Alvaro, Sapiro, Guillermo. Vector probability diffusion [en línea] International Conference on Image Processing, 2000. |
| 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:20.500.12008/20818 |
| publishDate | 2000 |
| 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 |
| spelling | 2019-05-29T15:28:24Z2019-05-29T15:28:24Z200020190528Pardo, Alvaro, Sapiro, Guillermo. Vector probability diffusion [en línea] International Conference on Image Processing, 2000.https://hdl.handle.net/20.500.12008/20818A method for isotropic and anisotropic diffusion of vector probabilities in general, and posterior probabilities in particular, is introduced. The technique is based on diffusing via coupled partial differential equations restricted to the semi-hyperplane corresponding to probability functions. Both the partial differential equations and their corresponding numerical implementation guarantee that the vector remains a probability vector, having all its components positive and adding to one. Applying the method to posterior probabilities in classification problems, spatial and contextual coherence is introduced before the MAP decision, thereby improving the classification results.Made available in DSpace on 2019-05-29T15:28:24Z (GMT). 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Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessClassificationContextual classificationpartial differential equation (PDE)Probability diffusionSynthetic aper-ture radar (SAR) classificationVector probability diffusionArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaPardo, AlvaroSapiro, 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- Universidad de la Repúblicafalse |
| spellingShingle | Vector probability diffusion Pardo, Alvaro Classification Contextual classification partial differential equation (PDE) Probability diffusion Synthetic aper-ture radar (SAR) classification |
| status_str | publishedVersion |
| title | Vector probability diffusion |
| title_full | Vector probability diffusion |
| title_fullStr | Vector probability diffusion |
| title_full_unstemmed | Vector probability diffusion |
| title_short | Vector probability diffusion |
| title_sort | Vector probability diffusion |
| topic | Classification Contextual classification partial differential equation (PDE) Probability diffusion Synthetic aper-ture radar (SAR) classification |
| url | https://hdl.handle.net/20.500.12008/20818 |
