Optimal dual fusion frames for probabilistic erasures

Autores
Morillas, Patricia Mariela
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
For any fixed fusion frame, its optimal dual fusion frames for reconstruction is studied in case of erasures of subspaces. It is considered that a probability distribution of erasure of subspaces is given and that a blind reconstruction procedure is used, where the erased data are set to zero. It is proved that there are always optimal duals. Sufficient conditions for the canonical dual fusion frame being either the unique optimal dual, a non-unique optimal dual, or a non optimal dual, are obtained. The reconstruction error is analyzed, using the optimal duals in the probability model considered here and using the optimal duals in a non-probability model.
Fil: Morillas, Patricia Mariela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis ; Argentina
Materia
DUAL FUSION FRAMES
FRAMES
FUSION FRAMES
OPTIMAL DUAL FUSION FRAMES
PROBABILISTIC ERASURES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/66416
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/66416
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Optimal dual fusion frames for probabilistic erasuresMorillas, Patricia MarielaDUAL FUSION FRAMESFRAMESFUSION FRAMESOPTIMAL DUAL FUSION FRAMESPROBABILISTIC ERASUREShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1For any fixed fusion frame, its optimal dual fusion frames for reconstruction is studied in case of erasures of subspaces. It is considered that a probability distribution of erasure of subspaces is given and that a blind reconstruction procedure is used, where the erased data are set to zero. It is proved that there are always optimal duals. Sufficient conditions for the canonical dual fusion frame being either the unique optimal dual, a non-unique optimal dual, or a non optimal dual, are obtained. The reconstruction error is analyzed, using the optimal duals in the probability model considered here and using the optimal duals in a non-probability model.Fil: Morillas, Patricia Mariela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis ; ArgentinaInt Linear Algebra Soc2017-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/66416Morillas, Patricia Mariela; Optimal dual fusion frames for probabilistic erasures; Int Linear Algebra Soc; Electronic Journal Of Linear Algebra; 32; 6-2017; 193-2031081-3810CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://repository.uwyo.edu/ela/vol32/iss/16/info:eu-repo/semantics/altIdentifier/doi/10.13001/1081-3810.3267info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:04:51Zoai:ri.conicet.gov.ar:11336/66416instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:04:51.393CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Optimal dual fusion frames for probabilistic erasures
title Optimal dual fusion frames for probabilistic erasures
spellingShingle Optimal dual fusion frames for probabilistic erasures
Morillas, Patricia Mariela
DUAL FUSION FRAMES
FRAMES
FUSION FRAMES
OPTIMAL DUAL FUSION FRAMES
PROBABILISTIC ERASURES
title_short Optimal dual fusion frames for probabilistic erasures
title_full Optimal dual fusion frames for probabilistic erasures
title_fullStr Optimal dual fusion frames for probabilistic erasures
title_full_unstemmed Optimal dual fusion frames for probabilistic erasures
title_sort Optimal dual fusion frames for probabilistic erasures
dc.creator.none.fl_str_mv Morillas, Patricia Mariela
author Morillas, Patricia Mariela
author_facet Morillas, Patricia Mariela
author_role author
dc.subject.none.fl_str_mv DUAL FUSION FRAMES
FRAMES
FUSION FRAMES
OPTIMAL DUAL FUSION FRAMES
PROBABILISTIC ERASURES
topic DUAL FUSION FRAMES
FRAMES
FUSION FRAMES
OPTIMAL DUAL FUSION FRAMES
PROBABILISTIC ERASURES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv For any fixed fusion frame, its optimal dual fusion frames for reconstruction is studied in case of erasures of subspaces. It is considered that a probability distribution of erasure of subspaces is given and that a blind reconstruction procedure is used, where the erased data are set to zero. It is proved that there are always optimal duals. Sufficient conditions for the canonical dual fusion frame being either the unique optimal dual, a non-unique optimal dual, or a non optimal dual, are obtained. The reconstruction error is analyzed, using the optimal duals in the probability model considered here and using the optimal duals in a non-probability model.
Fil: Morillas, Patricia Mariela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis ; Argentina
description For any fixed fusion frame, its optimal dual fusion frames for reconstruction is studied in case of erasures of subspaces. It is considered that a probability distribution of erasure of subspaces is given and that a blind reconstruction procedure is used, where the erased data are set to zero. It is proved that there are always optimal duals. Sufficient conditions for the canonical dual fusion frame being either the unique optimal dual, a non-unique optimal dual, or a non optimal dual, are obtained. The reconstruction error is analyzed, using the optimal duals in the probability model considered here and using the optimal duals in a non-probability model.
publishDate 2017
dc.date.none.fl_str_mv 2017-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/66416
Morillas, Patricia Mariela; Optimal dual fusion frames for probabilistic erasures; Int Linear Algebra Soc; Electronic Journal Of Linear Algebra; 32; 6-2017; 193-203
1081-3810
CONICET Digital
CONICET
url http://hdl.handle.net/11336/66416
identifier_str_mv Morillas, Patricia Mariela; Optimal dual fusion frames for probabilistic erasures; Int Linear Algebra Soc; Electronic Journal Of Linear Algebra; 32; 6-2017; 193-203
1081-3810
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://repository.uwyo.edu/ela/vol32/iss/16/
info:eu-repo/semantics/altIdentifier/doi/10.13001/1081-3810.3267
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Int Linear Algebra Soc
publisher.none.fl_str_mv Int Linear Algebra Soc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842269879088971776
score 13.13397

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