Collaborative sources identification in mixed signals via hierarchical sparse modeling

Sprechmann, Pablo - Ramírez Paulino, Ignacio - Cancela, Pablo - Sapiro, Guillermo

Resumen:

A collaborative framework for detecting the different sources in mixed signals is presented in this paper. The approach is based on C-HiLasso, a convex collaborative hierarchical sparse model, and proceeds as follows. First, we build a structured dictionary for mixed signals by concatenating a set of sub-dictionaries, each one of them learned to sparsely model one of a set of possible classes. Then, the coding of the mixed signal is performed by efficiently solving a convex optimization problem that combines standard sparsity with group and collaborative sparsity. The present sources are identified by looking at the sub-dictionaries automatically selected in the coding. The collaborative filtering in C-HiLasso takes advantage of the temporal/spatial redundancy in the mixed signals, letting collections of samples collaborate in identifying the classes, while allowing individual samples to have different internal sparse representations. This collaboration is critical to further stabilize the sparse representation of signals, in particular the class/sub-dictionary selection. The internal sparsity inside the sub-dictionaries, as naturally incorporated by the hierarchical aspects of C-HiLasso, is critical to make the model consistent with the essence of the sub-dictionaries that have been trained for sparse representation of each individual class. We present applications from speaker and instrument identification and texture separation. In the case of audio signals, we use sparse modeling to describe the short-term power spectrum envelopes of harmonic sounds. The proposed pitch independent method automatically detects the number of sources on a recording.


Detalles Bibliográficos
2011
Computer vision
Pattern recognition
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/41118
https://doi.org/10.48550/arXiv.1010.4893
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Sprechmann, Pablo
author2 Ramírez Paulino, Ignacio
Cancela, Pablo
Sapiro, Guillermo
author2_role author
author
author
author_facet Sprechmann, Pablo
Ramírez Paulino, Ignacio
Cancela, Pablo
Sapiro, Guillermo
author_role author
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dc.creator.none.fl_str_mv Sprechmann, Pablo
Ramírez Paulino, Ignacio
Cancela, Pablo
Sapiro, Guillermo
dc.date.accessioned.none.fl_str_mv 2023-11-14T17:04:22Z
dc.date.available.none.fl_str_mv 2023-11-14T17:04:22Z
dc.date.issued.es.fl_str_mv 2011
dc.date.submitted.es.fl_str_mv 20231114
dc.description.abstract.none.fl_txt_mv A collaborative framework for detecting the different sources in mixed signals is presented in this paper. The approach is based on C-HiLasso, a convex collaborative hierarchical sparse model, and proceeds as follows. First, we build a structured dictionary for mixed signals by concatenating a set of sub-dictionaries, each one of them learned to sparsely model one of a set of possible classes. Then, the coding of the mixed signal is performed by efficiently solving a convex optimization problem that combines standard sparsity with group and collaborative sparsity. The present sources are identified by looking at the sub-dictionaries automatically selected in the coding. The collaborative filtering in C-HiLasso takes advantage of the temporal/spatial redundancy in the mixed signals, letting collections of samples collaborate in identifying the classes, while allowing individual samples to have different internal sparse representations. This collaboration is critical to further stabilize the sparse representation of signals, in particular the class/sub-dictionary selection. The internal sparsity inside the sub-dictionaries, as naturally incorporated by the hierarchical aspects of C-HiLasso, is critical to make the model consistent with the essence of the sub-dictionaries that have been trained for sparse representation of each individual class. We present applications from speaker and instrument identification and texture separation. In the case of audio signals, we use sparse modeling to describe the short-term power spectrum envelopes of harmonic sounds. The proposed pitch independent method automatically detects the number of sources on a recording.
dc.identifier.citation.es.fl_str_mv Sprechmann, P. Ramírez Paulino, I, Cancela, P, Sapiro, G. “Collaborative sources identification in mixed signals via hierarchical sparse modeling”. eprint arXiv:1010.4893, https://doi.org/10.48550/arXiv.1010.4893
dc.identifier.doi.es.fl_str_mv https://doi.org/10.48550/arXiv.1010.4893
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/41118
dc.language.iso.none.fl_str_mv en
eng
dc.relation.ispartof.es.fl_str_mv eprint arXiv:1010.4893
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.subject.es.fl_str_mv Computer vision
Pattern recognition
dc.title.none.fl_str_mv Collaborative sources identification in mixed signals via hierarchical sparse modeling
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 collaborative framework for detecting the different sources in mixed signals is presented in this paper. The approach is based on C-HiLasso, a convex collaborative hierarchical sparse model, and proceeds as follows. First, we build a structured dictionary for mixed signals by concatenating a set of sub-dictionaries, each one of them learned to sparsely model one of a set of possible classes. Then, the coding of the mixed signal is performed by efficiently solving a convex optimization problem that combines standard sparsity with group and collaborative sparsity. The present sources are identified by looking at the sub-dictionaries automatically selected in the coding. The collaborative filtering in C-HiLasso takes advantage of the temporal/spatial redundancy in the mixed signals, letting collections of samples collaborate in identifying the classes, while allowing individual samples to have different internal sparse representations. This collaboration is critical to further stabilize the sparse representation of signals, in particular the class/sub-dictionary selection. The internal sparsity inside the sub-dictionaries, as naturally incorporated by the hierarchical aspects of C-HiLasso, is critical to make the model consistent with the essence of the sub-dictionaries that have been trained for sparse representation of each individual class. We present applications from speaker and instrument identification and texture separation. In the case of audio signals, we use sparse modeling to describe the short-term power spectrum envelopes of harmonic sounds. The proposed pitch independent method automatically detects the number of sources on a recording.
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identifier_str_mv Sprechmann, P. Ramírez Paulino, I, Cancela, P, Sapiro, G. “Collaborative sources identification in mixed signals via hierarchical sparse modeling”. eprint arXiv:1010.4893, https://doi.org/10.48550/arXiv.1010.4893
instacron_str Universidad de la República
institution Universidad de la República
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publishDate 2011
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 2023-11-14T17:04:22Z2023-11-14T17:04:22Z201120231114Sprechmann, P. Ramírez Paulino, I, Cancela, P, Sapiro, G. “Collaborative sources identification in mixed signals via hierarchical sparse modeling”. eprint arXiv:1010.4893, https://doi.org/10.48550/arXiv.1010.4893https://hdl.handle.net/20.500.12008/41118https://doi.org/10.48550/arXiv.1010.4893A collaborative framework for detecting the different sources in mixed signals is presented in this paper. The approach is based on C-HiLasso, a convex collaborative hierarchical sparse model, and proceeds as follows. First, we build a structured dictionary for mixed signals by concatenating a set of sub-dictionaries, each one of them learned to sparsely model one of a set of possible classes. Then, the coding of the mixed signal is performed by efficiently solving a convex optimization problem that combines standard sparsity with group and collaborative sparsity. The present sources are identified by looking at the sub-dictionaries automatically selected in the coding. The collaborative filtering in C-HiLasso takes advantage of the temporal/spatial redundancy in the mixed signals, letting collections of samples collaborate in identifying the classes, while allowing individual samples to have different internal sparse representations. This collaboration is critical to further stabilize the sparse representation of signals, in particular the class/sub-dictionary selection. The internal sparsity inside the sub-dictionaries, as naturally incorporated by the hierarchical aspects of C-HiLasso, is critical to make the model consistent with the essence of the sub-dictionaries that have been trained for sparse representation of each individual class. We present applications from speaker and instrument identification and texture separation. In the case of audio signals, we use sparse modeling to describe the short-term power spectrum envelopes of harmonic sounds. The proposed pitch independent method automatically detects the number of sources on a recording.Made available in DSpace on 2023-11-14T17:04:22Z (GMT). No. of bitstreams: 5 SRCS11.pdf: 2043714 bytes, checksum: 2baecfff8c5990ce03f1e064dd68318b (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: 2011enengeprint arXiv:1010.4893Las 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)Computer visionPattern recognitionCollaborative sources identification in mixed signals via hierarchical sparse modelingArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaSprechmann, PabloRamírez Paulino, IgnacioCancela, PabloSapiro, 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- Universidad de la Repúblicafalse
spellingShingle Collaborative sources identification in mixed signals via hierarchical sparse modeling
Sprechmann, Pablo
Computer vision
Pattern recognition
status_str publishedVersion
title Collaborative sources identification in mixed signals via hierarchical sparse modeling
title_full Collaborative sources identification in mixed signals via hierarchical sparse modeling
title_fullStr Collaborative sources identification in mixed signals via hierarchical sparse modeling
title_full_unstemmed Collaborative sources identification in mixed signals via hierarchical sparse modeling
title_short Collaborative sources identification in mixed signals via hierarchical sparse modeling
title_sort Collaborative sources identification in mixed signals via hierarchical sparse modeling
topic Computer vision
Pattern recognition
url https://hdl.handle.net/20.500.12008/41118
https://doi.org/10.48550/arXiv.1010.4893