Collaborative sources identification in mixed signals via hierarchical sparse modeling
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.
2011 | |
Computer vision Pattern recognition |
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Inglés | |
Universidad de la República | |
COLIBRI | |
https://hdl.handle.net/20.500.12008/41118
https://doi.org/10.48550/arXiv.1010.4893 |
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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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collection | COLIBRI |
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. |
eu_rights_str_mv | openAccess |
format | article |
id | COLIBRI_73ea17854b4cba053ad035dbc0d3eb98 |
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 |
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:20.500.12008/41118 |
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 |