A Proximal Approach to IVA-G with Convergence Guarantees

dc.contributor.authorCosserat, Clément
dc.contributor.authorGabrielson, Ben
dc.contributor.authorChouzenoux, Emilie
dc.contributor.authorPesquet, Jean-Christophe
dc.contributor.authorAdali, Tulay
dc.date.accessioned2023-07-07T14:29:26Z
dc.date.available2023-07-07T14:29:26Z
dc.date.issued2023-05-05
dc.description2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Rhodes Island, Greece, 04-10 June 2023en_US
dc.description.abstractIndependent vector analysis (IVA) generalizes independent component analysis (ICA) to multiple datasets, and when used with a multivariate Gaussian model (IVA-G), provides a powerful tool for joint analysis of multiple datasets in an array of applications. While IVA-G enjoys uniqueness guarantees, the current solution to the problem exhibits significant variability across runs necessitating the use of a scheme for selecting the most consistent one, which is costly. In this paper, we present a penalized maximum-likelihood framework for the problem, which enables us to derive a non-convex cost function that depends on the precision matrices of the source component vectors, the main mechanism by which IVA-G leverages correlation across the datasets. By adding a quadratic regularization, a block-coordinate proximal algorithm is shown to offer a suitable solution to this minimization problem. The proposed method also provides convergence guarantees that are lacking in other state-of-the-art approaches to the problem. This also allows us to obtain overall slightly better performance, and in particular, we show that our method yields better estimation in average than the current IVA-G algorithm for various source numbers, datasets, and degrees of correlation across the data.en_US
dc.description.sponsorshipE.C. acknowledges support from the ERC Starting Grant MAJORIS ERC-2019-STG-850925. Part of the work of J.-C. P. was supported by the ANR Chair in AI, BRIDGEABLE. This work was also supported in part by NSF-NCS 1631838, and NIH grants R01 MH118695, R01 MH123610, R01 AG073949.en_US
dc.description.urihttps://ieeexplore.ieee.org/document/10096421en_US
dc.format.extent5 pagesen_US
dc.genreconference papers and proceedingsen_US
dc.genrepostprintsen_US
dc.identifierdoi:10.13016/m2olmd-ybkp
dc.identifier.citationC. Cosserat, B. Gabrielson, E. Chouzenoux, J. -C. Pesquet and T. Adali, "A Proximal Approach to IVA-G with Convergence Guarantees," ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Rhodes Island, Greece, 2023, pp. 1-5, doi: 10.1109/ICASSP49357.2023.10096421.en_US
dc.identifier.urihttps://doi.org/10.1109/ICASSP49357.2023.10096421
dc.identifier.urihttp://hdl.handle.net/11603/28453
dc.language.isoen_USen_US
dc.publisherIEEEen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Computer Science and Electrical Engineering Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Student Collection
dc.rights© 2023 IEEE.  Personal use of this material is permitted.  Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.en_US
dc.titleA Proximal Approach to IVA-G with Convergence Guaranteesen_US
dc.typeTexten_US
dcterms.creatorhttps://orcid.org/0000-0001-9217-6641en_US
dcterms.creatorhttps://orcid.org/0000-0003-0594-2796en_US

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