eprintid: 10073199
rev_number: 24
eprint_status: archive
userid: 608
dir: disk0/10/07/31/99
datestamp: 2019-05-07 11:45:06
lastmod: 2021-03-07 00:55:11
status_changed: 2019-05-07 11:45:06
type: proceedings_section
metadata_visibility: show
creators_name: Sabetsarvestani, Z
creators_name: Renna, F
creators_name: Kiraly, F
creators_name: Rodrigues, MRD
title: Source Separation in the Presence of Side Information: Necessary and Sufficient Conditions for Reliable De-Mixing
ispublished: pub
divisions: UCL
divisions: A01
divisions: B04
divisions: C05
divisions: F46
divisions: C06
divisions: F61
divisions: C04
divisions: F34
keywords: Source separation, Reliability theory, Atmospheric measurements, Particle measurements, Pollution measurement, Covariance matrices
note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
abstract: This paper puts forth new recovery guarantees for the source separation problem in the presence of side information, where one observes the linear superposition of two source signals plus two additional signals that are correlated with the mixed ones. By positing that the individual components of the mixed signals as well as the corresponding side information signals follow a joint Gaussian mixture model, we characterise necessary and sufficient conditions for reliable separation in the asymptotic regime of low-noise as a function of the geometry of the underlying signals and their interaction. In particular, we show that if the subspaces spanned by the innovation components of the source signals with respect to the side information signals have zero intersection, provided that we observe a certain number of measurements from the mixture, then we can reliably separate the sources, otherwise we cannot. We also provide a number of numerical results on synthetic data that validate our theoretical findings.
date: 2019-02-21
date_type: published
publisher: IEEE
official_url: https://doi.org/10.1109/GlobalSIP.2018.8646499
oa_status: green
full_text_type: other
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 1649478
doi: 10.1109/GlobalSIP.2018.8646499
isbn_13: 978-1-7281-1295-4
language_elements: English
lyricists_name: Kiraly, Franz
lyricists_name: Rodrigues, Miguel
lyricists_name: Sabetsarvestani, Zahra
lyricists_id: FJKIR17
lyricists_id: MRDIA06
lyricists_id: ZSABE20
actors_name: Sabetsarvestani, Zahra
actors_id: ZSABE20
actors_role: owner
full_text_status: public
publication: 2018 IEEE GLOBAL CONFERENCE ON SIGNAL AND INFORMATION PROCESSING (GLOBALSIP 2018)
place_of_pub: Danvers (MA), USA
pagerange: 351-355
pages: 5
event_title: IEEE Global Conference on Signal and Information Processing (GlobalSIP)
event_location: Anaheim (CA), USA
event_dates: 26th-29th November 2018
institution: IEEE Global Conference on Signal and Information Processing (GlobalSIP)
issn: 2376-4066
book_title: Proceedings of the 2018 IEEE Global Conference on Signal and Information Processing (GlobalSIP)
citation:        Sabetsarvestani, Z;    Renna, F;    Kiraly, F;    Rodrigues, MRD;      (2019)    Source Separation in the Presence of Side Information: Necessary and Sufficient Conditions for Reliable De-Mixing.                     In:  Proceedings of the 2018 IEEE Global Conference on Signal and Information Processing (GlobalSIP).  (pp. pp. 351-355).  IEEE: Danvers (MA), USA.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10073199/7/Rodrigues_Source%20Separation%20in%20the%20Presence%20of%20Side%20Information.%20Necessary%20and%20Sufficient%20Conditions%20for%20Reliable%20De-Mixing_AAM.pdf