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Authors: Miguel Almeida 1 ; Ricardo Vigário 2 and José Bioucas-Dias 3

Affiliations: 1 Instituto Superior Técnico and Aalto University School of Science, Portugal ; 2 Aalto University School of Science, Finland ; 3 Instituto Superior Técnico, Portugal

Keyword(s): Matrix factorization, Phase synchrony, Phase-locking, Independent component analysis, Blind source separation, Convex optimization.

Related Ontology Subjects/Areas/Topics: Convex Optimization ; ICA, PCA, CCA and other Linear Models ; Matrix Factorization ; Pattern Recognition ; Theory and Methods

Abstract: Phase Locked Matrix Factorization (PLMF) is an algorithm to perform separation of synchronous sources. Such a problem cannot be addressed by orthodox methods such as Independent Component Analysis, because synchronous sources are highly mutually dependent. PLMF separates available data into the mixing matrix and the sources; the sources are then decomposed into amplitude and phase components. Previously, PLMF was applicable only if the oscillatory component, common to all synchronized sources, was known, which is clearly a restrictive assumption. The main goal of this paper is to present a version of PLMF where this assumption is no longer needed – the oscillatory component can be estimated alongside all the other variables, thus making PLMF much more applicable to real-world data. Furthermore, the optimization procedures in the original PLMF are improved. Results on simulated data illustrate that this new approach successfully estimates the oscillatory component, together with the r emaining variables, showing that the general problem of separation of synchronous sources can now be tackled. (More)

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Paper citation in several formats:
Almeida, M.; Vigário, R. and Bioucas-Dias, J. (2012). ESTIMATION OF THE COMMON OSCILLATION FOR PHASE LOCKED MATRIX FACTORIZATION. In Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods - Volume 2: ICPRAM; ISBN 978-989-8425-98-0; ISSN 2184-4313, SciTePress, pages 78-85. DOI: 10.5220/0003774300780085

@conference{icpram12,
author={Miguel Almeida. and Ricardo Vigário. and José Bioucas{-}Dias.},
title={ESTIMATION OF THE COMMON OSCILLATION FOR PHASE LOCKED MATRIX FACTORIZATION},
booktitle={Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods - Volume 2: ICPRAM},
year={2012},
pages={78-85},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003774300780085},
isbn={978-989-8425-98-0},
issn={2184-4313},
}

TY - CONF

JO - Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods - Volume 2: ICPRAM
TI - ESTIMATION OF THE COMMON OSCILLATION FOR PHASE LOCKED MATRIX FACTORIZATION
SN - 978-989-8425-98-0
IS - 2184-4313
AU - Almeida, M.
AU - Vigário, R.
AU - Bioucas-Dias, J.
PY - 2012
SP - 78
EP - 85
DO - 10.5220/0003774300780085
PB - SciTePress