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Matrix Cofactorization for Joint Unmixing and Classification of Hyperspectral Images

Lagrange, Adrien and Fauvel, Mathieu and May, Stéphane and Bioucas-Dias, José M. and Dobigeon, Nicolas Matrix Cofactorization for Joint Unmixing and Classification of Hyperspectral Images. (2019) In: 27th European Signal Processing Conference (EUSIPCO 2019), 2 September 2019 - 6 September 2019 (A Coruna, Spain).

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Official URL: https://doi.org/10.23919/EUSIPCO.2019.8903037


This paper introduces a matrix cofactorization approach to perform spectral unmixing and classification jointly. After formulating the unmixing and classification tasks as matrix factorization problems, a link is introduced between the two coding matrices, namely the abundance matrix and the feature matrix. This coupling term can be interpreted as a clustering term where the abundance vectors are clustered and the resulting attribution vectors are then used as feature vectors. The overall non-smooth, non-convex optimization problem is solved using a proximal alternating linearized minimization algorithm (PALM) ensuring convergence to a critical point. The quality of the obtained results is finally assessed by comparison to other conventional algorithms on semi-synthetic yet realistic dataset.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org This papers appears in Proceedings of EUSIPCO 2019. Electronic ISBN: 978-9-0827-9703-9 Electronic ISSN: 2076-1465 The original PDF of the article can be found at: https://ieeexplore.ieee.org/document/8903037 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.
HAL Id:hal-02442017
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National d'Études Spatiales - CNES (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
French research institutions > Institut National de la Recherche Agronomique - INRA (FRANCE)
French research institutions > Institut de Recherche pour le Développement - IRD (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Universidade de Lisboa - ULisboa (PORTUGAL)
Laboratory name:
CNES : Centre national d'études spatiales (France) - Région Occitanie (France) - EU FP7 : European research Seventh Framework Programmes (2007-2013) (Europe)
Deposited On:19 Dec 2019 14:47

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