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Riemannian geometry for compound Gaussian distributions: Application to recursive change detection

Florent Bouchard , Ammar Mian , Jialun Zhou , Salem Said , Guillaume Ginolhac , et al.
Signal Processing, 2020, 176, pp.107716. ⟨10.1016/j.sigpro.2020.107716⟩
Article dans une revue hal-02972691v1

A stability approach to the analysis of rotation time series

Salem Said , Nicolas Le Bihan , Stephen Sangwine
SYSID 2009 - 15th IFAC Symposium on System Identification, Jul 2009, Saint-Malo, France. pp.190, ⟨10.3182/20090706-3-FR-2004.00241⟩
Communication dans un congrès hal-00367820v1
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Recursive algorithm for estimation of mixture models on Riemannian symmetric space

Jialun Zhou , Nicolas Le Bihan , Salem Said
GRETSI 2019 - XXVIIème Colloque francophone de traitement du signal et des images, Aug 2019, Lille, France
Communication dans un congrès hal-02927638v1
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Texture classification using Rao's distance: an EM algorithm on the Poincaré half plane

Salem Said , Lionel Bombrun , Yannick Berthoumieu
IEEE International Conference on Image Processing (ICIP), Sep 2015, Québec, Canada
Communication dans un congrès hal-01229049v1
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Riemannian statistics meets random matrix theory: towards learning from high-dimensional covariance matrices

Salem Said
IEEE Transactions on Information Theory, 2023, 69 (1), pp.472-481. ⟨10.1109/TIT.2022.3199479⟩
Article dans une revue hal-03865913v1

Decompounding on compact Lie groups

Salem Said , Christian Lageman , Nicolas Le Bihan , Jonathan Manton
IEEE Transactions on Information Theory, 2010, 56 (6), pp.2766-2777. ⟨10.1109/TIT.2010.2046216⟩
Article dans une revue hal-00515688v1
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Online estimation of MGGD : the Riemannian Averaged Natural Gradient method

Jialun Zhou , Salem Said , Yannick Berthoumieu
2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), Dec 2019, Le gosier, France. pp.515-519, ⟨10.1109/CAMSAP45676.2019.9022517⟩
Communication dans un congrès hal-02530279v1
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Maximum likelihood estimators on manifolds

Hatem Hajri , Salem Said , Yannick Berthoumieu
2017
Pré-publication, Document de travail hal-01500284v1
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A GEOMETRIC LEARNING APPROACH ON THE SPACE OF COMPLEX COVARIANCE MATRICES

Hatem Hajri , Salem Said , Lionel Bombrun , Yannick Berthoumieu
2017
Pré-publication, Document de travail hal-01483449v1
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Parameters estimate of Riemannian Gaussian distribution in the manifold of covariance matrices

Paolo Zanini , Marco Congedo , Christian Jutten , Salem Said , Yannick Berthoumieu
SAM 2016 - 9th IEEE Sensor Array and Multichannel Signal Processing Workshop, Jul 2016, Rio de Janeiro, Brazil
Communication dans un congrès hal-01325055v1
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Covariance matrices encoding based on the log-Euclidean and affine invariant Riemannian metrics

Ioana Ilea , Lionel Bombrun , Salem Said , Yannick Berthoumieu
The IEEE Conference on Computer Vision and Pattern Recognition (CVPR) Workshops, 2018, Salt Lake City, United States. ⟨10.1109/CVPRW.2018.00080⟩
Communication dans un congrès hal-01930136v1
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Riemannian information gradient methods for the parameter estimation of ECD : Some applications in image processing

Jialun Zhou , Salem Said , Yannick Berthoumieua
Signal Processing, 2022, ⟨10.1016/j.sigpro.2021.108376⟩
Article dans une revue hal-03866181v1
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Fisher Vector Coding for Covariance Matrix Descriptors Based on the Log-Euclidean and Affine Invariant Riemannian Metrics

Ioana Ilea , Lionel Bombrun , Salem Said , Yannick Berthoumieu
Journal of Imaging, 2018, 4 (7), ⟨10.3390/jimaging4070085⟩
Article dans une revue hal-01930149v1
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Geometric Learning of Hidden Markov Models via a Method of Moments Algorithm

Berlin Chen , Cyrus Mostajeran , Salem Said
International Conference on Bayesian and Maximum Entropy methods in Science and Engineering -MaxEnt 2022, Jul 2022, Paris, France. pp.10, ⟨10.3390/psf2022005010⟩
Communication dans un congrès hal-04270489v1
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Determinantal Expressions of Certain Integrals on Symmetric Spaces

Salem Said , Cyrus Mostajeran
6th Geometric Science of Information 2023 (GSI 2023), Aug 2023, Saint Malo, France. pp.436-443, ⟨10.1007/978-3-031-38271-0_43⟩
Communication dans un congrès hal-04270498v1
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Exact Principal Geodesic Analysis for Data on SO(3)

Salem Said , Nicolas Courty , Nicolas Le Bihan , Stephen J. Sangwine
EUSIPCO 2007 - 15th European Signal Processing Conference, Sep 2007, Poznan, Poland. pp.1700-1705
Communication dans un congrès hal-00494170v1
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Co-occurrence Matrix of Covariance Matrices: A Novel Coding Model for the Classification of Texture Images

Ioana Ilea , Lionel Bombrun , Salem Said , Yannick Berthoumieu
3rd conference on Geometric Science of Information, Nov 2017, Paris, France
Communication dans un congrès hal-01629171v1
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Texture Classification Using Rao’s Distance on the Space of Covariance Matrices

Salem Said , Lionel Bombrun , Yannick Berthoumieu
Geometric Science of Information, 2015, Paris, France. pp.371-378, ⟨10.1007/978-3-319-25040-3_40⟩
Communication dans un congrès hal-01228766v1
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An M-estimator for robust centroid estimation on the manifold of covariance matrices: performance analysis and application to image classification

Ioana Ilea , Hatem Hajri , Salem Said , Lionel Bombrun , Christian Germain , et al.
24th European Signal Processing Conference (EUSIPCO'16), Aug 2016, Budapest, Hungary. pp.2196 - 2200
Communication dans un congrès hal-01379604v1
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Riemannian Online Algorithms for Estimating Mixture Model Parameters

Paolo Zanini , Salem Said , Yannick Berthoumieu , Marco Congedo , Christian Jutten
GSI 2017 - Geometric Science of Information, Nov 2017, Paris, France. ⟨10.1007/978-3-319-68445-1_78⟩
Communication dans un congrès hal-01630177v1

Filtering from Observations on Stiefel Manifolds

Jérémie Boulanger , Salem Said , Nicolas Le Bihan , Jonathan H. Manton
Signal Processing, 2015, 122, pp.52-64. ⟨10.1016/j.sigpro.2015.11.012⟩
Article dans une revue hal-01240547v1

Inférence statistique sur la fonction de phase des milieux aléatoires par diffusion multiple des ondes

Nicolas Le Bihan , Ludovic Margerin , Salem Said
GRETSI 2009 - XXIIème Colloque francophone de traitement du signal et des images, Sep 2009, Dijon, France. pp.318
Communication dans un congrès hal-00404220v1

Decompounding on compact Lie groups

Salem Said , Christian Lageman , Nicolas Le Bihan , Ludovic Margerin , Jonathan Manton
IMA Conference on Mathematics in Signal, Dec 2008, Cirencester, United Kingdom
Communication dans un congrès hal-00337673v1
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Riemannian Laplace distribution on the space of symmetric positive definite matrices

Hatem Hajri , Ioana Ilea , Salem Said , Lionel Bombrun , Yannick Berthoumieu
2015
Pré-publication, Document de travail hal-01248573v1
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Classification approach based on the product of riemannian manifolds from Gaussian parametrization space

Yannick Berthoumieu , Lionel Bombrun , Christian Germain , Salem Said
2017 IEEE International Conference on Image Processing (ICIP), Sep 2017, Beijing, France. ⟨10.1109/ICIP.2017.8296272⟩
Communication dans un congrès hal-01716919v1
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Invariant kernels on the space of complex covariance matrices

Cyrus Mostajeran , Salem Said
2024
Pré-publication, Document de travail hal-04525081v1
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Gaussian distributions on Riemannian symmetric spaces of non-positive curvature

Salem Said , Cyrus Mostajeran , Simon Heuveline
Handbook of Statistics Vol 46, pp.357-400, 2022
Chapitre d'ouvrage hal-03865789v1

Stationary random fields arising from second order partial differential equations on compact Lie groups

Salem Said , Pierre-Olivier Amblard , Jonathan Manton
IEEE Transactions on Information Theory, 2013, 59 (6), pp.3497-3513. ⟨10.1109/TIT.2013.2243202⟩
Article dans une revue hal-00927668v1
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Adaptive online estimation for mixtures of ECD: a geometric approach

Jialun Zhou , Salem Said , Yannick Berthoumieu
2023
Pré-publication, Document de travail hal-04270504v1
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Geometric Learning with Positively Decomposable Kernels

Nathaël da Costa , Cyrus Mostajeran , Juan-Pablo Ortega , Salem Said
2023
Pré-publication, Document de travail hal-04270518v1