Distribution theory of spherical distributions and a locationscale parameter generalization, The Indian Journal of Statistics, Series A, pp.419-430, 1970. ,
Non-Gaussian random vector identification using spherically invariant random processes, IEEE Transactions on Aerospace and Electronic Systems, vol.29, issue.1, pp.111-124, 1993. ,
Computer generation of correlated non-Gaussian radar clutter, IEEE Transactions on Aerospace and Electronic Systems, vol.31, issue.1, pp.106-116, 1995. ,
Statistical Distributions in Scientific Work, I. Dordrecht: Reidel, 1968, ch. Multivariate distributions at a cross road, pp.247-270 ,
,
Stochastic gradient descent on riemannian manifolds, IEEE Transactions on Automatic Control, 2013. ,
Averaging stochastic gradient descent on Riemannian manifolds, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01957015
Recursive parameter estimation in a Riemannian manifold, 2018. ,
Optimization algorithms on matrix manifolds ,
,
, , 2001.
Methods of information geometry ,
, American Mathematical Soc, 2007.
Geodesic estimation in elliptical distributions, Journal of Multivariate Analysis, vol.63, issue.1, pp.35-46, 1997. ,
On the geometry of multivariate generalized Gaussian models, Journal of mathematical imaging and vision, vol.43, issue.3, pp.180-193, 2012. ,
Geodesics on the manifold of multivariate generalized Gaussian distributions with an application to multicomponent texture discrimination, International Journal of Computer Vision, vol.95, issue.3, p.265, 2011. ,
Multivariate generalized gaussian distribution: Convexity and graphical models ,
, IEEE Transactions on Signal Processing, issue.16, pp.4141-4148, 2013.
First-order methods for geodesically convex optimization, Conference on Learning Theory, pp.1617-1638, 2016. ,
Covariance structure maximumlikelihood estimates in compound Gaussian noise: Existence and algorithm analysis, IEEE Transactions on Signal Processing, vol.56, issue.1, pp.34-48, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-01816367
Exact maximum likelihood estimates for SIRV covariance matrix: Existence and algorithm analysis, IEEE Transactions on signal processing, vol.56, issue.10, pp.4563-4573, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00353594
Robust M-estimators of multivariate location and scatter, The annals of statistics, pp.51-67, 1976. ,
Parameter estimation for multivariate generalized Gaussian distributions, IEEE Transactions on Signal Processing, issue.23, pp.5960-5971, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00879851
A new riemannian averaged fixed-point algorithm for MGGD parameter estimation, IEEE Signal Processing Letters, vol.22, issue.12, pp.2314-2318, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01230086
Conic geometric optimization on the manifold of positive definite matrices, SIAM Journal on Optimization, vol.25, issue.1, pp.713-739, 2015. ,
A Riemannian framework for tensor computing, International Journal of computer vision, vol.66, issue.1, pp.41-66, 2006. ,
URL : https://hal.archives-ouvertes.fr/inria-00070743
Multivariate statistical modeling of images with the curvelet transform ,
URL : https://hal.archives-ouvertes.fr/hal-01088628
, , pp.747-750, 2005.
Image denoising based on wavelet shrinkage using neighbor and level dependency, vol.7, pp.299-311, 2009. ,
Multiscale colour texture retrieval using the geodesic distance between multivariate generalized Gaussian models, 15th IEEE International Conference on Image Processing, pp.169-172, 2008. ,
Image thresholding based on the EM algorithm and the generalized Gaussian distribution, Pattern Recognition, vol.40, pp.619-634, 2007. ,
A wavelet-based approach for analyzing industrial stochastic textures with applications, IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans, vol.37, pp.10-22, 2006. ,
Robust Gaussian and non-Gaussian matched subspace detection, IEEE Transactions on Signal Processing, vol.51, issue.12, pp.3115-3127, 2003. ,
Adaptive subband video coding using bivariate generalized Gaussian distribution model, IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings, vol.4, pp.1990-1993, 1996. ,
Image and video denoising using adaptive dual-tree discrete wavelet packets, IEEE transactions on circuits and systems for video technology, vol.19, pp.642-655, 2009. ,
Bayesian learning of generalized Gaussian mixture models on biomedical images, IAPR Workshop on Artificial Neural Networks in Pattern Recognition, pp.207-218, 2010. ,
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. 9th printing, pp.258-259, 1972. ,
Natural gradient works efficiently in learning, Neural computation, vol.10, issue.2, pp.251-276, 1998. ,