A survey of stochastic simulation and optimization methods in signal processing

M Pereyra, P Schniter, E Chouzenoux… - IEEE Journal of …, 2015 - ieeexplore.ieee.org
Modern signal processing (SP) methods rely very heavily on probability and statistics to
solve challenging SP problems. SP methods are now expected to deal with ever more …

Lidar waveform-based analysis of depth images constructed using sparse single-photon data

Y Altmann, X Ren, A McCarthy… - … on Image Processing, 2016 - ieeexplore.ieee.org
This paper presents a new Bayesian model and algorithm used for depth and reflectivity
profiling using full waveforms from the time-correlated single-photon counting measurement …

Object depth profile and reflectivity restoration from sparse single-photon data acquired in underwater environments

A Halimi, A Maccarone, A McCarthy… - IEEE Transactions …, 2017 - ieeexplore.ieee.org
This paper presents two new algorithms for the joint restoration of depth and reflectivity (DR)
images constructed from time-correlated single-photon counting measurements. Two …

Scalable Bayesian uncertainty quantification in imaging inverse problems via convex optimization

A Repetti, M Pereyra, Y Wiaux - SIAM Journal on Imaging Sciences, 2019 - SIAM
We propose a Bayesian uncertainty quantification method for large-scale imaging inverse
problems. Our method applies to all Bayesian models that are log-concave, where maximum …

Maximum likelihood estimation of regularization parameters in high-dimensional inverse problems: An empirical bayesian approach part i: Methodology and …

AF Vidal, V De Bortoli, M Pereyra, A Durmus - SIAM Journal on Imaging …, 2020 - SIAM
Many imaging problems require solving an inverse problem that is ill-conditioned or ill-
posed. Imaging methods typically address this difficulty by regularizing the estimation …

Unsupervised unmixing of hyperspectral images accounting for endmember variability

A Halimi, N Dobigeon… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
This paper presents an unsupervised Bayesian algorithm for hyperspectral image unmixing,
accounting for endmember variability. The pixels are modeled by a linear combination of …

Maximum-a-posteriori estimation with unknown regularisation parameters

M Pereyra, JM Bioucas-Dias… - 2015 23rd European …, 2015 - ieeexplore.ieee.org
This paper presents two hierarchical Bayesian methods for performing maximum-a-
posteriori inference when the value of the regularisation parameter is unknown. The …

Variational bayesian inference for infinite generalized inverted dirichlet mixtures with feature selection and its application to clustering

T Bdiri, N Bouguila, D Ziou - Applied Intelligence, 2016 - Springer
We developed a variational Bayesian learning framework for the infinite generalized
Dirichlet mixture model (ie a weighted mixture of Dirichlet process priors based on the …

Joint segmentation and deconvolution of ultrasound images using a hierarchical Bayesian model based on generalized Gaussian priors

N Zhao, A Basarab, D Kouamé… - IEEE transactions on …, 2016 - ieeexplore.ieee.org
This paper proposes a joint segmentation and deconvolution Bayesian method for medical
ultrasound (US) images. Contrary to piecewise homogeneous images, US images exhibit …

Fast unsupervised bayesian image segmentation with adaptive spatial regularisation

M Pereyra, S McLaughlin - IEEE Transactions on Image …, 2017 - ieeexplore.ieee.org
This paper presents a new Bayesian estimation technique for hidden Potts-Markov random
fields with unknown regularisation parameters, with application to fast unsupervised K-class …