Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Stéphane Chrétien"'
Publikováno v:
Mathematics, Vol 10, Iss 21, p 4009 (2022)
This work addresses the robust counterpart of the shortest path problem (RSPP) with a correlated uncertainty set. Because this problem is difficult, a heuristic approach, based on Frank–Wolfe’s algorithm named discrete Frank–Wolfe (DFW), has re
Externí odkaz:
https://doaj.org/article/ce041c7274d8491594343edd952efb37
Publikováno v:
Informatics in Medicine Unlocked, Vol 19, Iss , Pp 100287- (2020)
Background: Optical Coherence Tomography (OCT) is an emerging medical imaging technology. It is well suited to various medical applications requiring tissue imaging with micrometer resolution and millimeter penetration depth such as in ophthalmology
Externí odkaz:
https://doaj.org/article/b547b2271abb462ab969b21c6babb71f
Publikováno v:
Mathematics, Vol 9, Iss 22, p 2960 (2021)
The reconstruction problem in X-ray computed tomography (XCT) is notoriously difficult in the case where only a small number of measurements are made. Based on the recently discovered Compressed Sensing paradigm, many methods have been proposed in or
Externí odkaz:
https://doaj.org/article/733437f6dba0467bbaad331145c0e46a
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 5 (2019)
This paper proposes a method for estimating the cluster matrix in the Gaussian mixture framework via Semi-Definite Programming. Theoretical error bounds are provided and a (non linear) low dimensional embedding of the data is deduced from the cluster
Externí odkaz:
https://doaj.org/article/8968f307a732457a8068ed276b831751
Autor:
Stéphane Chrétien, Pascal Bondon
Publikováno v:
Mathematics, Vol 8, Iss 7, p 1108 (2020)
Many problems in medical image reconstruction and machine learning can be formulated as nonconvex set theoretic feasibility problems. Among efficient methods that can be put to work in practice, successive projection algorithms have received a lot of
Externí odkaz:
https://doaj.org/article/49a004ce9382433fae77026a7be5109a
Publikováno v:
Mathematics, Vol 8, Iss 4, p 628 (2020)
Reconstruction of 3D objects in various tomographic measurements is an important problem which can be naturally addressed within the mathematical framework of 3D tensors. In Optical Coherence Tomography, the reconstruction problem can be recast as a
Externí odkaz:
https://doaj.org/article/a421f4415ac948e2947e389cf5ed982d
Publikováno v:
Mathematics, Vol 8, Iss 4, p 493 (2020)
This paper studies the problem of efficiently tuning the hyper-parameters in penalised least-squares reconstruction for XCT. Discovered through the lens of the Compressed Sensing paradigm, penalisation functionals such as Total Variation types of nor
Externí odkaz:
https://doaj.org/article/cdeabcedaa054a5cad6d429588946042
Publikováno v:
Mathematics, Vol 6, Iss 7, p 124 (2018)
In this note, we present a component-wise algorithm combining several recent ideas from signal processing for simultaneous piecewise constants trend, seasonality, outliers, and noise decomposition of dynamical time series. Our approach is entirely ba
Externí odkaz:
https://doaj.org/article/c83cb0dbe644497eadb46157da16c466
Autor:
Stéphane Chrétien, Juan-Pablo Ortega
Publikováno v:
Mathematics, Vol 6, Iss 3, p 35 (2018)
The Hilbert metric is a widely used tool for analysing the convergence of Markov processes and the ergodic properties of deterministic dynamical systems. A useful representation formula for the Hilbert metric was given by Liverani. The goal of the pr
Externí odkaz:
https://doaj.org/article/ee156e29a91b4c54918bcebac5974538
Autor:
Christophe Guyeux, Gaby Bou Tayeh, Abdallah Makhoul, Stéphane Chrétien, Julien Bourgeois, Jacques M. Bahi
Publikováno v:
The Journal of Supercomputing. 79:7160-7175