Zobrazeno 1 - 10
of 36
pro vyhledávání: '"de Loynes, Basile"'
Publikováno v:
IEEE Transactions on Signal and Information Processing over Networks, vol. 8, pp. 788-798, 2022
Over the last decade, signal processing on graphs has become a very active area of research. Specifically, the number of applications, for instance in statistical or deep learning, using frames built from graphs, such as wavelets on graphs, has incre
Externí odkaz:
http://arxiv.org/abs/2209.02043
We present a short tutorial on to the use of the R gasper package. Gasper is a package dedicated to signal processing on graphs. It also provides an interface to the SuiteSparse Matrix Collection.
Externí odkaz:
http://arxiv.org/abs/2007.10642
Publikováno v:
Applied and Computational Harmonic Analysis, Volume 57, 2022
We propose a new point of view in the study of Fourier analysis on graphs, taking advantage of localization in the Fourier domain. For a signal $f$ on vertices of a weighted graph $\mathcal{G}$ with Laplacian matrix $\mathcal{L}$, standard Fourier an
Externí odkaz:
http://arxiv.org/abs/1906.04529
Publikováno v:
Journal of Computational and Applied Mathematics, Volume 389, 2021
This paper is devoted to adaptive signal denoising in the context of Graph Signal Processing (GSP) using Spectral Graph Wavelet Transform (SGWT). This issue is addressed \emph{via} a data-driven thresholding process in the transformed domain by optim
Externí odkaz:
http://arxiv.org/abs/1906.01882
The recurrence features of persistent random walks built from variable length Markov chains are investigated. We observe that these stochastic processes can be seen as L{\'e}vy walks for which the persistence times depend on some internal Markov chai
Externí odkaz:
http://arxiv.org/abs/1712.02999
Publikováno v:
In Applied and Computational Harmonic Analysis March 2022 57:1-26
We give a complete and unified description -- under some stability assumptions -- of the functional scaling limits associated with some persistent random walks for which the recurrent or transient type is studied in [1]. As a result, we highlight a p
Externí odkaz:
http://arxiv.org/abs/1612.00238
Publikováno v:
In Journal of Computational and Applied Mathematics June 2021 389
Autor:
De Loynes, Basile
L'étude des marches aléatoires fait apparaître des connexions entre leurs propriétés algébriques, géométriques ou encore combinatoires et leurs propriétés stochastiques. Si les marches aléatoires sur les groupes - ou sur des espaces homog
Externí odkaz:
http://tel.archives-ouvertes.fr/tel-00726483
http://tel.archives-ouvertes.fr/docs/00/72/64/83/PDF/LOYNES_Basile_de.pdf
http://tel.archives-ouvertes.fr/docs/00/72/64/83/PDF/LOYNES_Basile_de.pdf
We consider a walker that at each step keeps the same direction with a probabilitythat depends on the time already spent in the direction the walker is currently moving. In this paper, we study some asymptotic properties of this persistent random wal
Externí odkaz:
http://arxiv.org/abs/1509.03882