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pro vyhledávání: '"Bonis, Thomas"'
The notion of Laplacian of a graph can be generalized to simplicial complexes and hypergraphs, and contains information on the topology of these structures. Even for a graph, the consideration of associated simplicial complexes is interesting to unde
Externí odkaz:
http://arxiv.org/abs/2404.08803
Autor:
Bonis, Thomas
We provide new bounds for the rate of convergence of the multivariate Central Limit Theorem in Wasserstein distances of order $p \geq 2$. In particular, we obtain what we conjecture to be the asymptotically optimal rate whenever the density of the su
Externí odkaz:
http://arxiv.org/abs/2305.14248
We consider a signal composed of several periods of a periodic function, of which we observe a noisy reparametrisation. The phase estimation problem consists of finding that reparametrisation, and, in particular, the number of observed periods. Exist
Externí odkaz:
http://arxiv.org/abs/2205.14390
Autor:
Bonis, Thomas
We provide a general steady-state diffusion approximation result which bounds the Wasserstein distance between the reversible measure $\mu$ of a diffusion process and the measure $\nu$ of an approximating Markov chain. Our result is obtained thanks t
Externí odkaz:
http://arxiv.org/abs/2202.03928
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Autor:
Bonis, Thomas
We use Stein's method to bound the Wasserstein distance of order $2$ between a measure $\nu$ and the Gaussian measure using a stochastic process $(X_t)_{t \geq 0}$ such that $X_t$ is drawn from $\nu$ for any $t > 0$. If the stochastic process $(X_t)_
Externí odkaz:
http://arxiv.org/abs/1905.13615
Autor:
Bonis, Thomas
Dans cette thèse, on s'intéresse à des algorithmes d'analyse de données utilisant des marches aléatoires sur des graphes de voisinage, ou graphes géométriques aléatoires, construits à partir des données. On sait que les marches aléatoires
Externí odkaz:
http://www.theses.fr/2016SACLS459/document
Autor:
Bonis, Thomas
We study the problem of sampling from a distribution $\target$ using the Langevin Monte Carlo algorithm and provide rate of convergences for this algorithm in terms of Wasserstein distance of order $2$. Our result holds as long as the continuous diff
Externí odkaz:
http://arxiv.org/abs/1602.02616
Autor:
Bonis, Thomas
We present a way to use Stein's method in order to bound the Wasserstein distance of order $2$ between two measures $\nu$ and $\mu$ supported on $\mathbb{R}^d$ such that $\mu$ is the reversible measure of a diffusion process. In order to apply our re
Externí odkaz:
http://arxiv.org/abs/1506.06966
Akademický článek
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