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pro vyhledávání: '"Berthet, Philippe"'
In the context of generating geological facies conditioned on observed data, samples corresponding to all possible conditions are not generally available in the training set and hence the generation of these realizations depends primary on the genera
Externí odkaz:
http://arxiv.org/abs/2205.05469
In this work, we investigate the capacity of Generative Adversarial Networks (GANs) in interpolating and extrapolating facies proportions in a geological dataset. The new generated realizations with unrepresented (aka. missing) proportions are assume
Externí odkaz:
http://arxiv.org/abs/2203.09639
Autor:
Berthet, Philippe, Einmahl, John H. J.
Given $n$ independent random vectors with common density $f$ on $\mathbb{R}^d$, we study the weak convergence of three empirical-measure based estimators of the convex $\lambda$-level set $L_\lambda$ of $f$, namely the excess mass set, the minimum vo
Externí odkaz:
http://arxiv.org/abs/2006.02229
Autor:
Berthet, Philippe, Fort, Jean-Claude
Publikováno v:
Electron. J. Probab. 25 (2020)
We study the Wasserstein distance $W_2$ for Gaussian samples. We establish the exact rate of convergence $\sqrt{\log\log n/n}$ of the expected value of the $W_2$ distance between the empirical and true $c.d.f.$'s for the normal distribution. We also
Externí odkaz:
http://arxiv.org/abs/2001.09817
Autor:
Berthet, Philippe, Fort, Jean-Claude
We estimate contrasts $\int_0 ^1 \rho(F^{-1}(u)-G^{-1}(u))du$ between two continuous distributions $F$ and $G$ on $\mathbb R$ such that the set $\{F=G\}$ is a finite union of intervals, possibly empty or $\mathbb{R}$. The non-negative convex cost fun
Externí odkaz:
http://arxiv.org/abs/1911.02389
Autor:
Barrela, Eduardo1 (AUTHOR) eduardo-jose.airoso-barrela@totalenergies.com, Berthet, Philippe1 (AUTHOR) eduardo-jose.airoso-barrela@totalenergies.com, Trani, Mario1 (AUTHOR), Thual, Olivier2 (AUTHOR), Lapeyre, Corentin2 (AUTHOR)
Publikováno v:
Energies (19961073). Dec2023, Vol. 16 Issue 24, p7984. 23p.
Autor:
Albertus, Mickael, Berthet, Philippe
We study the empirical measure associated to a sample of size $n$ and modified by $N$ iterations of the raking-ratio method. This empirical measure is adjusted to match the true probability of sets in a finite partition which changes each step. We es
Externí odkaz:
http://arxiv.org/abs/1803.06907
This article is dedicated to the estimation of Wasserstein distances and Wasserstein costs between two distinct continuous distributions $F$ and $G$ on $\mathbb R$. The estimator is based on the order statistics of (possibly dependent) samples of $F$
Externí odkaz:
http://arxiv.org/abs/1710.09763
We define the quantile set of order $\alpha \in \left[ 1/2,1\right) $ associated to a law $P$ on $\mathbb{R}^{d}$ to be the collection of its directional quantiles seen from an observer $O\in \mathbb{R}^{d}$. Under minimal assumptions these star-shap
Externí odkaz:
http://arxiv.org/abs/1607.02604
Autor:
Berthet, Philippe, Mason, David M.
Publikováno v:
IMS Lecture Notes Monograph Series 2006, Vol. 51, 155-172
We demonstrate the strength of a coupling derived from a Gaussian approximation of Zaitsev (1987a) by revisiting two strong approximation results for the empirical process of Dudley and Philipp (1983), and using the coupling to derive extended and re
Externí odkaz:
http://arxiv.org/abs/math/0612701