Výsledky vyhledávání - "Jean-Claude Fort"

Global sensitivity analysis and Wasserstein spaces

Autor: Thierry Klein, Agnès Lagnoux, Jean-Claude Fort

Publikováno v: SIAM/ASA Journal on Uncertainty Quantification
SIAM/ASA Journal on Uncertainty Quantification, 2021, 9 (2), ⟨10.1137/20M1354957⟩

International audience; Sensitivity indices are commonly used to quantity the relative inuence of any specic group of input variables on the output of a computer code. In this paper, we focus both on computer codes the output of which is a cumulative

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49a646cd8f174d37ff38f610a8f00b80
http://arxiv.org/abs/2007.12378

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A Central Limit Theorem for Wasserstein type distances between two distinct univariate distributions

Autor: Jean-Claude Fort, Philippe Berthet, Thierry Klein

Publikováno v: Ann. Inst. H. Poincaré Probab. Statist. 56, no. 2 (2020), 954-982
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), 2020, 56 (2), pp.954-982. ⟨10.1214/19-AIHP990⟩
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2020, 56 (2), pp.954-982. ⟨10.1214/19-AIHP990⟩

International audience; In this article we study the natural nonparametric estimator of a Wasserstein type cost between two distinct continuous distributions Fand G on R. The estimator is based on the order statistics of a sample having marginals F,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9aee2202e6ac45badb1de37db279f6a8
https://projecteuclid.org/euclid.aihp/1584345626

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Exact rate of convergence of the expected $W_{2}$ distance between the empirical and true Gaussian distribution

Autor: Jean Claude Fort, Philippe Berthet

Publikováno v: Electronic Journal of Probability
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2020, 25, pp.12. ⟨10.1214/19-EJP410⟩
Electronic Journal of Probability, 2020, 25, pp.12. ⟨10.1214/19-EJP410⟩
Electron. J. Probab.

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.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15e79ecd38f009801146c0b84849770f
https://hal.archives-ouvertes.fr/hal-02495832/document

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Integrity Based on MT28 for EGNOS: New Algorithm Formulation & Results

Autor: Sébastien Trilles, Jean-Claude Fort, Thierry Authié, Jean-Marc Azaïs

Publikováno v: Proceedings of the 30th International Technical Meeting of The Satellite Division of the Institute of Navigation (ION GNSS+ 2017).

The purpose of a Satellite Based Augmentation System, such as EGNOS or WAAS, is to decompose all range error sources and to distribute them to the civil aviation user community with reliable navigation services for different flight phases. Integrity

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::edf7f3905cfbc47ad1f8230a409fe37a
https://doi.org/10.33012/2017.15143

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Average Competitive Learning Vector Quantization

Autor: Li-Vang Lozada-Chang, Luis A. Salomón, Jean-Claude Fort

Publikováno v: MAP5 2012-10. 2012

We propose a new algorithm for vector quantization:Average Competitive Learning Vector Quantization (ACLVQ). It is a rather simple modification of the classical Competitive Learning Vector Quantization (CLVQ). This new formulation give us similar res

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b68391de50847b934fe178a07e10006
https://doi.org/10.1080/03610918.2012.733469

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Estimation of the Hurst parameter in some fractional processes

Autor: Luis A. Salomón, Jean-Claude Fort

Publikováno v: Journal of Statistical Computation and Simulation. 83:542-554

We propose to estimate the Hurst parameter involved in fractional processes via a method based on the Karhunen–Loeve expansion of a Gaussian process. We specifically investigate the cases of the fractional Brownian motion, the fractional Ornstein�

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1b52de64b8ece954f03b6b51b94d1a8e
https://doi.org/10.1080/00949655.2011.624098

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Early diagnosis of Alzheimer's disease using cortical thickness: impact of cognitive reserve

Autor: Jean-François Démonet, Michèle Puel, Florent Aubry, Pierre Celsis, Jean-Albert Lotterie, Véronique Duret, Isabelle Berry, Jean-Claude Fort, O Querbes, Jérémie Pariente

Publikováno v: Brain

Brain atrophy measured by magnetic resonance structural imaging has been proposed as a surrogate marker for the early diagnosis of Alzheimer's disease. Studies on large samples are still required to determine its practical interest at the individual

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0f5a92a7c645bd28b897d09ed82579f
https://doi.org/10.1093/brain/awp105

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Local Distortion andμ-Mass of the Cells of One Dimensional Asymptotically Optimal Quantizers

Autor: Sylvain Delattre, Jean-Claude Fort, Gilles Pagès

Publikováno v: Communications in Statistics - Theory and Methods. 33:1087-1117

We consider one dimensional probability distributions μ having a continuous and positive probability density function. We find the asymptotic of the size and the mass of the Voronoi cells and we prove that the local distortion associated with statio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::092fed611db27495414c1d85bfe54c9f
https://doi.org/10.1081/sta-120029827

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Asymptotics of optimal quantizers for some scalar distributions

Autor: Gilles Pagès, Jean-Claude Fort

Publikováno v: Journal of Computational and Applied Mathematics. 146(2):253-275

We obtain semi-closed forms for the optimal quantizers of some families of one-dimensional probability distributions. They yield the first examples of non-log-concave distributions for which uniqueness holds. We give two types of applications of thes

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Asymptotic Behavior of a Markovian Stochastic Algorithm with Constant Step

Autor: Gilles Pagès, Jean-Claude Fort

Publikováno v: SIAM Journal on Control and Optimization. 37:1456-1482

We first derive from abstract results on Feller transition kernels that, under some mild assumptions, a Markov stochastic algorithm with constant step size $\varepsilon$ usually has a tight family of invariant distributions $\nu^{\varepsilon}$, $\var

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7304941d7fcb83dec5bd3f7e1e9139a0
https://doi.org/10.1137/s0363012997328610

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