F
Fabrice Gamboa
Researcher at Institut de Mathématiques de Toulouse
Publications - 166
Citations - 3105
Fabrice Gamboa is an academic researcher from Institut de Mathématiques de Toulouse. The author has contributed to research in topics: Estimator & Measure (mathematics). The author has an hindex of 28, co-authored 159 publications receiving 2647 citations. Previous affiliations of Fabrice Gamboa include École Polytechnique & University of Picardie Jules Verne.
Papers
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Exact reconstruction using Beurling minimal extrapolation
Yohann De Castro,Fabrice Gamboa +1 more
TL;DR: In this article, it was shown that measures with finite support on the real line are the unique solution to generalized minimal extrapolation, involving only a finite number of generalized moments (which encompass the standard moments, the Laplace transform, the Stieltjes transformation, etc.).
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Spike detection from inaccurate samplings
TL;DR: This article investigates the support detection problem using the LASSO estimator in the space of measures using an explicit quantitative localization of the spikes using an $\ell_{1}$-regularization procedure.
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Local Polynomial Estimation for Sensitivity Analysis on Models With Correlated Inputs
TL;DR: In this article, the sensitivity indexes when the inputs of a model are not independent are derived from local polynomial techniques, which have good theoretical properties, which are illustrated through analytical examples.
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Large deviations for quadratic forms of stationary Gaussian processes
TL;DR: A large deviation principle is proved for Toeplitz quadratic forms of centred stationary Gaussian processes and some statistical applications such as the likelihood ratio test and the estimation of the parameter of an autoregressive Gaussian process are provided.
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Generalized Hoeffding-Sobol Decomposition for Dependent Variables -Application to Sensitivity Analysis
TL;DR: In this article, a generalized Hoeffding-Sobol decomposition is used to measure the sensitivity of the output with respect to the input variables, and the estimation of these new indices is discussed.