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- Université Toulouse III - Paul SabatierFR936 papers
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8 papers · 2 filters
The sample complexity of level set approximation
François Bachoc, Tommaso Cesari, Sébastien Gerchinovitz
We study the problem of approximating the level set of an unknown function by sequentially querying its values. We introduce a family of algorithms called Bisect and Approximate th…
Sequential construction and dimension reduction of Gaussian processes under constraints
François Bachoc, Andrés F. López Lopera, Olivier Roustant
Accounting for inequality constraints, such as boundedness, monotonicity or convexity, is challenging when modeling costly-to-evaluate black box functions. In this regard, finite-d…
An information geometry approach for robustness analysis in uncertainty quantification of computer codes
Clement Gauchy, Jerome Stenger, Roman Sueur +1
Robustness analysis is an emerging field in the domain of uncertainty quantification. It consists of analysing the response of a computer model with uncertain inputs to the perturb…
Cube root weak convergence of empirical estimators of a density level set
Philippe Berthet, John H. J. Einmahl
Given independent random vectors with common density on , we study the weak convergence of three empirical-measure based estimators of the convex -level se…
Global Sensitivity Analysis: a new generation of mighty estimators based on rank statistics
Fabrice Gamboa, Pierre Gremaud, Thierry Klein +1
We propose a new statistical estimation framework for a large family of global sensitivity analysis methods. Our approach is based on rank statistics and uses an empirical correlat…
A Visual Sensitivity Analysis for Parameter-Augmented Ensembles of Curves
Alejandro Ribes, Joachim Pouderoux, Bertrand Iooss
Engineers and computational scientists often study the behavior of their simulations by repeated solutions with variations in their parameters, which can be for instance boundary v…