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19952026
most citedInverse Problem for a Curved Quantum Guide

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130 papers · 1 filter

math.ST2025

On-line Pick-Freeze Mirror algorithm for Sensitity Analysis

Manon Costa, Sébastien Gadat, Xavier Gendre +1

The main objective of this paper is to propose a new approach for estimating the entire collection of Sobol' indices simultaneously. Our approach exploits the fact that Sobol' indi…

math.ST2025

Cluster Size Matters: A Comparative Study of Notip and pARI for Post Hoc Inference in fMRI

Nils Peyrouset, Pierre Neuvial, Bertrand Thirion

All Resolutions Inference (ARI) is a post hoc inference method for functional Magnetic Resonance Imaging (fMRI) data analysis that provides valid lower bounds on the proportion of…

math.ST2025

Gradient-enhanced global sensitivity analysis with Poincar{é} chaos expansions

O Roustant, N Lüthen, David Heredia +1

Spectral methods, also known as chaos expansions, are widely used in global sensitivity analysis (GSA), as they leverage orthogonal bases of L2 spaces to efficiently compute Sobol'…

math.ST2025

Inference post region selection

Dominique Bontemps, François Bachoc, Pierre Neuvial

Post-selection inference consists in providing statistical guarantees, based on a data set, that are robust to a prior model selection step on the same data set. In this paper, we…

math.ST2025

On the Private Estimation of Smooth Transport Maps

Clément Lalanne, Franck Iutzeler, Jean-Michel Loubes +1

Estimating optimal transport maps between two distributions from respective samples is an important element for many machine learning methods. To do so, rather than extending discr…

math.ST2024

Fast pick-freeze estimation of Sobol' sensitivity maps using basis expansions

Yuri Sao, Olivier Roustant, Geraldo de Freitas Maciel

Global sensitivity analysis (GSA) aims at quantifying the contribution of input variables over the variability of model outputs. In the frame of functional outputs, a common goal i…