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19952026
most citedInverse Problem for a Curved Quantum Guide

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5 papers · 2 filters

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…

math.ST2024

Adaptive inference with random ellipsoids through Conformal Conditional Linear Expectation

Iain Henderson, Adrien Mazoyer, Fabrice Gamboa

We propose two new conformity scores for conformal prediction, in a general multivariate regression framework. The underlying score functions are based on a covariance analysis of…

math.ST2024★ 1 cited

Asymptotic efficiency for Sobol' and Cram{é}r-von Mises indices under two designs of experiments

Thierry Klein, Agnès Lagnoux, Paul Rochet +1

A variety of indices aim to quantify the impact of input variables on a response, typically the output from a complex computer code or black-box model. Most commonly used, the Sobo…

math.ST2024

Asymptotic analysis for covariance parameter estimation of Gaussian processes with functional inputs

Lucas Reding, Andrés F. López-Lopera, François Bachoc

We consider covariance parameter estimation for Gaussian processes with functional inputs. From an increasing-domain asymptotics perspective, we prove the asymptotic consistency an…

math.ST2024

Minimax density estimation in the adversarial framework under local differential privacy

Mélisande Albert, Juliette Chevallier, Béatrice Laurent +1

We consider the problem of nonparametric density estimation under privacy constraints in an adversarial framework. To this end, we study minimax rates over Sobolev spaces under loc…