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gsaot is an R package for Optimal Transport-based global sensitivity analysis. It provides a simple interface for indices estimation using a variety of state-of-the-art Optimal Transport solvers such as the network simplex and…

Computation · Statistics 2025-07-25 Leonardo Chiani , Emanuele Borgonovo , Elmar Plischke , Massimo Tavoni

We investigate an application in the automatic tuning of computer codes, an area of research that has come to prominence alongside the recent rise of distributed scientific processing and heterogeneity in high-performance computing…

Applications · Statistics 2013-04-17 Robert B. Gramacy , Matt Taddy , Stefan M. Wild

Due to their flexibility and superior performance, machine learning models frequently complement and outperform traditional statistical survival models. However, their widespread adoption is hindered by a lack of user-friendly tools to…

Gaussian processes (GPs) are well-known tools for modeling dependent data with applications in spatial statistics, time series analysis, or econometrics. In this article, we present the R package varycoef that implements estimation,…

Computation · Statistics 2021-06-07 Jakob A. Dambon , Fabio Sigrist , Reinhard Furrer

The Trotter-Suzuki decomposition is one of the main approaches for realization of quantum simulations on digital quantum computers. Variance-based global sensitivity analysis (the Sobol method) is a wide used method which allows to…

Quantum Physics · Physics 2021-01-12 Alexey N. Pyrkov , Yurii Zotov , Jiangyu Cui , Manhong Yung

This paper introduces the R package BayesVarSel which implements objective Bayesian methodology for hypothesis testing and variable selection in linear models. The package computes posterior probabilities of the competing hypotheses/models…

Other Statistics · Statistics 2016-11-28 Gonzalo Garcia-Donato , Anabel Forte

Instrumental variables regression is a tool that is commonly used in the analysis of observational data. The instrumental variables are used to make causal inference about the effect of a certain exposure in the presence of unmeasured…

Methodology · Statistics 2023-09-07 Valentin Vancak , Arvid Sjölander

The paper introduces a novel approach to global sensitivity analysis, grounded in the variance-covariance structure of random variables derived from random measures. The proposed methodology facilitates the application of…

Methodology · Statistics 2025-10-20 Caleb Deen Bastian , Herschel Rabitz , Grzegorz A Rempala

Evaluating forecasts is essential to understand and improve forecasting and make forecasts useful to decision makers. A variety of R packages provide a broad variety of scoring rules, visualisations and diagnostic tools. One particular…

Methodology · Statistics 2024-11-04 Nikos I. Bosse , Hugo Gruson , Anne Cori , Edwin van Leeuwen , Sebastian Funk , Sam Abbott

Sensitivity analysis is concerned with understanding how the model output depends on uncertainties (variances) in inputs and then identifies which inputs are important in contributing to the prediction imprecision. Uncertainty determination…

Physics and Society · Physics 2017-01-04 Yueying Zhu , Qiuping Alexandre Wang , Wei Li , Xu Cai

Machine learning decision systems are getting omnipresent in our lives. From dating apps to rating loan seekers, algorithms affect both our well-being and future. Typically, however, these systems are not infallible. Moreover, complex…

Machine Learning · Statistics 2022-02-15 Jakub Wiśniewski , Przemysław Biecek

Complex computer codes are widely used in science to model physical systems. Sensitivity analysis aims to measure the contributions of the inputs on the code output variability. An efficient tool to perform such analysis are the…

Statistics Theory · Mathematics 2013-10-15 Gaëlle Chastaing , Loic Le Gratiet

Global sensitivity analysis is now established as a powerful approach for determining the key random input parameters that drive the uncertainty of model output predictions. Yet the classical computation of the so-called Sobol' indices is…

Computation · Statistics 2016-06-16 L. Le Gratiet , S. Marelli , B. Sudret

Global sensitivity analysis of a numerical code, more specifically estimation of Sobol indices associated with input variables, generally requires a large number of model runs. When those demand too much computation time, it is necessary to…

Analysis of PDEs · Mathematics 2012-01-16 Alexandre Janon , Maëlle Nodet , Clémentine Prieur

We consider the problem of auditing black-box large language models (LLMs) to ensure they behave reliably when deployed in production settings, particularly in high-stakes domains such as legal, medical, and regulatory compliance. Existing…

Computation and Language · Computer Science 2025-12-15 Paulius Rauba , Qiyao Wei , Mihaela van der Schaar

Development of new multiscale mathematical models often entails considerable complexity and multiple undetermined parameters, typically arising from closure relations. To enable reliable simulations, one must quantify how uncertain physical…

Numerical Analysis · Mathematics 2026-02-26 Linheng Ruan , Ilja Kröker , Sergey Oladyshkin , Iryna Rybak

In this paper, we aim to perform sensitivity analysis of set-valued models and, in particular, to quantify the impact of uncertain inputs on feasible sets, which are key elements in solving a robust optimization problem under constraints.…

Differential sensitivity measures provide valuable tools for interpreting complex computational models used in applications ranging from simulation to algorithmic prediction. Taking the derivative of the model output in direction of a model…

Computation · Statistics 2024-10-03 Silvana M. Pesenti , Pietro Millossovich , Andreas Tsanakas

In several applied fields, multimodality assessment is a crucial task as a previous exploratory tool or for determining the suitability of certain distributions. The goal of this paper is to present the utilities of the R package multimode,…

Computation · Statistics 2022-11-21 Jose Ameijeiras-Alonso , Rosa M. Crujeiras , Alberto Rodríguez-Casal

In this paper we apply a methodology introduced in Navarro Jimenez et al (2016) in the framework of chemical reaction networks to perform a global sensitivity analysis on simulations of a continuous-time Markov chain model motivated by…

Methodology · Statistics 2024-07-26 Henri Mermoz Kouye , Gildas Mazo , Clémentine Prieur , Elisabeta Vergu
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