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Complex models are often used to understand interactions and drivers of human-induced and/or natural phenomena. It is worth identifying the input variables that drive the model output(s) in a given domain and/or govern specific model…

统计方法学 · 统计学 2023-11-07 Matieyendou Lamboni

We provide a collection of results on covariance expressions between Monte Carlo based multi-output mean, variance, and Sobol main effect variance estimators from an ensemble of models. These covariances can be used within multi-fidelity…

统计计算 · 统计学 2024-07-01 Thomas O. Dixon , James E. Warner , Geoffrey F. Bomarito , Alex A. Gorodetsky

The Shapley effects are global sensitivity indices: they quantify the impact of each input variable on the output variable in a model. In this work, we suggest new estimators of these sensitivity indices. When the input distribution is…

统计理论 · 数学 2020-02-14 Baptiste Broto , François Bachoc , Marine Depecker

This work introduces a novel multilevel Monte Carlo (MLMC) metamodeling approach for variance function estimation. Although devising an efficient experimental design for simulation metamodeling can be elusive, the MLMC-based approach…

统计方法学 · 统计学 2025-04-22 Jingtao Zhang , Xi Chen

Many empirical applications estimate causal effects of a continuous endogenous variable (treatment) using a binary instrument. Estimation is typically done through linear 2SLS. This approach requires a mean treatment change and causal…

计量经济学 · 经济学 2024-02-28 Yingying Dong , Ying-Ying Lee

Variable importance measures are the main tools to analyze the black-box mechanisms of random forests. Although the mean decrease accuracy (MDA) is widely accepted as the most efficient variable importance measure for random forests, little…

机器学习 · 统计学 2022-03-02 Clément Bénard , Sébastien da Veiga , Erwan Scornet

We introduce a new algorithm for multi-objective reinforcement learning (MORL) with linear preferences, with the goal of enabling few-shot adaptation to new tasks. In MORL, the aim is to learn policies over multiple competing objectives…

机器学习 · 计算机科学 2019-11-07 Runzhe Yang , Xingyuan Sun , Karthik Narasimhan

Interference occurs when the treatment (or exposure) of one individual affects the outcomes of others. In some settings it may be reasonable to assume individuals can be partitioned into clusters such that there is no interference between…

统计方法学 · 统计学 2018-06-21 Lan Liu , Michael G. Hudgens , Bradley Saul , John D. Clemens , Mohammad Ali , Michael E. Emch

The Monte Carlo differential operator sampling method is applied to the computation of sensitivity coefficients of unresolved resonance probability table cross sections. Three new analytical benchmarks for verifying unresolved resonance…

计算物理 · 物理学 2024-12-03 Brian C. Kiedrowski

Highly robust and efficient estimators for the generalized linear model with a dispersion parameter are proposed. The estimators are based on three steps. In the first step the maximum rank correlation estimator is used to consistently…

统计方法学 · 统计学 2017-03-29 Michael Amiguet , Alfio Marazzi , Marina Valdora , Victor Yohai

The large double logarithm in loop-induced processes is one kind of logarithm at subleading power, which has a different origin from Sudakov double logarithms. We develop a method with soft-collinear effective theory to resum these large…

高能物理 - 唯象学 · 物理学 2019-12-24 Jian Wang

Factor importance measures the impact of each feature on output prediction accuracy. Many existing works focus on the model-based importance, but an important feature in one learning algorithm may hold little significance in another model.…

统计方法学 · 统计学 2025-06-24 Chaofan Huang , V. Roshan Joseph

Sensitivity indices are commonly used to quantity the relative inuence of any specic group of input variables on the output of a computer code. In this paper, we focus both on computer codes the output of which is a cumulative distribution…

统计理论 · 数学 2020-07-27 Jean-Claude Fort , Thierry Klein , Agnès Lagnoux

The hierarchically orthogonal functional decomposition of any measurable function f of a random vector X=(X_1,...,X_p) consists in decomposing f(X) into a sum of increasing dimension functions depending only on a subvector of X. Even when…

应用统计 · 统计学 2014-05-22 Gaelle Chastaing , Clémentine Prieur , Fabrice Gamboa

In genome-wide epigenetic studies, exposures (e.g., Single Nucleotide Polymorphisms) affect outcomes (e.g., gene expression) through intermediate variables such as DNA methylation. Mediation analysis offers a way to study these intermediate…

统计方法学 · 统计学 2025-12-08 Asmita Roy , Xianyang Zhang

In many financial applications Quasi Monte Carlo (QMC) based on Sobol low-discrepancy sequences (LDS) outperforms Monte Carlo showing faster and more stable convergence. However, unlike MC QMC lacks a practical error estimate. Randomized…

计算金融 · 定量金融 2023-10-17 J. Hok , S. Kucherenko

Precision medicine aims to tailor treatment decisions according to patients' characteristics. G-estimation and dynamic weighted ordinary least squares (dWOLS) are double robust statistical methods that can be used to identify optimal…

统计方法学 · 统计学 2021-11-10 Denis Talbot , Erica EM Moodie , Caroline Diorio

Growing model complexities in load modeling have created high dimensionality in parameter estimations, and thereby substantially increasing associated computational costs. In this paper, a tensor-based method is proposed for identifying…

最优化与控制 · 数学 2020-03-10 You Lin , Yishen Wang , Jianhui Wang , Siqi Wang , Di Shi

A generalization of Passing-Bablok regression is proposed for comparing multiple measurement methods simultaneously. Possible applications include assay migration studies or interlaboratory trials. When comparing only two methods, the…

统计方法学 · 统计学 2024-01-25 Florian Dufey

The Variogram Analysis of Response Surfaces (VARS) has been proposed by Razavi and Gupta as a new comprehensive framework in sensitivity analysis. According to these authors, VARS provides a more intuitive notion of sensitivity and it is…

应用统计 · 统计学 2020-11-24 Arnald Puy , Samuele Lo Piano , Andrea Saltelli