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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…

统计计算 · 统计学 2016-06-16 L. Le Gratiet , S. Marelli , B. Sudret

Numerical modeling of the intensity and evolution of flood events are affected by multiple sources of uncertainty such as precipitation and land surface conditions. To quantify and curb these uncertainties, an ensemble-based simulation and…

地球物理 · 物理学 2023-02-17 Junyu Wei , Xiangyu Luo , Weihong Liao , Xiaohui Lei , Jianshi Zhao , Haocheng Huang , Hao Wang

High fidelity models used in many science and engineering applications couple multiple physical states and parameters. Inverse problems arise when a model parameter cannot be determined directly, but rather is estimated using (typically…

最优化与控制 · 数学 2020-12-30 Isaac Sunseri , Joseph Hart , Bart van Bloemen Waanders , Alen Alexanderian

Global sensitivity analysis of complex numerical simulators is often limited by the small number of model evaluations that can be afforded. In such settings, surrogate models built from a limited set of simulations can substantially reduce…

机器学习 · 统计学 2026-01-21 Guerlain Lambert , Céline Helbert , Claire Lauvernet

Hydrodynamic models with rain-on-the-grid capabilities are usually computationally expensive. This makes the use of automatic calibration algorithms hard to apply due to the large number of model runs. However, with the recent advances in…

Sensitivity analysis plays an important role in searching for constitutive parameters (e.g. permeability) subsurface flow simulations. The mathematics behind is to solve a dynamic constrained optimization problem. Traditional methods like…

计算物理 · 物理学 2019-06-05 Shu Wang , Satish Karra , Daniel O'Malley

We present a framework for derivative-based global sensitivity analysis (GSA) for models with high-dimensional input parameters and functional outputs. We combine ideas from derivative-based GSA, random field representation via…

统计计算 · 统计学 2019-08-19 Helen L. Cleaves , Alen Alexanderian , Hayley Guy , Ralph C. Smith , Meilin Yu

Numerous codes are being developed to solve Shallow Water equations. Because there are used in hydraulic and environmental studies, their capability to simulate properly flow dynamics is critical to guarantee infrastructure and human…

The study makes use of polynomial chaos expansions to compute Sobol' indices within the frame of a global sensitivity analysis of hydro-dispersive parameters in a simplified vertical cross-section of a segment of the subsurface of the Paris…

统计计算 · 统计学 2015-11-25 G. Deman , K. Konakli , B. Sudret , J. Kerrou , P. Perrochet , H. Benabderrahmane

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…

统计理论 · 数学 2013-10-15 Gaëlle Chastaing , Loic Le Gratiet

The variance-based method of Sobol sensitivity indices is very popular among practitioners due to its efficiency and easiness of interpretation. However, for high-dimensional models the direct application of this method can be very time…

统计理论 · 数学 2016-05-26 S. Kucherenko , S. Song

Classical calibration methods in hydrology typically rely on a single cost function computed on long-term streamflow series. Even when hydrological models achieve acceptable scores in NSE and KGE, imbalances can still arise between overall…

最优化与控制 · 数学 2023-09-15 Ngo Nghi Truyen Huynh , Pierre-André Garambois , François Colleoni , Pierre Javelle

In pharmaceutical research and development decision-making related to drug candidate selection, efficacy and safety is commonly supported through modelling and simulation (M\&S). Among others, physiologically-based pharmacokinetic models…

应用统计 · 统计学 2020-12-07 Nicola Melillo , Adam S. Darwich

We present the results of the first application in the naval architecture field of a methodology based on active subspaces properties for parameters space reduction. The physical problem considered is the one of the simulation of the…

数值分析 · 数学 2018-10-12 Marco Tezzele , Filippo Salmoiraghi , Andrea Mola , Gianluigi Rozza

In the field of computer experiments sensitivity analysis aims at quantifying the relative importance of each input parameter (or combinations thereof) of a computational model with respect to the model output uncertainty. Variance…

统计计算 · 统计学 2014-05-23 Bruno Sudret , Chu Van Mai

Models with high-dimensional parameter spaces are common in many applications. Global sensitivity analyses can provide insights on how uncertain inputs and interactions influence the outputs. Many sensitivity analysis methods face…

应用统计 · 统计学 2023-02-27 Haochen Ye , Robert E. Nicholas , Vivek Srikrishnan , Klaus Keller

Shallow water equations (SWEs) are the backbone of most hydrodynamics models for flood prediction, river engineering, and many other water resources applications. The estimation of flow resistance, i.e., the Manning's roughness coefficient…

流体动力学 · 物理学 2026-05-12 Xiaofeng Liu , Yalan Song

In the context of global sensitivity analysis, the Sobol' indices constitute a powerful tool for assessing the relative significance of the uncertain input parameters of a model. We herein introduce a novel approach for evaluating these…

统计计算 · 统计学 2016-05-31 K. Konakli , B. Sudret

Reliable hydrologic and flood forecasting requires models that remain stable when input data are delayed, missing, or inconsistent. However, most advances in rainfall-runoff prediction have been evaluated under ideal data conditions,…

人工智能 · 计算机科学 2025-10-22 Sarth Dubey , Subimal Ghosh , Udit Bhatia

In this study, we introduce a sensitivity analysis methodology for stochastic systems in chemistry, where dynamics are often governed by random processes. Our approach is based on gradient estimation via finite differences, averaging…

定量方法 · 定量生物学 2026-01-12 Erika M. Herrera Machado , Jakob L. Andersen , Rolf Fagerberg , Daniel Merkle