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Variance-based sensitivity indices have established themselves as a reference among practitioners of sensitivity analysis of model output. It is not unusual to consider a variance-based sensitivity analysis as informative if it produces at…

The paper deals with an empirical validation of a building thermal model. We put the emphasis on sensitivity analysis and on research of inputs/residual correlation to improve our model. In this article, we apply a sensitivity analysis…

数据分析、统计与概率 · 物理学 2012-12-24 Thierry Alex Mara , Harry Boyer , François Garde

We examine an analytic variational inference scheme for the Gaussian Process State Space Model (GPSSM) - a probabilistic model for system identification and time-series modelling. Our approach performs variational inference over both the…

机器学习 · 统计学 2018-12-11 Alessandro Davide Ialongo , Mark van der Wilk , Carl Edward Rasmussen

A variety of methods have been proposed for inference about extreme dependence for multivariate or spatially-indexed stochastic processes and time series. Most of these proceed by first transforming data to some specific extreme value…

统计理论 · 数学 2018-05-22 James E. Johndrow , Robert L. Wolpert

Using mathematical models to assist in the interpretation of experiments is becoming increasingly important in research across applied mathematics, and in particular in biology and ecology. In this context, accurate parameter estimation is…

统计理论 · 数学 2025-04-29 Jie Qi , Ruth E. Baker

Reliability sensitivity analysis is concerned with measuring the influence of a system's uncertain input parameters on its probability of failure. Statistically dependent inputs present a challenge in both computing and interpreting these…

应用统计 · 统计学 2023-06-21 Max Ehre , Iason Papaioannou , Daniel Straub

A simplified approach is proposed to investigate the continuous-time and discrete-time complementary sensitivity Bode integrals (CSBIs) in this note. For continuous-time feedback systems with unbounded frequency domain, the CSBI weighted by…

系统与控制 · 计算机科学 2018-11-27 Neng Wan , Dapeng Li , Naira Hovakimyan

We propose a new importance sampling framework for the estimation and analysis of Sobol' indices. We focus on the estimation of the conditional second-moment quantity underlying these indices, which is the most challenging term to estimate.…

统计理论 · 数学 2026-03-03 Haythem Boucharif , Jérôme Morio , Paul Rochet

In this paper, we first study a new sensitivity index that is based on higher moments and generalizes the so-called Sobol one. Further, following an idea of Borgonovo ([3]), we define and study a new sensitivity index based on the…

概率论 · 数学 2017-12-01 Fabrice Gamboa , Thierry Klein , Agnès Lagnoux

Within the framework of building energy assessment, this article proposes to use a derivative based sensitivity analysis of heat transfer models in a building envelope. Two, global and local, estimators are obtained at low computational…

计算工程、金融与科学 · 计算机科学 2021-11-18 Ainagul Jumabekova , Julien Berger , Aurélie Foucquier

We study the dynamics of phase transitions in the one dimensional Bose-Hubbard model. To drive the system from Mott insulator to superfluid phase, we change the tunneling frequency at a finite rate. We investigate the build up of…

其他凝聚态物理 · 物理学 2009-11-11 Fernando M. Cucchietti , Bogdan Damski , Jacek Dziarmaga , Wojciech H. Zurek

We propose a scalable framework for inference in an inhomogeneous Poisson process modeled by a continuous sigmoidal Cox process that assumes the corresponding intensity function is given by a Gaussian process (GP) prior transformed with a…

机器学习 · 统计学 2019-06-10 Virginia Aglietti , Edwin V. Bonilla , Theodoros Damoulas , Sally Cripps

Economic model predictive control and tracking model predictive control are two popular advanced process control strategies used in various of fields. Nevertheless, which one should be chosen to achieve better performance in the presence of…

系统与控制 · 电气工程与系统科学 2022-01-07 Jiangbang Liu , Song Bo , Benjamin Decardi-Nelson , Jinfeng Liu , Jingtao Hu , Tao Zou

Variance-based Sobol' sensitivity is one of the most well-known measures in global sensitivity analysis (GSA). However, uncertainties with certain distributions, such as highly skewed distributions or those with a heavy tail, cannot be…

数值分析 · 数学 2025-02-12 Jiannan Yang

Causal inference with observational studies often suffers from unmeasured confounding, yielding biased estimators based on the unconfoundedness assumption. Sensitivity analysis assesses how the causal conclusions change with respect to…

统计方法学 · 统计学 2024-04-01 Sizhu Lu , Peng Ding

The paper deals with an empirical validation of a building thermal model. We put the emphasis on sensitivity analysis and on research of inputs/residual correlation to improve our model. In this article, we apply a sensitivity analysis…

数据分析、统计与概率 · 物理学 2012-12-26 T. A. Mara , F. Garde , H. Boyer , M. Mamode

Global sensitivity analysis with variance-based measures suffers from several theoretical and practical limitations, since they focus only on the variance of the output and handle multivariate variables in a limited way. In this paper, we…

统计理论 · 数学 2013-11-12 Sébastien Da Veiga

Sensitivity analysis plays an important role in the development of computer models/simulators through identifying the contribution of each (uncertain) input factor to the model output variability. This report investigates different aspects…

统计计算 · 统计学 2022-06-24 Hossein Mohammadi , Peter Challenor , Clémentine Prieur

A new method for estimating Sobol' indices is proposed. The new method makes use of 3 independent input vectors rather than the usual 2. It attains much greater accuracy on problems where the target Sobol' index is small, even outperforming…

统计方法学 · 统计学 2012-04-24 Art B. Owen

We propose and assess a new global (derivative-free) optimization algorithm, inspired by the LIPO algorithm, which uses variance-based sensitivity analysis (Sobol indices) to reduce the number of calls to the objective function. This method…

最优化与控制 · 数学 2019-06-13 Alexandre Janon