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In the field of surrogate modeling, polynomial chaos expansion (PCE) allows practitioners to construct inexpensive yet accurate surrogates to be used in place of the expensive forward model simulations. For black-box simulations,…

Engineering and applied science rely on computational experiments to rigorously study physical systems. The mathematical models used to probe these systems are highly complex, and sampling-intensive studies often require prohibitively many…

统计方法学 · 统计学 2024-06-19 Joy N. Mueller , Khachik Sargsyan , Craig J. Daniels , Habib N. Najm

Sparse polynomial chaos expansions (PCE) are a popular surrogate modelling method that takes advantage of the properties of PCE, the sparsity-of-effects principle, and powerful sparse regression solvers to approximate computer models with…

数值分析 · 数学 2021-05-20 Nora Lüthen , Stefano Marelli , Bruno Sudret

In surrogate modeling, polynomial chaos expansion (PCE) is popularly utilized to represent the random model responses, which are computationally expensive and usually obtained by deterministic numerical modeling approaches including finite…

统计计算 · 统计学 2020-06-01 Z. Liu , D. Lesselier , B. Sudret , J. Wiart

Polynomial chaos expansions (PCE) have proven efficiency in a number of fields for propagating parametric uncertainties through computational models of complex systems, namely structural and fluid mechanics, chemical reactions and…

统计计算 · 统计学 2017-04-13 Chu V. Mai , Bruno Sudret

Existing studies analyzing electromagnetic field (EMFE) in wireless networks have primarily considered downlink communications. In the uplink, the EMFE caused by the user's smartphone is usually the only considered source of radiation,…

网络与互联网体系结构 · 计算机科学 2024-10-28 Quentin Gontier , Charles Wiame , Joe Wiart , François Horlin , Christo Tsigros , Claude Oestges , Philippe De Doncker

Diffusion kernels over graphs have been widely utilized as effective tools in various applications due to their ability to accurately model the flow of information through nodes and edges. However, there is a notable gap in the literature…

数值分析 · 数学 2026-04-15 Giuseppe Alessio D'Inverno , Kylian Ajavon , Simone Brugiapaglia

Surrogate models are used to alleviate the computational burden in engineering tasks, which require the repeated evaluation of computationally demanding models of physical systems, such as the efficient propagation of uncertainties. For…

机器学习 · 统计学 2022-09-28 Felix Schneider , Iason Papaioannou , Gerhard Müller

Many datasets describing contacts in a population suffer from incompleteness due to population sampling and underreporting of contacts. Data-driven simulations of spreading processes using such incomplete data lead to an underestimation of…

物理与社会 · 物理学 2017-09-07 Julie Fournet , Alain Barrat

We predict the future course of ongoing susceptible-infected-susceptible (SIS) epidemics on regular, Erd\H{o}s-R\'{e}nyi and Barab\'asi-Albert networks. It is known that the contact network influences the spread of an epidemic within a…

种群与进化 · 定量生物学 2021-11-11 Tanja Zerenner , Francesco Di Lauro , Masoumeh Dashti , Luc Berthouze , Istvan Z. Kiss

Constructing approximations that can accurately mimic the behavior of complex models at reduced computational costs is an important aspect of uncertainty quantification. Despite their flexibility and efficiency, classical surrogate models…

统计计算 · 统计学 2020-06-29 S. Marelli , P. -R. Wagner , C. Lataniotis , B. Sudret

We consider the problem of optimizing the design of a heat sink used for cooling an insulated gate bipolar transistor (IGBT) power module. The thermal behavior of the heat sink is originally estimated using a high-fidelity computational…

计算工程、金融与科学 · 计算机科学 2022-09-15 Dimitrios Loukrezis , Herbert De Gersem

The paper presents a novel methodology to build surrogate models of complicated functions by an active learning-based sequential decomposition of the input random space and construction of localized polynomial chaos expansions, referred to…

机器学习 · 计算机科学 2023-09-19 Lukáš Novák , Michael D. Shields , Václav Sadílek , Miroslav Vořechovský

This paper deals with some of the methodologies used to construct polynomial surrogate models based on generalized polynomial chaos (gPC) expansions for applications to uncertainty quantification (UQ) in aerodynamic computations. A core…

流体动力学 · 物理学 2018-03-14 Eric Savin , Andrea Resmini , Jacques Peter

Mathematical models of the human heart are increasingly playing a vital role in understanding the working mechanisms of the heart, both under healthy functioning and during disease. The aim is to aid medical practitioners diagnose and treat…

数值分析 · 数学 2023-11-13 Sridhar Chellappa , Barış Cansız , Lihong Feng , Peter Benner , Michael Kaliske

Uncertainty quantification (UQ) has received much attention in the literature in the past decade. In this context, Sparse Polynomial chaos expansions (PCE) have been shown to be among the most promising methods because of their ability to…

统计方法学 · 统计学 2017-03-17 N. Fajraoui , S. Marelli , B. Sudret

This work introduces a method to equip data-driven polynomial chaos expansion surrogate models with intervals that quantify the predictive uncertainty of the surrogate. To that end, jackknife-based conformal prediction is integrated into…

统计方法学 · 统计学 2025-12-18 Dimitrios Loukrezis , Dimitris G. Giovanis

Epidemics-inspired techniques have received huge attention in recent years from the distributed systems and networking communities. These algorithms and protocols rely on probabilistic message replication and redundancy to ensure reliable…

网络与互联网体系结构 · 计算机科学 2007-11-20 Salvatore Scellato , Cecilia Mascolo , Mirco Musolesi , Vito Latora

Spreading dynamics and complex contagion processes on networks are important mechanisms underlying the emergence of critical transitions, tipping points and other nonlinear phenomena in complex human and natural systems. Increasing amounts…

Frequency response functions (FRFs) are important for assessing the behavior of stochastic linear dynamic systems. For large systems, their evaluations are time-consuming even for a single simulation. In such cases, uncertainty…

统计计算 · 统计学 2017-03-23 V. Yaghoubi , S. Marelli , B. Sudret , T. Abrahamsson
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