Recent Advances in Polynomial Chaos Expansion: Theory, Applications and Software

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F23%3APU150154" target="_blank" >RIV/00216305:26110/23:PU150154 - isvavai.cz</a>

Result on the web

<a href="http://tces.vsb.cz/Home/" target="_blank" >http://tces.vsb.cz/Home/</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.35181/tces-2023-0015" target="_blank" >10.35181/tces-2023-0015</a>

Result language

angličtina

Original language name

Recent Advances in Polynomial Chaos Expansion: Theory, Applications and Software

Original language description

The paper is focused on recent advances in uncertainty quantification using polynomial chaos expansion (PCE). PCE is a well-known technique for approximation of costly mathematical models with random inputs – surrogate model. Although PCE is a widely used technique and it has several advantages over various surrogate models, it has still several limitations and research gaps. This paper reviews some of the recent theoretical developments in PCE. Specifically a new active learning method optimizing the experimental design and an extension of analytical statistical analysis using PCE will be reviewed. These two topics represent crucial tools for efficient applications: active learning leads generally to a significantly more efficient construction of PCE and improved statistical analysis allows for analytical estimation of higher statistical moments directly from PCE coefficients. Higher statistical moments can be further used for the identification of probability distribution and estimation of design quantiles, which is a crucial task for the probabilistic analysis of structures. Selected applications of the theoretical methods are briefly presented in a context of civil engineering as well as some preliminary results of further research. A part of the paper also presents UQPy package containing state-of-the-art implementation of the PCE theory

Czech name

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Czech description

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Type

J_ost - Miscellaneous article in a specialist periodical

CEP classification

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OECD FORD branch

20102 - Construction engineering, Municipal and structural engineering

Project

<a href="/en/project/GA22-00774S" target="_blank" >GA22-00774S: Metamodel-assisted probabilistic assessment in bridge structural engineering (MAPAB)</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Transactions of the VŠB – Technical University of Ostrava, Civil Engineering Series

ISSN

1804-4824

e-ISSN

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Volume of the periodical

23

Issue of the periodical within the volume

2

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

7

Pages from-to

47-53

UT code for WoS article

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EID of the result in the Scopus database

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