Epistemic uncertainty-based model validation via interval propagation and parameter calibration

DOI10.1016/j.cma.2018.08.001zbMath1440.65056OpenAlexW2887602395WikidataQ129414686 ScholiaQ129414686MaRDI QIDQ1986379

Yunlong Li, Chong Wang, Menghui Xu, Hermann G. Matthies

Publication date: 8 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.08.001

zbMATH Keywords

model validationpolynomial chaos expansionepistemic uncertainty with limited datainterval fitting degreeinterval parameter calibrationinterval theory

Mathematics Subject Classification ID

Nonparametric tolerance and confidence regions (62G15) Interval and finite arithmetic (65G30)

Related Items (4)

Non-probabilistic polygonal convex set model for structural uncertainty quantification ⋮ Evidence-theory-based uncertain parameter identification method for mechanical systems with imprecise information ⋮ A collaborative model calibration framework under uncertainty considering parameter distribution ⋮ Novel Nonprobabilistic Bayesian Uncertainty Quantification Method for Structures with Interval Parameters

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Chebyshev interval method for nonlinear dynamic systems under uncertainty
• Stochastic modeling and identification of an uncertain computational dynamical model with random fields properties and model uncertainties
• Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis
• Validation challenge workshop
• Formulation of the thermal problem
• Thermal problem solution using a surrogate model clustering technique
• Model validation and predictive capability for the thermal challenge problem
• Thermal challenge problem: Summary
• A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria
• A probabilistic construction of model validation
• Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval
• Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis
• Maximum likelihood Bayesian averaging of uncertain model predictions
• Novel reliability-based optimization method for thermal structure with hybrid random, interval and fuzzy parameters
• Sparse grid collocation schemes for stochastic natural convection problems
• A nonlinear interval number programming method for uncertain optimization problems
• Bayesian Calibration of Computer Models
• Model validation in the presence of uncertain experimental data
• Analysis of Uncertain Structural Systems Using Interval Analysis
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• FRAMEWORK FOR CONVERGENCE AND VALIDATION OF STOCHASTIC UNCERTAINTY QUANTIFICATION AND RELATIONSHIP TO DETERMINISTIC VERIFICATION AND VALIDATION
• Probability and Statistical Inference, Second Edition
• Fuzzy sets

This page was built for publication: Epistemic uncertainty-based model validation via interval propagation and parameter calibration