Sparse polynomial chaos expansions: Literature survey and benchmark
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 …
takes advantage of the properties of PCE, the sparsity-of-effects principle, and powerful …
A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications
VG Eck, WP Donders, J Sturdy… - … journal for numerical …, 2016 - Wiley Online Library
As we shift from population‐based medicine towards a more precise patient‐specific regime
guided by predictions of verified and well‐established cardiovascular models, an urgent …
guided by predictions of verified and well‐established cardiovascular models, an urgent …
Variance-based adaptive sequential sampling for polynomial chaos expansion
L Novák, M Vořechovský, V Sadílek… - Computer Methods in …, 2021 - Elsevier
This paper presents a novel adaptive sequential sampling method for building Polynomial
Chaos Expansion surrogate models. The technique enables one-by-one extension of an …
Chaos Expansion surrogate models. The technique enables one-by-one extension of an …
Robustness recipes for minimax robust optimization in intensity modulated proton therapy for oropharyngeal cancer patients
S Van Der Voort, S Van De Water, Z Perkó… - International Journal of …, 2016 - Elsevier
Purpose We aimed to derive a “robustness recipe” giving the range robustness (RR) and
setup robustness (SR) settings (ie, the error values) that ensure adequate clinical target …
setup robustness (SR) settings (ie, the error values) that ensure adequate clinical target …
Efficient aerodynamic analysis and optimization under uncertainty using multi-fidelity polynomial chaos-Kriging surrogate model
H Zhao, ZH Gao, L Xia - Computers & Fluids, 2022 - Elsevier
Surrogate model has been extensively employed in uncertainty-based design optimization
(UBDO) for computationally expensive engineering problems. However, it often causes …
(UBDO) for computationally expensive engineering problems. However, it often causes …
Review of robust aerodynamic design optimization for air vehicles
The ever-increasing demands for risk-free, resource-efficient and environment-friendly air
vehicles motivate the development of advanced design methodology. As a particularly …
vehicles motivate the development of advanced design methodology. As a particularly …
Adaptive multi-fidelity sparse polynomial chaos-Kriging metamodeling for global approximation of aerodynamic data
H Zhao, Z Gao, F Xu, L Xia - Structural and Multidisciplinary Optimization, 2021 - Springer
The multi-fidelity metamodeling method can dramatically improve the efficiency of
metamodeling for computationally expensive engineering problems when multiple levels of …
metamodeling for computationally expensive engineering problems when multiple levels of …
Adaptive weighted least-squares polynomial chaos expansion with basis adaptivity and sequential adaptive sampling
An efficient framework to obtain stochastic models of responses with polynomial chaos
expansion (PCE) using an adaptive least-squares approach is presented in this paper. PCE …
expansion (PCE) using an adaptive least-squares approach is presented in this paper. PCE …
Enabling forward uncertainty quantification and sensitivity analysis in cardiac electrophysiology by reduced order modeling and machine learning
We present a new, computationally efficient framework to perform forward uncertainty
quantification (UQ) in cardiac electrophysiology. We consider the monodomain model to …
quantification (UQ) in cardiac electrophysiology. We consider the monodomain model to …
Supervised kernel principal component analysis-polynomial chaos-Kriging for high-dimensional surrogate modelling and optimization
H Zhao, Z Gong, K Gan, Y Gan, H Xing… - Knowledge-Based Systems, 2024 - Elsevier
Surrogate-based optimization (SBO) approach is becoming more and more popular in the
expensive aerodynamic design of aircraft. However, with increasing number of design …
expensive aerodynamic design of aircraft. However, with increasing number of design …