[HTML][HTML] Nonparametric formulation of polynomial chaos expansion based on least-square support-vector machines

P Manfredi, R Trinchero - Engineering Applications of Artificial Intelligence, 2024 - Elsevier
This paper introduces an innovative data-driven approach to uncertainty quantification (UQ)
in complex engineering designs based on polynomial chaos expansion (PCE) and least …

[HTML][HTML] A hybrid polynomial chaos expansion–Gaussian process regression method for Bayesian uncertainty quantification and sensitivity analysis

P Manfredi - Computer Methods in Applied Mechanics and …, 2025 - Elsevier
This paper introduces a novel hybrid method for uncertainty quantification (UQ) combining
the benefits of polynomial chaos expansion (PCE) and Gaussian process regression (GPR) …

Sobolev neural network with residual weighting as a surrogate in linear and non-linear mechanics

AOM Kilicsoy, J Liedmann, MA Valdebenito… - Ieee …, 2024 - ieeexplore.ieee.org
Areas of computational mechanics such as uncertainty quantification and optimization
usually involve repeated evaluation of numerical models that represent the behavior of …

Uncertainty quantification of time-average quantities of chaotic systems using sensitivity-enhanced polynomial chaos expansion

KD Kantarakias, G Papadakis - Physical Review E, 2024 - APS
We consider the effect of multiple stochastic parameters on the time-average quantities of
chaotic systems. We employ the recently proposed sensitivity-enhanced generalized …

Variational Bayesian surrogate modelling with application to robust design optimisation

TA Archbold, I Kazlauskaite, F Cirak - arXiv preprint arXiv:2404.14857, 2024 - arxiv.org
Surrogate models provide a quick-to-evaluate approximation to complex computational
models and are essential for multi-query problems like design optimisation. The inputs of …

Derivatives-Enhanced Proper Orthogonal Decomposition for PEEC Models With Delays

MA Khattak, D Romano, G Antonini… - IEEE Microwave and …, 2024 - ieeexplore.ieee.org
This letter proposes a novel model order reduction (MOR) approach leveraging frequency-
domain proper orthogonal decomposition (POD) for partial element equivalent circuit …

SeAr PC: Sensitivity Enhanced Arbitrary Polynomial Chaos

N Pepper, F Montomoli, K Kantarakias - arXiv preprint arXiv:2402.05507, 2024 - arxiv.org
This paper presents a method for performing Uncertainty Quantification in high-dimensional
uncertain spaces by combining arbitrary polynomial chaos with a recently proposed scheme …