A Review of Recent Advances in Surrogate Models for Uncertainty Quantification of High-Dimensional Engineering Applications

Z Azarhoosh, MI Ghazaan - Computer Methods in Applied Mechanics and …, 2025 - Elsevier
In fields where predictions may have vital consequences, uncertainty quantification (UQ)
plays a crucial role, as it enables more accurate forecasts and mitigates the potential risks …

[HTML][HTML] Reduced order modeling of parametrized systems through autoencoders and SINDy approach: continuation of periodic solutions

P Conti, G Gobat, S Fresca, A Manzoni… - Computer Methods in …, 2023 - Elsevier
Highly accurate simulations of complex phenomena governed by partial differential
equations (PDEs) typically require intrusive methods and entail expensive computational …

Scientific machine learning for closure models in multiscale problems: A review

B Sanderse, P Stinis, R Maulik, SE Ahmed - arxiv preprint arxiv …, 2024 - arxiv.org
Closure problems are omnipresent when simulating multiscale systems, where some
quantities and processes cannot be fully prescribed despite their effects on the simulation's …

Explainable causal variational autoencoders based equivariant graph neural networks for analyzing the consumer purchase behavior in E-commerce

M Gandhudi, PJA Alphonse, V Velayudham… - … Applications of Artificial …, 2024 - Elsevier
As the usage of e-commerce is growing rapidly, it is significant to analyze the features or
attributes that influence the consumer purchase behavior in E-commerce. This study …

Active learning inspired multi-fidelity probabilistic modelling of geomaterial property

GF He, P Zhang, ZY Yin - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
The identification of geomaterial properties is costly but pivotal for engineering design. A
wide range of approaches perform well with sufficiently measured data but their …

Operator inference driven data assimilation for high fidelity neutron transport

W **ao, X Liu, J Zu, X Chai, H He, T Zhang - Computer Methods in Applied …, 2024 - Elsevier
This paper presents a novel reduced-order model (ROM) based data assimilation framework
for parametric high-fidelity time-dependent neutron transport equations (TNTE). The ROM is …

Multi-fidelity reduced-order surrogate modelling

P Conti, M Guo, A Manzoni, A Frangi… - … of the Royal …, 2024 - royalsocietypublishing.org
High-fidelity numerical simulations of partial differential equations (PDEs) given a restricted
computational budget can significantly limit the number of parameter configurations …

[HTML][HTML] A multi-fidelity surrogate model for structural health monitoring exploiting model order reduction and artificial neural networks

M Torzoni, A Manzoni, S Mariani - Mechanical Systems and Signal …, 2023 - Elsevier
Stochastic approaches to structural health monitoring (SHM) are often inevitably limited by
computational constraints. For instance, for Markov chain Monte Carlo algorithms relying …

An unsupervised latent/output physics-informed convolutional-LSTM network for solving partial differential equations using peridynamic differential operator

A Mavi, AC Bekar, E Haghighat, E Madenci - Computer Methods in Applied …, 2023 - Elsevier
This study presents a novel unsupervised convolutional Neural Network (NN) architecture
with nonlocal interactions for solving Partial Differential Equations (PDEs). The nonlocal …

[HTML][HTML] Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression

L Cicci, S Fresca, M Guo, A Manzoni… - Computers & Mathematics …, 2023 - Elsevier
Uncertainty quantification (UQ) tasks, such as sensitivity analysis and parameter estimation,
entail a huge computational complexity when dealing with input-output maps involving the …