Sparse polynomial chaos expansions: Literature survey and benchmark

N Lüthen, S Marelli, B Sudret - SIAM/ASA Journal on Uncertainty …, 2021 - SIAM
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 …

Least squares polynomial chaos expansion: A review of sampling strategies

M Hadigol, A Doostan - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
As non-intrusive polynomial chaos expansion (PCE) techniques have gained growing
popularity among researchers, we here provide a comprehensive review of major sampling …

Data-driven sparse sensor placement for reconstruction: Demonstrating the benefits of exploiting known patterns

K Manohar, BW Brunton, JN Kutz… - IEEE Control Systems …, 2018 - ieeexplore.ieee.org
Optimal sensor and actuator placement is an important unsolved problem in control theory.
Nearly every downstream control decision is affected by these sensor and actuator …

Randomized numerical linear algebra: A perspective on the field with an eye to software

R Murray, J Demmel, MW Mahoney… - arXiv preprint arXiv …, 2023 - arxiv.org
Randomized numerical linear algebra-RandNLA, for short-concerns the use of
randomization as a resource to develop improved algorithms for large-scale linear algebra …

Polynomial chaos expansions for dependent random variables

JD Jakeman, F Franzelin, A Narayan, M Eldred… - Computer Methods in …, 2019 - Elsevier
Polynomial chaos expansions (PCE) are well-suited to quantifying uncertainty in models
parameterized by independent random variables. The assumption of independence leads to …

Sparse polynomial chaos expansions via compressed sensing and D-optimal design

P Diaz, A Doostan, J Hampton - Computer Methods in Applied Mechanics …, 2018 - Elsevier
In the field of uncertainty quantification, sparse polynomial chaos (PC) expansions are
commonly used by researchers for a variety of purposes, such as surrogate modeling. Ideas …

[HTML][HTML] Predicting shim gaps in aircraft assembly with machine learning and sparse sensing

K Manohar, T Hogan, J Buttrick, AG Banerjee… - Journal of manufacturing …, 2018 - Elsevier
A modern aircraft may require on the order of thousands of custom shims to fill gaps
between structural components in the airframe that arise due to manufacturing tolerances …

Uncertainty quantification study of the aerodynamic performance of high-altitude propellers

N Mourousias, A García-Gutiérrez, A Malim… - Aerospace Science and …, 2023 - Elsevier
Performance evaluations for propellers operating at high altitudes are subject to increased
uncertainty due to scarce experimental or flight data and difficulties in modeling low …

Optimized sampling for multiscale dynamics

K Manohar, E Kaiser, SL Brunton, JN Kutz - Multiscale Modeling & Simulation, 2019 - SIAM
The characterization of intermittent, multiscale, and transient dynamics using data-driven
analysis remains an open challenge. We demonstrate an application of the dynamic mode …

Robust optimization of the NASA C3X gas turbine vane under uncertain operational conditions

MS Karimi, M Raisee, S Salehi, P Hendrick… - International Journal of …, 2021 - Elsevier
The aim of the current paper is the robust optimization of an internally cooled gas turbine
vane by increasing the cooling performance and decreasing the sensitivity of the …