Cover Image

Data-driven dimensionally decomposed generalized polynomial chaos expansion for forward uncertainty quantification

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Choi, Hojun, Heo, Eunho, Lee, Dongjin
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A conditional normalizing flow for domain decomposed uncertainty quantification
by: Li, Sen, et al.
Published: (2024)

A polynomial chaos approach for uncertainty quantification of Monte Carlo transport codes
by: Geraci, Gianluca, et al.
Published: (2024)

Wiener chaos expansion for stochastic Maxwell equations driven by Wiener process
by: Ji, Lihai, et al.
Published: (2025)

Neural active manifolds: nonlinear dimensionality reduction for uncertainty quantification
by: Zanoni, Andrea, et al.
Published: (2024)

On uncertainty quantification of eigenvalues and eigenspaces with higher multiplicity
by: Dölz, Jürgen, et al.
Published: (2022)

Efficient forward and inverse uncertainty quantification for dynamical systems based on dimension reduction and Kriging surrogate modeling in functional space
by: Song, Zhouzhou, et al.
Published: (2025)

Latent representation learning based model correction and uncertainty quantification for PDEs
by: Zhou, Wenwen, et al.
Published: (2026)

Second order hierarchical partial least squares regression-polynomial chaos expansion for global sensitivity and reliability analyses of high-dimensional models
by: Bu, Ling-Ze, et al.
Published: (2019)

Accelerating seismic inversion and uncertainty quantification with efficient high-rank Hessian approximations
by: Hu, Mathew, et al.
Published: (2025)

Global sensitivity analysis with limited data via sparsity-promoting D-MORPH regression: Application to char combustion
by: Lee, Dongjin, et al.
Published: (2023)

Deep set based operator learning with uncertainty quantification
by: Ma, Lei, et al.
Published: (2025)

A two-step surrogate method for sequential uncertainty quantification in high-dimensional inverse problems
by: Yang, Ningxin, et al.
Published: (2024)

Framework for uncertainty quantification of wave-structure interaction in a flume
by: Luo, Xiaoyuan, et al.
Published: (2024)

LDDMM stochastic interpolants: an application to domain uncertainty quantification in hemodynamics
by: Katz, Sarah, et al.
Published: (2026)

Deep learning enhanced cost-aware multi-fidelity uncertainty quantification of a computational model for radiotherapy
by: Vitullo, Piermario, et al.
Published: (2024)

Physics-constrained polynomial chaos expansion for scientific machine learning and uncertainty quantification
by: Sharma, Himanshu, et al.
Published: (2024)

Improvements on uncertainty quantification with variational autoencoders
by: Tonini, Andrea, et al.
Published: (2025)

Representations of the symmetric group are decomposable in polynomial time
by: Olver, Sheehan
Published: (2022)

Multi-subspace power method for decomposing partially symmetric tensors
by: Wang, Kexin, et al.
Published: (2025)

Structure and asymptotic preserving deep neural surrogates for uncertainty quantification in multiscale kinetic equations
by: Chen, Wei, et al.
Published: (2025)

Probabilistic operator learning: generative modeling and uncertainty quantification for foundation models of differential equations
by: Zhang, Benjamin J., et al.
Published: (2025)

Towards uncertainty quantification of a model for cancer-on-chip experiments
by: Bertoluzza, Silvia, et al.
Published: (2026)

Stochastic bifurcation analysis via polynomial chaos: consistency and convergence of branch-approximating solutions
by: Venier, Giacomo, et al.
Published: (2026)

Shape reconstruction of a conductivity inclusion using the Faber polynomials
by: Choi, Doosung, et al.
Published: (2019)

Solving stochastic partial differential equations using neural networks in the Wiener chaos expansion
by: Neufeld, Ariel, et al.
Published: (2024)

Geometric quantification for nonlinear deformation in knitted fabrics
by: Fang, Jiani, et al.
Published: (2026)

A comparative analysis of metamodels for 0D cardiovascular models, and pipeline for sensitivity analysis, parameter estimation, and uncertainty quantification
by: Hanna, John M., et al.
Published: (2024)

Orthogonal polynomial approximation and Extended Dynamic Mode Decomposition in chaos
by: Wormell, Caroline L.
Published: (2023)

Nonconforming approximation methods for function reconstruction on general polygonal meshes via orthogonal polynomials
by: Dell'Accio, Francesco, et al.
Published: (2025)

Learning latent representations in high-dimensional state spaces using polynomial manifold constructions
by: Geelen, Rudy, et al.
Published: (2023)

The analytical subtraction approach for solving the forward problem in EEG
by: Beltrachini, Leandro
Published: (2019)

Data-driven Methods for Delay Differential Equations
by: Breda, Dimitri, et al.
Published: (2025)

Data-driven discovery of chemical reaction networks
by: Reyes-Velazquez, Abraham, et al.
Published: (2026)

Data-driven Morozov regularization of inverse problems
by: Haltmeier, Markus, et al.
Published: (2023)

Generalised eigenfunction expansion and singularity expansion methods for two-dimensional acoustic time-domain wave scattering problems
by: Wilks, Ben, et al.
Published: (2023)

Efficient evaluation of forward and inverse energy-based magnetic hysteresis operators
by: Egger, Herbert, et al.
Published: (2025)

Data-driven micromorphic mechanics for materials with strain localization
by: Ulloa, Jacinto, et al.
Published: (2024)

Sampling error mitigation through spectrum smoothing: first experiments with ensemble transform Kalman filters and Lorenz models
by: Choi, Bosu, et al.
Published: (2024)

A robust shifted proper orthogonal decomposition: Proximal methods for decomposing flows with multiple transports
by: Krah, Philipp, et al.
Published: (2024)

A new numerical technique based on Chelyshkov polynomials for solving two-dimensional stochastic Itô-Volterra Fredholm integral equation
by: Ray, S. Saha, et al.
Published: (2023)