252 citations · 365 across the 6 of their papers we have counts for
7 papers
Residual-Driven Lifting Identification for Nonlinear-Manifold Reduced-Order Models of Parametrized Linear PDEs
Francesco A. B. Silva, Jean C. Ragusa, Theron Guo +1
We introduce a residual-driven procedure for training nonlinear-manifold reduced-order models for parametrized linear partial differential equations that, given prescribed latent a…
Learning physics-based reduced-order models from data using nonlinear manifolds
Rudy Geelen, Laura Balzano, Stephen Wright +1
We present a novel method for learning reduced-order models of dynamical systems using nonlinear manifolds. First, we learn the manifold by identifying nonlinear structure in the d…
Learning latent representations in high-dimensional state spaces using polynomial manifold constructions
Rudy Geelen, Laura Balzano, Karen Willcox
We present a novel framework for learning cost-efficient latent representations in problems with high-dimensional state spaces through nonlinear dimension reduction. By enriching l…
Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifolds
Harsh Sharma, Hongliang Mu, Patrick Buchfink +3
This work presents two novel approaches for the symplectic model reduction of high-dimensional Hamiltonian systems using data-driven quadratic manifolds. Classical symplectic model…
Operator inference for non-intrusive model reduction with quadratic manifolds
Rudy Geelen, Stephen Wright, Karen Willcox
This paper proposes a novel approach for learning a data-driven quadratic manifold from high-dimensional data, then employing this quadratic manifold to derive efficient physics-ba…
A Data-driven Approach to X-ray Spectral Fitting: Quasi-Deconvolution
Carter Lee Rhea, Julie Hlavacek-Larrondo, Ralph Kraft +2
X-ray spectral fitting of astronomical sources requires convolving the intrinsic spectrum or model with the instrumental response. Standard forward modeling techniques have proven…
A phase-field formulation for dynamic cohesive fracture
Rudy J. M. Geelen, Yingjie Liu, Tianchen Hu +2
We extend a phase-field/gradient damage formulation for cohesive fracture to the dynamic case. The model is characterized by a regularized fracture energy that is linear in the dam…