Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Geelen, Rudy"'
This paper presents a probabilistic approach to represent and quantify model-form uncertainties in the reduced-order modeling of complex systems using operator inference techniques. Such uncertainties can arise in the selection of an appropriate stat
Externí odkaz:
http://arxiv.org/abs/2409.00220
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 data through a general representation learning problem. The proposed ap
Externí odkaz:
http://arxiv.org/abs/2308.02802
We present a novel framework for learning cost-efficient latent representations in problems with high-dimensional state spaces through nonlinear dimension reduction. By enriching linear state approximations with low-order polynomial terms we account
Externí odkaz:
http://arxiv.org/abs/2306.13748
This work presents two novel approaches for the symplectic model reduction of high-dimensional Hamiltonian systems using data-driven quadratic manifolds. Classical symplectic model reduction approaches employ linear symplectic subspaces for represent
Externí odkaz:
http://arxiv.org/abs/2305.15490
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-based reduced-order models. The key ingredient of the approach is a poly
Externí odkaz:
http://arxiv.org/abs/2205.02304
X-ray spectral fitting of astronomical sources requires convolving the intrinsic spectrum or model with the instrumental response. Standard forward modeling techniques have proven success in recovering the underlying physical parameters in moderate t
Externí odkaz:
http://arxiv.org/abs/2105.09470
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 January 2023 403 Part B
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 damage field, as well as non-polynomial degradation functions. Two catego
Externí odkaz:
http://arxiv.org/abs/1809.09691
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Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 May 2019 348:680-711