Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Espath, Luis"'
Finding the optimal design of experiments in the Bayesian setting typically requires estimation and optimization of the expected information gain functional. This functional consists of one outer and one inner integral, separated by the logarithm fun
Externí odkaz:
http://arxiv.org/abs/2310.10783
In this continuum theory, we propose a mathematical framework to study the mechanical interplay of bulk-surfaces materials undergoing deformation and phase segregation. To this end, we devise a principle of virtual powers with a bulk-surface dynamics
Externí odkaz:
http://arxiv.org/abs/2308.01647
We address the computational efficiency in solving the A-optimal Bayesian design of experiments problems for which the observational map is based on partial differential equations and, consequently, is computationally expensive to evaluate. A-optimal
Externí odkaz:
http://arxiv.org/abs/2306.17615
Characterized by an outer integral connected to an inner integral through a nonlinear function, nested integration is a challenging problem in various fields, such as engineering and mathematical finance. The available numerical methods for nested in
Externí odkaz:
http://arxiv.org/abs/2302.14119
In this work, we further develop the Physics-informed Spectral Learning (PiSL) by Espath et al. \cite{Esp21} based on a discrete $L^2$ projection to solve the discrete Hodge--Helmholtz decomposition from sparse data. Within this physics-informed stat
Externí odkaz:
http://arxiv.org/abs/2302.11061
In this study, we propose a new numerical scheme for physics-informed neural networks (PINNs) that enables precise and inexpensive solution for partial differential equations (PDEs) in case of arbitrary geometries while strictly enforcing Dirichlet b
Externí odkaz:
http://arxiv.org/abs/2210.13900
Using quasi-Newton methods in stochastic optimization is not a trivial task given the difficulty of extracting curvature information from the noisy gradients. Moreover, pre-conditioning noisy gradient observations tend to amplify the noise. We propos
Externí odkaz:
http://arxiv.org/abs/2208.00441
Autor:
Espath, Luis
This continuum mechanical theory aims at detailing the underlying rational mechanics of dynamic boundary conditions proposed by Fischer, Maass, & Dieterich [1], Goldstein, Miranville, & Schimperna [2], and Knopf, Lam, Liu & Metzger, [3]. As a byprodu
Externí odkaz:
http://arxiv.org/abs/2205.10693
Publikováno v:
Comput. Methods Appl. Mech. Engrg. 399 (2022) 115320
Calculating the expected information gain in optimal Bayesian experimental design typically relies on nested Monte Carlo sampling. When the model also contains nuisance parameters, which are parameters that contribute to the overall uncertainty of th
Externí odkaz:
http://arxiv.org/abs/2112.06794