Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Tsilifis, Panagiotis"'
Solving inverse problems in scientific and engineering fields has long been intriguing and holds great potential for many applications, yet most techniques still struggle to address issues such as high dimensionality, nonlinearity and model uncertain
Externí odkaz:
http://arxiv.org/abs/2405.14008
Autor:
Tsilifis, Panagiotis, Pandita, Piyush, Ghosh, Sayan, Andreoli, Valeria, Vandeputte, Thomas, Wang, Liping
We present a Bayesian approach to identify optimal transformations that map model input points to low dimensional latent variables. The "projection" mapping consists of an orthonormal matrix that is considered a priori unknown and needs to be inferre
Externí odkaz:
http://arxiv.org/abs/2008.02386
In this paper, we present a multilevel Monte Carlo (MLMC) version of the Stochastic Gradient (SG) method for optimization under uncertainty, in order to tackle Optimal Control Problems (OCP) where the constraints are described in the form of PDEs wit
Externí odkaz:
http://arxiv.org/abs/1912.11900
The challenges for non-intrusive methods for Polynomial Chaos modeling lie in the computational efficiency and accuracy under a limited number of model simulations. These challenges can be addressed by enforcing sparsity in the series representation
Externí odkaz:
http://arxiv.org/abs/1912.11029
Autor:
Tsilifis, Panagiotis, Huan, Xun, Safta, Cosmin, Sargsyan, Khachik, Lacaze, Guilhem, Oefelein, Joseph C., Najm, Habib N., Ghanem, Roger G.
Publikováno v:
Journal of Computational Physics 380 (2019) 29-47
Basis adaptation in Homogeneous Chaos spaces rely on a suitable rotation of the underlying Gaussian germ. Several rotations have been proposed in the literature resulting in adaptations with different convergence properties. In this paper we present
Externí odkaz:
http://arxiv.org/abs/1801.01961
Autor:
Tsilifis, Panagiotis, Pandita, Piyush, Ghosh, Sayan, Andreoli, Valeria, Vandeputte, Thomas, Wang, Liping
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 December 2021 386
Autor:
Pandita, Piyush, Tsilifis, Panagiotis, Awalgaonkar, Nimish M., Bilionis, Ilias, Panchal, Jitesh
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 November 2021 385
Autor:
Tsilifis, Panagiotis A.
The recently introduced basis adaptation method for Homogeneous (Wiener) Chaos expansions is explored in a new context where the rotation/projection matrices are computed by discovering the active subspace where the random input exhibits most of its
Externí odkaz:
http://arxiv.org/abs/1611.02754
Autor:
Tsilifis, Panagiotis, Ghanem, Roger
A new characterization of random fields appearing in physical models is presented that is based on their well-known Homogeneous Chaos expansions. We take advantage of the adaptation capabilities of these expansions where the core idea is to rotate th
Externí odkaz:
http://arxiv.org/abs/1603.04803
Experimental design is crucial for inference where limitations in the data collection procedure are present due to cost or other restrictions. Optimal experimental designs determine parameters that in some appropriate sense make the data the most inf
Externí odkaz:
http://arxiv.org/abs/1506.00053