no code implementations • 17 Feb 2024 • Jeremiah Hauth, Cosmin Safta, Xun Huan, Ravi G. Patel, Reese E. Jones
In this work we present comparisons of the parametric uncertainty quantification of neural networks modeling complex spatial-temporal processes with Hamiltonian Monte Carlo and Stein variational gradient descent and its projected variant.
no code implementations • 7 Dec 2023 • Wyatt Bridgman, Uma Balakrishnan, Reese Jones, Jiefu Chen, Xuqing Wu, Cosmin Safta, Yueqin Huang, Mohammad Khalil
For black-box simulations, non-intrusive PCE allows the construction of these surrogates using a set of simulation response evaluations.
no code implementations • 29 Sep 2022 • Reese Jones, Cosmin Safta, Ari Frankel
We develop a means of deep learning of hidden features on the reduced graph given the native discretization and a segmentation of the initial input field.
no code implementations • 4 Jun 2021 • Ari Frankel, Cosmin Safta, Coleman Alleman, Reese Jones
Predicting the evolution of a representative sample of a material with microstructure is a fundamental problem in homogenization.
1 code implementation • 20 Jul 2020 • Yen Ting Lin, Jacob Neumann, Ely Miller, Richard G. Posner, Abhishek Mallela, Cosmin Safta, Jaideep Ray, Gautam Thakur, Supriya Chinthavali, William S. Hlavacek
To increase situational awareness and support evidence-based policy-making, we formulated two types of mathematical models for COVID-19 transmission within a regional population.
no code implementations • 16 Jun 2020 • Laura Swiler, Mamikon Gulian, Ari Frankel, Cosmin Safta, John Jakeman
Gaussian process regression is a popular Bayesian framework for surrogate modeling of expensive data sources.
no code implementations • 6 Jan 2018 • Panagiotis Tsilifis, Xun Huan, Cosmin Safta, Khachik Sargsyan, Guilhem Lacaze, Joseph C. Oefelein, Habib N. Najm, Roger G. Ghanem
Basis adaptation in Homogeneous Chaos spaces rely on a suitable rotation of the underlying Gaussian germ.