Ilias Bilionis

Deep UQ: Learning deep neural network surrogate models for high dimensional uncertainty quantification

Rohit Tripathy, Ilias Bilionis · Journal of Computational Physics · 2018 · 458 citations · Full text

Engineering, Machine Learning, Data Science +10

Multi-output local Gaussian process regression: Applications to uncertainty quantification

Ilias Bilionis, Nicholas Zabaras · Journal of Computational Physics · 2012 · 180 citations

Uncertainty Modeling, Uncertainty Quantification, Gaussian Process +4

Gaussian processes with built-in dimensionality reduction: Applications to high-dimensional uncertainty propagation

Rohit Tripathy, Ilias Bilionis, Marcial Gonzalez · Journal of Computational Physics · 2016 · 178 citations

Engineering, Built-in Dimensionality Reduction, Data Science +8

Multi-output separable Gaussian process: Towards an efficient, fully Bayesian paradigm for uncertainty quantification

Ilias Bilionis, Nicholas Zabaras, Bledar A. Konomi et al. · Journal of Computational Physics · 2013 · 173 citations

Bayesian Paradigm, Uncertainty Modeling, Uncertainty Quantification +5

Simulator-free solution of high-dimensional stochastic elliptic partial differential equations using deep neural networks

Sharmila Karumuri, Rohit Tripathy, Ilias Bilionis et al. · Journal of Computational Physics · 2019 · 157 citations · Full text

Deep Neural Networks, Engineering, Pde-constrained Optimization +4