no code implementations • 11 Sep 2023 • Vahidullah Tac, Manuel K Rausch, Ilias Bilionis, Francisco Sahli Costabal, Adrian Buganza Tepole
We extend our approach to spatially correlated diffusion resulting in heterogeneous material properties for arbitrary geometries.
1 code implementation • 3 Jun 2023 • Kairui Hao, Ilias Bilionis
To address these drawbacks, the objective of this paper is to develop a scalable Bayesian approach to state and parameter estimation suitable for continuous-time, deterministic dynamical systems.
no code implementations • 31 May 2023 • Sharmila Karumuri, Ilias Bilionis
We demonstrate our approach by solving a set of benchmark problems from science and engineering.
1 code implementation • 18 Jan 2023 • Alex Alberts, Ilias Bilionis
As an addendum, the method is equipped with a metric which allows the posterior to automatically quantify model-form uncertainty.
no code implementations • 21 Apr 2022 • Shrenik Zinage, Suyash Jadhav, Yifei Zhou, Ilias Bilionis, Peter Meckl
The objective of this paper is to develop a model to predict the transient and steady-state behavior of the turbine using the Koopman operator which can be helpful for control design and analysis.
no code implementations • 8 Feb 2022 • Andrés Beltrán-Pulido, Ilias Bilionis, Dionysios Aliprantis
The objective of this paper is to investigate the ability of physics-informed neural networks to learn the magnetic field response as a function of design parameters in the context of a two-dimensional (2-D) magnetostatic problem.
no code implementations • 12 May 2021 • Marios Papamichalis, Abhishek Ray, Ilias Bilionis, Karthik Kannan, Rajiv Krishnamurthy
Probabilistic machine learning models are often insufficient to help with decisions on interventions because those models find correlations - not causal relationships.
no code implementations • 7 Feb 2021 • Kolawole Ogunsina, Ilias Bilionis, Daniel DeLaurentis
Reliable platforms for data collation during airline schedule operations have significantly increased the quality and quantity of available information for effectively managing airline schedule disruptions.
no code implementations • 5 Oct 2020 • Casey Stowers, Taeksang Lee, Ilias Bilionis, Arun Gosain, Adrian Buganza Tepole
The optimization task relies on the efficiency of the GP surrogates to calculate the expected cost of different strategies when the uncertainty of other material parameters is included.
no code implementations • 16 Dec 2019 • Piyush Pandita, Nimish Awalgaonkar, Ilias Bilionis, Jitesh Panchal
We model the underlying information source as a fully-Bayesian, non-stationary Gaussian process (FBNSGP), and derive an approximation of the information gain of a hypothetical experiment about an arbitrary QoI conditional on the hyper-parameters The EIG about the same QoI is estimated by sample averages to integrate over the posterior of the hyper-parameters and the potential experimental outcomes.
no code implementations • 30 Jun 2019 • Ali Lenjani, Shirley J. Dyke, Ilias Bilionis, Chul Min Yeum, Kenzo Kamiya, Jongseong Choi, Xiaoyu Liu, Arindam G. Chowdhury
A typical post-event reconnaissance mission is conducted by first doing a preliminary survey, followed by a detailed survey.
no code implementations • 4 May 2019 • Ali Lenjani, Chul Min Yeum, Shirley Dyke, Ilias Bilionis
Here, to address this issue, we develop a method to automatically extract pre-event building images from 360o panorama images (panoramas).
no code implementations • 21 Mar 2019 • Nimish Awalgaonkar, Ilias Bilionis, Xiaoqi Liu, Panagiota Karava, Athanasios Tzempelikos
The main objective of this paper is to sequentially pose intelligent queries to occupants in order to optimally learn the indoor air temperature values which maximize their satisfaction.
1 code implementation • 27 Feb 2019 • Rohit Tripathy, Ilias Bilionis
The difficulty of accurate surrogate modeling in such systems, is further compounded by data scarcity brought about by the large cost of forward model evaluations.
1 code implementation • 14 Feb 2019 • Sharmila Karumuri, Rohit Tripathy, Ilias Bilionis, Jitesh Panchal
We propose a novel methodology for high-dimensional uncertainty propagation of elliptic SPDEs which lifts the requirement for a deterministic forward solver.
Data Analysis, Statistics and Probability Computational Physics
no code implementations • 13 Feb 2019 • Chul Min Yeum, Ali Lenjani, Shirley J. Dyke, Ilias Bilionis
Since the panoramas are collected from various locations near the building along the street, the user can identify its pre-disaster conditions from the full set of external views.
1 code implementation • 26 Jul 2018 • Piyush Pandita, Ilias Bilionis, Jitesh Panchal
Our hypothesis is that an optimal BODE should be maximizing the expected information gain in the QoI.
1 code implementation • 2 Feb 2018 • Rohit Tripathy, Ilias Bilionis
One, thus, tries to construct a cheap-to-evaluate surrogate model to replace the forward model solver.
2 code implementations • 21 Oct 2014 • Panagiotis Tsilifis, Ilias Bilionis, Ioannis Katsounaros, Nicholas Zabaras
The classical approach to inverse problems is based on the optimization of a misfit function.