Search Results for author: Ilias Bilionis

Found 19 papers, 7 papers with code

Generative Hyperelasticity with Physics-Informed Probabilistic Diffusion Fields

no code implementations11 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.

An information field theory approach to Bayesian state and parameter estimation in dynamical systems

1 code implementation3 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.

Variational Inference

Physics-informed Information Field Theory for Modeling Physical Systems with Uncertainty Quantification

1 code implementation18 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.

Uncertainty Quantification

Data Driven Modeling of Turbocharger Turbine using Koopman Operator

no code implementations21 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.

Physics-informed neural networks for solving parametric magnetostatic problems

no code implementations8 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.

Bayesian Model Averaging for Data Driven Decision Making when Causality is Partially Known

no code implementations12 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.

Decision Making

Exploratory Data Analysis for Airline Disruption Management

no code implementations7 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.

Management Scheduling

Improving Reconstructive Surgery Design using Gaussian Process Surrogates to Capture Material Behavior Uncertainty

no code implementations5 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.

Learning Arbitrary Quantities of Interest from Expensive Black-Box Functions through Bayesian Sequential Optimal Design

no code implementations16 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.

Automated building image extraction from 360° panoramas for postdisaster evaluation

no code implementations4 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).

Learning Personalized Thermal Preferences via Bayesian Active Learning with Unimodality Constraints

no code implementations21 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.

Active Learning Bayesian Inference

Deep active subspaces - a scalable method for high-dimensional uncertainty propagation

1 code implementation27 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.

Dimensionality Reduction Uncertainty Quantification +1

Simulator-free Solution of High-Dimensional Stochastic Elliptic Partial Differential Equations using Deep Neural Networks

1 code implementation14 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

Automated Detection of Pre-Disaster Building Images from Google Street View

no code implementations13 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.

Bayesian Optimal Design of Experiments For Inferring The Statistical Expectation Of A Black-Box Function

1 code implementation26 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.

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