Search Results for author: Steven Atkinson

Found 8 papers, 3 papers with code

Discovery of Physics and Characterization of Microstructure from Data with Bayesian Hidden Physics Models

1 code implementation12 Mar 2021 Steven Atkinson, Yiming Zhang, Liping Wang

Remarkably, we find that the physics learned from the first specimen allows us to understand the backscattering observed in the latter sample, a qualitative feature that is wholly absent from the specimen from which the physics were inferred.

Advances in Bayesian Probabilistic Modeling for Industrial Applications

no code implementations26 Mar 2020 Sayan Ghosh, Piyush Pandita, Steven Atkinson, Waad Subber, Yiming Zhang, Natarajan Chennimalai Kumar, Suryarghya Chakrabarti, Liping Wang

The methodology, called GE's Bayesian Hybrid Modeling (GEBHM), is a probabilistic modeling method, based on the Kennedy and O'Hagan framework, that has been continuously scaled-up and industrialized over several years.

Physical Intuition

Bayesian task embedding for few-shot Bayesian optimization

1 code implementation2 Jan 2020 Steven Atkinson, Sayan Ghosh, Natarajan Chennimalai-Kumar, Genghis Khan, Liping Wang

We describe a method for Bayesian optimization by which one may incorporate data from multiple systems whose quantitative interrelationships are unknown a priori.

Bayesian Inference Bayesian Optimization

Data-driven discovery of free-form governing differential equations

no code implementations27 Sep 2019 Steven Atkinson, Waad Subber, Liping Wang, Genghis Khan, Philippe Hawi, Roger Ghanem

We present a method of discovering governing differential equations from data without the need to specify a priori the terms to appear in the equation.

Active Learning

Structured Bayesian Gaussian process latent variable model: applications to data-driven dimensionality reduction and high-dimensional inversion

1 code implementation11 Jul 2018 Steven Atkinson, Nicholas Zabaras

A structured Bayesian Gaussian process latent variable model is used both to construct a low-dimensional generative model of the sample-based stochastic prior as well as a surrogate for the forward evaluation.

Dimensionality Reduction

Structured Bayesian Gaussian process latent variable model

no code implementations22 May 2018 Steven Atkinson, Nicholas Zabaras

We introduce a Bayesian Gaussian process latent variable model that explicitly captures spatial correlations in data using a parameterized spatial kernel and leveraging structure-exploiting algebra on the model covariance matrices for computational tractability.

Imputation Super-Resolution +2

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