User profiles for Alex A. Gorodetsky

Alex Gorodetsky

Associate Professor of Aerospace Engineering, University of Michigan
Verified email at umich.edu
Cited by 1168

A generalized approximate control variate framework for multifidelity uncertainty quantification

AA Gorodetsky, G Geraci, MS Eldred… - Journal of Computational …, 2020 - Elsevier
We describe and analyze a variance reduction approach for Monte Carlo (MC) sampling
that accelerates the estimation of statistics of computationally expensive simulation models …

MFNets: Multi-fidelity data-driven networks for Bayesian learning and prediction

AA Gorodetsky, JD Jakeman, G Geraci… - International Journal …, 2020 - dl.begellhouse.com
This paper presents a Bayesian multifidelity uncertainty quantification framework, called
MFNets, which can be used to overcome three of the major challenges that arise when data …

Continuous low-rank tensor decompositions, with applications to stochastic optimal control and data assimilation

AA Gorodetsky - 2017 - dspace.mit.edu
Optimal decision making under uncertainty is critical for control and optimization of complex
systems. However, many techniques for solving problems such as stochastic optimal control …

MFNets: data efficient all-at-once learning of multifidelity surrogates as directed networks of information sources

AA Gorodetsky, JD Jakeman, G Geraci - Computational Mechanics, 2021 - Springer
We present an approach for constructing a surrogate from ensembles of information sources
of varying cost and accuracy. The multifidelity surrogate encodes connections between …

A learning method for the approximation of discontinuous functions for stochastic simulations

AA Gorodetsky - 2012 - dspace.mit.edu
Surrogate models for computational simulations are inexpensive input-output approximations
that allow expensive analyses, such as the forward propagation of uncertainty and …

Multifidelity uncertainty quantification with models based on dissimilar parameters

…, MS Eldred, JD Jakeman, AA Gorodetsky… - Computer Methods in …, 2023 - Elsevier
Multifidelity uncertainty quantification (MF UQ) sampling approaches have been shown to
significantly reduce the variance of statistical estimators while preserving the bias of the …

Grouped approximate control variate estimators

AA Gorodetsky, JD Jakeman, MS Eldred - arXiv preprint arXiv:2402.14736, 2024 - arxiv.org
This paper analyzes the approximate control variate (ACV) approach to multifidelity
uncertainty quantification in the case where weighted estimators are combined to form the …

Functional tensor-train Chebyshev method for multidimensional quantum dynamics simulations

MB Soley, P Bergold, AA Gorodetsky… - Journal of chemical …, 2021 - ACS Publications
Methods for efficient simulations of multidimensional quantum dynamics are essential for
theoretical studies of chemical systems where quantum effects are important, such as those …

Gradient-based optimization for regression in the functional tensor-train format

AA Gorodetsky, JD Jakeman - Journal of Computational Physics, 2018 - Elsevier
Predictive analysis of complex computational models, such as uncertainty quantification (UQ),
must often rely on using an existing database of simulation runs. In this paper we consider …

[PDF][PDF] Efficient High-Dimensional Stochastic Optimal Motion Control using Tensor-Train Decomposition.

AA Gorodetsky, S Karaman, YM Marzouk - Robotics: Science and …, 2015 - Citeseer
Stochastic optimal control problems frequently arise as motion control problems in the context
of robotics. Unfortunately, all existing approaches that guarantee arbitrary precision suffer …