User profiles for Alex A. Gorodetsky
![]() | Alex GorodetskyAssociate 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 …
that accelerates the estimation of statistics of computationally expensive simulation models …
MFNets: Multi-fidelity data-driven networks for Bayesian learning and prediction
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 …
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 …
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
We present an approach for constructing a surrogate from ensembles of information sources
of varying cost and accuracy. The multifidelity surrogate encodes connections between …
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 …
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 …
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 …
uncertainty quantification in the case where weighted estimators are combined to form the …
Functional tensor-train Chebyshev method for multidimensional quantum dynamics simulations
Methods for efficient simulations of multidimensional quantum dynamics are essential for
theoretical studies of chemical systems where quantum effects are important, such as those …
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 …
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.
Stochastic optimal control problems frequently arise as motion control problems in the context
of robotics. Unfortunately, all existing approaches that guarantee arbitrary precision suffer …
of robotics. Unfortunately, all existing approaches that guarantee arbitrary precision suffer …