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2018

Tal, Ezra; Gorodetsky, Alex; Karaman, Sertac

Continuous Tensor Train-Based Dynamic Programming for High-Dimensional Zero-Sum Differential Games Inproceedings Forthcoming

American Control Conference (ACC), Milwaukee, WI, Forthcoming.

Abstract | Links | BibTeX | Tags: Differential Games, Stochastic Optimal Control, Tensor decompositions

Gorodetsky, Alex; Karaman, Sertac; Marzouk, Youssef

High-Dimensional Stochastic Optimal Control using Continuous Tensor Decompositions Journal Article

International Journal of Robotics Research, 37 (2-3), pp. 340-377, 2018.

Abstract | Links | BibTeX | Tags: Dynamic Programming, Markov Decision Processes, Stochastic Optimal Control, Tensor decompositions

Eldred, Michael S; Geraci, Gianluca; Gorodetsky, Alex; Jakeman, John

Multilevel-Multifidelity Approaches for Forward UQ in the DARPA SEQUOIA project Inproceedings

2018 AIAA Non-Deterministic Approaches Conference, AIAA SciTech Forum, Kissimmee, Florida, 2018.

Abstract | Links | BibTeX | Tags: Multifidelity Methods, Polynomial Approximation, Surrogate models, Tensor decompositions

Gorodetsky, Alex; Jakeman, John

Gradient-based Optimization for Regression in the Functional Tensor-Train Format Journal Article Forthcoming

Arxiv 1801.00885v2 (Accepted Journal of Computational Physics), Forthcoming.

Abstract | Links | BibTeX | Tags: Regression, Surrogate models, Tensor decompositions

2017

Gorodetsky, Alex; Karaman, Sertac; Marzouk, Youssef

Low-rank tensor integration for Gaussian filtering of continuous time nonlinear systems Inproceedings

2017 IEEE 56th Annual Conference on Decision and Control (CDC), pp. 2789-2794, Melbourne, VIC, Australia, 2017, ISBN: 978-1-5090-2873-3.

Abstract | Links | BibTeX | Tags: Dynamical Systems, Kalman Filtering, Tensor decompositions

Gorodetsky, Alex

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

Massachusetts Institute of Technology, 2017.

Abstract | Links | BibTeX | Tags: Dynamic Programming, Kalman Filtering, Stochastic Optimal Control, Surrogate models, Tensor decompositions

2016

Alora, John Irvin; Gorodetsky, Alex; Karaman, Sertac; Marzouk, Youssef; Lowry, Nathan

Automated synthesis of low-rank control systems from sc-LTL specifications using tensor-train decompositions Inproceedings

2016 IEEE 55th Conference on Decision and Control (CDC), pp. 1131-1138, Las Vegas, NV, USA, 2016, ISBN: 978-1-5090-1837-6.

Abstract | Links | BibTeX | Tags: Linear Temporal Logic, Stochastic Optimal Control, Tensor decompositions