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We study the task of learning state representations from potentially high-dimensional observations, with the goal of controlling an unknown partially observable system. We pursue a cost-driven approach, where a dynamic model in some latent…

Machine Learning · Computer Science 2026-03-10 Yi Tian , Kaiqing Zhang , Russ Tedrake , Suvrit Sra

In this paper we study an imitation and transfer learning setting for Linear Quadratic Gaussian (LQG) control, where (i) the system dynamics, noise statistics and cost function are unknown and expert data is provided (that is, sequences of…

Systems and Control · Electrical Eng. & Systems 2023-06-23 Taosha Guo , Abed AlRahman Al Makdah , Vishaal Krishnan , Fabio Pasqualetti

We study the problem of designing a state feedback linear quadratic Gaussian (LQG) controller for a system in which the system matrices as well as the process noise covariance are unknown. We do a rigorous comparison between two approaches.…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Mingxiang Liu , Damián Marelli , Minyue Fu , Qianqian Cai

In this paper, we consider the adaptive linear quadratic Gaussian control problem, where both the linear transformation matrix of the state $A$ and the control gain matrix $B$ are unknown. The proposed adaptive optimal control only assumes…

Optimization and Control · Mathematics 2024-09-17 Nian Liu , Cheng Zhao , Shaolin Tan , Jinhu Lü

The linear-quadratic-Gaussian (LQG) control paradigm is well-known in literature. The strategy of minimizing the cost function is available, both for the case where the state is known and where it is estimated through an observer. The…

Systems and Control · Computer Science 2018-12-10 Hildo Bijl , Thomas B. Schön

We study the linear quadratic Gaussian (LQG) control problem, in which the controller's observation of the system state is such that a desired cost is unattainable. To achieve the desired LQG cost, we introduce a communication link from the…

Optimization and Control · Mathematics 2021-09-28 Oron Sabag , Peida Tian , Victoria Kostina , Babak Hassibi

Many real-world sequential decision-making problems can be formulated as optimal control with high-dimensional observations and unknown dynamics. A promising approach is to embed the high-dimensional observations into a lower-dimensional…

Machine Learning · Computer Science 2020-02-12 Nir Levine , Yinlam Chow , Rui Shu , Ang Li , Mohammad Ghavamzadeh , Hung Bui

Learning representations for reinforcement learning (RL) has shown much promise for continuous control. We propose an efficient representation learning method using only a self-supervised latent-state consistency loss. Our approach employs…

Machine Learning · Computer Science 2024-06-06 Aidan Scannell , Kalle Kujanpää , Yi Zhao , Mohammadreza Nakhaei , Arno Solin , Joni Pajarinen

In this work, we revisit the Linear Quadratic Gaussian (LQG) optimal control problem from a behavioral perspective. Motivated by the suitability of behavioral models for data-driven control, we begin with a reformulation of the LQG problem…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Abed AlRahman Al Makdah , Vishaal Krishnan , Vaibhav Katewa , Fabio Pasqualetti

In this work, we study the deception of a Linear-Quadratic-Gaussian (LQG) agent by manipulating the cost signals. We show that a small falsification of the cost parameters will only lead to a bounded change in the optimal policy. The bound…

Systems and Control · Electrical Eng. & Systems 2022-04-08 Yunhan Huang , Quanyan Zhu

We consider the linear quadratic Gaussian control problem with a discounted cost functional for descriptor systems on the infinite time horizon. Based on recent results from the deterministic framework, we characterize the feasibility of…

Optimization and Control · Mathematics 2020-04-21 Hermann Mena , Lena-Maria Pfurtscheller , Matthias Voigt

Learned representations of dynamical systems reduce dimensionality, potentially supporting downstream reinforcement learning (RL). However, no established methods predict a representation's suitability for control and evaluation is largely…

Machine Learning · Computer Science 2020-11-25 Kevin Haninger , Raul Vicente Garcia , Joerg Krueger

We study the discrete-time linear-quadratic (LQ) control model using reinforcement learning (RL). Using entropy to measure the cost of exploration, we prove that the optimal feedback policy for the problem must be Gaussian type. Then, we…

Machine Learning · Statistics 2025-02-05 Lucky Li

Learning or identifying dynamics from a sequence of high-dimensional observations is a difficult challenge in many domains, including reinforcement learning and control. The problem has recently been studied from a generative perspective…

Robotics · Computer Science 2022-07-12 Oliver Limoyo , Bryan Chan , Filip Marić , Brandon Wagstaff , Rupam Mahmood , Jonathan Kelly

We consider the general class of time-homogeneous stochastic dynamical systems, both discrete and continuous, and study the problem of learning a representation of the state that faithfully captures its dynamics. This is instrumental to…

Machine Learning · Computer Science 2024-03-15 Vladimir R. Kostic , Pietro Novelli , Riccardo Grazzi , Karim Lounici , Massimiliano Pontil

We study the problem of adaptive control in partially observable linear quadratic Gaussian control systems, where the model dynamics are unknown a priori. We propose LqgOpt, a novel reinforcement learning algorithm based on the principle of…

Machine Learning · Computer Science 2020-06-25 Sahin Lale , Kamyar Azizzadenesheli , Babak Hassibi , Anima Anandkumar

Learning methods are increasingly used to synthesize controllers from data, yet existing sample-complexity characterizations for continuous control are sharp only in the fully observed setting. This paper studies the partially observed case…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Bruce D. Lee , Anastasios Tsiamis , Nikolai Matni , Manfred Morari , John Lygeros

We consider a continuous-time linear-quadratic Gaussian control problem with partial observations and costly information acquisition. More precisely, we assume the drift of the state process to be governed by an unobservable…

Optimization and Control · Mathematics 2024-08-20 Christoph Knochenhauer , Alexander Merkel , Yufei Zhang

This paper presents a novel state representation for reward-free Markov decision processes. The idea is to learn, in a self-supervised manner, an embedding space where distances between pairs of embedded states correspond to the minimum…

Machine Learning · Computer Science 2022-05-05 Lorenzo Steccanella , Anders Jonsson

Stochastic control deals with finding an optimal control signal for a dynamical system in a setting with uncertainty, playing a key role in numerous applications. The linear quadratic Gaussian (LQG) is a widely-used setting, where the…

Systems and Control · Electrical Eng. & Systems 2022-10-26 Solomon Goldgraber Casspi , Oliver Husser , Guy Revach , Nir Shlezinger
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