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We address the problem of learning reusable state representations from streaming high-dimensional observations. This is important for areas like Reinforcement Learning (RL), which yields non-stationary data distributions during training. We…

机器学习 · 计算机科学 2020-10-08 Rika Antonova , Maksim Maydanskiy , Danica Kragic , Sam Devlin , Katja Hofmann

We study model-free learning methods for the output-feedback Linear Quadratic (LQ) control problem in finite-horizon subject to subspace constraints on the control policy. Subspace constraints naturally arise in the field of distributed…

系统与控制 · 电气工程与系统科学 2021-07-14 Luca Furieri , Yang Zheng , Maryam Kamgarpour

We consider the task of learning to control a linear dynamical system under fixed quadratic costs, known as the Linear Quadratic Regulator (LQR) problem. While model-free approaches are often favorable in practice, thus far only model-based…

机器学习 · 计算机科学 2021-02-26 Asaf Cassel , Tomer Koren

Efficiently controlling linear Gaussian quantum (LGQ) systems is a significant task in both the study of fundamental quantum theory and the development of modern quantum technology. Here, we propose a general quantum-learning-control method…

量子物理 · 物理学 2024-06-11 Yu-Hong Liu , Yexiong Zeng , Qing-Shou Tan , Daoyi Dong , Franco Nori , Jie-Qiao Liao

We present a novel framework for learning cost-efficient latent representations in problems with high-dimensional state spaces through nonlinear dimension reduction. By enriching linear state approximations with low-order polynomial terms…

数值分析 · 数学 2026-05-27 Rudy Geelen , Laura Balzano , Karen Willcox

Model predictive control (MPC) has played a more crucial role in various robotic control tasks, but its high computational requirements are concerning, especially for nonlinear dynamical models. This paper presents a $\textbf{la}$tent…

机器人学 · 计算机科学 2026-04-22 Yuan Zhang , Shaohui Yang , Toshiyuki Ohtsuka , Colin Jones , Joschka Boedecker

TWe establish regret lower bounds for adaptively controlling an unknown linear Gaussian system with quadratic costs. We combine ideas from experiment design, estimation theory and a perturbation bound of certain information matrices to…

机器学习 · 计算机科学 2024-06-13 Ingvar Ziemann , Henrik Sandberg

This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

机器人学 · 计算机科学 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty

Many applications -- including power systems, robotics, and economics -- involve a dynamical system interacting with a stochastic and hard-to-model environment. We adopt a reinforcement learning approach to control such systems.…

最优化与控制 · 数学 2025-08-26 Abed AlRahman Al Makdah , Oliver Kosut , Lalitha Sankar , Shaofeng Zou

The Linear Quadratic Gaussian (LQG) problem is a classic and widely studied model in optimal control, providing a fundamental framework for designing controllers for linear systems subject to process and observation noises. In recent years,…

最优化与控制 · 数学 2026-03-17 Haoran Li , Xun Li , Yuan-Hua Ni , Xuebo Zhang

This paper tackles the problem of learning value functions from undirected state-only experience (state transitions without action labels i.e. (s,s',r) tuples). We first theoretically characterize the applicability of Q-learning in this…

机器学习 · 计算机科学 2022-04-27 Matthew Chang , Arjun Gupta , Saurabh Gupta

This paper studies the stochastic optimal control problem for systems with unknown dynamics. First, an open-loop deterministic trajectory optimization problem is solved without knowing the explicit form of the dynamical system. Next, a…

系统与控制 · 计算机科学 2017-05-30 Dan Yu , Mohammadhussein Rafieisakhaei , Suman Chakravorty

In modern machine learning, models can often fit training data in numerous ways, some of which perform well on unseen (test) data, while others do not. Remarkably, in such cases gradient descent frequently exhibits an implicit bias that…

机器学习 · 计算机科学 2024-06-04 Noam Razin , Yotam Alexander , Edo Cohen-Karlik , Raja Giryes , Amir Globerson , Nadav Cohen

Understanding the optimization landscape of linear quadratic regulation (LQR) problems is fundamental to the design of efficient reinforcement learning solutions. Recent work has made significant progress in characterizing the landscape of…

系统与控制 · 电气工程与系统科学 2026-04-14 Jingliang Duan , Jie Li , Yinsong Ma , Liye Tang , Guofa Li , Liping Zhang , Shengbo Eben Li , Lin Zhao

We consider a variant of the classical linear quadratic Gaussian regulator (LQG) in which penalties on the endpoint state are replaced by the specification of the terminal state distribution. The resulting theory considerably differs from…

最优化与控制 · 数学 2015-03-18 Yongxin Chen , Tryphon Georgiou , Michele Pavon

Model-based reinforcement learning (RL) has proven to be a data efficient approach for learning control tasks but is difficult to utilize in domains with complex observations such as images. In this paper, we present a method for learning…

机器学习 · 计算机科学 2019-06-25 Marvin Zhang , Sharad Vikram , Laura Smith , Pieter Abbeel , Matthew J. Johnson , Sergey Levine

This paper addresses the joint state estimation and control problems for unknown linear time-invariant systems subject to both process and measurement noise. The aim is to redesign the linear quadratic Gaussian (LQG) controller based solely…

系统与控制 · 电气工程与系统科学 2023-05-03 Wenjie Liu , Jian Sun , Gang Wang , Francesco Bullo , Jie Chen

Autonomous learning has been a promising direction in control and robotics for more than a decade since data-driven learning allows to reduce the amount of engineering knowledge, which is otherwise required. However, autonomous…

机器学习 · 统计学 2017-10-12 Marc Peter Deisenroth , Dieter Fox , Carl Edward Rasmussen

Goal-conditioned planning benefits from learned low-dimensional representations of rich observations. While compact latent representations typically learned from variational autoencoders or inverse dynamics enable goal-conditioned decision…

This paper is concerned with risk-sensitive performance analysis for linear quantum stochastic systems interacting with external bosonic fields. We consider a cost functional in the form of the exponential moment of the integral of a…

最优化与控制 · 数学 2017-07-31 Igor G. Vladimirov , Ian R. Petersen , Matthew R. James