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This paper proposes tackling safety-critical stochastic Reinforcement Learning (RL) tasks with a sample-based, model-based approach. At the core of the method lies a Model Predictive Control (MPC) scheme that acts as function approximation,…

系统与控制 · 电气工程与系统科学 2025-07-30 Filippo Airaldi , Bart De Schutter , Azita Dabiri

It is known that reinforcement learning (RL) is data-hungry. To improve sample-efficiency of RL, it has been proposed that the learning algorithm utilize data from 'approximately similar' processes. However, since the process models are…

机器学习 · 计算机科学 2025-11-24 Vinay Kanakeri , Shivam Bajaj , Ashwin Verma , Vijay Gupta , Aritra Mitra

Many reinforcement learning methods achieve great success in practice but lack theoretical foundation. In this paper, we study the convergence analysis on the problem of the Linear Quadratic Regulator (LQR). The global linear convergence…

最优化与控制 · 数学 2020-07-09 Zeyu Jin , Johann Michael Schmitt , Zaiwen Wen

We consider model-free reinforcement learning (RL) in non-stationary Markov decision processes. Both the reward functions and the state transition functions are allowed to vary arbitrarily over time as long as their cumulative variations do…

机器学习 · 计算机科学 2022-08-23 Weichao Mao , Kaiqing Zhang , Ruihao Zhu , David Simchi-Levi , Tamer Başar

We develop a continuous-time reinforcement learning framework for a class of singular stochastic control problems without entropy regularization. The optimal singular control is characterized as the optimal singular control law, which is a…

最优化与控制 · 数学 2026-05-14 Zongxia Liang , Xiaodong Luo , Xiang Yu

We propose a new reinforcement learning based approach to designing hierarchical linear quadratic regulator (LQR) controllers for heterogeneous linear multi-agent systems with unknown state-space models and separated control objectives. The…

系统与控制 · 电气工程与系统科学 2020-07-29 He Bai , Jemin George , Aranya Chakrabortty

Robust reinforcement learning (RRL) aims at seeking a robust policy to optimize the worst case performance over an uncertainty set of Markov decision processes (MDPs). This set contains some perturbed MDPs from a nominal MDP (N-MDP) that…

机器学习 · 计算机科学 2023-11-21 Ukjo Hwang , Songnam Hong

The standard linear quadratic Gaussian (LQG) framework assumes a Brownian noise process and relies on classical stochastic calculus tools, such as those based on It\^o calculus. In this paper, we solve a generalized linear quadratic optimal…

系统与控制 · 电气工程与系统科学 2026-02-11 Mostafa M. Shibl , Sharan Srinivasan , Harsha Honnappa , Vijay Gupta

We study reinforcement learning (RL) for a class of continuous-time linear-quadratic (LQ) control problems for diffusions, where states are scalar-valued and running control rewards are absent but volatilities of the state processes depend…

机器学习 · 计算机科学 2025-07-25 Yilie Huang , Yanwei Jia , Xun Yu Zhou

We introduce $\mathcal{L}_1$-MBRL, a control-theoretic augmentation scheme for Model-Based Reinforcement Learning (MBRL) algorithms. Unlike model-free approaches, MBRL algorithms learn a model of the transition function using data and use…

系统与控制 · 电气工程与系统科学 2024-03-25 Minjun Sung , Sambhu H. Karumanchi , Aditya Gahlawat , Naira Hovakimyan

We study the convergence of model-based policy gradient for the deterministic, scalar, discounted linear-quadratic regulator when the controller is an overparameterized one-hidden-layer ReLU network without biases. Although the optimal LQR…

最优化与控制 · 数学 2026-04-27 Jhojan A. Rodriguez-Gil , César A. Uribe

Model-based reinforcement learning approaches carry the promise of being data efficient. However, due to challenges in learning dynamics models that sufficiently match the real-world dynamics, they struggle to achieve the same asymptotic…

机器学习 · 计算机科学 2018-09-17 Ignasi Clavera , Jonas Rothfuss , John Schulman , Yasuhiro Fujita , Tamim Asfour , Pieter Abbeel

We present Residual Policy Learning (RPL): a simple method for improving nondifferentiable policies using model-free deep reinforcement learning. RPL thrives in complex robotic manipulation tasks where good but imperfect controllers are…

机器人学 · 计算机科学 2019-01-04 Tom Silver , Kelsey Allen , Josh Tenenbaum , Leslie Kaelbling

Reinforcement learning is a model-free optimal control method that optimizes a control policy through direct interaction with the environment. For reaching tasks that end in regulation, popular discrete-action methods are not well suited…

机器人学 · 计算机科学 2021-06-23 Wouter Caarls

We consider a generic empirical composition optimization problem, where there are empirical averages present both outside and inside nonlinear loss functions. Such a problem is of interest in various machine learning applications, and…

最优化与控制 · 数学 2019-11-04 Adithya M. Devraj , Jianshu Chen

A common pipeline in learning-based control is to iteratively estimate a model of system dynamics, and apply a trajectory optimization algorithm - e.g.~$\mathtt{iLQR}$ - on the learned model to minimize a target cost. This paper conducts a…

机器学习 · 计算机科学 2023-05-17 Daniel Pfrommer , Max Simchowitz , Tyler Westenbroek , Nikolai Matni , Stephen Tu

We present the first model-free Reinforcement Learning (RL) algorithm to synthesise policies for an unknown Markov Decision Process (MDP), such that a linear time property is satisfied. The given temporal property is converted into a Limit…

机器学习 · 计算机科学 2019-02-19 Mohammadhosein Hasanbeig , Alessandro Abate , Daniel Kroening

End-to-end engineering design pipelines, in which designs are evaluated using concurrently defined optimal controllers, are becoming increasingly common in practice. To discover designs that perform well even under the misspecification of…

系统与控制 · 电气工程与系统科学 2025-10-10 Yash Patel , Sahana Rayan , Ambuj Tewari

Successful robotic operation in stochastic environments relies on accurate characterization of the underlying probability distributions, yet this is often imperfect due to limited knowledge. This work presents a control algorithm that is…

机器人学 · 计算机科学 2021-01-19 Haruki Nishimura , Negar Mehr , Adrien Gaidon , Mac Schwager

We present a novel approach to control design for nonlinear systems which leverages model-free policy optimization techniques to learn a linearizing controller for a physical plant with unknown dynamics. Feedback linearization is a…

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