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When the underlying conditional density is known, conditional expectations can be computed analytically or numerically. When, however, such knowledge is not available and instead we are given a collection of training data, the goal of this…

机器学习 · 统计学 2024-07-19 George V. Moustakides

This paper proposes an algorithmic technique for a class of optimal control problems where it is easy to compute a pointwise minimizer of the Hamiltonian associated with every applied control. The algorithm operates in the space of relaxed…

最优化与控制 · 数学 2016-03-10 M. T. Hale , Y. Wardi , H. Jaleel , M. Egerstedt

This work presents a sum-of-squares (SOS) based framework to perform data-driven stabilization and robust control tasks on discrete-time linear systems where the full-state observations are corrupted by L-infinity bounded input,…

最优化与控制 · 数学 2023-03-31 Jared Miller , Tianyu Dai , Mario Sznaier

Multi-objective Markov decision processes are a special kind of multi-objective optimization problem that involves sequential decision making while satisfying the Markov property of stochastic processes. Multi-objective reinforcement…

机器学习 · 计算机科学 2023-08-22 Sherif Abdelfattah , Kathryn Kasmarik , Jiankun Hu

We present an online model-based reinforcement learning algorithm suitable for controlling complex robotic systems directly in the real world. Unlike prevailing sim-to-real pipelines that rely on extensive offline simulation and model-free…

机器人学 · 计算机科学 2026-05-07 Fang Nan , Hao Ma , Qinghua Guan , Josie Hughes , Michael Muehlebach , Marco Hutter

Nonlinear optimal control problems are often solved with numerical methods that require knowledge of system's dynamics which may be difficult to infer, and that carry a large computational cost associated with iterative calculations. We…

机器学习 · 计算机科学 2019-03-08 Ekaterina Abramova , Luke Dickens , Daniel Kuhn , Aldo Faisal

In this paper, we consider a formulation of nonlinear constrained optimization problems. We reformulate it as a time-varying optimization using continuous-time parametric functions and derive a dynamical system for tracking the optimal…

最优化与控制 · 数学 2024-06-11 Mohsen Amidzadeh

The intrinsic energy minimization in dynamical systems offers a valuable tool for minimizing the objective functions of computationally challenging problems in combinatorial optimization. However, most prior works have focused on mapping…

应用物理 · 物理学 2022-07-21 Mohammad Khairul Bashar , Antik Mallick , Avik W. Ghosh , Nikhil Shukla

In this paper, a multi-objective model-following control problem is solved using an observer-based adaptive learning scheme. The overall goal is to regulate the model-following error dynamics along with optimizing the dynamic variables of a…

系统与控制 · 电气工程与系统科学 2023-08-22 Mohammed I. Abouheaf , Kyriakos G. Vamvoudakis , Mohammad A. Mayyas , Hashim A. Hashim

We study the problem of reinforcement learning in infinite-horizon discounted linear Markov decision processes (MDPs), and propose the first computationally efficient algorithm achieving rate-optimal regret guarantees in this setting. Our…

机器学习 · 计算机科学 2026-03-16 Antoine Moulin , Gergely Neu , Luca Viano

The performance of deep (reinforcement) learning systems crucially depends on the choice of hyperparameters. Their tuning is notoriously expensive, typically requiring an iterative training process to run for numerous steps to convergence.…

机器学习 · 计算机科学 2021-01-19 Vu Nguyen , Sebastian Schulze , Michael A Osborne

We consider the problem of optimal unsignalized intersection management, wherein we seek to obtain safe and optimal trajectories, for a set of robots that arrive randomly and continually. This problem involves repeatedly solving a mixed…

机器人学 · 计算机科学 2024-08-08 Nishchal Hoysal G. , Pavankumar Tallapragada

A self-learning optimal control algorithm for episodic fixed-horizon manufacturing processes with time-discrete control actions is proposed and evaluated on a simulated deep drawing process. The control model is built during consecutive…

系统与控制 · 计算机科学 2020-01-07 Johannes Dornheim , Norbert Link , Peter Gumbsch

This article develops a methodology that enables learning an objective function of an optimal control system from incomplete trajectory observations. The objective function is assumed to be a weighted sum of features (or basis functions)…

机器人学 · 计算机科学 2021-05-07 Wanxin Jin , Dana Kulić , Shaoshuai Mou , Sandra Hirche

Optimal control of stochastic nonlinear dynamical systems is a major challenge in the domain of robot learning. Given the intractability of the global control problem, state-of-the-art algorithms focus on approximate sequential optimization…

机器学习 · 计算机科学 2020-04-23 Joe Watson , Hany Abdulsamad , Jan Peters

Multi-objective Markov decision processes are sequential decision-making problems that involve multiple conflicting reward functions that cannot be optimized simultaneously without a compromise. This type of problems cannot be solved by a…

机器学习 · 计算机科学 2023-08-22 Sherif Abdelfattah , Kathryn Merrick , Jiankun Hu

The paper introduces an interactive machine learning mechanism to process the measurements of an uncertain, nonlinear dynamic process and hence advise an actuation strategy in real-time. For concept demonstration, a trajectory-following…

系统与控制 · 电气工程与系统科学 2023-03-16 Mohammed Abouheaf , Derek Boase , Wail Gueaieb , Davide Spinello , Salah Al-Sharhan

This work recasts time-dependent optimal control problems governed by partial differential equations in a Dynamic Mode Decomposition with control framework. Indeed, since the numerical solution of such problems requires a lot of…

最优化与控制 · 数学 2022-03-25 Eleonora Donadini , Maria Strazzullo , Marco Tezzele , Gianluigi Rozza

Reinforcement learning algorithms typically consider discrete-time dynamics, even though the underlying systems are often continuous in time. In this paper, we introduce a model-based reinforcement learning algorithm that represents…

机器学习 · 计算机科学 2023-11-01 Lenart Treven , Jonas Hübotter , Bhavya Sukhija , Florian Dörfler , Andreas Krause

Nonlinear optimal control is vital for numerous applications but remains challenging for unknown systems due to the difficulties in accurately modelling dynamics and handling computational demands, particularly in high-dimensional settings.…

系统与控制 · 电气工程与系统科学 2024-12-03 Zhexuan Zeng , Ruikun Zhou , Yiming Meng , Jun Liu