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Planning safe trajectories under model uncertainty is a fundamental challenge. Robust planning ensures safety by considering worst-case realizations, yet ignores uncertainty reduction and leads to overly conservative behavior. Actively…

Robotics · Computer Science 2026-05-26 Kaleb Ben Naveed , Devansh R. Agrawal , Dimitra Panagou

We consider constrained bilinear optimal control of second-order linear evolution partial differential equations (PDEs) with a reaction term on the half line, where control arises as a time-dependent reaction coefficient and constraints are…

Computational Physics · Physics 2025-11-20 Zhexian Li , Felipe de Barros , Ketan Savla

Bayesian optimization offers the possibility of optimizing black-box operations not accessible through traditional techniques. The success of Bayesian optimization methods such as Expected Improvement (EI) are significantly affected by the…

Machine Learning · Statistics 2018-07-04 Dipti Jasrasaria , Edward O. Pyzer-Knapp

Learning to control unknown nonlinear dynamical systems is a fundamental problem in reinforcement learning and control theory. A commonly applied approach is to first explore the environment (exploration), learn an accurate model of it…

Machine Learning · Computer Science 2023-06-16 Andrew Wagenmaker , Guanya Shi , Kevin Jamieson

Exploration in dynamic and uncertain real-world environments is an open problem in robotics and constitutes a foundational capability of autonomous systems operating in most of the real world. While 3D exploration planning has been…

Robotics · Computer Science 2025-10-30 Emil Wiman , Ludvig Widén , Mattias Tiger , Fredrik Heintz

Ensuring the safety of environmental exploration is a critical problem in reinforcement learning (RL). While limiting exploration to a feasible zone has become widely accepted as a way to ensure safety, key questions remain unresolved: what…

Machine Learning · Computer Science 2026-02-05 Yujie Yang , Zhilong Zheng , Shengbo Eben Li

The modeling and control of complex physical systems are essential in real-world problems. We propose a novel framework that is generally applicable to solving PDE-constrained optimal control problems by introducing surrogate models for PDE…

Optimization and Control · Mathematics 2023-12-27 Rakhoon Hwang , Jae Yong Lee , Jin Young Shin , Hyung Ju Hwang

Heterogeneous multi-robot systems are advantageous for operations in unknown environments because functionally specialised robots can gather environmental information, while others perform tasks. We define this decomposition as the…

Numerous heuristics and advanced approaches have been proposed for exploration in different settings for deep reinforcement learning. Noise-based exploration generally fares well with dense-shaped rewards and bonus-based exploration with…

Machine Learning · Computer Science 2025-10-22 Sebastian Griesbach , Carlo D'Eramo

Exploration in unknown environments is a fundamental problem in reinforcement learning and control. In this work, we study task-guided exploration and determine what precisely an agent must learn about their environment in order to complete…

Machine Learning · Computer Science 2021-07-13 Andrew Wagenmaker , Max Simchowitz , Kevin Jamieson

Controlling continuous-time dynamical systems is generally a two step process: first, identify or model the system dynamics with differential equations, then, minimize the control objectives to achieve optimal control function and optimal…

Artificial Intelligence · Computer Science 2024-04-23 Cheng Chi

A dual adaptive model predictive control (MPC) algorithm is presented for linear, time-invariant systems subject to bounded disturbances and parametric uncertainty in the state-space matrices. Online set-membership identification is…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

Efficient exploration is a long-standing problem in sensorimotor learning. Major advances have been demonstrated in noise-free, non-stochastic domains such as video games and simulation. However, most of these formulations either get stuck…

Machine Learning · Computer Science 2019-06-11 Deepak Pathak , Dhiraj Gandhi , Abhinav Gupta

This paper investigates the automatic exploration problem under the unknown environment, which is the key point of applying the robotic system to some social tasks. The solution to this problem via stacking decision rules is impossible to…

Robotics · Computer Science 2020-07-24 Haoran Li , Qichao Zhang , Dongbin Zhao

Active learning provides a framework to adaptively query the most informative experiments towards learning an unknown black-box function. Various approaches of active learning have been proposed in the literature, however, they either focus…

Machine Learning · Computer Science 2023-10-03 Upala Junaida Islam , Kamran Paynabar , George Runger , Ashif Sikandar Iquebal

In continuous control, exploration is often performed through undirected strategies in which parameters of the networks or selected actions are perturbed by random noise. Although the deep setting of undirected exploration has been shown to…

Machine Learning · Computer Science 2022-10-04 Baturay Saglam , Suleyman S. Kozat

We present a novel dual control strategy for uncertain linear systems based on targeted harmonic exploration and gain-scheduling with performance and excitation guarantees. In the proposed sequential approach, robust control is implemented…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Janani Venkatasubramanian , Johannes Köhler , Julian Berberich , Frank Allgöwer

Model based predictions of future trajectories of a dynamical system often suffer from inaccuracies, forcing model based control algorithms to re-plan often, thus being computationally expensive, suboptimal and not reliable. In this work,…

Machine Learning · Computer Science 2018-12-11 Norman Di Palo , Harri Valpola

Soft robots offer unmatched adaptability and safety in unstructured environments, yet their compliant, high-dimensional, and nonlinear dynamics make modeling for control notoriously difficult. Existing data-driven approaches often fail to…

Robotics · Computer Science 2025-11-03 Hehui Zheng , Bhavya Sukhija , Chenhao Li , Klemens Iten , Andreas Krause , Robert K. Katzschmann

Design and optimal control problems are among the fundamental, ubiquitous tasks we face in science and engineering. In both cases, we aim to represent and optimize an unknown (black-box) function that associates a performance/outcome to a…

Machine Learning · Computer Science 2021-10-27 Sifan Wang , Mohamed Aziz Bhouri , Paris Perdikaris