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The exploration-exploitation dilemma in reinforcement learning (RL) is a fundamental challenge to efficient RL algorithms. Existing algorithms for finite state and action discounted RL problems address this by assuming sufficient…

Machine Learning · Computer Science 2025-12-09 Caleb Ju , Guanghui Lan

In this paper, we present an autonomous navigation system for goal-driven exploration of unknown environments through deep reinforcement learning (DRL). Points of interest (POI) for possible navigation directions are obtained from the…

Robotics · Computer Science 2021-09-10 Reinis Cimurs , Il Hong Suh , Jin Han Lee

Many computer vision and image processing problems can be posed as solving partial differential equations (PDEs). However, designing PDE system usually requires high mathematical skills and good insight into the problems. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2011-09-07 Risheng Liu , Zhouchen Lin , Wei Zhang , Kewei Tang , Zhixun Su

Autonomous experiments (AEs) are transforming how scientific research is conducted by integrating artificial intelligence with automated experimental platforms. Current AEs primarily focus on the optimization of a predefined target; while…

Machine Learning · Computer Science 2025-08-29 Ralph Bulanadi , Jawad Chowdhury , Funakubo Hiroshi , Maxim Ziatdinov , Rama Vasudevan , Arpan Biswas , Yongtao Liu

We present a new algorithm for model predictive control of non-linear systems with respect to multiple, conflicting objectives. The idea is to provide a possibility to change the objective in real-time, e.g.~as a reaction to changes in the…

Optimization and Control · Mathematics 2018-08-02 Sebastian Peitz , Kai Schäfer , Sina Ober-Blöbaum , Julian Eckstein , Ulrich Köhler , Michael Dellnitz

We consider trajectory optimal control problems in which parameter uncertainty limits the applicability of control trajectories computed prior to travel. Hence, efficient trajectory adjustment is needed to ensure successful travel. However,…

Optimization and Control · Mathematics 2025-04-01 Riley Link , Ethan Ebbighausen

In this paper we derive necessary optimality conditions for optimal control problems with nonlinear and nonsmooth implicit control systems. Implicit control systems have wide applications including differential algebraic equations (DAEs).…

Optimization and Control · Mathematics 2017-09-06 An Li , Jane J. Ye

We propose a control-oriented optimal experimental design (cOED) approach for linear PDE-constrained Bayesian inverse problems. In particular, we consider optimal control problems with uncertain parameters that need to be estimated by…

Optimization and Control · Mathematics 2025-09-01 Madhusudan Madhavan , Alen Alexanderian , Arvind K. Saibaba , Bart van Bloemen Waanders , Rebekah D. White

We consider the problem of distributed optimal power flow (OPF) for multi-area electric power systems. A novel distributed algorithm is proposed, referred to as the rotated coordinate descent critical region exploration (RCDCRE). It allows…

Optimization and Control · Mathematics 2022-06-20 Haitian Liu , Ye Guo , Hongbin Sun , Weisi Deng

Data-enabled predictive control (DeePC) is a data-driven control algorithm that utilizes data matrices to form a non-parametric representation of the underlying system, predicting future behaviors and generating optimal control actions.…

Systems and Control · Electrical Eng. & Systems 2024-10-18 Xuewen Zhang , Kaixiang Zhang , Zhaojian Li , Xunyuan Yin

An inherent problem of reinforcement learning is performing exploration of an environment through random actions, of which a large portion can be unproductive. Instead, exploration can be improved by initializing the learning policy with an…

Machine Learning · Computer Science 2023-08-22 Jun Jet Tai , Jordan K. Terry , Mauro S. Innocente , James Brusey , Nadjim Horri

A number of important modern applications in optimal control can be formulated as open loop control problems in which the underlying dynamical systems are subject to random inputs. These so-called ensemble control problems require the…

Optimization and Control · Mathematics 2026-05-05 Alessandro Scagliotti , Thomas M. Surowiec

Controllable Markov chains describe the dynamics of sequential decision making tasks and are the central component in optimal control and reinforcement learning. In this work, we give the general form of an optimal policy for learning…

Machine Learning · Computer Science 2025-12-24 Peter N. Loxley

In this paper we treat optimal trajectory planning for an autonomous vehicle (AV) operating in dense traffic, where vehicles closely interact with each other. To tackle this problem, we present a novel framework that couples trajectory…

Systems and Control · Electrical Eng. & Systems 2023-08-28 Erik Börve , Nikolce Murgovski , Leo Laine

Resource-constrained robots often suffer from energy inefficiencies, underutilized computational abilities due to inadequate task allocation, and a lack of robustness in dynamic environments, all of which strongly affect their performance.…

Robotics · Computer Science 2023-10-02 Dipam Patel , Phu Pham , Kshitij Tiwari , Aniket Bera

In this paper, we propose a novel model predictive control (MPC) framework for output tracking that deals with partially unknown constraints. The MPC scheme optimizes over a learning and a backup trajectory. The learning trajectory aims to…

Optimization and Control · Mathematics 2022-05-10 Raffaele Soloperto , Ali Mesbah , Frank Allgöwer

This paper addresses continuous-time reinforcement learning (CTRL) where the system dynamics are governed by an unknown stochastic differential equation, and only discrete-time observations are available. Existing approaches face…

Optimization and Control · Mathematics 2025-10-14 Yuhua Zhu , Yuming Zhang , Haoyu Zhang

In real-world problems, uncertainties (e.g., errors in the measurement, precision errors) often lead to poor performance of numerical algorithms when not explicitly taken into account. This is also the case for control problems, where…

Optimization and Control · Mathematics 2020-12-18 Carlos Ignacio Hernández Castellanos , Sina Ober-Blöbaum , Sebastian Peitz

In online reinforcement learning (RL), efficient exploration remains particularly challenging in high-dimensional environments with sparse rewards. In low-dimensional environments, where tabular parameterization is possible, count-based…

Machine Learning · Computer Science 2021-06-21 Tianjun Zhang , Paria Rashidinejad , Jiantao Jiao , Yuandong Tian , Joseph Gonzalez , Stuart Russell

An unbounded external archive (UEA), which stores all nondominated solutions found during the search process, is frequently used to evaluate the performance of multi-objective evolutionary algorithms (MOEAs) in recent studies. A recent…

Neural and Evolutionary Computing · Computer Science 2020-10-05 Ryoji Tanabe , Hisao Ishibuchi
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