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In this paper, we consider the problem of partitioning a polygon into a set of connected disjoint sub-polygons, each of which covers an area of a specific size. The work is motivated by terrain covering applications in robotics, where the…

Computational Geometry · Computer Science 2021-10-11 Mariusz Wzorek , Cyrille Berger , Patrick Doherty

Routing is a widespread approach to transfer information from a source node to a destination node in many deployed wireless ad-hoc networks. Today's implemented routing algorithms seek to efficiently find the path/route with the largest…

Information Theory · Computer Science 2018-10-16 Yahya H. Ezzeldin , Martina Cardone , Christina Fragouli , Daniela Tuninetti

This paper proposes distributed algorithms to solve robust convex optimization (RCO) when the constraints are affected by nonlinear uncertainty. We adopt a scenario approach by randomly sampling the uncertainty set. To facilitate the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Keyou You , Roberto Tempo , Pei Xie

The railway timetables are designed in an optimal manner to maximize the capacity usage of the infrastructure concerning different objectives besides avoiding conflicts. The real-time railway traffic management problem occurs when the…

Optimization and Control · Mathematics 2024-10-28 László Lindenmaier , István Ferenc Lövétei , Szilárd Aradi

The field of Distributed Constraint Optimization Problems (DCOPs) has gained momentum, thanks to its suitability in capturing complex problems (e.g., multi-agent coordination and resource allocation problems) that are naturally distributed…

Multiagent Systems · Computer Science 2014-05-16 Tiep Le , Enrico Pontelli , Tran Cao Son , William Yeoh

This paper presents an algorithm to solve the infinite horizon constrained linear quadratic regulator (CLQR) problem using operator splitting methods. First, the CLQR problem is reformulated as a (finite-time) model predictive control (MPC)…

Optimization and Control · Mathematics 2016-09-20 L. Ferranti , G. Stathopoulos , C. N. Jones , T. Keviczky

Deep unfolding networks (DUN) have emerged as a popular iterative framework for accelerated magnetic resonance imaging (MRI) reconstruction. However, conventional DUN aims to reconstruct all the missing information within the entire null…

Image and Video Processing · Electrical Eng. & Systems 2024-03-18 Chong Wang , Lanqing Guo , Yufei Wang , Hao Cheng , Yi Yu , Bihan Wen

We reduce a broad class of machine learning problems, usually addressed by EM or sampling, to the problem of finding the $k$ extremal rays spanning the conical hull of a data point set. These $k$ "anchors" lead to a global solution and a…

Machine Learning · Statistics 2014-06-24 Tianyi Zhou , Jeff Bilmes , Carlos Guestrin

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

Multi-agent Deep Reinforcement Learning (MADRL) based traffic signal control becomes a popular research topic in recent years. To alleviate the scalability issue of completely centralized RL techniques and the non-stationarity issue of…

Artificial Intelligence · Computer Science 2023-09-08 Hankang Gu , Shangbo Wang , Xiaoguang Ma , Dongyao Jia , Guoqiang Mao , Eng Gee Lim , Cheuk Pong Ryan Wong

The min-max vehicle routing problem (min-max VRP) traverses all given customers by assigning several routes and aims to minimize the length of the longest route. Recently, reinforcement learning (RL)-based sequential planning methods have…

Machine Learning · Computer Science 2024-06-07 Zhi Zheng , Shunyu Yao , Zhenkun Wang , Xialiang Tong , Mingxuan Yuan , Ke Tang

While many time-dependent network design problems can be formulated as time-indexed formulations with strong relaxations, the size of these formulations depends on the discretization of the time horizon and can become prohibitively large.…

Discrete Mathematics · Computer Science 2023-05-31 Madison Van Dyk , Jochen Koenemann

We study graph ordering problems with a min-max objective. A classical problem of this type is cutwidth, where given a graph we want to order its vertices such that the number of edges crossing any point is minimized. We give a $…

Data Structures and Algorithms · Computer Science 2024-04-15 Nikhil Bansal , Dor Katzelnick , Roy Schwartz

The recent end-to-end neural solvers have shown promise for small-scale routing problems but suffered from limited real-time scaling-up performance. This paper proposes GLOP (Global and Local Optimization Policies), a unified hierarchical…

Artificial Intelligence · Computer Science 2024-07-23 Haoran Ye , Jiarui Wang , Helan Liang , Zhiguang Cao , Yong Li , Fanzhang Li

This work presents a distributed algorithm for resolving cooperative multi-vehicle conflicts in highly constrained spaces. By formulating the conflict resolution problem as a Multi-Agent Reinforcement Learning (RL) problem, we can train a…

Robotics · Computer Science 2023-02-06 Xu Shen , Francesco Borrelli

In this work we propose a high-quality decomposition approach for qubit routing by swap insertion. This optimization problem arises in the context of compiling quantum algorithms onto specific quantum hardware. Our approach decomposes the…

Quantum Physics · Physics 2023-05-15 Friedrich Wagner , Andreas Bärmann , Frauke Liers , Markus Weissenbäck

Quantum Approximate Optimization Algorithm (QAOA) is a promising hybrid quantum-classical algorithm for solving combinatorial optimization problems. However, it cannot overcome qubit limitation for large-scale problems. Furthermore, the…

Emerging Technologies · Computer Science 2021-03-01 Junde Li , Mahabubul Alam , Swaroop Ghosh

In this paper, the problem of joint radio and computation resource management over multi-channel is investigated for multi-user partial offloading mobile edge computing (MEC) system. The target is to minimize the weighted sum of energy…

Information Theory · Computer Science 2021-05-04 Bizheng Liang , Rongfei Fan , Han Hu

This paper considers deployment problems where a mobile robotic network must optimize its configuration in a distributed way in order to minimize a steady-state cost function that depends on the spatial distribution of certain probabilistic…

Optimization and Control · Mathematics 2012-08-20 Jerome Le Ny , George J. Pappas

Enabling multiple autonomous machines to perform reliably requires the development of efficient cooperative control algorithms. This paper presents a survey of algorithms that have been developed for controlling and coordinating autonomous…

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