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Missions for autonomous systems often require agents to visit multiple targets in complex operating conditions. This work considers the problem of visiting a set of targets in minimum time by a team of non-communicating agents in a Markov…

最优化与控制 · 数学 2023-06-21 Farhad Nawaz , Melkior Ornik

The aim of this paper is to design an efficient multigrid method for constrained convex optimization problems arising from discretization of some underlying infinite dimensional problems. Due to problem dependency of this approach, we only…

最优化与控制 · 数学 2016-02-12 Michal Kocvara , Sudaba Mohammed

In this paper we study the task of approach of two mobile agents having the same limited range of vision and moving asynchronously in the plane. This task consists in getting them in finite time within each other's range of vision. The…

数据结构与算法 · 计算机科学 2018-07-10 Sébastien Bouchard , Marjorie Bournat , Yoann Dieudonné , Swan Dubois , Franck Petit

We propose a finite-state, decentralized decision and control framework for multi-agent ground coverage. The approach decomposes the problem into two coupled components: (i) the structural design of a deep neural network (DNN) induced by…

系统与控制 · 电气工程与系统科学 2026-01-06 Hossein Rastgoftar

A two-dimensional grid with dots is called a \emph{configuration with distinct differences} if any two lines which connect two dots are distinct either in their length or in their slope. These configurations are known to have many…

组合数学 · 数学 2009-10-08 Simon R. Blackburn , Tuvi Etzion , Keith M. Martin , Maura B. Paterson

We introduce two novel tree search algorithms that use a policy to guide search. The first algorithm is a best-first enumeration that uses a cost function that allows us to prove an upper bound on the number of nodes to be expanded before…

人工智能 · 计算机科学 2018-11-29 Laurent Orseau , Levi H. S. Lelis , Tor Lattimore , Théophane Weber

We are given an equal number of mobile robotic agents, and distinct target locations. Each agent has simple integrator dynamics, a limited communication range, and knowledge of the position of every target. We address the problem of…

机器人学 · 计算机科学 2007-05-23 Stephen L. Smith , Francesco Bullo

This paper considers a multi-agent Markov Decision Process (MDP), where there are $n$ agents and each agent $i$ is associated with a state $s_i$ and action $a_i$ taking values from a finite set. Though the global state space size and action…

最优化与控制 · 数学 2019-09-17 Guannan Qu , Na Li

We give lower bounds for various natural node- and edge-based local strategies for exploring a graph. We consider this problem both in the setting of an arbitrary graph as well as the abstraction of a geometric exploration of a space by a…

Can Grover's algorithm speed up search of a physical region - for example a 2-D grid of size sqrt(n) by sqrt(n)? The problem is that sqrt(n) time seems to be needed for each query, just to move amplitude across the grid. Here we show that…

量子物理 · 物理学 2007-05-23 Scott Aaronson , Andris Ambainis

Quadratic programs arise in robotics, communications, smart grids, and many other applications. As these problems grow in size, finding solutions becomes much more computationally demanding, and new algorithms are needed to efficiently…

最优化与控制 · 数学 2019-03-21 Matthew Ubl , Matthew Hale

We consider a cooperative multi-agent system consisting of a team of agents with decentralized information. Our focus is on the design of symmetric (i.e. identical) strategies for the agents in order to optimize a finite horizon team…

最优化与控制 · 数学 2023-07-17 Sagar Sudhakara , Ashutosh Nayyar

We consider the problem of controlling the movement of multiple cooperating agents so as to minimize an uncertainty metric associated with a finite number of targets. In a one-dimensional mission space, we adopt an optimal control framework…

最优化与控制 · 数学 2016-03-15 Nan Zhou , Xi Yu , Sean B. Andersson , Christos G. Cassandras

In distributed stochastic optimization, where parallel and asynchronous methods are employed, we establish optimal time complexities under virtually any computation behavior of workers/devices/CPUs/GPUs, capturing potential disconnections…

最优化与控制 · 数学 2025-02-07 Alexander Tyurin

The gathering problem requires a set of mobile agents, arbitrarily positioned at different nodes of a network to group within finite time at the same location, not fixed in advanced. The extensive existing literature on this problem shares…

分布式、并行与集群计算 · 计算机科学 2017-04-12 Giuseppe Antonio Di Luna , Paola Flocchini , Linda Pagli , Giuseppe Prencipe , Nicola Santoro , Giovanni Viglietta

In this paper, we propose a distributed algorithm, called Directed-Distributed Gradient Descent (D-DGD), to solve multi-agent optimization problems over directed graphs. Existing algorithms mostly deal with similar problems under the…

最优化与控制 · 数学 2016-02-02 Chenguang Xi , Qiong Wu , Usman A. Khan

In this paper, we study discrete evacuation in networks, where agents know the network topology and designated exit nodes but do not know the number and initial positions of other agents. Each agent initially occupies a distinct node and…

离散数学 · 计算机科学 2026-04-16 Piotr Borowiecki , Dariusz Dereniowski , Łukasz Kuszner

Network decontamination is a well-known problem, in which the aim of the mobile agents should be to decontaminate the network (i.e., both nodes and edges). This problem comes with an added constraint, i.e., of \emph{monotonicity}, in which…

分布式、并行与集群计算 · 计算机科学 2025-11-25 Rajashree Bar , Daibik Barik , Adri Bhattacharya , Partha Sarathi Mandal

Best arm identification (or, pure exploration) in multi-armed bandits is a fundamental problem in machine learning. In this paper we study the distributed version of this problem where we have multiple agents, and they want to learn the…

机器学习 · 计算机科学 2019-09-02 Chao Tao , Qin Zhang , Yuan Zhou

Consider an agent exploring an unknown graph in search of some goal state. As it walks around the graph, it learns the nodes and their neighbors. The agent only knows where the goal state is when it reaches it. How do we reach this goal…

数据结构与算法 · 计算机科学 2023-01-02 Siddhartha Banerjee , Vincent Cohen-Addad , Anupam Gupta , Zhouzi Li
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