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This paper addresses the challenge of navigating unmanned aerial vehicles in contested environments by introducing a cooperative multi-agent framework that increases the likelihood of safe UAV traversal. The approach involves two types of…

Optimization and Control · Mathematics 2025-09-03 Grant Stagg , Cameron K. Peterson

The Mutliagent Path Finding (MAPF) problem consists of identifying the trajectories that a set of agents should follow inside a given network in order to reach their desired destinations as soon as possible, but without colliding with each…

Computational Complexity · Computer Science 2025-06-03 Foivos Fioravantes , Dušan Knop , Jan Matyáš Křišťan , Nikolaos Melissinos , Michal Opler , Tung Anh Vu

This paper is concerned with determining the shortest path for a pursuer aiming to intercept a moving target travelling at a constant speed. To address this challenge, we introduce an efficient mathematical model outlined as an optimal…

Optimization and Control · Mathematics 2025-01-28 M. Akter , M. M. Rizvi , M. Forkan

Multi-Agent Path Finding (MAPF) is a long-standing problem in Robotics and Artificial Intelligence in which one needs to find a set of collision-free paths for a group of mobile agents (robots) operating in the shared workspace. Due to its…

Robotics · Computer Science 2021-08-12 Zain Alabedeen Ali , Konstantin Yakovlev

We consider the problem where an agent wants to find a hidden object that is randomly located in some vertex of a directed acyclic graph (DAG) according to a fixed but possibly unknown distribution. The agent can only examine vertices whose…

Machine Learning · Statistics 2019-04-23 Pierre Perrault , Vianney Perchet , Michal Valko

We consider the problem of finding a door along a wall with a blind robot that neither knows the distance to the door nor the direction towards of the door. This problem can be solved with the well-known doubling strategy yielding an…

Computational Geometry · Computer Science 2010-12-24 Tom Kamphans , Elmar Langetepe

In this paper, we investigate the problem of joint searching and tracking of multiple mobile targets by a group of mobile agents. The targets appear and disappear at random times inside a surveillance region and their positions are random…

Systems and Control · Electrical Eng. & Systems 2023-02-06 Savvas Papaioannou , Panayiotis Kolios , Theocharis Theocharides , Christos G. Panayiotou , Marios M. Polycarpou

Two popular examples of first-order optimization methods over linear spaces are coordinate descent and matching pursuit algorithms, with their randomized variants. While the former targets the optimization by moving along coordinates, the…

For deterministic optimization, line-search methods augment algorithms by providing stability and improved efficiency. We adapt a classical backtracking Armijo line-search to the stochastic optimization setting. While traditional…

Optimization and Control · Mathematics 2018-07-24 Courtney Paquette , Katya Scheinberg

Problem of finding 2D paths of special shape, e.g. paths comprised of line segments having the property that the angle between any two consecutive segments does not exceed the predefined threshold, is considered in the paper. This problem…

Artificial Intelligence · Computer Science 2018-11-05 Anton Andreychuk , Natalia Soboleva , Konstantin Yakovlev

Linear regression is a fundamental modeling tool in statistics and related fields. In this paper, we study an important variant of linear regression in which the predictor-response pairs are partially mismatched. We use an optimization…

Optimization and Control · Mathematics 2022-11-01 Rahul Mazumder , Haoyue Wang

The Multi-Agent Path Finding (MAPF) problem aims at finding non-conflicting paths for multiple agents from their respective sources to destinations. This problem arises in multiple real-life situations, including robot motion planning and…

Multiagent Systems · Computer Science 2026-01-16 Aditi Anand , Dildar Ali , Suman Banerjee

We consider the problem of multiple agents or robots searching for a target in the plane. This is motivated by Search and Rescue operations (SAR) in the high seas which in the past were often performed with several vessels, and more…

Robotics · Computer Science 2015-06-26 Alejandro Lopez-Ortiz , Daniela Maftuleac

Driving on the limits of vehicle dynamics requires predictive planning of future vehicle states. In this work, a search-based motion planning is used to generate suitable reference trajectories of dynamic vehicle states with the goal to…

Robotics · Computer Science 2019-07-19 Zlatan Ajanovic , Enrico Regolin , Georg Stettinger , Martin Horn , Antonella Ferrara

Time Optimal Path Parametrization is the problem of minimizing the time interval during which an actuation constrained agent can traverse a given path. Recently, an efficient linear-time algorithm for solving this problem was proposed.…

Robotics · Computer Science 2019-06-24 Igor Spasojevic , Varun Murali , Sertac Karaman

The problem of finding the shortest path in a graph G(V, E) has been widely studied. However, in many applications it is necessary to compute an arbitrary number of them, k. Even though the problem has raised a lot of interest from…

Data Structures and Algorithms · Computer Science 2024-08-16 Carlos Linares López , Ian Herman

The multi-agent path finding (MAPF) problem is a combinatorial search problem that aims at finding paths for multiple agents (e.g., robots) in an environment (e.g., an autonomous warehouse) such that no two agents collide with each other,…

Artificial Intelligence · Computer Science 2021-09-20 Aysu Bogatarkan

On an assigned graph, the problem of Multi-Agent Pathfinding (MAPF) consists in finding paths for multiple agents, avoiding collisions. Finding the minimum-length solution is known to be NP-hard, and computation times grows exponentially…

Multiagent Systems · Computer Science 2024-04-10 Stefano Ardizzoni , Irene Saccani , Luca Consolini , Marco Locatelli

We consider an agent on a fixed but arbitrary node of a known threshold network, with the task of detecting an unknown missing link/node. We obtain analytic formulas for the probability of success, when the agent's tool is the free…

Quantum Physics · Physics 2011-01-26 Steve Kirkland , Simone Severini

We consider $n$ unit-speed mobile agents initially positioned at the center of a unit disk, tasked with inspecting all points on the disk's perimeter. A perimeter point is considered covered if an agent located outside the disk's interior…

Discrete Mathematics · Computer Science 2025-09-10 James Conley , Konstantinos Georgiou
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