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Related papers: Pursuit on a Graph Using Partial Information

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In this paper, a novel approach is introduced which utilizes a Rapidly-exploring Random Graph to improve sampling-based autonomous exploration of unknown environments with unmanned ground vehicles compared to the current state of the art.…

Robotics · Computer Science 2021-09-15 Marco Steinbrink , Philipp Koch , Bernhard Jung , Stefan May

The task of following-the-leader is implemented using a hierarchical Deep Neural Network (DNN) end-to-end driving model to match the direction and speed of a target pedestrian. The model uses a classifier DNN to determine if the pedestrian…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Jose Solomon , Francois Charette

The game of Cops and Robber is a pursuit-evasion game which is usually played on a connected graph. In the game, a set of cops and a robber move around the vertices of a graph along edges, where the cops aim to capture the robber, while the…

Combinatorics · Mathematics 2021-07-27 Pinkaew Siriwong , Ratinan Boonklurb , Henry Liu , Sirirat Singhun

Planning for Autonomous Unmanned Ground Vehicles (AUGV) is still a challenge, especially in difficult, off-road, critical situations. Automatic planning can be used to reach mission objectives, to perform navigation or maneuvers. Most of…

Artificial Intelligence · Computer Science 2021-08-03 Kevin Osanlou , Christophe Guettier , Andrei Bursuc , Tristan Cazenave , Eric Jacopin

In this paper, we investigate a pursuit-evasion game in which a mobile observer tries to track a target in an environment containing obstacles. We formulate the game as an optimal control problem with state inequality constraint in a simple…

Optimization and Control · Mathematics 2016-11-16 Rui Zou , Hamid Emadi , Sourabh Bhattacharya

This paper proposes a new perspective on the conventional planar target tracking problem. One evader and one pursuer are considered in the dynamics. In the planar tracking, pursuer has the ability to measure the position and the velocity…

Systems and Control · Computer Science 2018-01-10 Nan Yu , Chifu Yang , Miao Li

Consider a given planar circular region, in which there is an unknown number of smart mobile evaders. We wish to detect evaders using a line formation of sweeping agents whose total sensing length is predetermined. We propose procedures for…

Multiagent Systems · Computer Science 2023-05-16 Roee M. Francos , Alfred M. Bruckstein

We study versions of cop and robber pursuit-evasion games on the visibility graphs of polygons, and inside polygons with straight and curved sides. Each player has full information about the other player's location, players take turns, and…

Computational Geometry · Computer Science 2016-01-07 Anna Lubiw , Jack Snoeyink , Hamideh Vosoughpour

In this paper we consider a robot patrolling problem in which events arrive randomly over time at the vertices of a graph. When an event arrives it remains active for a random amount of time. If that time active exceeds a certain threshold,…

Robotics · Computer Science 2014-09-17 Ahmad Bilal Asghar , Stephen L. Smith

We introduce a pursuit game played between a team of a sensor and an attacker and a mobile target in the unbounded Euclidean plane. The target is faster than the sensor, but slower than the attacker. The sensor's objective is to keep the…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Prajakta Surve , Shaunak D. Bopardikar , Alexander Von Moll , Isaac Weintraub , David W. Casbeer

We consider a model of two competing microswimming agents engaged in a pursue-evasion task within a low-Reynolds-number environment. Agents can only perform simple maneuvers and sense hydrodynamic disturbances, which provide ambiguous…

Fluid Dynamics · Physics 2022-03-04 Francesco Borra , Luca Biferale , Massimo Cencini , Antonio Celani

We investigate a graph probing problem in which an agent has only an incomplete view $G' \subsetneq G$ of the network and wishes to explore the network with least effort. In each step, the agent selects a node $u$ in $G'$ to probe. After…

Social and Information Networks · Computer Science 2017-02-07 Tri P. Nguyen , Hung T. Nguyen , Thang N. Dinh

This work examines the problem of graph learning over a diffusion network when data can be collected from a limited portion of the network (partial observability). The main question is to establish technical guarantees of consistent…

Statistics Theory · Mathematics 2020-06-08 Vincenzo Matta , Augusto Santos , Ali H. Sayed

Suppose that in a given planar circular region, there are some smart mobile evaders and we would like to find them using sweeping agents. We assume that each agent has a line sensor of length 2r. We propose procedures for designing…

Multiagent Systems · Computer Science 2020-05-05 Roee M. Francos , Alfred M. Bruckstein

We propose efficient distributed algorithms to aid navigation of a user through a geographic area covered by sensors. The sensors sense the level of danger at their locations and we use this information to find a safe path for the user…

Networking and Internet Architecture · Computer Science 2007-05-23 Chiranjeeb Buragohain , Divyakant Agrawal , Subhash Suri

The Unreactive Markovian Evader Interdiction Problem (UME) asks to optimally place sensors on a network to detect Markovian motion by one or more "evaders". It was previously proved that finding the optimal sensor placement is NP-hard if…

Discrete Mathematics · Computer Science 2009-11-24 Alexander Gutfraind , Kiyan Ahmadizadeh

In object tracking, outlier is one of primary factors which degrade performance of image-based tracking algorithms. In this respect, therefore, most of the existing methods simply discard detected outliers and pay little or no attention to…

Computer Vision and Pattern Recognition · Computer Science 2014-09-16 Jae-Yeong Lee , Wonpil Yu

Assume that a graph $G$ models a detection system for a facility with a possible ``intruder," or a multiprocessor network with a possible malfunctioning processor. We consider the problem of placing detectors at a subset of vertices in $G$…

Combinatorics · Mathematics 2022-08-15 Devin Jean , Suk Seo

Motivated by security needs in unmanned aerial system (UAS) operations, an algorithm for identifying airspace intruders (e.g., birds vs. drones) is developed. The algorithm is structured to use sensed intruder velocity data from…

Systems and Control · Electrical Eng. & Systems 2021-05-18 David Petrizze , Kasra Koorehdavoudi , Mengran Xue , Sandip Roy

We consider a variation of cop vs.\ robber on graph in which the robber is not restricted by the graph edges; instead, he picks a time-independent probability distribution on $V(G)$ and moves according to this fixed distribution. The cop…

Combinatorics · Mathematics 2013-08-23 Natasha Komarov , Peter Winkler
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