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We consider a single-facility location problem, where agents are positioned on the real line and are partitioned into multiple disjoint districts. The goal is to choose a location (where a public facility is to be built) so as to minimize…

Computer Science and Game Theory · Computer Science 2021-07-13 Aris Filos-Ratsikas , Alexandros A. Voudouris

Traditionally, Euclidean geometry is treated by scientists as a priori and objective. However, when we take the position of an agent, the problem of selecting a best route should also factor in the abilities of the agent, its embodiment and…

Artificial Intelligence · Computer Science 2022-11-04 Karen Archer , Nicola Catenacci Volpi , Franziska Bröker , Daniel Polani

Multi-agent pathfinding (MAPF) is concerned with planning collision-free paths for a team of agents from their start to goal locations in an environment cluttered with obstacles. Typical approaches for MAPF consider the locations of…

Artificial Intelligence · Computer Science 2022-03-22 David Vainshtein , Kiril Solovey , Oren Salzman

In this paper, we investigate the distributed shortest distance optimization problem for a multi-agent network to cooperatively minimize the sum of the quadratic distances from some convex sets, where each set is only associated with one…

Systems and Control · Computer Science 2016-02-04 Youcheng Lou , Yiguang Hong , Shouyang Wang

Given a convex quadratic potential of which its minimum is the agent's goal and a Euclidean space populated with ellipsoidal obstacles, one can construct a Rimon-Koditschek (RK) artificial potential to navigate. Its negative gradient…

Optimization and Control · Mathematics 2022-09-13 Harshat Kumar , Santiago Paternain , Alejandro Ribeiro

Building agents that can explore their environments intelligently is a challenging open problem. In this paper, we make a step towards understanding how a hierarchical design of the agent's policy can affect its exploration capabilities.…

Machine Learning · Computer Science 2018-11-19 Maruan Al-Shedivat , Lisa Lee , Ruslan Salakhutdinov , Eric Xing

This paper proposes a decentralized approach for solving the problem of moving a swarm of agents into a desired formation. We propose a decentralized assignment algorithm which prescribes goals to each agent using only local information.…

Optimization and Control · Mathematics 2020-05-06 Logan Beaver , Andreas Malikopoulos

For the planning of large pedestrian facilities, the movement of pedestrians in various situations has to be modelled. Many tools for pedestrian planning are based on cellular automata (CA), discrete in space and time, some use self driven…

Physics and Society · Physics 2009-12-04 B. Steffen , A. Seyfried

We introduce a new route-finding problem which considers perception and travel costs simultaneously. Specifically, we consider the problem of finding the shortest tour such that all objects of interest can be detected successfully. To…

Data Structures and Algorithms · Computer Science 2024-07-10 Cheng Peng , Minghan Wei , Volkan Isler

This work considers a Motion Planning Problem with Dynamic Obstacles (MPDO) in 2D that requires finding a minimum-arrival-time collision-free trajectory for a point robot between its start and goal locations amid dynamic obstacles moving…

Robotics · Computer Science 2022-06-03 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

The interdiction of escaping adversaries in urban networks is a critical security challenge. State-of-the-art game-theoretic models, such as the Escape Interdiction Game (EIG), provide comprehensive frameworks but assume a highly dynamic…

Data Structures and Algorithms · Computer Science 2025-10-07 Sukanya Samanta , Manohar Reddy

We consider the general problem of geometric task allocation, wherein a large, decentralised swarm of simple mobile agents must detect the locations of tasks in the plane and position themselves nearby. The tasks are represented by an a…

Multiagent Systems · Computer Science 2022-10-17 Michael Amir , Yigal Koifman , Yakov Bloch , Ariel Barel , Alfred M. Bruckstein

Accurate prediction of driving scene is a challenging task due to uncertainty in sensor data, the complex behaviors of agents, and the possibility of multiple feasible futures. Existing prediction methods using occupancy grid maps primarily…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Rabbia Asghar , Lukas Rummelhard , Wenqian Liu , Anne Spalanzani , Christian Laugier

We present a scalable and effective multi-agent safe motion planner that enables a group of agents to move to their desired locations while avoiding collisions with obstacles and other agents, with the presence of rich obstacles,…

Robotics · Computer Science 2020-12-17 Jingkai Chen , Jiaoyang Li , Chuchu Fan , Brian Williams

In this chapter, we discuss the mathematical modeling of egressing pedestrians in an unknown environment with multiple exits. We investigate different control problems to enhance the evacuation time of a crowd of agents, by few informed…

Optimization and Control · Mathematics 2021-08-30 Giacomo Albi , Federica Ferrarese , Chiara Segala

Robust agent-based models for pedestrian dynamics, which can predict the motion of pedestrians in various situations without specific adjustment of the model or its parameters, are highly desirable. But the modeller's task is challenging,…

Physics and Society · Physics 2023-11-01 Iñaki Echeverría-Huarte , Alexandre Nicolas

We present an approach for identifying the most walkable direction for navigation using a hand-held camera. Our approach extracts semantically rich contextual information from the scene using a custom encoder-decoder architecture for…

Computer Vision and Pattern Recognition · Computer Science 2017-12-04 Sachin Mehta , Hannaneh Hajishirzi , Linda Shapiro

This paper considers a two-dimensional persistent monitoring problem by controlling movements of second-order agents to minimize some uncertainty metric associated with targets in a dynamic environment. In contrast to common sensing models…

Optimization and Control · Mathematics 2019-11-12 Yan-Wu Wang , Ming-Jie Zhao , Wu Yang , Nan Zhou , Christos G. Cassandras

In this paper, we consider the general problem of obstacle avoidance based on dynamical system. The modulation matrix is developed by introducing orthogonal coordinates, which makes the modulation matrix more reasonable. The new…

Computer Vision and Pattern Recognition · Computer Science 2019-02-19 Weiya Ren

This paper addresses to the problem of finding the (minimum) Euclidean distance between two linear varieties. This problem is, usually, solved minimising a target function. We propose a novel approach: to use the Moore-Penrose generalised…

Metric Geometry · Mathematics 2016-11-25 M. A. Facas Vicente , Armando Gonçalves , José Vitória