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This paper addresses the problem of tracking mobile intruders in a polygonal environment. We assume that a team of diagonal guards is deployed inside the polygon to provide mobile coverage. First, we formulate the problem of tracking a…

Computational Geometry · Computer Science 2018-07-24 Guillermo J. Laguna , Sourabh Bhattacharya

We study the problem of rendezvous of two mobile agents starting at distinct locations in an unknown graph. The agents have distinct labels and walk in synchronous steps. However the graph is unlabelled and the agents have no means of…

Data Structures and Algorithms · Computer Science 2014-06-12 Shantanu Das , Dariusz Dereniowski , Adrian Kosowski , Przemyslaw Uznanski

This paper investigates efficient techniques to collect and concentrate an under-actuated particle swarm despite obstacles. Concentrating a swarm of particles is of critical importance in health-care for targeted drug delivery, where…

Robotics · Computer Science 2017-01-03 Arun V. Mahadev , Dominik Krupke , Jan-Marc Reinhardt , Sándor P. Fekete , Aaron T. Becker

Real-world graphs often manifest as a massive temporal stream of edges. The need for real-time analysis of such large graph streams has led to progress on low memory, one-pass streaming graph algorithms. These algorithms were designed for…

Data Structures and Algorithms · Computer Science 2014-10-16 Madhav Jha , C. Seshadhri , Ali Pinar

The dispersion problem on graphs requires $k$ robots placed arbitrarily at the $n$ nodes of an anonymous graph, where $k \leq n$, to coordinate with each other to reach a final configuration in which each robot is at a distinct node of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-01 Ajay D. Kshemkalyani , Faizan Ali

A mobile agent navigating along edges of a simple connected graph, either finite or countably infinite, has to find an inert target (treasure) hidden in one of the nodes. This task is known as treasure hunt. The agent has no a priori…

Data Structures and Algorithms · Computer Science 2021-02-16 Sébastien Bouchard , Yoann Dieudonné , Arnaud Labourel , Andrzej Pelc

We introduce a differentiable random access memory module with $O(1)$ performance regardless of size, scaling to billions of entries. The design stores entries on points of a chosen lattice to calculate nearest neighbours of arbitrary…

Machine Learning · Computer Science 2021-07-09 Adam P. Goucher , Rajan Troll

Hybrid networks, i.e., networks that leverage different means of communication, become ever more widespread. To allow theoretical study of such networks, [Augustine et al., SODA'20] introduced the $\mathsf{HYBRID}$ model, which is based on…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-17 Sam Coy , Artur Czumaj , Michael Feldmann , Kristian Hinnenthal , Fabian Kuhn , Christian Scheideler , Philipp Schneider , Martijn Struijs

Modern autonomous driving algorithms often rely on learning the mapping from visual inputs to steering actions from human driving data in a variety of scenarios and visual scenes. The required data collection is not only labor intensive,…

Robotics · Computer Science 2018-03-20 Sascha Hornauer , Karl Zipser , Stella X. Yu

Many disciplines of science and engineering deal with problems related to compositions, ranging from chemical compositions in materials science to portfolio compositions in economics. They exist in non-Euclidean simplex spaces, causing many…

Materials Science · Physics 2024-11-06 Adam M. Krajewski , Allison M. Beese , Wesley F. Reinhart , Zi-Kui Liu

There exist many variants of guarding an orthogonal polygon in an orthogonal fashion: sometimes a guard can see an entire rectangle, or along a staircase, or along an orthogonal path with at most $k$ bends. In this paper, we study all these…

Computational Geometry · Computer Science 2017-06-08 Therese Biedl , Saeed Mehrabi

Mobile agents have emerged as a powerful framework for solving fundamental graph problems in distributed settings in recent times. These agents, modelled as autonomous physical or software entities, possess local computation power, finite…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-26 Prabhat Kumar Chand , Anisur Rahaman Molla

In this paper, we study the problem of map matching with travel time constraints. Given a sequence of $k$ spatio-temporal measurements and an embedded path graph with travel time costs, the goal is to snap each measurement to a close-by…

Computational Geometry · Computer Science 2025-06-24 Yannick Bosch , Sabine Storandt

We propose a simple algorithm that needs only a few data samples from a single graph for learning local routing policies that generalize across a rich class of geometric random graphs in Euclidean metric spaces. We thus solve the all-pairs…

Machine Learning · Computer Science 2025-09-09 Yung-Fu Chen , Sen Lin , Anish Arora

We propose a self-organizing memory architecture for perceptual experience, capable of supporting autonomous learning and goal-directed problem solving in the absence of any prior information about the agent's environment. The architecture…

Artificial Intelligence · Computer Science 2015-02-24 Dan P. Guralnik , Daniel E. Koditschek

Swarm foraging is a common test case application for multi-robot systems. In this paper we present a novel algorithm for controlling swarm robots with limited communication range and storage capacity to efficiently search for and retrieve…

Robotics · Computer Science 2019-06-18 Simon O. Obute , Mehmet R. Dogar , Jordan H. Boyle

Current graph neural network (GNN) model-stealing methods rely heavily on queries to the victim model, assuming no hard query limits. However, in reality, the number of allowed queries can be severely limited. In this paper, we demonstrate…

We present an approach for agents to learn representations of a global map from sensor data, to aid their exploration in new environments. To achieve this, we embed procedures mimicking that of traditional Simultaneous Localization and…

Machine Learning · Computer Science 2021-01-01 Jingwei Zhang , Lei Tai , Ming Liu , Joschka Boedecker , Wolfram Burgard

We present a novel algorithm for dynamic routing with dedicated path protection which, as the presented simulation results suggest, can be efficient and exact. We present the algorithm in the setting of optical networks, but it should be…

Networking and Internet Architecture · Computer Science 2021-09-22 Ireneusz Szcześniak , Ireneusz Olszewski , Bożena Woźna-Szcześniak

There has been significant recent interest in graph-based nearest neighbor search methods, many of which are centered on the construction of navigable graphs over high-dimensional point sets. A graph is navigable if we can successfully move…

Data Structures and Algorithms · Computer Science 2025-03-18 Haya Diwan , Jinrui Gou , Cameron Musco , Christopher Musco , Torsten Suel