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The notion of degree-constrained spanning hierarchies, also called k-trails, was recently introduced in the context of network routing problems. They describe graphs that are homomorphic images of connected graphs of degree at most k. First…

Data Structures and Algorithms · Computer Science 2015-12-08 Mohit Singh , Rico Zenklusen

This paper develops a decentralized approach to mobile sensor coverage by a multi-robot system. We consider a scenario where a team of robots with limited sensing range must position itself to effectively detect events of interest in a…

Robotics · Computer Science 2021-10-01 Walker Gosrich , Siddharth Mayya , Rebecca Li , James Paulos , Mark Yim , Alejandro Ribeiro , Vijay Kumar

In this paper we provide a fully distributed implementation of the k-means clustering algorithm, intended for wireless sensor networks where each agent is endowed with a possibly high-dimensional observation (e.g., position, humidity,…

Machine Learning · Computer Science 2014-11-11 Gabriele Oliva , Roberto Setola , Christoforos N. Hadjicostis

The in-memory graph layout or organization has a considerable impact on the time and energy efficiency of distributed memory graph computations. It affects memory locality, inter-task load balance, communication time, and overall memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-04 George M Slota , Sivasankaran Rajamanickam , Kamesh Madduri

We propose a hybrid heuristic algorithm for solving the Heaviest k-Subgraph Problem in online social networks -- a combinatorial graph optimization problem central to many important applications in weighted social networks, including…

Social and Information Networks · Computer Science 2023-06-01 Ville P. Saarinen , Ted Hsuan Yun Chen , Mikko Kivelä

Recent deep learning approaches for representation learning on graphs follow a neighborhood aggregation procedure. We analyze some important properties of these models, and propose a strategy to overcome those. In particular, the range of…

Machine Learning · Computer Science 2018-06-27 Keyulu Xu , Chengtao Li , Yonglong Tian , Tomohiro Sonobe , Ken-ichi Kawarabayashi , Stefanie Jegelka

The family of visibility algorithms were recently introduced as mappings between time series and graphs. Here we extend this method to characterize spatially extended data structures by mapping scalar fields of arbitrary dimension into…

Data Analysis, Statistics and Probability · Physics 2017-09-13 Lucas Lacasa , Jacopo Iacovacci

Exchangeable random graphs serve as an important probabilistic framework for the statistical analysis of network data. In this work we develop an alternative parameterization for a large class of exchangeable random graphs, where the nodes…

Statistics Theory · Mathematics 2020-05-01 Jing Lei

We propose a novel perspective on varied-density clustering for high-dimensional data by framing it as a label propagation process in neighborhood graphs that adapt to local density variations. Our method formally connects density-based…

Machine Learning · Computer Science 2025-08-06 Ninh Pham , Yingtao Zheng , Hugo Phibbs

We consider the problem of routing on a network in the presence of line segment constraints (i.e., obstacles that edges in our network are not allowed to cross). Let $P$ be a set of $n$ points in the plane and let $S$ be a set of…

Computational Geometry · Computer Science 2019-01-03 Prosenjit Bose , Matias Korman , André van Renssen , Sander Verdonschot

Graph-based kNN algorithms have garnered widespread popularity for machine learning tasks due to their simplicity and effectiveness. However, as factual data often inherit complex distributions, the conventional kNN graph's reliance on a…

Machine Learning · Computer Science 2023-11-13 Shaojie Min , Ji Liu

Soft Random Geometric Graphs (SRGGs) have been widely applied to various models including those of wireless sensor, communication, social and neural networks. SRGGs are constructed by randomly placing nodes in some space and making pairwise…

Disordered Systems and Neural Networks · Physics 2018-12-05 Pete Pratt , Carl P. Dettmann , Woon Hau Chin

We consider the scenario of $n$ sensor nodes observing streams of data. The nodes are connected to a central server whose task it is to compute some function over all data items observed by the nodes. In our case, there exists a total order…

Data Structures and Algorithms · Computer Science 2017-09-22 Felix Biermeier , Björn Feldkord , Manuel Malatyali , Friedhelm Meyer auf der Heide

Distributed estimation in interconnected systems has gained increasing attention due to its relevance in diverse applications such as sensor networks, autonomous vehicles, and cloud computing. In real practice, the sensor network may suffer…

Systems and Control · Electrical Eng. & Systems 2025-05-06 Mohammadreza Doostmohammadian , Mohammad Pirani

Complex networks with high numbers of nodes or links are often difficult to analyse. However, not all elements contribute equally to their structural patterns. A small number of elements (the hubs) seem to play a particularly relevant role…

Physics and Society · Physics 2007-09-24 Bernat Corominas-Murtra , Sergi Valverde , Carlos Rodríguez-Caso , Ricard V. Solé

Inference and prediction of routes have become of interest over the past decade owing to a dramatic increase in package delivery and ride-sharing services. Given the underlying combinatorial structure and the incorporation of probabilities,…

Logic in Computer Science · Computer Science 2023-06-21 Suwei Yang , Victor C. Liang , Kuldeep S. Meel

We investigate the connectivity of a wireless sensor network secured by the heterogeneous key predistribution scheme under an independent on/off channel model. The heterogeneous scheme induces an inhomogeneous random key graph, denoted by…

Optimization and Control · Mathematics 2017-10-09 Rashad Eletreby , Osman Yağan

Strategic classification studies learning in settings where users can modify their features to obtain favorable predictions. Most current works focus on simple classifiers that trigger independent user responses. Here we examine the…

Machine Learning · Computer Science 2023-05-02 Itay Eilat , Ben Finkelshtein , Chaim Baskin , Nir Rosenfeld

Recently, strategic games inspired by Schelling's influential model of residential segregation have been studied in the TCS and AI literature. In these games, agents of k different types occupy the nodes of a network topology aiming to…

Computer Science and Game Theory · Computer Science 2024-03-15 Lata Narayanan , Yasaman Sabbagh , Alexandros A. Voudouris

Many interactive image segmentation techniques are based on semi-supervised learning. The user may label some pixels from each object and the SSL algorithm will propagate the labels from the labeled to the unlabeled pixels, finding object…

Machine Learning · Computer Science 2020-02-14 Fabricio Aparecido Breve