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Inferring graph structure from observations on the nodes is an important and popular network science task. Departing from the more common inference of a single graph and motivated by social and biological networks, we study the problem of…

Machine Learning · Statistics 2020-10-19 Madeline Navarro , Yuhao Wang , Antonio G. Marques , Caroline Uhler , Santiago Segarra

In statistical network analysis, models for binary adjacency matrices satisfying vertex exchangeability are commonly used. However, such models may fail to capture key features of the data-generating process when interactions, rather than…

Methodology · Statistics 2025-09-03 Ayoushman Bhattacharya , Nilanjan Chakraborty , Robert Lunde

Representation learning on graphs has been gaining attention due to its wide applicability in predicting missing links, and classifying and recommending nodes. Most embedding methods aim to preserve certain properties of the original graph…

Social and Information Networks · Computer Science 2019-09-13 Palash Goyal , Di Huang , Sujit Rokka Chhetri , Arquimedes Canedo , Jaya Shree , Evan Patterson

New methods that exploit sparse structures arising in smart grid networks are proposed for the state estimation problem when data injection attacks are present. First, construction strategies for unobservable sparse data injection attacks…

Information Theory · Computer Science 2015-02-17 Mete Ozay , Inaki Esnaola , Fatos T. Yarman Vural , Sanjeev R. Kulkarni , H. Vincent Poor

This paper studies the maximization of the weighted sum energy efficiency (WSEE). We derive a first-order optimal algorithm applicable to a wide class of communication scenarios exhibiting very fast convergence. We also discuss how to…

Information Theory · Computer Science 2018-12-19 Bho Matthiesen , Yang Yang , Eduard A. Jorswieck

Network systems have become a ubiquitous modeling tool in many areas of science where nodes in a graph represent distributed processes and edges between nodes represent a form of dynamic coupling. When a network topology is already known…

Adaptation and Self-Organizing Systems · Physics 2019-05-30 Donatello Materassi , Murti V. Salapaka

This paper proposes distributed discrete-time algorithms to cooperatively solve an additive cost optimization problem in multi-agent networks. The striking feature lies in the use of only the sign of relative state information between…

Systems and Control · Computer Science 2018-12-11 Jiaqi Zhang , Keyou You , Tamer Başar

Learning-based methods have become increasingly popular for solving vehicle routing problems due to their near-optimal performance and fast inference speed. Among them, the combination of deep reinforcement learning and graph representation…

Machine Learning · Computer Science 2024-05-22 Zhenwei Wang , Ruibin Bai , Fazlullah Khan , Ender Ozcan , Tiehua Zhang

Edge-centric distributed computations have appeared as a recent technique to improve the shortcomings of think-like-a-vertex algorithms on large scale-free networks. In order to increase parallelism on this model, edge partitioning -…

Data Structures and Algorithms · Computer Science 2018-10-12 Sebastian Schlag , Christian Schulz , Daniel Seemaier , Darren Strash

Sparse networks can be found in a wide range of applications, such as biological and communication networks. Inference of such networks from data has been receiving considerable attention lately, mainly driven by the need to understand and…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Junyang Jin , Ye Yuan , Jorge Goncalves

We consider a group of computation units trying to cooperatively solve a distributed optimization problem with shared linear equality and inequality constraints. Assuming that the computation units are communicating over a network whose…

Optimization and Control · Mathematics 2019-06-06 Simon Michalowsky , Bahman Gharesifard , Christian Ebenbauer

The problem of computing the vertex expansion of a graph is an NP-hard problem. The current best worst-case approximation guarantees for computing the vertex expansion of a graph are a $O(\sqrt{\log n})$-approximation algorithm due to…

Data Structures and Algorithms · Computer Science 2018-05-25 Anand Louis , Rakesh Venkat

With the rapid upsurge of deep learning tasks at the network edge, effective edge artificial intelligence (AI) inference becomes critical to provide low-latency intelligent services for mobile users via leveraging the edge computing…

Information Theory · Computer Science 2024-10-30 Xiangyu Yang , Sheng Hua , Yuanming Shi , Hao Wang , Jun Zhang , Khaled B. Letaief

Graph partition is a key component to achieve workload balance and reduce job completion time in parallel graph processing systems. Among the various partition strategies, edge partition has demonstrated more promising performance in…

Data Structures and Algorithms · Computer Science 2020-12-18 Zhenyu Guo , Mingyu Xiao , Yi Zhou , Dongxiang Zhang , Kian-Lee Tan

An overarching issue in resource management of wireless networks is assessing their capacity: How much communication can be achieved in a network, utilizing all the tools available: power control, scheduling, routing, channel assignment and…

Networking and Internet Architecture · Computer Science 2018-06-29 Magnus M. Halldorsson , Tigran Tonoyan

A widely studied process of influence diffusion in social networks posits that the dynamics of influence diffusion evolves as follows: Given a graph $G=(V,E)$, representing the network, initially \emph{only} the members of a given…

Data Structures and Algorithms · Computer Science 2015-12-22 Gennaro Cordasco , Luisa Gargano , Adele A. Rescigno , Ugo Vaccaro

The R software package rSPDE contains methods for approximating Gaussian random fields based on fractional-order stochastic partial differential equations (SPDEs). A common example of such fields are Whittle-Mat\'ern fields on bounded…

Computation · Statistics 2025-02-28 David Bolin , Alexandre B. Simas

Network structure optimization is a fundamental task in complex network analysis. However, almost all the research on Bayesian optimization is aimed at optimizing the objective functions with vectorial inputs. In this work, we first present…

Machine Learning · Statistics 2018-11-07 Jiaxu Cui , Bo Yang

Representing the nodes of continuous-time temporal graphs in a low-dimensional latent space has wide-ranging applications, from prediction to visualization. Yet, analyzing continuous-time relational data with timestamped interactions…

Machine Learning · Computer Science 2024-05-28 Raphaël Romero , Jefrey Lijffijt , Riccardo Rastelli , Marco Corneli , Tijl De Bie

This paper resolves a common complexity issue in the Bethe approximation of statistical physics and the Belief Propagation (BP) algorithm of artificial intelligence. The Bethe approximation and the BP algorithm are heuristic methods for…

Artificial Intelligence · Computer Science 2013-03-22 Jinwoo Shin