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We prove a large deviation principle for a greedy exploration process on an Erd\"os-R\'enyi (ER) graph when the number of nodes goes to infinity. To prove our main result, we use the general strategy to study large deviations of processes…

Probability · Mathematics 2021-10-11 P. Bermolen , V. Goicoechea , M. Jonckheere , E. Mordecki

Recent studies on deep convolutional neural networks present a simple paradigm of architecture design, i.e., models with more MACs typically achieve better accuracy, such as EfficientNet and RegNet. These works try to enlarge all the stages…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Chuanjian Liu , Kai Han , An Xiao , Yiping Deng , Wei Zhang , Chunjing Xu , Yunhe Wang

Network science provides effective tools to model and analyze complex systems. However, the increasing size of real-world networks becomes a major hurdle in order to understand their structure and topological features. Therefore, mapping…

Social and Information Networks · Computer Science 2020-08-11 Zakariya Ghalmane , Chantal Cherifi , Hocine Cherifi , Mohammed El Hassouni

We present a novel geographical routing scheme for spontaneous wireless mesh networks. Greedy geographical routing has many advantages, but suffers from packet losses occurring at the border of voids. In this paper, we propose a flexible…

Networking and Internet Architecture · Computer Science 2009-02-25 Fabrice Theoleyre , Eryk Schiller , Andrzej Duda

Single node failures represent more than 85% of all node failures in the today's large communication networks such as the Internet. Also, these node failures are usually transient. Consequently, having the routing paths globally recomputed…

Data Structures and Algorithms · Computer Science 2008-10-21 Amit M Bhosle , Teofilo F Gonzalez

Identifying the most influential nodes in a network, typically using centrality measures, is a central task in applied network analysis. However, real-world networks are often constructed from noisy or incomplete data, which can distort…

Statistics Theory · Mathematics 2026-05-26 Hui Shen , Eric D. Kolaczyk

The vital nodes are the ones that play an important role in the organization of network structure or the dynamical behaviours of networked systems. Previous studies usually applied the node centralities to quantify the importance of nodes.…

Physics and Society · Physics 2021-03-31 Zhihao Qiu , Tianlong Fan , Ming Li , Linyuan Lü

We propose a novel method for network inference from partially observed edges using a node-specific degree prior. The degree prior is derived from observed edges in the network to be inferred, and its hyper-parameters are determined by…

Machine Learning · Statistics 2016-02-09 Qingming Tang , Lifu Tu , Weiran Wang , Jinbo Xu

Uncertain graphs have been widely used to model complex linked data in many real-world applications, such as guaranteed-loan networks and power grids, where a node or edge may be associated with a probability. In these networks, a node…

Computational Engineering, Finance, and Science · Computer Science 2026-02-27 Dawei Cheng , Chen Chen , Xiaoyang Wang , Sheng Xiang

We consider the problem of maximizing the spread of influence in a social network by choosing a fixed number of initial seeds --- a central problem in the study of network cascades. The majority of existing work on this problem, formally…

Social and Information Networks · Computer Science 2016-09-22 Rico Angell , Grant Schoenebeck

We describe the Simple Greedy Matrix Completion Algorithm providing an efficient method for restoration of low-rank matrices from incomplete corrupted entries. We provide numerical evidences that, even in the simplest implementation, the…

Numerical Analysis · Mathematics 2013-04-16 Alexander Petukhov , Inna Kozlov

The observation, design and analysis of mesh-like networks in bionics, polymer physics and biological systems has brought forward an extensive catalog of fascinating structures of which a subgroup share a particular, yet critically under…

Tissues and Organs · Quantitative Biology 2023-08-08 Felix Kramer , Carl D Modes

Comparative graph and network analysis play an important role in both systems biology and pattern recognition, but existing surveys on the topic have historically ignored or underserved one or the other of these fields. We present an…

Social and Information Networks · Computer Science 2019-05-17 Emily Evans , Marissa Graham

Controlling a complex network towards a desire state is of great importance in many applications. Existing works present an approximate algorithm to find the driver nodes used to control partial nodes of the network. However, the driver…

Physics and Society · Physics 2017-07-05 Xizhe Zhang , Huaizhen Wang , Tianyang Lv

Preferential attachment is an appealing edge generating mechanism for modeling social networks. It provides both an intuitive description of network growth and an explanation for the observed power laws in degree distributions. However,…

Methodology · Statistics 2017-12-21 Phyllis Wan , Tiandong Wang , Richard A. Davis , Sidney I. Resnick

We consider the minimum cost intervention design problem: Given the essential graph of a causal graph and a cost to intervene on a variable, identify the set of interventions with minimum total cost that can learn any causal graph with the…

Machine Learning · Computer Science 2018-10-30 Erik M. Lindgren , Murat Kocaoglu , Alexandros G. Dimakis , Sriram Vishwanath

Learning the graph underlying a networked system from nodal signals is crucial to downstream tasks in graph signal processing and machine learning. The presence of hidden nodes whose signals are not observable might corrupt the estimated…

Machine Learning · Computer Science 2025-09-19 Hoang-Son Nguyen , Hoi-To Wai

Network detection is an important capability in many areas of applied research in which data can be represented as a graph of entities and relationships. Oftentimes the object of interest is a relatively small subgraph in an enormous,…

Social and Information Networks · Computer Science 2018-04-12 Steven T. Smith , Kenneth D. Senne , Scott Philips , Edward K. Kao , Garrett Bernstein

In the quest to improve efficiency, interdependence and complexity are becoming defining characteristics of modern complex networks representing engineered and natural systems. Graph theory is a widely used framework for modeling such…

Social and Information Networks · Computer Science 2022-05-31 Sai Munikoti , Laya Das , Balasubramaniam Natarajan

The realisation of sensing modalities based on the principles of compressed sensing is often hindered by discrepancies between the mathematical model of its sensing operator, which is necessary during signal recovery, and its actual…

Information Theory · Computer Science 2018-02-21 Valerio Cambareri , Amirafshar Moshtaghpour , Laurent Jacques
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