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We consider a random sparse graph with bounded average degree, in which a subset of vertices has higher connectivity than the background. In particular, the average degree inside this subset of vertices is larger than outside (but still…

Machine Learning · Statistics 2015-09-02 Andrea Montanari

Many applications collect a large number of time series, for example, the financial data of companies quoted in a stock exchange, the health care data of all patients that visit the emergency room of a hospital, or the temperature sequences…

Information Theory · Computer Science 2017-02-09 Jonathan Mei , José M. F. Moura

Graphical models capture relations between entities in a wide range of applications including social networks, biology, and natural language processing, among others. Graph neural networks (GNN) are neural models that operate over graphs,…

Machine Learning · Computer Science 2024-02-08 Xu Zheng , Farhad Shirani , Tianchun Wang , Shouwei Gao , Wenqian Dong , Wei Cheng , Dongsheng Luo

Graph isomorphism is a problem for which there is no known polynomial-time solution. Nevertheless, assessing (dis)similarity between two or more networks is a key task in many areas, such as image recognition, biology, chemistry, computer…

Computation · Statistics 2022-06-28 Pierre Miasnikof , Alexander Y. Shestopaloff , Cristián Bravo , Yuri Lawryshyn

Even pruned by the state-of-the-art network compression methods, Graph Neural Networks (GNNs) training upon non-Euclidean graph data often encounters relatively higher time costs, due to its irregular and nasty density properties, compared…

Machine Learning · Computer Science 2022-10-04 Chunhui Zhang , Chao Huang , Yijun Tian , Qianlong Wen , Zhongyu Ouyang , Youhuan Li , Yanfang Ye , Chuxu Zhang

Event detection has been an important task in transportation, whose task is to detect points in time when large events disrupts a large portion of the urban traffic network. Travel information {Origin-Destination} (OD) matrix data by map…

Machine Learning · Computer Science 2020-12-29 Yue Hu , Ao Qu , Dan Work

Social media has transformed global communication, yet its network structure can systematically distort perceptions through effects like the majority illusion and echo chambers. We introduce the perception gap index, a graph-based measure…

Social and Information Networks · Computer Science 2025-11-18 Hemant Kumar Gehlot , Mohammad Shirzadi , Junhao Gan , Ahad N. Zehmakan

We give efficient "collaboration protocols" through which two parties, who observe different features about the same instances, can interact to arrive at predictions that are more accurate than either could have obtained on their own. The…

Machine Learning · Computer Science 2025-04-09 Natalie Collina , Ira Globus-Harris , Surbhi Goel , Varun Gupta , Aaron Roth , Mirah Shi

This manuscript considers the following "graph classification" question: given a collection of graphs and associated classes, how can one predict the class of a newly observed graph? To address this question we propose a statistical model…

Applications · Statistics 2012-07-13 Joshua T. Vogelstein , William R. Gray , R. Jacob Vogelstein , Carey E. Priebe

We study the problem of inferring network topology from information cascades, in which the amount of time taken for information to diffuse across an edge in the network follows an unknown distribution. Unlike previous studies, which assume…

Social and Information Networks · Computer Science 2019-03-05 Feng Ji , Wenchang Tang , Wee Peng Tay , Edwin K. P. Chong

Graphs are widely used in various fields of computer science. They have also found application in unrelated areas, leading to a diverse range of problems. These problems can be modeled as relationships between entities in various contexts,…

Data Structures and Algorithms · Computer Science 2024-05-20 Davide Rucci

In data-parallel optimization of machine learning models, workers collaborate to improve their estimates of the model: more accurate gradients allow them to use larger learning rates and optimize faster. We consider the setting in which all…

Machine Learning · Computer Science 2022-11-09 Thijs Vogels , Hadrien Hendrikx , Martin Jaggi

Let $N$ local decision makers in a sensor network communicate with their neighbors to reach a decision \emph{consensus}. Communication is local, among neighboring sensors only, through noiseless or noisy links. We study the design of the…

Information Theory · Computer Science 2007-07-13 Soummya Kar , Saeed Aldosari , José M. F. Moura

We consider the problem of perfectly recovering the vertex correspondence between two correlated Erd\H{o}s-R\'enyi (ER) graphs. For a pair of correlated graphs on the same vertex set, the correspondence between the vertices can be obscured…

Information Theory · Computer Science 2016-02-03 Daniel Cullina , Negar Kiyavash

Graphlets are induced subgraph patterns and have been frequently applied to characterize the local topology structures of graphs across various domains, e.g., online social networks (OSNs) and biological networks. Discovering and computing…

Social and Information Networks · Computer Science 2016-10-19 Xiaowei Chen , Yongkun Li , Pinghui Wang , John C. S. Lui

We study a number of graph exploration problems in the following natural scenario: an algorithm starts exploring an undirected graph from some seed node; the algorithm, for an arbitrary node $v$ that it is aware of, can ask an oracle to…

Data Structures and Algorithms · Computer Science 2017-10-25 Flavio Chierichetti , Shahrzad Haddadan

The group synchronization problem is to estimate unknown group elements at the vertices of a graph when given a set of possibly noisy observations of group differences at the edges. We consider the group synchronization problem on finite…

Statistics Theory · Mathematics 2022-05-24 Bradley Stich

In this paper, we propose a family of label recovery problems on weighted Euclidean random graphs. The vertices of a graph are embedded in $\mathbb{R}^d$ according to a Poisson point process, and are assigned to a discrete community label.…

Social and Information Networks · Computer Science 2025-01-15 Julia Gaudio , Charlie Guan , Xiaochun Niu , Ermin Wei

Graph-based classification methods are widely used for security and privacy analytics. Roughly speaking, graph-based classification methods include collective classification and graph neural network. Evading a graph-based classification…

Cryptography and Security · Computer Science 2019-08-14 Binghui Wang , Neil Zhenqiang Gong

Robust estimation under Huber's $\epsilon$-contamination model has become an important topic in statistics and theoretical computer science. Statistically optimal procedures such as Tukey's median and other estimators based on depth…

Machine Learning · Statistics 2019-02-27 Chao Gao , Jiyi Liu , Yuan Yao , Weizhi Zhu