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We formalize the problem of detecting a community in a network into testing whether in a given (random) graph there is a subgraph that is unusually dense. We observe an undirected and unweighted graph on N nodes. Under the null hypothesis,…

Statistics Theory · Mathematics 2013-03-01 Ery Arias-Castro , Nicolas Verzelen

Graphs are mathematical tools that can be used to represent complex real-world systems, such as financial markets and social networks. Hence, machine learning (ML) over graphs has attracted significant attention recently. However, it has…

Machine Learning · Computer Science 2023-03-22 O. Deniz Kose , Yanning Shen , Gonzalo Mateos

Although effective deepfake detection models have been developed in recent years, recent studies have revealed that these models can result in unfair performance disparities among demographic groups, such as race and gender. This can lead…

Computer Vision and Pattern Recognition · Computer Science 2024-03-03 Li Lin , Xinan He , Yan Ju , Xin Wang , Feng Ding , Shu Hu

Fair machine learning aims to mitigate the biases of model predictions against certain subpopulations regarding sensitive attributes such as race and gender. Among the many existing fairness notions, counterfactual fairness measures the…

Machine Learning · Computer Science 2022-01-12 Jing Ma , Ruocheng Guo , Mengting Wan , Longqi Yang , Aidong Zhang , Jundong Li

In network data analysis, it is becoming common to work with a collection of graphs that exhibit \emph{heterogeneity}. For example, neuroimaging data from patient cohorts are increasingly available. A critical analytical task is to identify…

Methodology · Statistics 2020-03-11 Leo L Duan , George Michailidis , Mingzhou Ding

This article explores and analyzes the unsupervised clustering of large partially observed graphs. We propose a scalable and provable randomized framework for clustering graphs generated from the stochastic block model. The clustering is…

Social and Information Networks · Computer Science 2022-12-06 Mostafa Rahmani , Andre Beckus , Adel Karimian , George Atia

Our concern is selecting the concentration matrix's nonzero coefficients for a sparse Gaussian graphical model in a high-dimensional setting. This corresponds to estimating the graph of conditional dependencies between the variables. We…

Methodology · Statistics 2010-04-05 Christophe Ambroise , Julien Chiquet , Catherine Matias

We propose estimating Gaussian graphical models (GGMs) that are fair with respect to sensitive nodal attributes. Many real-world models exhibit unfair discriminatory behavior due to biases in data. Such discrimination is known to be…

Machine Learning · Statistics 2024-06-17 Madeline Navarro , Samuel Rey , Andrei Buciulea , Antonio G. Marques , Santiago Segarra

Fair clustering is the process of grouping similar entities together, while satisfying a mathematically well-defined fairness metric as a constraint. Due to the practical challenges in precise model specification, the prescribed fairness…

Machine Learning · Statistics 2021-02-09 Sainyam Galhotra , Sandhya Saisubramanian , Shlomo Zilberstein

Bayesian methods for learning Gaussian graphical models offer a principled framework for quantifying model uncertainty and incorporating prior knowledge. However, their scalability is constrained by the computational cost of jointly…

Methodology · Statistics 2025-08-28 Reza Mohammadi , Marit Schoonhoven , Lucas Vogels , S. Ilker Birbil

Visualization of the adjacency matrix enables us to capture macroscopic features of a network when the matrix elements are aligned properly. Community structure, a network consisting of several densely connected components, is a…

Physics and Society · Physics 2023-07-11 Masaki Ochi , Tatsuro Kawamoto

Conformal prediction methods provide statistically rigorous marginal coverage guarantees for machine learning models, but such guarantees fail to account for algorithmic biases, thereby undermining fairness and trust. This paper introduces…

Machine Learning · Computer Science 2026-05-13 Senrong Xu , Yanke Zhou , Yuhao Tan , Zenan Li , Yuan Yao , Taolue Chen , Feng Xu , Xiaoxing Ma

Understanding community structure has played an essential role in explaining network evolution, as nodes join communities which connect further to form large-scale complex networks. In real-world networks, nodes are often organized into…

Social and Information Networks · Computer Science 2024-10-10 Elze de Vink , Akrati Saxena

Most existing semi-supervised graph-based clustering methods exploit the supervisory information by either refining the affinity matrix or directly constraining the low-dimensional representations of data points. The affinity matrix…

Machine Learning · Computer Science 2022-09-07 Huaming Ling , Chenglong Bao , Xin Liang , Zuoqiang Shi

Fairness-aware classification models have gained increasing attention in recent years as concerns grow on discrimination against some demographic groups. Most existing models require full knowledge of the sensitive features, which can be…

Machine Learning · Computer Science 2025-05-02 Kaiqi Jiang , Wenzhe Fan , Mao Li , Xinhua Zhang

We consider community detection from multiple correlated graphs sharing the same community structure. The correlated graphs are generated by independent subsampling of a parent graph sampled from the stochastic block model. The vertex…

Information Theory · Computer Science 2023-09-12 Joonhyuk Yang , Hye Won Chung

Graph signals offer a very generic and natural representation for data that lives on networks or irregular structures. The actual data structure is however often unknown a priori but can sometimes be estimated from the knowledge of the…

Machine Learning · Computer Science 2017-07-19 Hermina Petric Maretic , Dorina Thanou , Pascal Frossard

In machine learning, training data often capture the behaviour of multiple subgroups of some underlying human population. This behaviour can often be modelled as observations of an unknown dynamical system with an unobserved state. When the…

Machine Learning · Computer Science 2023-05-17 Quan Zhou , Jakub Marecek , Robert N. Shorten

We study the problem of graph partitioning, or clustering, in sparse networks with prior information about the clusters. Specifically, we assume that for a fraction $\rho$ of the nodes their true cluster assignments are known in advance.…

Physics and Society · Physics 2010-10-06 Armen E. Allahverdyan , Greg Ver Steeg , Aram Galstyan

Fairness in Graph Convolutional Neural Networks (GCNs) becomes a more and more important concern as GCNs are adopted in many crucial applications. Societal biases against sensitive groups may exist in many real world graphs. GCNs trained on…

Machine Learning · Computer Science 2024-01-29 Zicun Cong , Shi Baoxu , Shan Li , Jaewon Yang , Qi He , Jian Pei