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Estimating conditional independence graphs from high-dimensional Gaussian data is challenging because methods must detect relevant edges while rigorously controlling statistical errors. We propose a Bayesian framework based on a prior…

统计方法学 · 统计学 2026-04-21 Roland B. Sogan , Tabea Rebafka , Fanny Villers

Graph-based clustering plays an important role in the clustering area. Recent studies about graph convolution neural networks have achieved impressive success on graph type data. However, in general clustering tasks, the graph structure of…

机器学习 · 计算机科学 2024-04-23 Xuelong Li , Hongyuan Zhang , Rui Zhang

Statistical inference of genetic regulatory networks is essential for understanding temporal interactions of regulatory elements inside the cells. For inferences of large networks, identification of network structure is typical achieved…

定量方法 · 定量生物学 2008-04-07 Heng Lian

We introduce a novel statistical significance-based approach for clustering hierarchical data using semi-parametric linear mixed-effects models designed for responses with laws in the exponential family (e.g., Poisson and Bernoulli). Within…

统计方法学 · 统计学 2025-02-04 Alessandra Ragni , Chiara Masci , Francesca Ieva , Anna Maria Paganoni

The stochastic block model is a classical cluster-exhibiting random graph model that has been widely studied in statistics, physics and computer science. In its simplest form, the model is a random graph with two equal-sized clusters, with…

概率论 · 数学 2014-07-04 Varun Kanade , Elchanan Mossel , Tselil Schramm

A graphical model is a structured representation of the data generating process. The traditional method to reason over random variables is to perform inference in this graphical model. However, in many cases the generating process is only a…

机器学习 · 统计学 2019-10-31 Victor Garcia Satorras , Zeynep Akata , Max Welling

Network-linked data, where multivariate observations are interconnected by a network, are becoming increasingly prevalent in fields such as sociology and biology. These data often exhibit inherent noise and complex relational structures,…

统计方法学 · 统计学 2025-09-11 Jianxiang Wang , Can M. Le , Tianxi Li

We consider the problem of analyzing the heterogeneity of clustering distributions for multiple groups of observed data, each of which is indexed by a covariate value, and inferring global clusters arising from observations aggregated over…

统计方法学 · 统计学 2012-12-06 XuanLong Nguyen

Graph-based analyses have gained a lot of relevance in the past years due to their high potential in describing complex systems by detailing the actors involved, their relations and their behaviours. Nevertheless, in scenarios where these…

机器学习 · 计算机科学 2021-06-11 Francesco Zola , Lander Segurola , Jan Lukas Bruse , Mikel Galar Idoate

Graph clustering involves the task of dividing nodes into clusters, so that the edge density is higher within clusters as opposed to across clusters. A natural, classic and popular statistical setting for evaluating solutions to this…

机器学习 · 统计学 2016-11-17 Yudong Chen , Sujay Sanghavi , Huan Xu

It is now well understood that machine learning models, trained on data without due care, often exhibit unfair and discriminatory behavior against certain populations. Traditional algorithmic fairness research has mainly focused on…

机器学习 · 计算机科学 2022-09-16 Rashidul Islam , Shimei Pan , James R. Foulds

A model involving Gaussian processes (GPs) is introduced to simultaneously handle multi-task learning, clustering, and prediction for multiple functional data. This procedure acts as a model-based clustering method for functional data as…

机器学习 · 计算机科学 2023-01-24 Arthur Leroy , Pierre Latouche , Benjamin Guedj , Servane Gey

Many existing statistical and machine learning tools for social network analysis focus on a single level of analysis. Methods designed for clustering optimize a global partition of the graph, whereas projection based approaches (e.g. the…

Graph clustering is a fundamental problem that has been extensively studied both in theory and practice. The problem has been defined in several ways in literature and most of them have been proven to be NP-Hard. Due to their high practical…

社会与信息网络 · 计算机科学 2012-03-27 Sumit Singh

Despite major methodological developments, Bayesian inference for Gaussian graphical models remains challenging in high dimension due to the tremendous size of the model space. This article proposes a method to infer the marginal and…

统计方法学 · 统计学 2018-04-10 Gwenaël G. R. Leday , Sylvia Richardson

Clustering methods are a valuable tool for the identification of patterns in high dimensional data with applications in many scientific problems. However, quantifying uncertainty in clustering is a challenging problem, particularly when…

统计方法学 · 统计学 2018-06-01 Marcio Valk , Gabriela Bettella Cybis

Malware detection in modern computing environments demands models that are not only accurate but also interpretable and robust to evasive techniques. Graph neural networks (GNNs) have shown promise in this domain by modeling rich structural…

密码学与安全 · 计算机科学 2026-05-26 Hossein Shokouhinejad , Roozbeh Razavi-Far , Griffin Higgins , Ali A Ghorbani

We propose a new family of combinatorial inference problems for graphical models. Unlike classical statistical inference where the main interest is point estimation or parameter testing, combinatorial inference aims at testing the global…

统计理论 · 数学 2018-02-14 Matey Neykov , Junwei Lu , Han Liu

With the inflation of the data, clustering analysis, as a branch of unsupervised learning, lacks unified understanding and application of its mathematical law. Based on the view of fixed point, this paper restates the model-based clustering…

机器学习 · 计算机科学 2020-02-20 Jianhao Ding , Lansheng Han

Identifying influential nodes in complex networks is a fundamental task in network analysis with wide-ranging applications across domains. While deep learning has advanced node influence detection, existing supervised approaches remain…

社会与信息网络 · 计算机科学 2025-09-04 Yanmei Hu , Yihang Wu , Bing Sun , Xue Yue , Biao Cai , Xiangtao Li , Yang Chen