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Data clustering, the task of grouping observations according to their similarity, is a key component of unsupervised learning -- with real world applications in diverse fields such as biology, medicine, and social science. Often in these…

机器学习 · 计算机科学 2023-09-20 Anne Sophie Riis Damstrup , Sofie Tosti Madsen , Michele Coscia

Generalized category discovery (GCD) is a recently proposed open-world task. Given a set of images consisting of labeled and unlabeled instances, the goal of GCD is to automatically cluster the unlabeled samples using information…

计算机视觉与模式识别 · 计算机科学 2023-10-31 Xiangli Yang , Xinglin Pan , Irwin King , Zenglin Xu

We introduce a graph-theoretic approach to extract clusters and hierarchies in complex data-sets in an unsupervised and deterministic manner, without the use of any prior information. This is achieved by building topologically embedded…

数据分析、统计与概率 · 物理学 2014-02-13 Won-Min Song , T. Di Matteo , Tomaso Aste

The stochastic block model is a canonical random graph model for clustering and community detection on network-structured data. Decades of extensive study on the problem have established many profound results, among which the phase…

机器学习 · 统计学 2024-02-29 Junda Sheng , Thomas Strohmer

The use of a finite mixture of normal distributions in model-based clustering allows to capture non-Gaussian data clusters. However, identifying the clusters from the normal components is challenging and in general either achieved by…

统计方法学 · 统计学 2016-06-21 Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter , Bettina Grün

We propose a general modeling and inference framework that composes probabilistic graphical models with deep learning methods and combines their respective strengths. Our model family augments graphical structure in latent variables with…

Local clustering aims to identify specific substructures within a large graph without any additional structural information of the graph. These substructures are typically small compared to the overall graph, enabling the problem to be…

机器学习 · 计算机科学 2025-10-31 Zhaiming Shen , Sung Ha Kang

Convolutional neural networks (CNNs) provide flexible function approximations for a wide variety of applications when the input variables are in the form of images or spatial data. Although CNNs often outperform traditional statistical…

统计方法学 · 统计学 2024-05-24 Yeseul Jeon , Won Chang , Seonghyun Jeong , Sanghoon Han , Jaewoo Park

The well-known graph-based clustering methods, including spectral clustering, symmetric non-negative matrix factorization, and doubly stochastic normalization, can be viewed as relaxations of the kernel $k$-means approach. However, we posit…

机器学习 · 计算机科学 2025-09-24 Wenlong Lyu , Yuheng Jia , Hui Liu , Junhui Hou

The task of determining labels of all network nodes based on the knowledge about network structure and labels of some training subset of nodes is called the within-network classification. It may happen that none of the labels of the nodes…

A main task in data analysis is to organize data points into coherent groups or clusters. The stochastic block model is a probabilistic model for the cluster structure. This model prescribes different probabilities for the presence of edges…

机器学习 · 计算机科学 2020-09-24 Alexander Jung

We describe our framework, deployed at Facebook, that accounts for interference between experimental units through cluster-randomized experiments. We document this system, including the design and estimation procedures, and detail insights…

社会与信息网络 · 计算机科学 2020-12-17 Brian Karrer , Liang Shi , Monica Bhole , Matt Goldman , Tyrone Palmer , Charlie Gelman , Mikael Konutgan , Feng Sun

ProfileGLMM is an R package integrating Generalised Linear Mixed Models (GLMMs) as the outcome model for Bayesian profile regression. This statistical framework simultaneously i) explains the variation in the outcome and ii) clusters the…

统计方法学 · 统计学 2026-04-23 Matteo Amestoy , Mark A. van de Wiel , Wessel N. van Wieringen

We propose a self-supervised Gaussian ATtention network for image Clustering (GATCluster). Rather than extracting intermediate features first and then performing the traditional clustering algorithm, GATCluster directly outputs semantic…

计算机视觉与模式识别 · 计算机科学 2020-06-09 Chuang Niu , Jun Zhang , Ge Wang , Jimin Liang

We introduce efficient Markov chain Monte Carlo methods for inference and model determination in multivariate and matrix-variate Gaussian graphical models. Our framework is based on the G-Wishart prior for the precision matrix associated…

统计方法学 · 统计学 2010-05-25 Adrian Dobra , Alex Lenkoski , Abel Rodriguez

We apply the network Lasso to solve binary classification and clustering problems for network-structured data. To this end, we generalize ordinary logistic regression to non-Euclidean data with an intrinsic network structure. The resulting…

机器学习 · 计算机科学 2018-08-15 Henrik Ambos , Nguyen Tran , Alexander Jung

Research on Graph Structure Learning (GSL) provides key insights for graph-based clustering, yet current methods like Graph Neural Networks (GNNs), Graph Attention Networks (GATs), and contrastive learning often rely heavily on the original…

机器学习 · 计算机科学 2025-05-21 Jingyun Zhang , Hao Peng , Li Sun , Guanlin Wu , Chunyang Liu , Zhengtao Yu

Unnormalized (or energy-based) models provide a flexible framework for capturing the characteristics of data with complex dependency structures. However, the application of standard Bayesian inference methods has been severely limited…

统计方法学 · 统计学 2026-03-11 Naruki Sonobe , Shonosuke Sugasawa , Daichi Mochihashi , Takeru Matsuda

Classical inference methods notoriously fail when applied to data-driven test hypotheses or inference targets. Instead, dedicated methodologies are required to obtain statistical guarantees for these selective inference problems. Selective…

统计方法学 · 统计学 2025-11-11 François Bachoc , Cathy Maugis-Rabusseau , Pierre Neuvial

We propose a novel $\ell_1+\ell_2$-penalty, which we refer to as the Generalized Elastic Net, for regression problems where the feature vectors are indexed by vertices of a given graph and the true signal is believed to be smooth or…

统计方法学 · 统计学 2025-10-07 Huy Tran , Sansen Wei , Claire Donnat