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Mixture model-based frameworks are very popular for statistical inference in clustering. While convenient for producing probabilistic estimates of cluster assignments and uncertainty, they are prone to misspecification, which can lead to…

统计理论 · 数学 2026-05-15 Yu Zheng , Leo L. Duan , Arkaprava Roy

Inferring dependence structure through undirected graphs is crucial for uncovering the major modes of multivariate interaction among high-dimensional genomic markers that are potentially associated with cancer. Traditionally, conditional…

统计方法学 · 统计学 2016-04-04 Anindya Bhadra , Arvind Rao , Veerabhadran Baladandayuthapani

In multivariate statistics, the question of finding direct interactions can be formulated as a problem of network inference - or network reconstruction - for which the Gaussian graphical model (GGM) provides a canonical framework.…

统计方法学 · 统计学 2018-06-11 Julien Chiquet , Mahendra Mariadassou , Stéphane Robin

Graphical model has been widely used to investigate the complex dependence structure of high-dimensional data, and it is common to assume that observed data follow a homogeneous graphical model. However, observations usually come from…

统计方法学 · 统计学 2016-01-01 Kevin Lee , Lingzhou Xue

This paper describes a new approach for learning structures of large Bayesian networks based on blocks resulting from feature space clustering. This clustering is obtained using normalized mutual information. And the subsequent aggregation…

机器学习 · 统计学 2022-08-30 Anna V. Bubnova

This paper develops bootstrap procedures for inference in linear regression models with two-way clustered data. We characterize the estimator's asymptotic behavior in five mutually exclusive and exhaustive regimes: three Gaussian and two…

统计理论 · 数学 2026-05-04 Ulrich Hounyo , Jiahao Lin

After generalizing the concept of clusters to incorporate clusters that are linked to other clusters through some relatively narrow bridges, an approach for detecting patches of separation between these clusters is developed based on an…

计算机视觉与模式识别 · 计算机科学 2020-01-10 Luciano da F. Costa

Latent variable models for network data extract a summary of the relational structure underlying an observed network. The simplest possible models subdivide nodes of the network into clusters; the probability of a link between any two nodes…

机器学习 · 计算机科学 2012-07-03 Konstantina Palla , David Knowles , Zoubin Ghahramani

The classical setting of community detection consists of networks exhibiting a clustered structure. To more accurately model real systems we consider a class of networks (i) whose edges may carry labels and (ii) which may lack a clustered…

统计理论 · 数学 2014-06-27 Jiaming Xu , Laurent Massoulié , Marc Lelarge

Relationship between agents can be conveniently represented by graphs. When these relationships have different modalities, they are better modelled by multilayer graphs where each layer is associated with one modality. Such graphs arise…

机器学习 · 统计学 2021-03-05 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

Time-series datasets are central in machine learning with applications in numerous fields of science and engineering, such as biomedicine, Earth observation, and network analysis. Extensive research exists on state-space models (SSMs),…

机器学习 · 计算机科学 2024-06-17 Emilie Chouzenoux , Victor Elvira

We consider a family of problems that are concerned about making predictions for the majority of unlabeled, graph-structured data samples based on a small proportion of labeled samples. Relational information among the data samples, often…

机器学习 · 计算机科学 2019-11-05 Jiaqi Ma , Weijing Tang , Ji Zhu , Qiaozhu Mei

Methods for inferring average causal effects have traditionally relied on two key assumptions: (i) the intervention received by one unit cannot causally influence the outcome of another; and (ii) units can be organized into non-overlapping…

统计方法学 · 统计学 2019-08-23 Eric J. Tchetgen Tchetgen , Isabel Fulcher , Ilya Shpitser

This paper studies the problem of graph-level clustering, which is a novel yet challenging task. This problem is critical in a variety of real-world applications such as protein clustering and genome analysis in bioinformatics. Recent years…

机器学习 · 计算机科学 2023-03-09 Wei Ju , Yiyang Gu , Binqi Chen , Gongbo Sun , Yifang Qin , Xingyuming Liu , Xiao Luo , Ming Zhang

Panel data allows for the modeling of unobserved heterogeneity, significantly raising the number of nuisance parameters and making high dimensionality a practical issue. Meanwhile, temporal and cross-sectional dependence in panel data…

计量经济学 · 经济学 2025-12-23 Kaicheng Chen

Community-based graph clustering is one of the most popular topics in the analysis of complex social networks. This type of clustering involves grouping vertices that are considered to share more connections, whereas vertices in different…

最优化与控制 · 数学 2025-11-25 Wenshun Teng , Qingna Li

Cluster analysis methods seek to partition a data set into homogeneous subgroups. It is useful in a wide variety of applications, including document processing and modern genetics. Conventional clustering methods are unsupervised, meaning…

统计方法学 · 统计学 2014-07-11 Eric Bair

Graph model is emerging as a very effective tool for learning the complex structures and relationships hidden in data. Generally, the critical purpose of graph-oriented learning algorithms is to construct an informative graph for image…

计算机视觉与模式识别 · 计算机科学 2016-12-21 Qingshan Liu , Yubao Sun , Cantian Wang , Tongliang Liu , Dacheng Tao

We review clustering as an analysis tool and the underlying concepts from an introductory perspective. What is clustering and how can clusterings be realised programmatically? How can data be represented and prepared for a clustering task?…

机器学习 · 计算机科学 2022-12-05 Jan-Oliver Felix Kapp-Joswig , Bettina G. Keller

Causal inference on populations embedded in social networks poses technical challenges, since the typical no interference assumption frequently does not hold. Existing methods developed in the context of network interference rely upon the…

统计方法学 · 统计学 2024-04-12 Vanessa McNealis , Erica E. M. Moodie , Nema Dean