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Latent space models for network data characterize each node through a vector of latent features whose pairwise similarities define the edge probabilities among the pairs of nodes. Although this formulation has led to successful…

统计方法学 · 统计学 2026-04-06 Federico Pavone , Daniele Durante , Robin J. Ryder

We consider the two-sample testing problem for networks, where the goal is to determine whether two sets of networks originated from the same stochastic model. Assuming no vertex correspondence and allowing for different numbers of nodes,…

统计理论 · 数学 2024-06-11 Chung Kyong Nguen , Oscar Hernan Madrid Padilla , Arash A. Amini

Statistical node clustering in discrete time dynamic networks is an emerging field that raises many challenges. Here, we explore statistical properties and frequentist inference in a model that combines a stochastic block model (SBM) for…

统计方法学 · 统计学 2016-06-23 Catherine Matias , Vincent Miele

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

人工智能 · 计算机科学 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

Blockmodels are a foundational tool for modeling community structure in networks, with the stochastic blockmodel (SBM), degree-corrected blockmodel (DCBM), and popularity-adjusted blockmodel (PABM) forming a natural hierarchy of increasing…

统计方法学 · 统计学 2025-12-23 Subhankar Bhadra , Minh Tang , Srijan Sengupta

Graphical models provide a powerful methodology for learning the conditional independence structure in multivariate data. Inference is often focused on estimating individual edges in the latent graph. Nonetheless, there is increasing…

统计方法学 · 统计学 2023-12-15 Willem van den Boom , Maria De Iorio , Alexandros Beskos

In many networks, vertices have hidden attributes, or types, that are correlated with the networks topology. If the topology is known but these attributes are not, and if learning the attributes is costly, we need a method for choosing…

机器学习 · 统计学 2010-05-25 Xiaoran Yan , Yaojia Zhu , Jean-Baptiste Rouquier , Cristopher Moore

In community detection on graphs, the semi-supervised learning problem entails inferring the ground-truth membership of each node in a graph, given the connectivity structure and a limited number of revealed node labels. Different subsets…

无序系统与神经网络 · 物理学 2022-03-22 Hugo Cui , Luca Saglietti , Lenka Zdeborová

Modeling relations between individuals is a classical question in social sciences and clustering individuals according to the observed patterns of interactions allows to uncover a latent structure in the data. Stochastic block model (SBM)…

统计方法学 · 统计学 2015-01-27 Pierre Barbillon , Sophie Donnet , Emmanuel Lazega , Avner Bar-Hen

Community detection, discovering the underlying communities within a network from observed connections, is a fundamental problem in network analysis, yet it remains underexplored for signed networks. In signed networks, both edge connection…

统计方法学 · 统计学 2026-02-17 Yichao Chen , Weijing Tang , Ji Zhu

The contextual stochastic block model (cSBM) was proposed for unsupervised community detection on attributed graphs where both the graph and the high-dimensional node information correlate with node labels. In the context of machine…

社会与信息网络 · 计算机科学 2024-07-22 O. Duranthon , L. Zdeborová

Feature learning forms the cornerstone for tackling challenging learning problems in domains such as speech, computer vision and natural language processing. In this paper, we consider a novel class of matrix and tensor-valued features,…

机器学习 · 计算机科学 2015-04-21 Majid Janzamin , Hanie Sedghi , Anima Anandkumar

The structure of a bipartite interaction network can be described by providing a clustering for each of the two types of nodes. Such clusterings are outputted by fitting a Latent Block Model (LBM) on an observed network that comes from a…

统计方法学 · 统计学 2025-03-19 Emre Anakok , Pierre Barbillon , Colin Fontaine , Elisa Thebault

Network-structured data becomes ubiquitous in daily life and is growing at a rapid pace. It presents great challenges to feature engineering due to the high non-linearity and sparsity of the data. The local and global structure of the…

机器学习 · 计算机科学 2025-01-31 Xin Sun , Zenghui Song , Yongbo Yu , Junyu Dong , Claudia Plant , Christian Boehm

We provide a novel family of generative block-models for random graphs that naturally incorporates degree distributions: the block-constrained configuration model. Block-constrained configuration models build on the generalised…

物理与社会 · 物理学 2021-02-24 Giona Casiraghi

Click-Through Rate(CTR) estimation has become one of the most fundamental tasks in many real-world applications and it's important for ranking models to effectively capture complex high-order features. Shallow feed-forward network is widely…

信息检索 · 计算机科学 2021-07-27 Zhiqiang Wang , Qingyun She , Junlin Zhang

Many-to-one maps are ubiquitous in machine learning, from the image recognition model that assigns a multitude of distinct images to the concept of "cat" to the time series forecasting model which assigns a range of distinct time-series to…

机器学习 · 计算机科学 2022-02-28 Nico Courts , Henry Kvinge

The Latent Block Model (LBM) is a prominent model-based co-clustering method, returning parametric representations of each block cluster and allowing the use of well-grounded model selection methods. The LBM, while adapted in literature to…

Feature-based format is the main data representation format used by machine learning algorithms. When the features do not properly describe the initial data, performance starts to degrade. Some algorithms address this problem by internally…

人工智能 · 计算机科学 2015-12-18 Marian-Andrei Rizoiu , Julien Velcin , Stéphane Lallich

In this paper, we develop a graphical modeling framework for the inference of networks across multiple sample groups and data types. In medical studies, this setting arises whenever a set of subjects, which may be heterogeneous due to…