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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…

Machine Learning · Statistics 2024-02-29 Junda Sheng , Thomas Strohmer

Graph Neural Networks (GNNs) have been widely applied in the semi-supervised node classification task, where a key point lies in how to sufficiently leverage the limited but valuable label information. Most of the classical GNNs solely use…

Machine Learning · Computer Science 2022-12-26 Le Yu , Leilei Sun , Bowen Du , Tongyu Zhu , Weifeng Lv

Graph Neural Networks have become one of the indispensable tools to learn from graph-structured data, and their usefulness has been shown in wide variety of tasks. In recent years, there have been tremendous improvements in architecture…

Machine Learning · Statistics 2021-11-15 Sunil Kumar Maurya , Xin Liu , Tsuyoshi Murata

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…

Methodology · Statistics 2016-06-23 Catherine Matias , Vincent Miele

Network science provides valuable insights across numerous disciplines including sociology, biology, neuroscience and engineering. A task of major practical importance in these application domains is inferring the network structure from…

Machine Learning · Computer Science 2019-05-01 Vassilis N. Ioannidis , Yanning Shen , Georgios B. Giannakis

The stochastic block model (SBM) is a mixture model used for the clustering of nodes in networks. It has now been employed for more than a decade to analyze very different types of networks in many scientific fields such as Biology and…

Methodology · Statistics 2014-05-12 E. Côme , P. Latouche

We propose a novel sequence prediction method for sequential data capturing node traversals in graphs. Our method builds on a statistical modelling framework that combines multiple higher-order network models into a single multi-order…

Machine Learning · Computer Science 2023-10-25 Christoph Gote , Giona Casiraghi , Frank Schweitzer , Ingo Scholtes

The vast majority of the neural network literature focuses on predicting point values for a given set of response variables, conditioned on a feature vector. In many cases we need to model the full joint conditional distribution over the…

Machine Learning · Statistics 2016-06-09 Wesley Tansey , Karl Pichotta , James G. Scott

Previous studies have demonstrated the strong performance of Graph Neural Networks (GNNs) in node classification. However, most existing GNNs adopt a node-centric perspective and rely on global message passing, leading to high computational…

Machine Learning · Computer Science 2026-01-14 Qian Zeng , Xin Lin , Jingyi Gao , Yang Yu

Graph neural networks (GNN) have been ubiquitous in graph node classification tasks. Most of GNN methods update the node embedding iteratively by aggregating its neighbors' information. However, they often suffer from negative disturbance,…

Machine Learning · Computer Science 2022-02-02 Jie Chen , Shouzhen Chen , Mingyuan Bai , Jian Pu , Junping Zhang , Junbin Gao

Finding the important nodes in complex networks by topological structure is of great significance to network invulnerability. Several centrality measures have been proposed recently to evaluate the performance of nodes based on their…

Social and Information Networks · Computer Science 2021-02-23 Pengli Lu , Chen Dong , Yuhong Guo

Graph Neural Networks (GNNs) have greatly advanced the semi-supervised node classification task on graphs. The majority of existing GNNs are trained in an end-to-end manner that can be viewed as tackling a bi-level optimization problem.…

Machine Learning · Computer Science 2023-07-20 Haoyu Han , Xiaorui Liu , Haitao Mao , MohamadAli Torkamani , Feng Shi , Victor Lee , Jiliang Tang

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…

Disordered Systems and Neural Networks · Physics 2022-03-22 Hugo Cui , Luca Saglietti , Lenka Zdeborová

Node embedding is the task of extracting informative and descriptive features over the nodes of a graph. The importance of node embeddings for graph analytics, as well as learning tasks such as node classification, link prediction and…

Machine Learning · Computer Science 2019-06-17 Dimitris Berberidis , Georgios B. Giannakis

There has been a lot of interest in developing algorithms to extract clusters or communities from networks. This work proposes a method, based on blockmodelling, for leveraging communities and other topological features for use in a…

Social and Information Networks · Computer Science 2011-10-20 Leto Peel

Due to the significant increase of communications between individuals via social media (Facebook, Twitter, Linkedin) or electronic formats (email, web, e-publication) in the past two decades, network analysis has become a unavoidable…

Methodology · Statistics 2017-01-17 Bouveyron Charles , Latouche Pierre , Zreik Rawya

The graph convolution network (GCN) is a widely-used facility to realize graph-based semi-supervised learning, which usually integrates node features and graph topologic information to build learning models. However, as for multi-label…

Machine Learning · Computer Science 2019-07-15 Kaisheng Gao , Jing Zhang , Cangqi Zhou

We propose a graph semi-supervised learning framework for classification tasks on data manifolds. Motivated by the manifold hypothesis, we model data as points sampled from a low-dimensional manifold $\mathcal{M} \subset \mathbb{R}^F$. The…

Machine Learning · Computer Science 2025-11-03 Caio F. Deberaldini Netto , Zhiyang Wang , Luana Ruiz

Nodes in real world networks often have class labels, or underlying attributes, that are related to the way in which they connect to other nodes. Sometimes this relationship is simple, for instance nodes of the same class are may be more…

Machine Learning · Computer Science 2014-03-19 Leto Peel

Graph Neural Networks (GNNs) excel at learning from pairwise interactions but often overlook multi-way and hierarchical relationships. Topological Deep Learning (TDL) addresses this limitation by leveraging combinatorial topological spaces.…