arXiv Machine Learning

Community detection in complex networks via node similarity, graph representation learning, and hierarchical clustering

The paper introduces three hierarchical frameworks for community detection in complex networks, integrating linkage-based clustering, vertex proximity matrices, and graph representation learning. It evaluates 364 module combinations on synthetic and real datasets, finding that pipelines using Wasserman‑Faust, PPMI proximity, and DNGR representations match the performance of Leiden and Louvain while producing nested partitions. The approach excels on graphs with many small communities but is limited by its time complexity to networks of roughly 10,000 vertices on personal machines.

arXiv Machine Learning
Oct 3

Degree-Corrected Joint Matrix Factorization for Multilayer Community Detection

The paper introduces a degree‑corrected joint matrix factorization technique for detecting communities in multilayer networks. It uses a nonnegative symmetric matrix trifactorization that enforces disjoint, shared communities across layers while allowing each layer to have distinct connectivity patterns and node degrees. An efficient algorithm is presented and evaluated on a multilayer degree‑corrected stochastic block model, showing superior performance compared to existing methods.

By Alexandra Dache, Manon Rustin, Arnaud Vandaele, Nicolas Gillis
arXiv Machine Learning
Aug 5

Learning and Clustering on Temporal Graphs: Principles, Primitives, and Pooling

arXiv:2608. 03696v1 Announce Type: new Abstract: This work focuses on the problem of learning on temporal graphs, with particular emphasis on the task of clustering: obtaining coarse-grained representations by aggregating information from nodes, edges, and temporal dynamics - a task related to pooling in machine learning on graphs, or community detection in network science.

By Nelson Aloysio Reis de Almeida Passos, Emanuele Carlini, Salvatore Trani
arXiv Machine Learning
Sep 11

SynCo: Synthetic Community-Aware Attributed Graph Generator for Graph Neural Network Benchmarking

SynCo is a synthetic graph generator that lets users control node degree distributions and sub‑community structures, addressing limitations of existing generators that rely on power‑law distributions and lack flexibility. It is evaluated on graph mimicking, hyperparameter tuning, and node clustering, outperforming state‑of‑the‑art methods while preserving original data distributions. SynCo can generate large graphs with up to 2.1 million nodes.

By Guilherme Henrique Messias, Mariana Caravanti de Souza, Sylvia Iasulaitis, Alan Dem\'etrius Baria Valejo
arXiv AI
Aug 10

Cluster Attention for Graph Machine Learning

arXiv:2604. 07492v2 Announce Type: replace-cross Abstract: Message Passing Neural Networks have recently become the most popular approach to graph machine learning tasks; however, their receptive field is limited by the number of message passing layers.

By Oleg Platonov, Liudmila Prokhorenkova
arXiv Machine Learning
Aug 19

Community Concealment from Graph Neural Networks

The paper introduces FCom‑DICE, a feature‑aware perturbation method that rewires influential edges and adjusts node features to hide a target community from graph neural network (GNN) inference. It shows that concealment effectiveness depends on boundary connectivity and feature similarity, and that FCom‑DICE outperforms structure‑only DICE on synthetic and real networks such as Facebook, Wikipedia, and Bitcoin Transactions while preserving key structural and feature properties.

By Dalyapraz Manatova, Pablo Moriano, L. Jean Camp
arXiv Machine Learning
Sep 10

Not Just Oversmoothing: Detecting the Echo Chamber Effect in Graph Neural Networks

The paper introduces the Echo Chamber Effect, a failure mode in Graph Neural Networks where intra-community representations collapse while inter-community separation remains, differing from traditional oversmoothing. It proposes the Echo Chamber Index (ECI) to detect this effect by stratifying pairwise distances by community membership. Building on this analysis, the authors present Community-Aware Split Propagation (CASP), a lightweight plugin that decouples intra- and inter-community aggregation and learns their balance from label structure, improving performance across various GNN backbones in both homophilic and heterophilic settings.

By Asela Hevapathige, Ahad N. Zehmakan, Asiri Wijesinghe, Saman Halgamuge