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Message passing on a factor graph is a powerful paradigm for the coding of approximate inference algorithms for arbitrarily graphical large models. The notion of a factor graph fragment allows for compartmentalization of algebra and…

Machine Learning · Statistics 2020-12-14 L. Maestrini , M. P. Wand

Biomedical networks (or graphs) are universal descriptors for systems of interacting elements, from molecular interactions and disease co-morbidity to healthcare systems and scientific knowledge. Advances in artificial intelligence,…

Machine Learning · Computer Science 2025-02-07 Michelle M. Li , Kexin Huang , Marinka Zitnik

Graphs are used in many disciplines to model the relationships that exist between objects in a complex discrete system. Researchers may wish to compare a network of interest to a "typical" graph from a family (or ensemble) of graphs which…

Combinatorics · Mathematics 2025-08-08 Catherine Greenhill

Graphs are a ubiquitous data structure to model processes and relations in a wide range of domains. Examples include control-flow graphs in programs and semantic scene graphs in images. Identifying subgraph patterns in graphs is an…

Machine Learning · Computer Science 2022-02-22 Huan Song , Zeng Dai , Panpan Xu , Liu Ren

Graph theory is increasingly commonly utilised in genetics, proteomics and neuroimaging. In such fields, the data of interest generally constitute weighted graphs. Analysis of such weighted graphs often require the integration of…

Molecular Networks · Quantitative Biology 2011-06-09 Cedric E. Ginestet , Andrew Simmons

Network data can be conveniently modeled as a graph signal, where data values are assigned to nodes of a graph that describes the underlying network topology. Successful learning from network data is built upon methods that effectively…

Machine Learning · Computer Science 2021-05-26 Fernando Gama , Elvin Isufi , Geert Leus , Alejandro Ribeiro

The short-time Fourier transform (STFT) is widely used to analyze the spectra of temporal signals that vary through time. Signals defined over graphs, due to their intrinsic complexity, exhibit large variations in their patterns. In this…

Social and Information Networks · Computer Science 2016-01-27 Mariano Tepper , Guillermo Sapiro

Graph models provide efficient tools to capture the underlying structure of data defined over networks. Many real-world network topologies are subject to change over time. Learning to model the dynamic interactions between entities in such…

Machine Learning · Computer Science 2025-01-03 Amirhossein Javaheri , Jiaxi Ying , Daniel P. Palomar , Farokh Marvasti

Graph Neural Network (GNN) is a powerful tool to perform standard machine learning on graphs. To have a Euclidean representation of every node in the Non-Euclidean graph-like data, GNN follows neighbourhood aggregation and combination of…

Machine Learning · Computer Science 2021-11-18 Sucheta Dawn , Sanghamitra Bandyopadhyay

Learning generative models for graph-structured data is challenging because graphs are discrete, combinatorial, and the underlying data distribution is invariant to the ordering of nodes. However, most of the existing generative models for…

Machine Learning · Computer Science 2020-03-03 Chenhao Niu , Yang Song , Jiaming Song , Shengjia Zhao , Aditya Grover , Stefano Ermon

We propose a generic framework to describe classical Ising-like models defined on arbitrary graphs. The energy spectrum is shown to be the Hadamard transform of a suitably defined sparse "coding" vector associated with the graph. We expect…

Statistical Mechanics · Physics 2015-01-28 Rémy Mosseri

Compact and I/O-efficient data representations play an important role in efficient algorithm design, as memory bandwidth and latency can present a significant performance bottleneck, slowing the computation by orders of magnitude. While…

Data Structures and Algorithms · Computer Science 2018-11-19 Tomáš Gavenčiak , Jakub Tětek

Transformer architectures, capable of capturing sequential dependencies in the history of user interactions, have become the dominant approach in sequential recommender systems. Despite their success, such models consider sequence elements…

Information Retrieval · Computer Science 2026-03-02 Artur Gimranov , Viacheslav Yusupov , Elfat Sabitov , Tatyana Matveeva , Anton Lysenko , Ruslan Israfilov , Evgeny Frolov

Irregularly sampling a spatially stationary random field does not yield a graph stationary signal in general. Based on this observation, we build a definition of graph stationarity based on intrinsic stationarity, a less restrictive…

Signal Processing · Electrical Eng. & Systems 2018-09-26 Alexander Serrano , Benjamin Girault , Antonio Ortega

Graph Neural Networks (GNNs) are an effective framework for representation learning of graphs. GNNs follow a neighborhood aggregation scheme, where the representation vector of a node is computed by recursively aggregating and transforming…

Machine Learning · Computer Science 2019-02-26 Keyulu Xu , Weihua Hu , Jure Leskovec , Stefanie Jegelka

Path queries are a core feature of modern graph query languages such as Cypher, SQL/PGQ, and GQL. These languages provide a rich set of features for matching paths, such as restricting to certain path modes (shortest, simple, trail) and…

Databases · Computer Science 2025-06-09 Benjamín Farías , Wim Martens , Carlos Rojas , Domagoj Vrgoč

Graph sampling is a technique to pick a subset of vertices and/ or edges from original graph. It has a wide spectrum of applications, e.g. survey hidden population in sociology [54], visualize social graph [29], scale down Internet AS graph…

Social and Information Networks · Computer Science 2013-08-28 Pili Hu , Wing Cheong Lau

Recommender system research has oftentimes focused on approaches that operate on large-scale datasets containing millions of user interactions. However, many small businesses struggle to apply state-of-the-art models due to their very…

In many network problems, graphs may change by the addition of nodes, or the same problem may need to be solved in multiple similar graphs. This generates inefficiency, as analyses and systems that are not transferable have to be…

Signal Processing · Electrical Eng. & Systems 2019-11-11 Luana Ruiz , Luiz F. O. Chamon , Alejandro Ribeiro

Autoencoders are effective deep learning models that can function as generative models and learn latent representations for downstream tasks. The use of graph autoencoders - with both encoder and decoder implemented as message passing…

Machine Learning · Computer Science 2025-03-04 Magnus Cunow , Gerrit Großmann