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A variety of statistical graphical models have been defined to represent the conditional independences underlying a random vector of interest. Similarly, many different graphs embedding various types of preferential independences, as for…

Artificial Intelligence · Computer Science 2016-10-26 Manuele Leonelli , Jim Q. Smith

A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models admit…

Methodology · Statistics 2016-06-09 Mathias Drton , Marloes H. Maathuis

Graph neural networks (GNNs) are effective machine learning models for many graph-related applications. Despite their empirical success, many research efforts focus on the theoretical limitations of GNNs, i.e., the GNNs expressive power.…

Machine Learning · Computer Science 2025-01-13 Bingxu Zhang , Changjun Fan , Shixuan Liu , Kuihua Huang , Xiang Zhao , Jincai Huang , Zhong Liu

Real data collected from different applications that have additional topological structures and connection information are amenable to be represented as a weighted graph. Considering the node labeling problem, Graph Neural Networks (GNNs)…

Social and Information Networks · Computer Science 2020-02-06 Xiaoxiao Li , Joao Saude

We introduce graph pattern-based association rules (GPARs) for directed labeled multigraphs such as RDF graphs. GPARs support both generative tasks, where a graph is extended, and evaluative tasks, where the plausibility of a graph is…

Databases · Computer Science 2025-12-18 Basil Ell

Graph generation is a critical task in numerous domains, including molecular design and social network analysis, due to its ability to model complex relationships and structured data. While most modern graph generative models utilize…

Machine Learning · Computer Science 2025-06-04 Xiaohui Chen , Yinkai Wang , Jiaxing He , Yuanqi Du , Soha Hassoun , Xiaolin Xu , Li-Ping Liu

Syntactic Transformer language models aim to achieve better generalization through simultaneously modeling syntax trees and sentences. While prior work has been focusing on adding constituency-based structures to Transformers, we introduce…

Computation and Language · Computer Science 2024-07-25 Yida Zhao , Chao Lou , Kewei Tu

Graph Gaussian Processes (GGPs) provide a data-efficient solution on graph structured domains. Existing approaches have focused on static structures, whereas many real graph data represent a dynamic structure, limiting the applications of…

Machine Learning · Computer Science 2021-11-04 David Blanco-Mulero , Markus Heinonen , Ville Kyrki

Graph neural networks (GNNs), which propagate the node features through the edges and learn how to transform the aggregated features under label supervision, have achieved great success in supervised feature extraction for both node-level…

Machine Learning · Statistics 2022-11-01 Yilin He , Chaojie Wang , Hao Zhang , Bo Chen , Mingyuan Zhou

One of the hot topics in machine learning is the field of GNN. The complexity of graph data has imposed significant challenges on existing machine learning algorithms. Recently, many studies on extending deep learning approaches for graph…

Machine Learning · Computer Science 2024-03-22 László Kovács , Ali Jlidi

Graph generation generally aims to create new graphs that closely align with a specific graph distribution. Existing works often implicitly capture this distribution through the optimization of generators, potentially overlooking the…

Machine Learning · Computer Science 2024-07-19 Song Wang , Zhen Tan , Xinyu Zhao , Tianlong Chen , Huan Liu , Jundong Li

Generative methods for graphs need to be sufficiently flexible to model complex dependencies between sets of nodes. At the same time, the generated graphs need to satisfy domain-dependent feasibility conditions, that is, they should not…

Machine Learning · Computer Science 2025-01-22 Stefan Mautner , Rolf Backofen , Fabrizio Costa

Graph generative models are a highly active branch of machine learning. Given the steady development of new models of ever-increasing complexity, it is necessary to provide a principled way to evaluate and compare them. In this paper, we…

Machine Learning · Computer Science 2022-03-21 Leslie O'Bray , Max Horn , Bastian Rieck , Karsten Borgwardt

Most Graph Neural Networks (GNNs) cannot distinguish some graphs or indeed some pairs of nodes within a graph. This makes it impossible to solve certain classification tasks. However, adding additional node features to these models can…

Machine Learning · Computer Science 2022-09-20 Beni Egressy , Roger Wattenhofer

Graph Convolutional Networks (GCNs) have shown strong performance in learning text representations for various tasks such as text classification, due to its expressive power in modeling graph structure data (e.g., a literature citation…

Computation and Language · Computer Science 2023-05-12 Zhibin Lu , Qianqian Xie , Benyou Wang , Jian-yun Nie

Graphs are increasingly becoming ubiquitous as models for structured data. A generative model that closely mimics the structural properties of a given set of graphs has utility in a variety of domains. Much of the existing work require that…

Social and Information Networks · Computer Science 2019-02-25 Revanth Reddy , Sarath Chandar , Balaraman Ravindran

Graphs play an important role in many applications. Recently, Graph Neural Networks (GNNs) have achieved promising results in graph analysis tasks. Some state-of-the-art GNN models have been proposed, e.g., Graph Convolutional Networks…

Machine Learning · Computer Science 2021-09-29 Yaoman Li , Irwin King

Gaussian graphical models represent the backbone of the statistical toolbox for analyzing continuous multivariate systems. However, due to the intrinsic properties of the multivariate normal distribution, use of this model family may hide…

Statistics Theory · Mathematics 2014-09-09 Henrik Nyman , Johan Pensar , Jukka Corander

Graph database users today face a choice between two technology stacks: the Resource Description Framework (RDF), on one side, is a data model with built-in semantics that was originally developed by the W3C to exchange interconnected data…

Databases · Computer Science 2023-04-27 Ewout Gelling , George Fletcher , Michael Schmidt

In recent years, numerous graph generative models (GGMs) have been proposed. However, evaluating these models remains a considerable challenge, primarily due to the difficulty in extracting meaningful graph features that accurately…

Machine Learning · Computer Science 2025-03-18 Chengen Wang , Murat Kantarcioglu