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Graphs are ubiquitous real-world data structures, and generative models that approximate distributions over graphs and derive new samples from them have significant importance. Among the known challenges in graph generation tasks,…

Machine Learning · Computer Science 2019-10-04 Wataru Kawai , Yusuke Mukuta , Tatsuya Harada

Generative moment matching network (GMMN) is a deep generative model that differs from Generative Adversarial Network (GAN) by replacing the discriminator in GAN with a two-sample test based on kernel maximum mean discrepancy (MMD).…

Machine Learning · Computer Science 2017-11-28 Chun-Liang Li , Wei-Cheng Chang , Yu Cheng , Yiming Yang , Barnabás Póczos

We introduce GSimCNN (Graph Similarity Computation via Convolutional Neural Networks) for predicting the similarity score between two graphs. As the core operation of graph similarity search, pairwise graph similarity computation is a…

Machine Learning · Computer Science 2018-11-15 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

Generating realistic graph-structured data is challenging due to discrete connectivity, varying graph sizes, and class-specific structural patterns. Recent Generative Adversarial Networks (GAN)-based graph generation methods improve edge…

Machine Learning · Computer Science 2026-05-29 James Sargant , Seyedeh Ava Razi Razavi , Renata Dividino , Sheridan Houghten

While a multitude of studies have been conducted on graph drawing, many existing methods only focus on optimizing a single aesthetic aspect of graph layouts, which can lead to sub-optimal results. There are a few existing methods that have…

Machine Learning · Computer Science 2023-08-15 Xiaoqi Wang , Kevin Yen , Yifan Hu , Han-Wei Shen

Recently there has been increased interest in fitting generative graph models to real-world networks. In particular, Bl\"asius et al. have proposed a framework for systematic evaluation of the expressivity of random graph models. We extend…

Social and Information Networks · Computer Science 2024-05-14 Benjamin Dayan , Marc Kaufmann , Ulysse Schaller

In this work, we introduce a novel evaluation framework for generative models of graphs, emphasizing the importance of model-generated graph overlap (Chanpuriya et al., 2021) to ensure both accuracy and edge-diversity. We delineate a…

Machine Learning · Computer Science 2023-12-07 Sudhanshu Chanpuriya , Cameron Musco , Konstantinos Sotiropoulos , Charalampos Tsourakakis

With the increasing use of graph-structured data, there is also increasing interest in investigating graph data dependencies and their applications, e.g., in graph data profiling. Graph Generating Dependencies (GGDs) are a class of…

Databases · Computer Science 2025-02-04 Larissa C. Shimomura , Nikolay Yakovets , George Fletcher

Graph Edit Distance (GED) is defined as the minimum cost transformation of one graph into another and is a widely adopted metric for measuring the dissimilarity between graphs. The major problem of GED is that its computation is NP-hard,…

Machine Learning · Computer Science 2026-02-24 Francesco Leonardi , Markus Orsi , Jean-Louis Reymond , Kaspar Riesen

Graph edit distance / similarity is widely used in many tasks, such as graph similarity search, binary function analysis, and graph clustering. However, computing the exact graph edit distance (GED) or maximum common subgraph (MCS) between…

Databases · Computer Science 2020-07-01 Haibo Xiu , Xiao Yan , Xiaoqiang Wang , James Cheng , Lei Cao

As the field of Graph Neural Networks (GNN) continues to grow, it experiences a corresponding increase in the need for large, real-world datasets to train and test new GNN models on challenging, realistic problems. Unfortunately, such graph…

Machine Learning · Computer Science 2023-06-12 Minji Yoon , Yue Wu , John Palowitch , Bryan Perozzi , Ruslan Salakhutdinov

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

Probabilistic dependency graphs (PDGs) are a flexible class of probabilistic graphical models, subsuming Bayesian Networks and Factor Graphs. They can also capture inconsistent beliefs, and provide a way of measuring the degree of this…

Data Structures and Algorithms · Computer Science 2023-11-10 Oliver E. Richardson , Joseph Y. Halpern , Christopher De Sa

Implicit Generative Models (IGMs) such as GANs have emerged as effective data-driven models for generating samples, particularly images. In this paper, we formulate the problem of learning an IGM as minimizing the expected distance between…

Machine Learning · Computer Science 2020-06-18 Abdul Fatir Ansari , Jonathan Scarlett , Harold Soh

Assessing the accuracy of the output of causal discovery algorithms is crucial in developing and comparing novel methods. Common evaluation metrics such as the structural Hamming distance are useful for assessing individual links of causal…

Methodology · Statistics 2025-04-07 Jonas Wahl , Jakob Runge

Graph-based anomaly detection is currently an important research topic in the field of graph neural networks (GNNs). We find that in graph anomaly detection, the homophily distribution differences between different classes are significantly…

Machine Learning · Computer Science 2024-03-18 Rui Zhang , Dawei Cheng , Xin Liu , Jie Yang , Yi Ouyang , Xian Wu , Yefeng Zheng

When the training dataset comprises a 1:1 proportion of dogs to cats, a generative model that produces 1:1 dogs and cats better resembles the training species distribution than another model with 3:1 dogs and cats. Can we capture this…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Dongkyun Kim , Mingi Kwon , Youngjung Uh

Recently there has been increasing interest in developing and deploying deep graph learning algorithms for many tasks, such as fraud detection and recommender systems. Albeit, there is a limited number of publicly available graph-structured…

Machine Learning · Computer Science 2023-10-06 Sajad Darabi , Piotr Bigaj , Dawid Majchrowski , Artur Kasymov , Pawel Morkisz , Alex Fit-Florea

Graph Anomaly Detection (GAD) is a critical task in graph machine learning with vital applications in financial fraud detection and social platform governance. However, existing GAD benchmarks are often restricted to small-scale, curated…

Machine Learning · Computer Science 2026-05-11 Jingjing Zhou , Shiyu Huang , Qing Qing , Zuquan Yuan , Huafei Huang , Ziqi Xu , Mingliang Hou , Xikun Zhang , Renqiang Luo , Ivan Lee

Graphs are versatile tools for representing structured data. As a result, a variety of machine learning methods have been studied for graph data analysis. Although many such learning methods depend on the measurement of differences between…

Machine Learning · Statistics 2021-06-18 Tomoki Yoshida , Ichiro Takeuchi , Masayuki Karasuyama