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Graph representation is a powerful abstraction of real-world objects and relations. Computing the Graph Edit Distance (GED) between graphs is critical in domains such as bioinformatics, machine learning, and pattern recognition. GED…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Adel Dabah , Andreas Herten

Controllable molecular graph generation is essential for material and drug discovery, where generated molecules must satisfy diverse property constraints. While recent advances in graph diffusion models have improved generation quality,…

Machine Learning · Computer Science 2025-09-30 Anjie Qiao , Zhen Wang , Chuan Chen , DeFu Lian , Enhong Chen

Measuring the generalization capacity of Deep Generative Models (DGMs) is difficult because of the curse of dimensionality. Evaluation metrics for DGMs such as Inception Score, Fr\'echet Inception Distance, Precision-Recall, and Neural Net…

Machine Learning · Computer Science 2021-05-25 Hoang Thanh-Tung , Truyen Tran

Scene Graph Generation (SGG) aims to explore the relationships between objects in images and obtain scene summary graphs, thereby better serving downstream tasks. However, the long-tailed problem has adversely affected the scene graph's…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Yansheng Li , Tingzhu Wang , Kang Wu , Linlin Wang , Xin Guo , Wenbin Wang

Graph Neural Networks (GNNs) have emerged as the leading paradigm for solving graph analytical problems in various real-world applications. Nevertheless, GNNs could potentially render biased predictions towards certain demographic…

Machine Learning · Computer Science 2022-11-29 Yushun Dong , Song Wang , Jing Ma , Ninghao Liu , Jundong Li

We present a novel metric for generative modeling evaluation, focusing primarily on generative networks. The method uses dendrograms to represent real and fake data, allowing for the divergence between training and generated samples to be…

Machine Learning · Computer Science 2023-11-29 Gustavo Sutter Carvalho , Moacir Antonelli Ponti

Graph classification benchmarks, vital for assessing and developing graph neural networks (GNNs), have recently been scrutinized, as simple methods like MLPs have demonstrated comparable performance. This leads to an important question: Do…

Machine Learning · Computer Science 2024-08-14 Zhengdao Li , Yong Cao , Kefan Shuai , Yiming Miao , Kai Hwang

Anomaly detection in high-dimensional time series data is pivotal for numerous industrial applications. Recent advances in multivariate time series anomaly detection (TSAD) have increasingly leveraged graph structures to model…

Machine Learning · Computer Science 2025-09-23 Jiazhen Chen , Mingbin Feng , Tony S. Wirjanto

Graph Neural Networks (GNNs) have become a building block in graph data processing, with wide applications in critical domains. The growing needs to deploy GNNs in high-stakes applications necessitate explainability for users in the…

The ability to compute similarity scores between graphs based on metrics such as Graph Edit Distance (GED) is important in many real-world applications. Computing exact GED values is typically an NP-hard problem and traditional algorithms…

Machine Learning · Computer Science 2022-08-18 Haoyan Xu , Runjian Chen , Yueyang Wang , Ziheng Duan , Jie Feng

The choice of good distances and similarity measures between objects is important for many machine learning methods. Therefore, many metric learning algorithms have been developed in recent years, mainly for Euclidean data in order to…

Machine Learning · Computer Science 2022-12-23 Yacouba Kaloga , Pierre Borgnat , Amaury Habrard

Let $G=(V,E)$ be a connected graph. A vertex $w\in V$ distinguishes two elements (vertices or edges) $x,y\in E\cup V$ if $d_G(w,x)\ne d_G(w,y)$. A set $S$ of vertices in a connected graph $G$ is a mixed metric generator for $G$ if every two…

Combinatorics · Mathematics 2016-11-28 Aleksander Kelenc , Dorota Kuziak , Andrej Taranenko , Ismael G. Yero

Generative methods now produce outputs nearly indistinguishable from real data but often fail to fully capture the data distribution. Unlike quality issues, diversity limitations in generative models are hard to detect visually, requiring…

Computer Vision and Pattern Recognition · Computer Science 2024-12-13 Mischa Dombrowski , Weitong Zhang , Sarah Cechnicka , Hadrien Reynaud , Bernhard Kainz

Graph similarity search is among the most important graph-based applications, e.g. finding the chemical compounds that are most similar to a query compound. Graph similarity computation, such as Graph Edit Distance (GED) and Maximum Common…

Machine Learning · Computer Science 2020-03-03 Yunsheng Bai , Hao Ding , Song Bian , Ting Chen , Yizhou Sun , Wei Wang

We introduce a new approach to constructing networks with realistic features. Our method, in spite of its conceptual simplicity (it has only two parameters) is capable of generating a wide variety of network types with prescribed…

Data Analysis, Statistics and Probability · Physics 2010-04-30 G. Palla , L. Lovasz , T. Vicsek

We introduce Probabilistic Dependency Graphs (PDGs), a new class of directed graphical models. PDGs can capture inconsistent beliefs in a natural way and are more modular than Bayesian Networks (BNs), in that they make it easier to…

Artificial Intelligence · Computer Science 2020-12-22 Oliver Richardson , Joseph Y Halpern

In this paper, we propose the first framework that enables solving graph learning tasks of all levels (node, edge and graph) and all types (generation, regression and classification) using one formulation. We first formulate prediction…

Machine Learning · Computer Science 2024-11-01 Cai Zhou , Xiyuan Wang , Muhan Zhang

Generating novel molecules with optimal properties is a crucial step in many industries such as drug discovery. Recently, deep generative models have shown a promising way of performing de-novo molecular design. Although graph generative…

Machine Learning · Computer Science 2018-11-27 Rim Assouel , Mohamed Ahmed , Marwin H Segler , Amir Saffari , Yoshua Bengio

We propose Graph Generating Dependencies (GGDs), a new class of dependencies for property graphs. Extending the expressivity of state of the art constraint languages, GGDs can express both tuple- and equality-generating dependencies on…

Databases · Computer Science 2020-06-16 Larissa C. Shimomura , George Fletcher , Nikolay Yakovets

The Maximum Mean Discrepancy (MMD) is a cornerstone statistic for nonparametric two-sample testing, but its test power is dictated entirely by the chosen kernel. Because any fixed kernel inherently fails to distinguish certain…

Machine Learning · Statistics 2026-05-11 Yijin Ni , Xiaoming Huo
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