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Graph Neural Networks (GNNs) have become a prominent approach to machine learning with graphs and have been increasingly applied in a multitude of domains. Nevertheless, since most existing GNN models are based on flat message-passing…

Machine Learning · Computer Science 2022-10-27 Zhiqiang Zhong , Cheng-Te Li , Jun Pang

Causal discovery is the subfield of causal inference concerned with estimating the structure of cause-and-effect relationships in a system of interrelated variables, as opposed to quantifying the strength or describing the form of causal…

Methodology · Statistics 2026-03-26 Rebecca F. Supple , Hannah Worthington , Ben Swallow

Causal discovery from time-series data aims to capture both intra-slice (contemporaneous) and inter-slice (time-lagged) causality between variables within the temporal chain, which is crucial for various scientific disciplines. Compared to…

Machine Learning · Computer Science 2026-01-26 Rujia Shen , Boran Wang , Chao Zhao , Yi Guan , Jingchi Jiang

Source detection (SD) is the task of finding the origin of a spreading process in a network. Algorithms for SD help us combat diseases, misinformation, pollution, and more, and have been studied by physicians, physicists, sociologists, and…

Data Structures and Algorithms · Computer Science 2025-08-14 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

We consider the problem of learning causal networks with interventions, when each intervention is limited in size under Pearl's Structural Equation Model with independent errors (SEM-IE). The objective is to minimize the number of…

Artificial Intelligence · Computer Science 2015-11-03 Karthikeyan Shanmugam , Murat Kocaoglu , Alexandros G. Dimakis , Sriram Vishwanath

Causal discovery, the task of automatically constructing a causal model from data, is of major significance across the sciences. Evaluating the performance of causal discovery algorithms should ideally involve comparing the inferred models…

Artificial Intelligence · Computer Science 2021-08-26 Maxime Peyrard , Robert West

In deep neural networks, better results can often be obtained by increasing the complexity of previously developed basic models. However, it is unclear whether there is a way to boost performance by decreasing the complexity of such models.…

Machine Learning · Computer Science 2022-06-07 Junran Wu , Shangzhe Li , Jianhao Li , Yicheng Pan , Ke Xu

The ability to understand and reason about cause and effect -- encompassing interventions, counterfactuals, and underlying mechanisms -- is a cornerstone of robust artificial intelligence. While deep learning excels at pattern recognition,…

Machine Learning · Computer Science 2026-03-16 Ming Lei , Shufan Wu , Christophe Baehr

Causal graph recovery is traditionally done using statistical estimation-based methods or based on individual's knowledge about variables of interests. They often suffer from data collection biases and limitations of individuals' knowledge.…

Computation and Language · Computer Science 2024-06-19 Yuzhe Zhang , Yipeng Zhang , Yidong Gan , Lina Yao , Chen Wang

Causal discovery aims to uncover causal structure among a set of variables. Score-based approaches mainly focus on searching for the best Directed Acyclic Graph (DAG) based on a predefined score function. However, most of them are not…

Machine Learning · Computer Science 2023-03-13 Wenqian Li , Yinchuan Li , Shengyu Zhu , Yunfeng Shao , Jianye Hao , Yan Pang

Hypergraphs provide a powerful framework for modeling complex systems and networks with higher-order interactions beyond simple pairwise relationships. However, graph-based clustering approaches, which focus primarily on pairwise relations,…

Social and Information Networks · Computer Science 2025-07-16 Giuseppe F. Italiano , Athanasios L. Konstantinidis , Anna Mpanti , Fariba Ranjbar

Graph Neural Networks (GNNs) demonstrate their significance by effectively modeling complex interrelationships within graph-structured data. To enhance the credibility and robustness of GNNs, it becomes exceptionally crucial to bolster…

Machine Learning · Computer Science 2023-12-18 Hang Gao , Chengyu Yao , Jiangmeng Li , Lingyu Si , Yifan Jin , Fengge Wu , Changwen Zheng , Huaping Liu

We explore the hyperparameters and introduce a methodological framework to convert disease patterns from time series data of blood test results into correlation graphs for causal hypothesis exploration. The networks represent hypotheses…

Other Quantitative Biology · Quantitative Biology 2025-12-29 David Patrick Duys Montealegre , Alexander Fulton , Mahta Haghighat Ghahfarokhi , Abicumaran Uthamacumaran , Hector Zenil

Finding the dense regions of a graph and relations among them is a fundamental problem in network analysis. Core and truss decompositions reveal dense subgraphs with hierarchical relations. The incremental nature of algorithms for computing…

Social and Information Networks · Computer Science 2018-09-17 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar

In the analysis of large-scale network data, a fundamental operation is the comparison of observed phenomena to the predictions provided by null models: when we find an interesting structure in a family of real networks, it is important to…

Social and Information Networks · Computer Science 2021-02-26 Katherine Van Koevering , Austin R. Benson , Jon Kleinberg

This paper studies causal discovery in irregularly sampled time series-a key challenge in risk-sensitive domains like finance, healthcare, and climate science, where missing data and inconsistent sampling frequencies distort causal…

Machine Learning · Computer Science 2026-05-12 Weihong Li , Baohong Li , Anpeng Wu , Zhihan Li , Ming Ma , Keting Yin , Kun Kuang

Key graph-based problems play a central role in understanding network topology and uncovering patterns of similarity in homogeneous and temporal data. Such patterns can be revealed by analyzing communities formed by nodes, which in turn can…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-02 Davide Rucci , Emanuele Carlini , Patrizio Dazzi , Hanna Kavalionak , Matteo Mordacchini

Causal structure discovery from observational data is fundamental to the causal understanding of autonomous systems such as medical decision support systems, advertising campaigns and self-driving cars. This is essential to solve well-known…

This paper introduces a generalization of Convolutional Neural Networks (CNNs) to graphs with irregular linkage structures, especially heterogeneous graphs with typed nodes and schemas. We propose a novel spatial convolution operation to…

Machine Learning · Computer Science 2019-07-23 Aravind Sankar , Xinyang Zhang , Kevin Chen-Chuan Chang

This paper studies causal inference with observational data from a single large network. We consider a nonparametric model with interference in both potential outcomes and selection into treatment. Specifically, both stages may be the…

Econometrics · Economics 2025-12-30 Michael P. Leung , Pantelis Loupos