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This article proposes a novel causal discovery and inference method called GrIVET for a Gaussian directed acyclic graph with unmeasured confounders. GrIVET consists of an order-based causal discovery method and a likelihood-based…

Methodology · Statistics 2023-09-22 Li Chen , Chunlin Li , Xiaotong Shen , Wei Pan

Graphs are used widely to model complex systems, and detecting anomalies in a graph is an important task in the analysis of complex systems. Graph anomalies are patterns in a graph that do not conform to normal patterns expected of the…

Machine Learning · Computer Science 2022-10-05 Hwan Kim , Byung Suk Lee , Won-Yong Shin , Sungsu Lim

Graph Neural Networks (GNNs) have emerged as potent tools for predicting outcomes in graph-structured data. Despite their efficacy, a significant drawback of GNNs lies in their limited ability to provide robust uncertainty estimates, posing…

Machine Learning · Computer Science 2025-03-26 S. Akansha

Graph Neural Networks (GNNs) have gained prominence for their ability to process graph-structured data across various domains. However, interpreting GNN decisions remains a significant challenge, leading to the adoption of saliency maps for…

Machine Learning · Statistics 2025-09-04 Shuichi Nishino , Tomohiro Shiraishi , Teruyuki Katsuoka , Ichiro Takeuchi

Human brains lie at the core of complex neurobiological systems, where the neurons, circuits, and subsystems interact in enigmatic ways. Understanding the structural and functional mechanisms of the brain has long been an intriguing pursuit…

Neurons and Cognition · Quantitative Biology 2022-07-26 Hejie Cui , Wei Dai , Yanqiao Zhu , Xiaoxiao Li , Lifang He , Carl Yang

Graph Neural Networks (GNNs) have become the de facto standard for analyzing graph-structured data, leveraging message-passing techniques to capture both structural and node feature information. However, recent studies have raised concerns…

Machine Learning · Computer Science 2024-10-22 Yujia Wu , Bo Yang , Yang Zhao , Elynn Chen , Yuzhou Chen , Zheshi Zheng

When a dynamical system can be modeled as a sequence of observations, Granger causality is a powerful approach for detecting predictive interactions between its variables. However, traditional Granger causal inference has limited utility in…

Machine Learning · Computer Science 2022-10-20 Rohit Singh , Alexander P. Wu , Bonnie Berger

In the fundamental statistics course, students are taught to remember the well-known saying: "Correlation is not Causation". Till now, statistics (i.e., correlation) have developed various successful frameworks, such as Transformer and…

Artificial Intelligence · Computer Science 2023-11-22 Ning Xu , Yifei Gao , Hongshuo Tian , Yongdong Zhang , An-An Liu

Graph Neural Networks (GNNs) are gaining extensive attention for their application in graph data. However, the black-box nature of GNNs prevents users from understanding and trusting the models, thus hampering their applicability. Whereas…

Machine Learning · Computer Science 2023-05-23 Qizhang Feng , Ninghao Liu , Fan Yang , Ruixiang Tang , Mengnan Du , Xia Hu

Causal inference is a critical task across fields such as healthcare, economics, and the social sciences. While recent advances in machine learning, especially those based on the deep-learning architectures, have shown potential in…

Machine Learning · Statistics 2024-12-30 Manqing Liu , David R. Bellamy , Andrew L. Beam

Causal identification is at the core of the causal inference literature, where complete algorithms have been proposed to identify causal queries of interest. The validity of these algorithms hinges on the restrictive assumption of having…

Machine Learning · Computer Science 2023-10-30 Sina Akbari , Fateme Jamshidi , Ehsan Mokhtarian , Matthew J. Vowels , Jalal Etesami , Negar Kiyavash

Many scientific and engineering processes produce spatially unstructured data. However, most data-driven models require a feature matrix that enforces both a set number and order of features for each sample. They thus cannot be easily…

Machine Learning · Computer Science 2021-09-30 Francis Ogoke , Kazem Meidani , Amirreza Hashemi , Amir Barati Farimani

Graph Neural Networks (GNNs) are a predominant method for graph representation learning. However, beyond subgraph frequency estimation, their application to network motif significance-profile (SP) prediction remains under-explored, with no…

Machine Learning · Computer Science 2025-07-11 Pedro C. Vieira , Miguel E. P. Silva , Pedro Manuel Pinto Ribeiro

This work develops a distributed graph neural network (GNN) methodology for mesh-based modeling applications using a consistent neural message passing layer. As the name implies, the focus is on enabling scalable operations that satisfy…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-03 Shivam Barwey , Riccardo Balin , Bethany Lusch , Saumil Patel , Ramesh Balakrishnan , Pinaki Pal , Romit Maulik , Venkatram Vishwanath

Graph convolutional neural networks (GCNN) have numerous applications in different graph based learning tasks. Although the techniques obtain impressive results, they often fall short in accounting for the uncertainty associated with the…

Machine Learning · Computer Science 2019-11-13 Soumyasundar Pal , Florence Regol , Mark Coates

The problem of explaining the results produced by machine learning methods continues to attract attention. Neural network (NN) models, along with gradient boosting machines, are expected to be utilized even in tabular data with high…

Machine Learning · Computer Science 2025-12-29 Takashi Isozaki , Masahiro Yamamoto , Atsushi Noda

Graph neural networks (GNNs) have proven their efficacy in a variety of real-world applications, but their underlying mechanisms remain a mystery. To address this challenge and enable reliable decision-making, many GNN explainers have been…

Machine Learning · Computer Science 2023-10-12 Yiqiao Li , Jianlong Zhou , Yifei Dong , Niusha Shafiabady , Fang Chen

Graph Neural Networks (GNNs) have achieved tremendous success in graph representation learning. Unfortunately, current GNNs usually rely on loading the entire attributed graph into network for processing. This implicit assumption may not be…

Machine Learning · Computer Science 2022-02-15 Junfu Wang , Yunhong Wang , Zhen Yang , Liang Yang , Yuanfang Guo

The problem of estimating high-dimensional network models arises naturally in the analysis of many physical, biological and socio-economic systems. Examples include stock price fluctuations in financial markets and gene regulatory networks…

Methodology · Statistics 2013-10-09 Sumanta Basu , Ali Shojaie , George Michailidis

This paper presents a novel approach to credit risk prediction by employing Graph Convolutional Neural Networks (GCNNs) to assess the creditworthiness of borrowers. Leveraging the power of big data and artificial intelligence, the proposed…

Machine Learning · Computer Science 2024-10-08 Mengfang Sun , Wenying Sun , Ying Sun , Shaobo Liu , Mohan Jiang , Zhen Xu