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Generative models trained on multi-institutional datasets can provide an enriched understanding through diverse data distributions. However, training the models on medical images is often challenging due to hospitals' reluctance to share…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Minjun Kim , Minjee Kim , Jinhoon Jeong

We study causal discovery from observational data in linear Gaussian systems affected by \emph{mixed latent confounding}, where some unobserved factors act broadly across many variables while others influence only small subsets. This…

Machine Learning · Computer Science 2026-01-01 Amir Asiaee , Samhita Pal , James O'quinn , James P. Long

Federated Learning has become a widely-used framework which allows learning a global model on decentralized local datasets under the condition of protecting local data privacy. However, federated learning faces severe optimization…

Machine Learning · Computer Science 2023-01-26 Wenkai Yang , Yankai Lin , Guangxiang Zhao , Peng Li , Jie Zhou , Xu Sun

Federated Learning (FL) enables a group of clients to jointly train a machine learning model with the help of a centralized server. Clients do not need to submit their local data to the server during training, and hence the local training…

Machine Learning · Computer Science 2023-01-10 Liling Zhang , Xinyu Lei , Yichun Shi , Hongyu Huang , Chao Chen

Traditional linear methods for forecasting multivariate time series are not able to satisfactorily model the non-linear dependencies that may exist in non-Gaussian series. We build on the theory of learning vector-valued functions in the…

Machine Learning · Computer Science 2017-06-28 Magda Gregorová , Alexandros Kalousis , Stéphane Marchand-Maillet

Federated Graph Learning (FGL) has demonstrated the advantage of training a global Graph Neural Network (GNN) model across distributed clients using their local graph data. Unlike Euclidean data (\eg, images), graph data is composed of…

Machine Learning · Computer Science 2024-12-30 Xianjun Gao , Jianchun Liu , Hongli Xu , Shilong Wang , Liusheng Huang

Existing approaches in Federated Learning (FL) mainly focus on sending model parameters or gradients from clients to a server. However, these methods are plagued by significant inefficiency, privacy, and security concerns. Thanks to the…

Machine Learning · Computer Science 2024-06-04 Jie Zhang , Xiaohua Qi , Bo Zhao

Federated learning protects data privacy and security by exchanging models instead of data. However, unbalanced data distributions among participating clients compromise the accuracy and convergence speed of federated learning algorithms.…

Machine Learning · Computer Science 2022-04-11 Qilong Wu , Lin Liu , Shibei Xue

This report reviews the conceptual and theoretical links between Granger causality and directed information theory. We begin with a short historical tour of Granger causality, concentrating on its closeness to information theory. The…

Information Theory · Computer Science 2015-06-12 Pierre-Olivier Amblard , Olivier J. J. Michel

Inferring causal relations from time series measurements is an ill-posed mathematical problem, where typically an infinite number of potential solutions can reproduce the given data. We explore in depth a strategy to disambiguate between…

Dynamical Systems · Mathematics 2020-11-04 George Stepaniants , Bingni W. Brunton , J. Nathan Kutz

Machine learning has revitalized causal inference by combining flexible models and principled estimators, yet robust benchmarking and evaluation remain challenging with real-world data. In this work, we introduce frengression, a deep…

Methodology · Statistics 2025-08-05 Linying Yang , Robin J. Evans , Xinwei Shen

Causal discovery aims to infer causal relationships among variables from observational data, typically represented by a directed acyclic graph (DAG). Most existing methods assume independent and identically distributed observations, an…

Methodology · Statistics 2026-03-27 Alex Chen , Qing Zhou

Federated learning enables multiple clients to collaboratively learn a global model by periodically aggregating the clients' models without transferring the local data. However, due to the heterogeneity of the system and data, many…

Machine Learning · Computer Science 2021-09-14 Dezhong Yao , Wanning Pan , Yutong Dai , Yao Wan , Xiaofeng Ding , Hai Jin , Zheng Xu , Lichao Sun

Federated learning enables institutions to train predictive models collaboratively without sharing raw data, addressing privacy and regulatory constraints. In the standard horizontal setting, clients hold disjoint cohorts of individuals and…

Statistics Theory · Mathematics 2026-02-03 Alexis Ayme , Rémi Khellaf

Owing to the low communication costs and privacy-promoting capabilities, Federated Learning (FL) has become a promising tool for training effective machine learning models among distributed clients. However, with the distributed…

Machine Learning · Computer Science 2021-08-03 Chuan Ma , Jun Li , Ming Ding , Kang Wei , Wen Chen , H. Vincent Poor

With the advancement of deep learning technologies, various neural network-based Granger causality models have been proposed. Although these models have demonstrated notable improvements, several limitations remain. Most existing approaches…

Machine Learning · Computer Science 2025-10-28 Meiliang Liu , Huiwen Dong , Xiaoxiao Yang , Yunfang Xu , Zijin Li , Zhengye Si , Xinyue Yang , Zhiwen Zhao

We present Causal Generative Neural Networks (CGNNs) to learn functional causal models from observational data. CGNNs leverage conditional independencies and distributional asymmetries to discover bivariate and multivariate causal…

We introduce a rigorous mathematical framework for Granger causality in extremes, designed to identify causal links from extreme events in time series. Granger causality plays a pivotal role in uncovering directional relationships among…

Machine Learning · Statistics 2024-10-21 Juraj Bodik , Olivier C. Pasche

With the advancement of neural networks, diverse methods for neural Granger causality have emerged, which demonstrate proficiency in handling complex data, and nonlinear relationships. However, the existing framework of neural Granger…

Machine Learning · Computer Science 2024-05-15 Wanqi Zhou , Shuanghao Bai , Shujian Yu , Qibin Zhao , Badong Chen

We address the challenge of federated learning on graph-structured data distributed across multiple clients. Specifically, we focus on the prevalent scenario of interconnected subgraphs, where interconnections between different clients play…

Machine Learning · Computer Science 2025-05-29 Javad Aliakbari , Johan Östman , Alexandre Graell i Amat