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We present a new framework for learning Granger causality networks for multivariate categorical time series, based on the mixture transition distribution (MTD) model. Traditionally, MTD is plagued by a nonconvex objective,…

Methodology · Statistics 2017-06-12 Alex Tank , Emily B. Fox , Ali Shojaie

Federated Learning (FL) is a privacy-preserving machine learning framework facilitating collaborative training across distributed clients. However, its performance is often compromised by data heterogeneity among participants, which can…

Machine Learning · Computer Science 2026-02-16 Ziru Niu , Hai Dong , A. K. Qin

Resource sharing in multi-tenant cloud environments enables cost efficiency but introduces the Noisy Neighbor problem, i.e., co-located workloads that unpredictably degrade each other's performance. Despite extensive research on detecting…

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

Causal inference is essential for data-driven decision-making, as it aims to uncover causal relationships from observational data. However, identifying causality remains challenging due to the potential for confounding and the distinction…

Machine Learning · Statistics 2026-05-08 Tianyu Yang , Md. Noor-E-Alam

In traditional federated learning, a single global model cannot perform equally well for all clients. Therefore, the need to achieve the client-level fairness in federated system has been emphasized, which can be realized by modifying the…

Machine Learning · Computer Science 2025-10-09 Seok-Ju Hahn , Gi-Soo Kim , Junghye Lee

Federated learning enables collaborative training across distributed clients with heterogeneous data, but such heterogeneity often leads to unstable updates and degraded global performance. Moreover, in practical deployments, client updates…

This paper proposes a new approach for testing Granger non-causality on panel data. Instead of aggregating panel member statistics, we aggregate their corresponding p-values and show that the resulting p-value approximately bounds the type…

Federated learning (FL) has emerged as a promising paradigm in machine learning, enabling collaborative model training across decentralized devices without the need for raw data sharing. In FL, a global model is trained iteratively on local…

Machine Learning · Computer Science 2025-04-01 Kanishka Ranaweera , Azadeh Ghari Neiat , Xiao Liu , Bipasha Kashyap , Pubudu N. Pathirana

We study Granger causality in the context of wide-sense stationary time series, where our focus is on the topological aspects of the underlying causality graph. We establish sufficient conditions (in particular, we develop the notion of a…

Statistics Theory · Mathematics 2019-11-19 R. J. Kinnear , R. R. Mazumdar

Federated learning is a promising collaborative and privacy-preserving machine learning approach in data-rich smart cities. Nevertheless, the inherent heterogeneity of these urban environments presents a significant challenge in selecting…

Computer Science and Game Theory · Computer Science 2024-05-02 Osama Wehbi , Sarhad Arisdakessian , Mohsen Guizani , Omar Abdel Wahab , Azzam Mourad , Hadi Otrok , Hoda Al khzaimi , Bassem Ouni

Federated graph learning (FGL) enables multiple clients to collaboratively train powerful graph neural networks without sharing their private, decentralized graph data. Inherited from generic federated learning, FGL is critically challenged…

Machine Learning · Computer Science 2025-08-15 Xinrui Li , Qilin Fan , Tianfu Wang , Kaiwen Wei , Ke Yu , Xu Zhang

Asynchronous federated learning aims to solve the straggler problem in heterogeneous environments, i.e., clients have small computational capacities that could cause aggregation delay. The principle of asynchronous federated learning is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-05 Xiang Ma , Qun Wang , Haijian Sun , Rose Qingyang Hu , Yi Qian

Federated learning (FL) enables collaborative training across clients while preserving privacy. While most existing FL methods assume homogeneous model architectures, client heterogeneity in both data and resources makes this assumption…

Machine Learning · Computer Science 2026-03-30 Yuan Yao , Lixu Wang , Jiaqi Wu , Jin Song , Simin Chen , Zehua Wang , Zijian Tian , Wei Chen , Huixia Li , Xiaoxiao Li

Federated Learning (FL) has surged in prominence due to its capability of collaborative model training without direct data sharing. However, the vast disparity in local data distributions among clients, often termed the Non-Independent…

Machine Learning · Computer Science 2024-12-12 Zheshun Wu , Zenglin Xu , Dun Zeng , Qifan Wang , Jie Liu

Granger causality is popular for analyzing time series data in many applications from natural science to social science including genomics, neuroscience, economics, and finance. Consequently, the Granger causality test has become one of the…

Methodology · Statistics 2025-10-16 Yongchang Hui , Chijin Liu , Xiaojun Song

Understanding the causal interaction of time series variables can contribute to time series data analysis for many real-world applications, such as climate forecasting and extreme weather alerts. However, causal relationships are difficult…

Machine Learning · Computer Science 2024-08-09 Dongqi Fu , Yada Zhu , Hanghang Tong , Kommy Weldemariam , Onkar Bhardwaj , Jingrui He

Causal inference has recently gained notable attention across various fields like biology, healthcare, and environmental science, especially within explainable artificial intelligence (xAI) systems, for uncovering the causal relationships…

Machine Learning · Computer Science 2025-01-13 Xiaofeng Xiao , Khawlah Alharbi , Pengyu Zhang , Hantang Qin , Xubo Yue

Wiener and Granger have introduced an intuitive concept of causality between two variables which is based on the idea that an effect never occurs before its cause. Later, Geweke has generalized this concept to a multivariate Granger…

We develop a multivariate functional autoregressive model (MFAR), which captures the cross-correlation among multiple functional time series and thus improves forecast accuracy. We estimate the parameters under the Bayesian dynamic linear…

Methodology · Statistics 2024-05-29 Rituparna Sen , Anandamayee Majumdar , Shubhangi Sikaria