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A challenging problem when studying a dynamical system is to find the interdependencies among its individual components. Several algorithms have been proposed to detect directed dynamical influences between time series. Two of the most used…

Data Analysis, Statistics and Probability · Physics 2015-09-09 Alessandro Montalto , Sebastiano Stramaglia , Luca Faes , Giovanni Tessitore , Roberto Prevete , Daniele Marinazzo

Granger causality is a commonly used method for uncovering information flow and dependencies in a time series. Here we introduce JGC (Jacobian Granger Causality), a neural network-based approach to Granger causality using the Jacobian as a…

Machine Learning · Computer Science 2022-05-20 Suryadi , Yew-Soon Ong , Lock Yue Chew

We analyze by means of Granger causality the effect of synergy and redundancy in the inference (from time series data) of the information flow between subsystems of a complex network. Whilst we show that fully conditioned Granger causality…

Quantitative Methods · Quantitative Biology 2015-06-19 Sebastiano Stramaglia , Jesus M. Cortes , Daniele Marinazzo

Edge computing allows artificial intelligence and machine learning models to be deployed on edge devices, where they can learn from local data and collaborate to form a global model. Federated learning (FL) is a distributed machine learning…

Machine Learning · Computer Science 2024-05-03 Chris Xing Tian , Yibing Liu , Haoliang Li , Ray C. C. Cheung , Shiqi Wang

Exploratory analysis of time series data can yield a better understanding of complex dynamical systems. Granger causality is a practical framework for analysing interactions in sequential data, applied in a wide range of domains. In this…

Machine Learning · Computer Science 2021-01-20 Ričards Marcinkevičs , Julia E. Vogt

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

Multivariate time series anomaly detection has numerous real-world applications and is being extensively studied. Modeling pairwise correlations between variables is crucial. Existing methods employ learnable graph structures and graph…

Machine Learning · Computer Science 2025-01-24 Zehao Liu , Mengzhou Gao , Pengfei Jiao

In the post-crisis era, financial regulators and policymakers are increasingly interested in data-driven tools to measure systemic risk and to identify systemically important firms. Granger Causality (GC) based techniques to build networks…

Statistical Finance · Quantitative Finance 2022-07-27 Kara Karpman , Samriddha Lahiry , Diganta Mukherjee , Sumanta Basu

Neural processes in the brain operate at a range of temporal scales. Granger causality, the most widely-used neuroscientific tool for inference of directed functional connectivity from neurophsyiological data, is traditionally deployed in…

Applications · Statistics 2019-07-17 Lionel Barnett , Anil K. Seth

Graph learning has a wide range of applications in many scenarios, which require more need for data privacy. Federated learning is an emerging distributed machine learning approach that leverages data from individual devices or data centers…

Machine Learning · Computer Science 2023-07-20 Peilin Liu , Yanni Tang , Mingyue Zhang , Wu Chen

Important information on the structure of complex systems, consisting of more than one component, can be obtained by measuring to which extent the individual components exchange information among each other. Such knowledge is needed to…

Disordered Systems and Neural Networks · Physics 2009-11-13 Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

Federated domain generalization (FedDG) addresses distribution shifts among clients in a federated learning framework. FedDG methods aggregate the parameters of locally trained client models to form a global model that generalizes to unseen…

Machine Learning · Computer Science 2025-12-12 Ragja Palakkadavath , Hung Le , Thanh Nguyen-Tang , Svetha Venkatesh , Sunil Gupta

The performance of Federated Learning (FL) hinges on the effectiveness of utilizing knowledge from distributed datasets. Traditional FL methods adopt an aggregate-then-adapt framework, where clients update local models based on a global…

Computer Vision and Pattern Recognition · Computer Science 2024-05-01 Yuan Wang , Huazhu Fu , Renuga Kanagavelu , Qingsong Wei , Yong Liu , Rick Siow Mong Goh

Networks of modern industrial systems are increasingly monitored by distributed sensors, where each system comprises multiple subsystems generating high dimensional time series data. These subsystems are often interdependent, making it…

Machine Learning · Computer Science 2026-05-21 Ayse Tursucular , Ayush Mohanty , Nazal Mohamed , Nagi Gebraeel

Granger causal modeling is an emerging topic that can uncover Granger causal relationship behind multivariate time series data. In many real-world systems, it is common to encounter a large amount of multivariate time series data collected…

Machine Learning · Computer Science 2021-02-11 Yunfei Chu , Xiaowei Wang , Jianxin Ma , Kunyang Jia , Jingren Zhou , Hongxia Yang

Identifying the causal structure of systems with multiple dynamic elements is critical to several scientific disciplines. The conventional approach is to conduct statistical tests of causality, for example with Granger Causality, between…

Machine Learning · Statistics 2022-03-22 Jacek P. Dmochowski

Federated Learning (FL) trains deep models across edge devices without centralizing raw data, preserving user privacy. However, client heterogeneity slows down convergence and limits global model accuracy. Clustered FL (CFL) mitigates this…

Machine Learning · Computer Science 2026-02-10 Minghao Li , Dmitrii Avdiukhin , Rana Shahout , Nikita Ivkin , Vladimir Braverman , Minlan Yu

A novel approach is developed for discovering directed connectivity between specified pairs of nodes in a high-dimensional network (HDN) of brain signals. To accurately identify causal connectivity for such specified objectives, it is…

Applications · Statistics 2025-05-06 Sipan Aslan , Hernando Ombao

Federated training methods have gained popularity for graph learning with applications including friendship graphs of social media sites and customer-merchant interaction graphs of huge online marketplaces. However, privacy regulations…

Machine Learning · Computer Science 2024-12-23 Siddharth Ambekar , Yuhang Yao , Ryan Li , Carlee Joe-Wong

We consider federated learning of linearly-parameterized nonlinear systems. We establish theoretical guarantees on the effectiveness of federated nonlinear system identification compared to centralized approaches, demonstrating that the…

Machine Learning · Computer Science 2026-04-27 Omkar Tupe , Max Hartman , Lav R. Varshney , Saurav Prakash