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We consider the Granger causal structure learning problem from time series data. Granger causal algorithms predict a 'Granger causal effect' between two variables by testing if prediction error of one decreases significantly in the absence…

Federated Learning is a fast growing area of ML where the training datasets are extremely distributed, all while dynamically changing over time. Models need to be trained on clients' devices without any guarantees for either homogeneity or…

Machine Learning · Computer Science 2021-10-20 Tae Jin Park , Kenichi Kumatani , Dimitrios Dimitriadis

Identifying directed interactions between species from time series of their population densities has many uses in ecology. This key statistical task is equivalent to causal time series inference, which connects to the Granger causality (GC)…

Populations and Evolution · Quantitative Biology 2020-11-10 Frederic Barraquand , Coralie Picoche , Matteo Detto , Florian Hartig

We introduce large-scale Augmented Granger Causality (lsAGC) as a method for connectivity analysis in complex systems. The lsAGC algorithm combines dimension reduction with source time-series augmentation and uses predictive time-series…

Neurons and Cognition · Quantitative Biology 2021-01-26 Axel Wismuller , M. Ali Vosoughi

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

Granger causality (GC) is undoubtedly the most widely used method to infer cause-effect relations from observational time series. Several nonlinear alternatives to GC have been proposed based on kernel methods. We generalize kernel Granger…

Chaotic Dynamics · Physics 2020-12-10 Diego Bueso , Maria Piles , Gustau Camps-Valls

Decentralized data sources are prevalent in real-world applications, posing a formidable challenge for causal inference. These sources cannot be consolidated into a single entity owing to privacy constraints. The presence of dissimilar data…

Machine Learning · Computer Science 2024-05-31 Thanh Vinh Vo , Young lee , Tze-Yun Leong

While federated learning has shown strong results in optimizing a machine learning model without direct access to the original data, its performance may be hindered by intermittent client availability which slows down the convergence and…

Machine Learning · Computer Science 2022-12-08 Zheng Wang , Xiaoliang Fan , Jianzhong Qi , Haibing Jin , Peizhen Yang , Siqi Shen , Cheng Wang

Federated prognostics enable clients (e.g., companies, factories, and production lines) to collaboratively develop a failure time prediction model while keeping each client's data local and confidential. However, traditional federated…

Machine Learning · Computer Science 2026-04-22 Yuhan Hu , Xiaolei Fang

Complex dynamical systems are prevalent in many scientific disciplines. In the analysis of such systems two aspects are of particular interest: 1) the temporal patterns along which they evolve and 2) the underlying causal mechanisms.…

Methodology · Statistics 2022-05-31 Nicolas-Domenic Reiter , Andreas Gerhardus , Jakob Runge

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

Characterising cause-effect relationships in complex systems is fundamental to understanding their underlying mechanisms. Granger causality (GC) remains a widely used computational tool for identifying causal relationships in time series…

Machine Learning · Statistics 2026-05-26 S. A. Adedayo

Granger causality is among the widely used data-driven approaches for causal analysis of time series data with applications in various areas including economics, molecular biology, and neuroscience. Two of the main challenges of this…

Methodology · Statistics 2023-07-19 Proloy Das , Behtash Babadi

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

Experiments in many fields of science and engineering yield data in the form of time series. The Fourier and wavelet transform-based nonparametric methods are used widely to study the spectral characteristics of these time series data.…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Mukeshwar Dhamala , Govindan Rangarajan , Mingzhou Ding

Federated Learning (FL) is a decentralized learning paradigm, in which multiple clients collaboratively train deep learning models without centralizing their local data, and hence preserve data privacy. Real-world applications usually…

Machine Learning · Computer Science 2023-08-23 Haokun Chen , Ahmed Frikha , Denis Krompass , Jindong Gu , Volker Tresp

Imitation learning, which learns agent policy by mimicking expert demonstration, has shown promising results in many applications such as medical treatment regimes and self-driving vehicles. However, it remains a difficult task to interpret…

Machine Learning · Computer Science 2024-01-31 Tianxiang Zhao , Wenchao Yu , Suhang Wang , Lu Wang , Xiang Zhang , Yuncong Chen , Yanchi Liu , Wei Cheng , Haifeng Chen

Graph topology inference of network processes with co-evolving and interacting time-series is crucial for network studies. Vector autoregressive models (VAR) are popular approaches for topology inference of directed graphs; however, in…

Machine Learning · Computer Science 2020-11-18 M. Ali Vosoughi , Axel Wismuller

Causality plays a central role in understanding interactions between variables in complex systems. These systems often exhibit state-dependent causal relationships, where both the strength and direction of causality vary with the value of…

Data Analysis, Statistics and Probability · Physics 2025-08-05 Álvaro Martínez-Sánchez , Adrián Lozano-Durán

Learning from the collective knowledge of data dispersed across private sources can provide neural networks with enhanced generalization capabilities. Federated learning, a method for collaboratively training a machine learning model across…

Machine Learning · Computer Science 2024-05-20 Matt Gorbett , Hossein Shirazi , Indrakshi Ray
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