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Complex network theory provides a powerful framework to statistically investigate the topology of local and non-local statistical interrelationships, i.e. teleconnections, in the climate system. Climate networks constructed from the same…

Data Analysis, Statistics and Probability · Physics 2009-07-27 Jonathan F. Donges , Yong Zou , Norbert Marwan , Jürgen Kurths

We propose a method to reconstruct and analyze a complex network from data generated by a spatio-temporal dynamical system, relying on the nonlinear mutual information of time series analysis and betweenness centrality of complex network…

Atmospheric and Oceanic Physics · Physics 2010-02-11 Jonathan F. Donges , Yong Zou , Norbert Marwan , Juergen Kurths

Understanding the causes and consequences of, and devising countermeasures to, global warming is a profoundly complex problem. Network representations are sometimes the only way forward, and sometimes able to reduce the complexity of the…

Physics and Society · Physics 2022-05-30 Petter Holme , Juan C. Rocha

Complex network theory provides an important tool for the analysis of complex systems such as the Earth's climate. In this context, functional climate networks can be constructed using a spatiotemporal climate dataset and a suitable time…

Data Analysis, Statistics and Probability · Physics 2021-09-22 Leonardo N. Ferreira , Nicole C. R. Ferreira , Elbert E. N. Macau , Reik V. Donner

Complex network theory provides an elegant and powerful framework to statistically investigate different types of systems such as society, brain or the structure of local and long-range dynamical interrelationships in the climate system.…

Network-based analyses of dynamical systems have become increasingly popular in climate science. Here we address network construction from a statistical perspective and highlight the often ignored fact that the calculated correlation values…

Machine Learning · Computer Science 2023-06-14 Moritz Haas , Bedartha Goswami , Ulrike von Luxburg

Data mining, particularly the analysis of multivariate time series data, plays a crucial role in extracting insights from complex systems and supporting informed decision-making across diverse domains. However, assessing the similarity of…

Machine Learning · Computer Science 2025-07-15 Franck Tonle , Henri Tonnang , Milliam Ndadji , Maurice Tchendji , Armand Nzeukou , Kennedy Senagi , Saliou Niassy

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

Network theory has established itself as an appropriate tool for complex systems analysis and pattern recognition. In the context of spatiotemporal data analysis, correlation networks are used in the vast majority of works. However, the…

Identifying causal relationships from observational time series data is a key problem in disciplines such as climate science or neuroscience, where experiments are often not possible. Data-driven causal inference is challenging since…

Methodology · Statistics 2019-12-03 Jakob Runge , Peer Nowack , Marlene Kretschmer , Seth Flaxman , Dino Sejdinovic

Complex networks represent system dynamics through the interactions of a set of anomalous time series. Consider the problem of computing correlations for highly correlated pairs of time series across sliding windows. Efficiently computing…

Physics and Society · Physics 2023-04-25 Yunlong Xu , Peizhen Yang , Zhengbin Tao

Network theory provides various tools for investigating the structural or functional topology of many complex systems found in nature, technology and society. Nevertheless, it has recently been realised that a considerable number of systems…

Data Analysis, Statistics and Probability · Physics 2012-03-23 Jonathan F. Donges , Hanna C. H. Schultz , Norbert Marwan , Yong Zou , Juergen Kurths

Climate science studies the structure and dynamics of Earth's climate system and seeks to understand how climate changes over time, where the data is usually stored in the format of time series, recording the climate features, geolocation,…

The climate is a forced and dissipative nonlinear system featuring non-trivial dynamics of a vast range of spatial and temporal scales. The understanding of the climate's structural and multiscale properties is crucial for the provision of…

Atmospheric and Oceanic Physics · Physics 2015-06-17 Valerio Lucarini , Richard Blender , Corentin Herbert , Salvatore Pascale , Francesco Ragone , Jeroen Wouters

The problem of real-time processing is one of the most challenging current issues in computer sciences. Because of the large amount of data to be treated in a limited period of time, parallel and distributed systems are required, whose…

Physics and Society · Physics 2007-05-23 Gonzalo Travieso , Luciano da Fontoura Costa

The atmosphere is chaotic. This fundamental property of the climate system makes forecasting weather incredibly challenging: it's impossible to expect weather models to ever provide perfect predictions of the Earth system beyond timescales…

Atmospheric and Oceanic Physics · Physics 2020-12-15 Elizabeth A. Barnes , Kirsten Mayer , Benjamin Toms , Zane Martin , Emily Gordon

Global climate warming poses a significant challenge to humanity; it is associated with, e.g., rising sea level and declining Arctic sea ice. Increasing extreme events are also considered to be a result of climate…

Physics and Society · Physics 2019-01-23 Jingfang Fan , Jun Meng , Yosef Ashkenazy , Shlomo Havlin , Hans Joachim Schellnhuber

Continuous-time dynamics models, such as neural ordinary differential equations, have enabled the modeling of underlying dynamics in time-series data and accurate forecasting. However, parameterization of dynamics using a neural network…

Machine Learning · Computer Science 2022-10-14 Fan Wu , Sanghyun Hong , Donsub Rim , Noseong Park , Kookjin Lee

Given that observational and numerical climate data are being produced at ever more prodigious rates, increasingly sophisticated and automated analysis techniques have become essential. Deep learning is quickly becoming a standard approach…

Fluid Dynamics · Physics 2017-09-12 A. Rupe , J. P. Crutchfield , K. Kashinath , Prabhat

Time series forecasting plays an increasingly important role in modern business decisions. In today's data-rich environment, people often aim to choose the optimal forecasting model for their data. However, identifying the optimal model…

Applications · Statistics 2021-12-17 Xixi Li , Fotios Petropoulos , Yanfei Kang
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