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Related papers: Network structure of multivariate time series

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Time series analysis has proven to be a powerful method to characterize several phenomena in biology, neuroscience and economics, and to understand some of their underlying dynamical features. Despite a plethora of methods have been…

Physics and Society · Physics 2023-03-01 Andrea Santoro , Federico Battiston , Giovanni Petri , Enrico Amico

In the last decade, there has been a growing body of literature addressing the utilization of complex network methods for the characterization of dynamical systems based on time series. While both nonlinear time series analysis and complex…

Data Analysis, Statistics and Probability · Physics 2025-02-03 Yong Zou , Reik V. Donner , Norbert Marwan , Jonathan F. Donges , Jürgen Kurths

We propose here a multiplex network approach to investigate simultaneously different types of dependency in complex data sets. In particular, we consider multiplex networks made of four layers corresponding respectively to linear,…

Physics and Society · Physics 2016-06-16 Nicoló Musmeci , Vincenzo Nicosia , Tomaso Aste , Tiziana Di Matteo , Vito Latora

Multivariate time series analysis is a vital but challenging task, with multidisciplinary applicability, tackling the characterization of multiple interconnected variables over time and their dependencies. Traditional methodologies often…

Social and Information Networks · Computer Science 2026-02-03 Vanessa Freitas Silva , Maria Eduarda Silva , Pedro Ribeiro , Fernando Silva

This paper proposes a flexible framework for inferring large-scale time-varying and time-lagged correlation networks from multivariate or high-dimensional non-stationary time series with piecewise smooth trends. Built on a novel and unified…

Methodology · Statistics 2023-02-13 Lujia Bai , Weichi Wu

Many real-world complex systems, such as epidemic spreading networks and ecosystems, can be modeled as networked dynamical systems that produce multivariate time series. Learning the intrinsic dynamics from observational data is pivotal for…

Machine Learning · Computer Science 2024-12-30 Yanna Ding , Zijie Huang , Malik Magdon-Ismail , Jianxi Gao

Complex networks are an important paradigm of modern complex systems sciences which allows quantitatively assessing the structural properties of systems composed of different interacting entities. During the last years, intensive efforts…

We describe a novel method for modeling non-stationary multivariate time series, with time-varying conditional dependencies represented through dynamic networks. Our proposed approach combines traditional multi-scale modeling and network…

Methodology · Statistics 2017-12-25 Xinyu Kang , Apratim Ganguly , Eric D. Kolaczyk

Evolving multiplex networks are a powerful model for representing the dynamics along time of different phenomena, such as social networks, power grids, biological pathways. However, exploring the structure of the multiplex network time…

Physics and Society · Physics 2016-01-11 Giuseppe Jurman

In recent years, there has been a surge in the prevalence of high- and multi-dimensional temporal data across various scientific disciplines. These datasets are characterized by their vast size and challenging potential for analysis. Such…

Social and Information Networks · Computer Science 2023-11-21 Vanessa Freitas Silva , Maria Eduarda Silva , Pedro Ribeiro , Fernando Silva

In the past years, network theory has successfully characterized the interaction among the constituents of a variety of complex systems, ranging from biological to technological, and social systems. However, up until recently, attention was…

Multivariate time series analysis is extensively used in neurophysiology with the aim of studying the relationship between simultaneously recorded signals. Recently, advances on information theory and nonlinear dynamical systems theory have…

Chaotic Dynamics · Physics 2007-05-23 Ernesto Pereda , Rodrigo Quian Quiroga , Joydeep Bhattacharya

We develop a framework to track the structure of temporal networks with a signal processing approach. The method is based on the duality between networks and signals using a multidimensional scaling technique. This enables a study of the…

Social and Information Networks · Computer Science 2015-05-13 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

There is nowadays a constant flux of data being generated and collected in all types of real world systems. These data sets are often indexed by time, space or both requiring appropriate approaches to analyze the data. In univariate…

Social and Information Networks · Computer Science 2021-10-20 Vanessa Freitas Silva , Maria Eduarda Silva , Pedro Ribeiro , Fernando Silva

Systems are commonly monitored for health and security through collection and streaming of multivariate time series. Advances in time series forecasting due to adoption of multilayer recurrent neural network architectures make it possible…

Machine Learning · Statistics 2022-03-10 Oshri Barazani , David Tolpin

This paper presents a new approach for analysing structural properties of time series from complex systems. Starting from the concept of recurrences in phase space, the recurrence matrix of a time series is interpreted as the adjacency…

Chaotic Dynamics · Physics 2011-03-03 Reik V. Donner , Y. Zou , Jonathan F. Donges , Norbert Marwan , Juergen Kurths

The structure of real-world networks is usually difficult to characterize owing to the variation of topological scales, the nondyadic complex interactions, and the fluctuations in the network. We aim to address these problems by introducing…

Social and Information Networks · Computer Science 2019-09-25 Quoc Hoan Tran , Van Tuan Vo , Yoshihiko Hasegawa

Nonlinear time series analysis is an active field of research that studies the structure of complex signals in order to derive information of the process that generated those series, for understanding, modeling and forecasting purposes. In…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Lucas Lacasa , Raul Toral

We propose a novel approach for analysing time series using complex network theory. We identify the recurrence matrix calculated from time series with the adjacency matrix of a complex network, and apply measures for the characterisation of…

Chaotic Dynamics · Physics 2009-10-17 N. Marwan , J. F. Donges , Y. Zou , R. V. Donner , J. Kurths

There is often latent network structure in spatial and temporal data and the tools of network analysis can yield fascinating insights into such data. In this paper, we develop a nonparametric method for network reconstruction from…

Social and Information Networks · Computer Science 2018-11-16 Baichuan Yuan , Hao Li , Andrea L. Bertozzi , P. Jeffrey Brantingham , Mason A. Porter
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