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The analysis of event time series is in general challenging. Most time series analysis tools are limited for the analysis of this kind of data. Recurrence analysis, a powerful concept from nonlinear time series analysis, provides several…

Chaotic Dynamics · Physics 2024-09-16 Norbert Marwan

What is a complex network? How do we characterize complex networks? Which systems can be studied from a network approach? In this text, we motivate the use of complex networks to study and understand a broad panoply of systems, ranging from…

Physics and Society · Physics 2007-11-27 Pedro G. Lind

Time series analysis is relevant in various disciplines such as physics, biology, chemistry, and finance. In this paper, we present a novel neural network architecture that integrates elements from ResNet structures, while introducing the…

Machine Learning · Computer Science 2024-02-12 Jarrod Mau , Kevin Moon

We present a novel way to characterize the structure of complex networks by studying the statistical properties of the trajectories of random walks over them. We consider time series corresponding to different properties of the nodes…

Physics and Society · Physics 2014-06-17 Vincenzo Nicosia , Manlio De Domenico , Vito Latora

Recurrence plot based time series analysis is widely used to study changes and transitions in the dynamics of a system or temporal deviations from its overall dynamical regime. However, most studies do not discuss the significance of the…

Chaotic Dynamics · Physics 2013-06-05 Norbert Marwan , Stefan Schinkel , Jürgen Kurths

Recurrence is a fundamental property of dynamical systems, which can be exploited to characterise the system's behaviour in phase space. A powerful tool for their visualisation and analysis called recurrence plot was introduced in the late…

Chaotic Dynamics · Physics 2025-01-27 Norbert Marwan , Maria Carmen Romano , Marco Thiel , Jürgen Kurths

Recently, evolving networks are becoming a suitable form to model many real-world complex systems, due to their peculiarities to represent the systems and their constituting entities, the interactions between the entities and the…

Artificial Intelligence · Computer Science 2017-09-21 Angelo Impedovo , Corrado Loglisci , Michelangelo Ceci

Real-world time series often exhibit complex interdependencies that cannot be captured in isolation. Global models that model past data from multiple related time series globally while producing series-specific forecasts locally are now…

Machine Learning · Computer Science 2024-05-14 Abishek Sriramulu , Christoph Bergmeir , Slawek Smyl

Network structures underlie the dynamics of many complex phenomena, from gene regulation and foodwebs to power grids and social media. Yet, as they often cannot be observed directly, their connectivities must be inferred from observations…

Machine Learning · Computer Science 2023-11-02 Thomas Gaskin , Grigorios A. Pavliotis , Mark Girolami

In this paper, we propose a technique for time series clustering using community detection in complex networks. Firstly, we present a method to transform a set of time series into a network using different distance functions, where each…

Machine Learning · Statistics 2015-08-20 Leonardo N. Ferreira , Liang Zhao

The study of complex systems in nature is essential to understand the interactions between different elements and how they influence one another. Complex network theory is a powerful tool that helps us to analyze these interactions and gain…

Social and Information Networks · Computer Science 2024-10-28 Aurelienne A. S. Jorge , Douglas Uba , Alex A. Fernandes , Izabelly C. Costa , Leonardo B. L. Santos

Time series are series of values ordered by time. This kind of data can be found in many real world settings. Classifying time series is a difficult task and an active area of research. This paper investigates the use of transfer learning…

Machine Learning · Computer Science 2019-09-23 Marc Wenninger , Sebastian P. Bayerl , Jochen Schmidt , Korbinian Riedhammer

Being able to capture the characteristics of a time series with a feature vector is a very important task with a multitude of applications, such as classification, clustering or forecasting. Usually, the features are obtained from linear…

Social and Information Networks · Computer Science 2022-02-18 Vanessa Freitas Silva , Maria Eduarda Silva , Pedro Ribeiro , Fernando Silva

Changes in the timescales at which complex systems evolve are essential to predicting critical transitions and catastrophic failures. Disentangling the timescales of the dynamics governing complex systems remains a key challenge. With this…

Methodology · Statistics 2024-03-11 Giona Casiraghi , Georges Andres

Complex network theory is being widely used to study many real-life systems. One of the fields that can benefit from complex network theory approach is transportation network. In this paper, we briefly review the complex network theory…

Physics and Society · Physics 2023-08-10 Nur Umaisara Rashid , Kar Tim Chan

A procedure to characterize chaotic dynamical systems with concepts of complex networks is pursued, in which a dynamical system is mapped onto a network. The nodes represent the regions of space visited by the system, while edges represent…

Statistical Mechanics · Physics 2011-12-20 Ernesto P. Borges , Daniel O. Cajueiro , Roberto F. S. Andrade

An important feature of all real-world networks is that the network structure changes over time. Due to this dynamic nature, it becomes difficult to propose suitable growth models that can explain the various important characteristic…

Social and Information Networks · Computer Science 2016-02-17 Sandipan Sikdar , Niloy Ganguly , Animesh Mukherjee

Time series has attracted a lot of attention in many fields today. Time series forecasting algorithm based on complex network analysis is a research hotspot. How to use time series information to achieve more accurate forecasting is a…

Social and Information Networks · Computer Science 2022-08-23 Tianxiang Zhan , Fuyuan Xiao

Complex network theory provides a unifying framework for the study of structured dynamic systems. The current literature emphasizes a widely reported phenomenon of intermittent interaction among network vertices. In this paper, we introduce…

Social and Information Networks · Computer Science 2025-02-17 Ziyan Zeng , Minyu Feng , Pengfei Liu , Jurgen Kurths

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