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Multiscale entropy (MSE) has been a prevalent algorithm to quantify the complexity of fluctuations in the local mean value of biomedical time series. Recent developments in the field have tried to improve the MSE by reducing its variability…

Computational Engineering, Finance, and Science · Computer Science 2017-05-04 Hamed Azami , Alberto Fernandez , Javier Escudero

A recent method based on the concurrence of complex networks and multifractal analyses is applied for the first time to explore ground-level ozone behavior. Ozone time series are converted into complex networks for their posterior analysis.…

Atmospheric and Oceanic Physics · Physics 2023-11-20 R. Carmona-Cabezas , A. B. Ariza-Villaverde , E. Gutierrez de Rave , F. J. Jimenez-Hornero

We introduce a novel, data-driven topological data analysis (TDA) approach for embedding brain networks into a lower-dimensional space in quantifying the dynamics of temporal lobe epilepsy (TLE) obtained from resting-state functional…

Multifractal analysis (MFA) is a useful tool to systematically describe the spatial heterogeneity of both theoretical and experimental fractal patterns. One of the widely used methods for fractal analysis is box-covering. It is known to be…

Physics and Society · Physics 2021-04-14 Yuemin Ding , Jin-Long Liu , Xiaohui Li , Yu-Chu Tian , Zu-Guo Yu

Stress analysis of heterogeneous media, like composite materials, using Finite Element Analysis (FEA) has become commonplace in design and analysis. However, determining stress distributions in heterogeneous media using FEA can be…

Applied Physics · Physics 2021-04-22 Haotian Feng , Pavana Prabhakar

Complex network analysis has an increasing relevance in the study of neurological disorders, enhancing the knowledge of brain's structural and functional organization. Network structure and efficiency reveal different brain states along…

Neurons and Cognition · Quantitative Biology 2022-01-24 Nicolás J. Gallego-Molina , Andrés Ortiz , Francisco J. Martínez-Murcia , Marco Formoso , Almudena Giménez

Information theory allows us to investigate information processing in neural systems in terms of information transfer, storage and modification. Especially the measure of information transfer, transfer entropy, has seen a dramatic surge of…

Information Theory · Computer Science 2015-11-24 Patricia Wollstadt , Mario Martínez-Zarzuela , Raul Vicente , Francisco J. Díaz-Pernas , Michael Wibral

The network representation is becoming increasingly popular for the description of cardiovascular interactions based on the analysis of multiple simultaneously collected variables. However, the traditional methods to assess network links…

Topological data analysis (TDA) approaches are becoming increasingly popular for studying the dependence patterns in multivariate time series data. In particular, various dependence patterns in brain networks may be linked to specific tasks…

Methodology · Statistics 2025-12-08 Anass El Yaagoubi Bourakna , Moo K. Chung , Hernando Ombao

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

Topological data analysis (TDA) is an emerging technique for biological signal processing. TDA leverages the invariant topological features of signals in a metric space for robust analysis of signals even in the presence of noise. In this…

Algebraic Topology · Mathematics 2024-01-11 Shashank Manjunath , Jose A. Perea , Aarti Sathyanarayana

Spectral networks derived from multivariate time series data arise in many domains, from brain science to Earth science. Often, it is of interest to study how these networks change under different conditions. For instance, to better…

Methodology · Statistics 2025-07-22 Michael Hellstern , Byol Kim , Zaid Harchaoui , Ali Shojaie

Ordinal time series analysis is based on the idea to map time series to ordinal patterns, i.e., order relations between the values of a time series and not the values themselves, as introduced in 2002 by C. Bandt and B. Pompe. Despite a…

Neurons and Cognition · Quantitative Biology 2023-02-03 Klaus Lehnertz

Continual Test-Time Adaptation (CTTA), which aims to adapt the pre-trained model to ever-evolving target domains, emerges as an important task for vision models. As current vision models appear to be heavily biased towards texture,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Rongyu Zhang , Aosong Cheng , Yulin Luo , Gaole Dai , Huanrui Yang , Jiaming Liu , Ran Xu , Li Du , Yuan Du , Yanbing Jiang , Shanghang Zhang

In this letter, we numerically investigate a long-haul coherent data transmission system with a cascade of semiconductor optical amplifiers (SOAs). We exploit low-complexity neural networks that can be implemented in real time to compensate…

In the field of heart disease classification, two primary obstacles arise. Firstly, existing Electrocardiogram (ECG) datasets consistently demonstrate imbalances and biases across various modalities. Secondly, these time-series data consist…

Machine Learning · Computer Science 2024-07-31 Thao Hoang , Linh Nguyen , Khoi Do , Duong Nguyen , Viet Dung Nguyen

Heterogeneous presentation of a neurological disorder suggests potential differences in the underlying pathophysiological changes that occur in the brain. We propose to model heterogeneous patterns of functional network differences using a…

Machine Learning · Computer Science 2021-04-16 Nicha C. Dvornek , Xiaoxiao Li , Juntang Zhuang , Pamela Ventola , James S. Duncan

Complexity metrics and machine learning (ML) models have been utilized to analyze the lengths of segmental genomic entities like: exons, introns, intergenic and repeat/unique DNA sequences, in each of the 22 human chromosomes. The purpose…

Designing network parameters that can effectively represent complex networks is of significant importance for the analysis of time-varying complex networks. This paper introduces a novel thermodynamic framework for analyzing complex…

Quantitative Methods · Quantitative Biology 2024-09-04 Dayu Qin , Yuzhe Chen , Ercan Engin Kuruoglu

We introduce Multivariate Multiscale Graph-based Dispersion Entropy (mvDEG), a novel, computationally efficient method for analyzing multivariate time series data in graph and complex network frameworks, and demonstrate its application in…

Combinatorics · Mathematics 2024-05-02 John Stewart Fabila-Carrasco , Chao Tan , Javier Escudero