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We propose a novel algorithm - Multifractal Cross-Correlation Analysis (MFCCA) - that constitutes a consistent extension of the Detrended Cross-Correlation Analysis (DCCA) and is able to properly identify and quantify subtle characteristics…

Data Analysis, Statistics and Probability · Physics 2014-02-25 Paweł Oświȩcimka , Stanisław Drożdż , Marcin Forczek , Stanisław Jadach , Jarosław Kwapień

The accurate segmentation of Coronary Computed Tomography Angiography (CCTA) images holds substantial clinical value for the early detection and treatment of Coronary Heart Disease (CHD). The Transformer, utilizing a self-attention…

Image and Video Processing · Electrical Eng. & Systems 2023-10-10 Chenchu Xu , Meng Li , Xue Wu

Quantification of complexity in neurophysiological signals has been studied using different methods, especially those from information or dynamical system theory. These studies revealed the dependence on different states of consciousness,…

Neurons and Cognition · Quantitative Biology 2017-01-26 D. M. Mateos , R. Guevara Erra , R. Wennberg , J. L. Perez Velazquez

Synchronization processes in populations of locally interacting elements are in the focus of intense research in physical, biological, chemical, technological and social systems. The many efforts devoted to understand synchronization…

Physics and Society · Physics 2009-09-29 Alex Arenas , Albert Diaz-Guilera , Jurgen Kurths , Yamir Moreno , Changsong Zhou

CT scan images of human brain of a particular patient in different cross sections are taken, on which wavelet transform and multi-fractal analysis are applied. The vertical and horizontal unfolding of images are done before analyzing these…

Computer Vision and Pattern Recognition · Computer Science 2015-03-16 Sabyasachi Mukhopadhyay , Soham Mandal , Nandan K Das , Subhadip Dey , Asish Mitra , Nirmalya Ghosh , Prasanta K Panigrahi

The complex behavior of many systems in nature requires the application of robust methodologies capable of identifying changes in their dynamics. In the case of time series (which are sensed values of a system during a time interval),…

Data Analysis, Statistics and Probability · Physics 2023-10-17 L. Guzman-Vargas , A. Zabaleta-Ortega , A. Guzman-Saenz

Most machine learning methods are used as a black box for modelling. We may try to extract some knowledge from physics-based training methods, such as neural ODE (ordinary differential equation). Neural ODE has advantages like a possibly…

Machine Learning · Computer Science 2022-06-08 Yakov Golovanev , Alexander Hvatov

Online Test-Time Adaptation (OTTA) has emerged as an effective strategy to handle distributional shifts, allowing on-the-fly adaptation of pre-trained models to new target domains during inference, without the need for source data. We…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 WeiQin Chuah , Ruwan Tennakoon , Alireza Bab-Hadiashar

Accurate diagnosis is required before performing proper treatments for coronary heart disease. Machine learning based approaches have been proposed by many researchers to improve the accuracy of coronary heart disease diagnosis. Ensemble…

Machine Learning · Computer Science 2020-07-07 Kuntoro Adi Nugroho , Noor Akhmad Setiawan , Teguh Bharata Adji

Independent component analysis (ICA) has proven useful for modeling brain and electroencephalographic (EEG) data. Here, we present a new, generalized method to better capture the dynamics of brain signals than previous ICA algorithms. We…

Quantitative Methods · Quantitative Biology 2007-05-23 Jorn Anemuller , Terrence J. Sejnowski , Scott Makeig

Modern imaging techniques for probing brain function, including functional Magnetic Resonance Imaging, intrinsic and extrinsic contrast optical imaging, and magnetoencephalography, generate large data sets with complex content. In this…

Neurons and Cognition · Quantitative Biology 2009-11-10 P. P. Mitra , B. Pesaran

Recent advances in signal processing and information theory are boosting the development of new approaches for the data-driven modelling of complex network systems. In the fields of Network Physiology and Network Neuroscience where the…

Methodology · Statistics 2024-01-23 Laura Sparacino , Yuri Antonacci , Gorana Mijatovic , Luca Faes

We propose an approach for dynamic efficiency evaluation across multiple organizational dimensions using data envelopment analysis (DEA). The method generates both dimension-specific and aggregate efficiency scores, incorporates desirable…

Optimization and Control · Mathematics 2026-04-07 Hashem Omrani , Raha Imanirad , Adam Diamant , Utkarsh Verma , Amol Verma , Fahad Razak

The complex dynamics of the heart are reflected in its electrical activity, captured through electrocardiograms (ECGs). In this study we use nonlinear time series analysis to understand how ECG complexity varies with cardiac pathology.…

Signal Processing · Electrical Eng. & Systems 2025-10-22 Camilo Quiceno Quintero , Sandip Varkey George

Using a graph-based approach, we propose a multiscale permutation entropy to explore the complexity of multivariate time series over multiple time scales. This multivariate multiscale permutation entropy (MPEG) incorporates the interaction…

Data Analysis, Statistics and Probability · Physics 2022-10-18 John Stewart Fabila-Carrasco , Chao Tan , Javier Escudero

There are several kinds of non-invasive imaging methods that are used to collect data from the brain, e.g., EEG, MEG, PET, SPECT, fMRI, etc. It is difficult to get resolution of information processing using any one of these methods.…

Computational Engineering, Finance, and Science · Computer Science 2007-07-13 Lester Ingber

The synchronization of two stochastically coupled one-dimensional cellular automata (CA) is analyzed. It is shown that the transition to synchronization is characterized by a dramatic increase of the statistical complexity of the patterns…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Juan R. Sánchez , Ricardo López-Ruiz

Brain lesion and anatomy segmentation in magnetic resonance images are fundamental tasks in neuroimaging research and clinical practice. Given enough training data, convolutional neuronal networks (CNN) proved to outperform all existent…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Nicolas Roulet , Diego Fernandez Slezak , Enzo Ferrante

Effective analysis in neuroscience benefits significantly from robust conceptual frameworks. Traditional metrics of interbrain synchrony in social neuroscience typically depend on fixed, correlation-based approaches, restricting their…

Neurons and Cognition · Quantitative Biology 2025-12-01 Nicolás Hinrichs , Noah Guzmán , Melanie Weber

The long-term progression of neurodegenerative diseases is commonly conceptualized as a spatiotemporal diffusion process that consists of a graph diffusion process across the structural brain connectome and a localized reaction process…

Machine Learning · Computer Science 2025-08-12 Tiantian He , Keyue Jiang , An Zhao , Anna Schroder , Elinor Thompson , Sonja Soskic , Frederik Barkhof , Daniel C. Alexander