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We localize the sources of brain activity of children with epilepsy based on EEG recordings acquired during a visual discrimination working memory task. For the numerical solution of the inverse problem, with the aid of age-specific MRI…

Neurons and Cognition · Quantitative Biology 2023-03-16 Evangelos Galaris , Ioannis Gallos , Ivan Myatchin , Lieven Lagae , Constantinos Siettos

In this paper we show that both music composition and brain function, as revealed by the Electroencephalogram (EEG) analysis, are renewal non-Poisson processes living in the non-ergodic dominion. To reach this important conclusion we…

Neurons and Cognition · Quantitative Biology 2009-11-13 Simone Bianco , Massimiliano Ignaccolo , Mark S. Rider , Mary J. Ross , Phil Winsor , Paolo Grigolini

The aim of this paper is to study the feasibility of time-reversal methods in a non homogeneous elastic medium, from data recorded in an acoustic medium. We aim to determine, from partial aperture boundary measurements, the presence and…

Numerical Analysis · Mathematics 2020-10-28 Franck Assous , Moshe Lin

This contribution reports an application of MultiFractal Detrended Fluctuation Analysis, MFDFA based novel feature extraction technique for automated detection of epilepsy. In fractal geometry, Multifractal Detrended Fluctuation Analysis…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 S Pratiher , S Chatterjee , R Bose

Networks - collections of interacting elements or nodes - abound in the natural and manmade worlds. For many networks, complex spatiotemporal dynamics stem from patterns of physical interactions unknown to us. To infer these interactions,…

Quantitative Methods · Quantitative Biology 2015-05-13 Mark A. Kramer , Uri T. Eden , Sydney S. Cash , Eric D. Kolaczyk

The training algorithms for AI systems all introduce far-from-equilibrium dynamical processes, and understanding the irreversibility of these algorithms is a fundamental step towards understanding the learning dynamics of modern AI systems.…

Statistical Mechanics · Physics 2026-05-22 Liu Ziyin , Yuanjie Ren , Adam Levine , Isaac Chuang

Electroencephalography (EEG) is a method to record the electrical signals in the brain. Recognizing the EEG patterns in the sleeping brain gives insights into the understanding of sleeping disorders. The dataset under consideration contains…

Machine Learning · Statistics 2018-04-25 Aditya Chindhade , Abhijeet Alshi , Aakash Bhatia , Kedar Dabhadkar , Pranav Sivadas Menon

We present the implementation of seizure detection algorithms based on a minimal number of EEG channels on a parallel ultra-low-power embedded platform. The analyses are based on the CHB-MIT dataset, and include explorations of different…

Many empirical time series are genuinely symbolic: examples range from link activation patterns in network science, DNA coding or firing patterns in neuroscience to cryptography or combinatorics on words. In some other contexts, the…

Chaotic Dynamics · Physics 2023-07-19 Lluis Arola-Fernandez , Lucas Lacasa

We consider a class of systems with time-varying parameters, which are written as linear regressions with bounded disturbances. The task is to estimate such parameters under the condition that the regressor is finitely exciting (FE).…

Systems and Control · Electrical Eng. & Systems 2021-11-24 Anton Glushchenko , Konstantin Lastochkin

This paper concerns with the time-reversal characteristics of intrinsic normal diffusion in quantum systems. Time-reversible properties are quantified by the time-reversal test; the system evolved in the forward direction for a certain…

Statistical Mechanics · Physics 2015-05-27 Hiroaki S. Yamada , Kensuke S. Ikeda

Irregular multivariate time series with missing values present significant challenges for predictive modeling in domains such as healthcare. While deep learning approaches often focus on temporal interpolation or complex architectures to…

Machine Learning · Computer Science 2026-03-16 Dingyi Nie , Yixing Wu , C. -C. Jay Kuo

Deep Learning is becoming increasingly relevant in Embedded and Internet-of-things applications. However, deploying models on embedded devices poses a challenge due to their resource limitations. This can impact the model's inference…

Machine Learning · Computer Science 2024-03-14 Max Sponner , Lorenzo Servadei , Bernd Waschneck , Robert Wille , Akash Kumar

We consider parameter estimation, hypothesis testing and variable selection for partially time-varying coefficient models. Our asymptotic theory has the useful feature that it can allow dependent, nonstationary error and covariate…

Statistics Theory · Mathematics 2012-08-20 Ting Zhang , Wei Biao Wu

Epilepsy affects nearly 1% of the global population, of which two thirds can be treated by anti-epileptic drugs and a much lower percentage by surgery. Diagnostic procedures for epilepsy and monitoring are highly specialized and…

Signal Processing · Electrical Eng. & Systems 2020-01-20 Tennison Liu , Nhan Duy Truong , Armin Nikpour , Luping Zhou , Omid Kavehei

Electroencephalography (EEG) is a widely used tool for diagnosing brain disorders due to its high temporal resolution, non-invasive nature, and affordability. Manual analysis of EEG is labor-intensive and requires expertise, making…

Signal Processing · Electrical Eng. & Systems 2024-11-19 Salim Rukhsar , Anil Kumar Tiwari

The brain activity and seismicity share a remarkable similarity. The Gutenberg-Richter law describing a power-law relation between the frequency of earthquake occurrence and released energy has its counterpart in the brain activity of a…

Statistical Mechanics · Physics 2023-10-24 Sumiyoshi Abe , Norikazu Suzuki

Visibility algorithms are a family of methods to map time series into networks, with the aim of describing the structure of time series and their underlying dynamical properties in graph-theoretical terms. Here we explore some properties of…

Data Analysis, Statistics and Probability · Physics 2015-10-14 Lucas Lacasa , Ryan Flanagan

We study the distribution of brain source from the most advanced brain imaging technique, Magnetoencephalography (MEG), which measures the magnetic fields outside the human head produced by the electrical activity inside the brain. Common…

Applications · Statistics 2019-08-13 Zhigang Yao , Zengyan Fan , Masahito Hayashi , William F. Eddy

We develop a new tool, the time inhomogeneous Poisson equation in the whole space and with a terminal condition at infinity, to study the asymptotic behavior of the non-autonomous multi-scale stochastic system with irregular coefficients,…

Probability · Mathematics 2024-12-13 Ling Wang , Pengcheng Xia , Longjie Xie , Li Yang