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In nonlinear dynamics, and to a lesser extent in other fields, a widely used measure of complexity is the Permutation Entropy. But there is still no known method to determine the accuracy of this measure. There has been little research on…

统计方法学 · 统计学 2017-11-22 Francisco Traversaro , Francisco Redelico

Recent analyses combining advanced theoretical techniques and high-quality data from thousands of simultaneously recorded neurons provide strong support for the hypothesis that neural dynamics operate near the edge of instability across…

神经元与认知 · 定量生物学 2024-03-25 Rubén Calvo , Carles Martorell , Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

Using coherence analysis (which is an extensively used method to study the correlations in frequency domain, between two simultaneously measured signals) we estimate the time delay between two signals. This method is suitable for time delay…

数据分析、统计与概率 · 物理学 2009-11-10 R. B. Govindan , J. Raethjen , F. Kopper , J. C. Claussen , G. Deuschl

Finding interdependency relations between (possibly multivariate) time series provides valuable knowledge about the processes that generate the signals. Information theory sets a natural framework for non-parametric measures of several…

信息论 · 计算机科学 2016-02-09 German Gomez-Herrero , Wei Wu , Kalle Rutanen , Miguel C. Soriano , Gordon Pipa , Raul Vicente

Two numerical methods are proposed for detection of coupling between multiple time series generated by deterministic nonlinear systems. The first detects interdependence or the existence of coupling between time series. The second…

混沌动力学 · 物理学 2025-05-07 Timothy Sauer , George Sugihara

Coherence analysis plays a vital role in the study of functional brain connectivity. However, coherence captures only linear spectral associations, and thus can produce misleading findings when ignoring variations of connectivity in the…

The neuromagnetic activity (magnetoencephalogram, MEG) from healthy human brain and from an epileptic patient against chromatic flickering stimuli has been earlier analyzed on the basis of a memory functions formalism (MFF). Information…

医学物理 · 物理学 2010-06-29 O. Yu. Panischev , S. A. Demin , J. Bhattacharya

One of the crucial steps in scientific studies is to specify dependent relationships among factors in a system of interest. Given little knowledge of a system, can we characterize the underlying dependent relationships through observation…

信息论 · 计算机科学 2012-12-24 Shohei Hidaka

In current clinical practices, electroencephalograms (EEG) are reviewed and analyzed by trained neurologists to provide supports for therapeutic decisions. Manual reviews can be laborious and error prone. Automatic and accurate…

机器学习 · 计算机科学 2019-03-25 Xinghua Yao , Qiang Cheng , Guo-Qiang Zhang

We calculate a measure of statistical complexity from the global dynamics of electroencephalographic (EEG) signals from healthy subjects and epileptic patients, and are able to stablish a criterion to characterize the collective behavior in…

适应与自组织系统 · 物理学 2015-05-13 M. Escalona-Moran , M. G. Cosenza , R. Lopez-Ruiz , P. Garcia

To simplify the quantification of time irreversibility, we employ order patterns instead of the raw multi-dimension vectors in time series, and considering the existence of forbidden permutation, we propose a subtraction-based parameter,…

医学物理 · 物理学 2019-02-08 Wenpo Yao , Wenli Yao , Jun Wang , Jiafei Dai

Patients with epilepsy can manifest short, sub-clinical epileptic "bursts" in addition to full-blown clinical seizures. We believe the relationship between these two classes of events---something not previously studied…

机器学习 · 统计学 2014-07-29 Drausin F. Wulsin , Emily B. Fox , Brian Litt

Classification models for electroencephalogram (EEG) data show a large decrease in performance when evaluated on unseen test sub jects. We reduce this performance decrease using new regularization techniques during model training. We…

Cross-frequency interactions are fundamental brain mechanisms for integrating information across temporal scales. However, accurate identification of these couplings is hindered by complex multi-frequency nonlinearities and by spurious,…

神经元与认知 · 定量生物学 2026-05-07 Alessio Basti , Rikkert Hindriks , Ruggero Freddi , Gian Luca Romani , Vittorio Pizzella , Guido Nolte , Laura Marzetti

The Unitary Events (UE) method is a popular and efficient method used this last decade to detect dependence patterns of joint spike activity among simultaneously recorded neurons. The first introduced method is based on binned coincidence…

统计理论 · 数学 2015-07-28 Julien Chevallier , Thomas Laloë

Correlation coefficients play a pivotal role in quantifying linear relationships between random variables. Yet, their application to time series data is very challenging due to temporal dependencies. This paper introduces a novel approach…

统计方法学 · 统计学 2024-01-09 Johan Medrano , Abderrahmane Kheddar , Sofiane Ramdani

Electroencephalogram (EEG) is an important diagnostic test that physicians use to record brain activity and detect seizures by monitoring the signals. There have been several attempts to detect seizures and abnormalities in EEG signals with…

机器学习 · 计算机科学 2022-03-22 Kwanhyung Lee , Hyewon Jeong , Seyun Kim , Donghwa Yang , Hoon-Chul Kang , Edward Choi

Seizure and synchronization are related to each other in complex manner. Altered synchrony has been implicated in loss of consciousness during partial seizures. However, the mechanism of altered consciousness following termination of…

神经元与认知 · 定量生物学 2018-01-30 Puneet Dheer , Sandipan Pati , Srinath Jayachandran , Kaushik Kumar Majumdar

Electroencephalography (EEG) monitors ---by either intrusive or noninvasive electrodes--- time and frequency variations and spectral content of voltage fluctuations or waves, known as brain rhythms, which in some way uncover activity during…

神经元与认知 · 定量生物学 2019-03-13 Javier A. Galadí , Joaquín J. Torres , J. Marro

This paper is motivated by a regression analysis of electroencephalography (EEG) neuroimaging data with high-dimensional correlated responses with multi-level nested correlations. We develop a divide-and-conquer procedure implemented in a…

统计方法学 · 统计学 2020-05-29 Emily C. Hector , Peter X. -K. Song