Multiscale Cross-Recurrence Plot and Recurrence Quantification Analysis Based on Coarse-Grained

Huang, Alan; Gu, Bin; He, Cuiting

doi:10.1142/s0219477521500371

Cited by 3 publications

(1 citation statement)

References 43 publications

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“…In addition, multiscale recurrence analysis was proposed and utilized in heart rate variability [ 29 ], MEG signals of schizophrenia [ 30 ], financial time series [ 31 , 32 , 33 ], and bridge dynamics [ 34 ]. These works focus on the time length (scale) of the input data, while neglecting the threshold of the recurrence quantification analysis.…”

Section: Introductionmentioning

confidence: 99%

Multi-Threshold Recurrence Rate Plot: A Novel Methodology for EEG Analysis in Alzheimer’s Disease and Frontotemporal Dementia

Zheng,

Xiong,

Zhang

2024

Brain Sciences

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This study introduces Multi-Threshold Recurrence Rate Plots (MTRRP), a novel methodology for analyzing dynamic patterns in complex systems, such as those influenced by neurodegenerative diseases in brain activity. MTRRP characterizes how recurrence rates evolve with increasing recurrence thresholds. A key innovation of our approach, Recurrence Complexity, captures structural complexity by integrating local randomness and global structural features through the product of Recurrence Rate Gradient and Recurrence Hurst, both derived from MTRRP. We applied this technique to resting-state EEG data from patients diagnosed with Alzheimer’s Disease (AD), Frontotemporal Dementia (FTD), and age-matched healthy controls. The results revealed significantly higher recurrence complexity in the occipital areas of AD and FTD patients, particularly pronounced in the Alpha and Beta frequency bands. Furthermore, EEG features derived from MTRRP were evaluated using a Support Vector Machine with leave-one-out cross-validation, achieving a classification accuracy of 87.7%. These findings not only underscore the utility of MTRRP in detecting distinct neurophysiological patterns associated with neurodegenerative diseases but also highlight its broader applicability in time series analysis, providing a substantial tool for advancing medical diagnostics and research.

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Section: Introductionmentioning

confidence: 99%

Multi-Threshold Recurrence Rate Plot: A Novel Methodology for EEG Analysis in Alzheimer’s Disease and Frontotemporal Dementia

Zheng,

Xiong,

Zhang

2024

Brain Sciences

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Cross-Recurrence Analysis of Pressure Signals in Air-Water Two-Phase Flow

Sowndarya

Saini

Banerjee

2023

Lecture Notes in Mechanical Engineering

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Measuring Structural Changes of Recurrence Patterns in Multifractal and Multiscale Aspects by Generalized Recurrence Lacunarity

MAO,

LIU,

LIU

et al. 2024

Fractals

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Recurrence lacunarity has been recently proposed to detect dynamical state transitions over various temporal scales. In this paper, we combine suggested distribution moments and introduce multifractal recurrence lacunarity to unearth rich information of trajectories in phase space. By considering generalized moments, it provides an enhanced measurement to account for differences of black pixels in the recurrence plot at various scales. Numerical simulations have proved that the proposed method is able to differentiate varying types of time series and provide further insights of inherent features including stochastic series, chaotic maps and series contaminated interference components. In real-world applications, it performs well on quantifying the subtle structural changes of financial time series. In addition, it is intriguing to confirm that corrugation signals possess much more vivid information of heterogeneity in terms of recurrence plots than normal ones.

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Multiscale Cross-Recurrence Plot and Recurrence Quantification Analysis Based on Coarse-Grained

Cited by 3 publications

References 43 publications

Multi-Threshold Recurrence Rate Plot: A Novel Methodology for EEG Analysis in Alzheimer’s Disease and Frontotemporal Dementia

Multi-Threshold Recurrence Rate Plot: A Novel Methodology for EEG Analysis in Alzheimer’s Disease and Frontotemporal Dementia

Cross-Recurrence Analysis of Pressure Signals in Air-Water Two-Phase Flow

Measuring Structural Changes of Recurrence Patterns in Multifractal and Multiscale Aspects by Generalized Recurrence Lacunarity

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