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Microbial characterization based on multifractal analysis of metagenomes [PDF]
Frontiers in Cellular and Infection Microbiology, 2023 IntroductionThe species diversity of microbiomes is a cutting-edge concept in metagenomic research. In this study, we propose a multifractal analysis for metagenomic research.Method and ResultsFirstly, we visualized the chaotic game representation (CGR ...
Xian-hua Xie +5 more
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A bivariate multifractal analysis approach to understanding socio-spatial segregation dynamics [PDF]
Scientific ReportsAlthough the study of multifractal properties is now an established approach for the statistical analysis of urban data, the joint multifractal analysis of several spatial signals remains largely unexplored.
Janka Lengyel +4 more
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Characterization of nanofluids using multifractal analysis of a liquid droplet trace [PDF]
Scientific Reports, 2022 The article presents an innovative approach to the analysis of nanofluids using a nonlinear multifractal algorithm. The conducted research concerned nanofluids prepared from SiO2 nanoparticles (~ 0.01 g) suspended in 100 ml of demineralized water and in ...
J. Augustyniak +7 more
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Bootstrap for Multifractal Analysis [PDF]
2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings, 2006 Multifractal analysis, which mainly consists in estimating scaling exponents, has become a popular tool for empirical data analysis. Although widely used in different applications, the statistical performance and the reliability of the estimation procedures are still poorly known.
Abry, Patrice, Wendt, Herwig
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Multifractal Analysis on the Sphere [PDF]
, 2008 A new generation of instruments in astrophysics or vision now provide spherical data. These spherical data may present a self- similarity property while no spherical analysis tool is yet available to characterize this property. In this paper we present a first numerical study of the extension of multifractal analysis onto the sphere using spherical ...
Koenig, Emilie, Chainais, Pierre
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MULTIFRACTAL CROSS WAVELET ANALYSIS [PDF]
Fractals, 2017 Complex systems are composed of mutually interacting components and the output values of these components usually exhibit long-range cross-correlations. Using wavelet analysis, we propose a method of characterizing the joint multifractal nature of these long-range cross correlations, a method we call multifractal cross wavelet analysis (MFXWT).
ZHI-QIANG JIANG +3 more
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Multifractal analysis for nutritional assessment. [PDF]
PLoS ONE, 2013 The concept of multifractality is currently used to describe self-similar and complex scaling properties observed in numerous biological signals. Fractals are geometric objects or dynamic variations which exhibit some degree of similarity (irregularity ...
Youngja Park +6 more
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Multivariate multifractal analysis
Applied and Computational Harmonic Analysis, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jaffard, Stéphane +5 more
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Multifractal analysis of mass function. [PDF]
Soft comput, 2023 In order to explore the fractal characteristic in Dempster-Shafer evidence theory, a fractal dimension of mass function is proposed recently, to reveal the invariance of scale of belief entropy. When mass function degenerates to probability, the fractal dimension is equivalent to classical Renyi information dimension only with α=1, which can measure ...
Qiang C, Li Z, Deng Y.
europepmc +3 more sources
Chinese Physics B, 2011 Multifractal detrended fluctuation analysis (MF-DFA) is a relatively new method of multifractal analysis. It is extended from detrended fluctuation analysis (DFA), which was developed for detecting the long-range correlation and the fractal properties in stationary and non-stationary time series.
Zhou, Yu, Yee, Leung, Yu, Zuguo
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