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Hyperspectral redundancy detection and modeling with local Hurst exponent

Author

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  • Li, Jianhui
  • Li, Qiaozhi
  • Wang, Fang
  • Liu, Fan

Abstract

Hyperspectral reflectance means a curve in a range of certain wavelength, the complex dynamic structure of which reflects the rich information of an object at different bands, which is often used as various modeling inputs. However, the potential redundancy associating with the information mentioned above will have serious impacts for the accurate extraction of spectral features. Thus, detecting information redundancy is a critical processing for the spectral analysis. By using the local detrended fluctuation analysis, we propose a new method detecting the redundant bands, which focuses on the spectral auto-correlation represented by local Hurst exponent in the moving windows, and the redundant bands can be defined through comparing the auto-correlation between two adjacent windows. Finally, with the fractal feature of the removing redundant bands as the augment, the rapeseed oleic acid prediction model based on the random decision forest is constructed to test our method. For the purpose of comparing, the same feature as the original spectrum is also employed as the augment for the model. The testing result shows that the feature obtained by removing the redundant bands has better performance over the feature of the original spectrum.

Suggested Citation

  • Li, Jianhui & Li, Qiaozhi & Wang, Fang & Liu, Fan, 2022. "Hyperspectral redundancy detection and modeling with local Hurst exponent," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 592(C).
  • Handle: RePEc:eee:phsmap:v:592:y:2022:i:c:s0378437121009924
    DOI: 10.1016/j.physa.2021.126830
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    References listed on IDEAS

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    1. Qingju Fan & Dan Li & Guang Ling & Fang Wang & Shuanggui Liu, 2021. "Effect Of Filters On Multivariate Multifractal Detrended Fluctuation Analysis," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-12, May.
    2. Yin, Yi & Shang, Pengjian, 2016. "Forecasting traffic time series with multivariate predicting method," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 266-278.
    3. Ge, Xinlei & Lin, Aijing, 2021. "Multiscale multifractal detrended partial cross-correlation analysis of Chinese and American stock markets," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    4. Zhao, Huan & He, Shaofang, 2016. "Analysis of speech signals’ characteristics based on MF-DFA with moving overlapping windows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 343-349.
    5. Pavlov, A.N. & Runnova, A.E. & Maksimenko, V.A. & Pavlova, O.N. & Grishina, D.S. & Hramov, A.E., 2018. "Detrended fluctuation analysis of EEG patterns associated with real and imaginary arm movements," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 777-782.
    6. B. Podobnik & I. Grosse & D. Horvatić & S. Ilic & P. Ch. Ivanov & H. E. Stanley, 2009. "Quantifying cross-correlations using local and global detrending approaches," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(2), pages 243-250, September.
    7. Wang, Qizhen & Zhu, Yingming & Yang, Liansheng & Mul, Remco A.H., 2017. "Coupling detrended fluctuation analysis of Asian stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 337-350.
    8. Zhang, Xie & Liu, Hongzhi & Zhao, Yifei & Zhang, Xingchen, 2019. "Multifractal detrended fluctuation analysis on air traffic flow time series: A single airport case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    9. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
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