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The repository contains methods and applications of spatial-statistics, like Fast and Adaptive Kernel Density Estimation for Hundreds of Millions of points

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Spatial-Statistics


The repository contains methods of spatial-statistics, so far especially Kernel Density Estimation(KDE) methods.


More specifically, four bandwidth selection methods of KDE are included:

  • two fixed KDE bandwidth selection methods : rule of thumb & corss-validation based fixed KDE
  • two adaptive KDE bandwidth selection methods: cross-validation based adaptive KDE & QFA-KDE

Further more, two kinds of datasets are included for experiments:

  • POI dataset: regional clustered data/Hubei enterprise registration data POI (Li et al.,2018)
  • GPS trajectory dataset: linear clustered data

For introduction and more details of the KDE bandwodth calculation methods

please refer to the upcoming paper of Yuan on the journal of "International Journal of Geographical Information Science" (IJGIS)


A demonstration of the spatial segmentation result computed by QFA-KDE:
spatial segmentation result


The comparison results of the estimated density distribution of GPS points using four different KDE bandwidth selection methods:
 comparison results using four different KDE bandwidth selection methods
note: the bandwidths are calculated using the contained python scripts, and the heat-maps are generated using QGIS software
References: Li, F., Gui, Z., Wu, H., Gong, J., Wang, Y., Tian, S., & Zhang, J. (2018). Big enterprise registration data imputation: Supporting spatiotemporal analysis of industries in China. Computers, Environment and Urban Systems, 70, 9-23.
Yuan K, Cheng X, Gui Z, et al. A quad-tree-based fast and adaptive Kernel Density Estimation algorithm for heat-map generation[J]. International Journal of Geographical Information Science, 2019, 33(12): 2455-2476.

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The repository contains methods and applications of spatial-statistics, like Fast and Adaptive Kernel Density Estimation for Hundreds of Millions of points

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