Spacekime Analytics, Time Complexity and Inferential Uncertainty
visualization of the 2D brain (axial, sagittal and coronal) with the a...
visualization of the 3D brain with the activated areas by regions
visualization of the 3D brain with the activated areas
interactive graph object of the fMRI image
interactive graph object of 3D kime-series
post-hoc process for p values
2D comparison visualization between the p-values
comparison between 3d visualization for p-values
p-values on region of interest(ROI) of the brain
tensor-on-tensor regression on region of interest(ROI) of the brain
real-valued fMRI data simulation
fMRI data stimulus detection
visualization of the fMRI data (real, imaginary, magnitude, and phase ...
forecast the fMRI data based on the time series
GaussSmoothArray
GaussSmoothKernel
numerical method to compute inverse of Laplace Transform
inverse kimesurface transform on a function in different periodic rang...
kimesurface transform on a function with a specified set of complex va...
numerical method to compute Laplace Transform
Provide the core functionality to transform longitudinal data to complex-time (kime) data using analytic and numerical techniques, visualize the original time-series and reconstructed kime-surfaces, perform model based (e.g., tensor-linear regression) and model-free classification and clustering methods in the book Dinov, ID and Velev, MV. (2021) "Data Science: Time Complexity, Inferential Uncertainty, and Spacekime Analytics", De Gruyter STEM Series, ISBN 978-3-11-069780-3. <https://www.degruyter.com/view/title/576646>. The package includes 18 core functions which can be separated into three groups. 1) draw longitudinal data, such as Functional magnetic resonance imaging(fMRI) time-series, and forecast or transform the time-series data. 2) simulate real-valued time-series data, e.g., fMRI time-courses, detect the activated areas, report the corresponding p-values, and visualize the p-values in the 3D brain space. 3) Laplace transform and kimesurface reconstructions of the fMRI data.
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