kCRFC

This is the R code to implement the simulations and real data analysis of the following paper:

Hyunsung Kim and Yaeji Lim (2023). Functional clustering on a sphere via Riemannian functional principal components, Stat, 12(1), e557. https://doi.org/10.1002/sta4.557

Description

• functions.R : R functions to implement the proposed kCRFC and other functions are included.
• simulation_S2.R : Simulation code for the curves on a 2-dimensional sphere
• simulation_S3.R : Simulation code for the curves on a 3-dimensional sphere
• bird_bigration_clust.R : Real data clustering of Egyptian vultures in the Middle East and East Africa (2-dimensional sphere)
• medfly_clust.R : Real data clustering of compositional medfly data (3-dimensional sphere)
• clust_validation.R : Clustering validation from real data clustering of compositional medfly data (3-dimensional sphere)
• data/ : Preprocessed bird migration data is contained.
• figure/ : Figures used on the paper are contained.

Data source

• Bird migration data : You can download at the movebank repository.

• Fruit fly behaviors data : Available on the supplement material of

  Chiou, J. M., & Müller, H. G. (2014). Linear manifold modelling of multivariate functional data. Journal of the Royal Statistical Society: Series B: Statistical Methodology, 605-626.