• Sufficient dimension reduction
  • Functional Data Analysis
  • Machine learning
  • Graphical Models


  • Bing Li and Jun Song (2017), Nonlinear sufficient dimension reduction for functional data, (Accepted),  The Annals of Statistics, 45, 1059--1095. [link] [manuscript][supplement]

In Preparation

  • Jun Song and Bing Li (2017+), Kernel Functional Principal Component Analysis. 
  • Bing Li and Jun Song (2017+), Linear sufficient dimension reduction of functional data when both predictor and response are functions. 
  • Jun Song, Naomi S. Altman, and Kalyan Das (2017+), Self-modeling Nonlinear Poisson regression model.
  • Jun Song and Bing Li (2017+), On functional sign and rank and canonical Spearman's correlation analysis for functional data.