•  Instructor: Donatello Telesca

  • Lecture: TR 3:00pm-4:50pm, Zoom

  • Office Hours: By appointment, Zoom


Projects

  • Project 1 [Due 1/28/2021]

  • Project 2 [Due 2/25/2021] - This project is optional, but I encourage your to attempt a solution before it is discussed in class.

Final project topics [Instructions.pdf]

  • Sparse FPCA

  • Bayesian FPCA

  • Curve Registration and Alignment Issues

  • Structured Functional Data, e.g. longitudinal functional, spatial functional, multivariate functional, …

  • Clustering Functional Data

  • Classification using Functional Predictors


Schedule of Lectures



Coursework

  • 60%: Two take-home projects

  • 40%: Final project [Due March 19]



Reading List

  • Kokoszka P. and Reimherr M. Introduction to Functional Data Analysis. CRC Press. [IFDA]

  • Hsing T. and Eubank R. Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators. Wiley.

Manuscripts

  • Xiao L, Li, Y, Ruppert D. (2013) Fast bivariate P-splines: the sandwich smoother. JRSS-B.

  • Xiao L, Zipunnikov V, Ruppert D, Crainiceanu C. (2016). Fast covariance estimation for high-dimensional functional data. Statistics and Computing.

  • Yao F, Muller HG, Wang JL. (2005) Functional data analysis for sparse longitudinal data. JASA.

  • Goldsmith et al. (2011) Penalized Functional Regression. JCGS.

  • Scheipl et al. (2015) Functional Additive Mixed Models. JCGS.

  • Suarez and Goshal, (2014) Bayesian Estimation of Principal Components for Functional Data. Bayesian Analysis.

  • Montagna et Al. (2012) Bayesian Latent Factor Regression for Functional and Longitudinal Data. Biometrics.

  • Happ C and Greven S (2018) Multivariate Functional Principal Component Analysis for Data Observed on Different (Dimensional) Domains. JASA

  • Chen, K., Delicado, P., Müller, H.G. (2017). Modeling function-valued stochastic processes, with applications to fertility dynamics. J. Royal Statistical Society B.