1. Introduction to the functional data analysis.
2. Tools for exploring functional data:
a. Functional mean and variance.
b. Covariance and correlation functions.
c. Cross-covariance and cross-correlation functions.
3. From functional data to smooth functions:
a. Basis functions.
b. Smoothing functional data by least-squares.
c. Smoothing functional data with a roughness penalty.
4. Principal component analysis for functional data:
a. Defining functional PCA.
b. Visualizing the results.
c. Computational methods for functional PCA.
d. Regularized PCA.
5. Regression for functional data:
a. Functional linear models with scalar responses.
b. Functional linear models with functional responses.
6. Supervised classification for functional data:
a. k-nearest neighbors.
7. Unsupervised classification for functional data
1. k-means.