Clustering Functional Data: Methods and Applications. Catherine Sugar University of Southern California [email protected] This is joint work with Gareth James of USC UCLA May 1st, 2006. Clustering and Functional Data.
Spinal Bone Mineral Density Data
Technology Evolution Curves
Membranous Nephropathy Data
high-dimensional and auto-correlated
where s(t) is a spline basis vector and i is the vector of spline coefficients.
where zi denotes cluster membership
Correlation and Covariance:
Optical bit density
Magnetic storage bit density
The figures below show a transformed distortion curve when there is (a) a single component and (b) six components in the generating mixture distribution
where 0 and k are respectively q and h dimensional vectors and is a qh matrix.