Smoothed FPCA
We first review the definition of genetic variant profiles.18 Let t be the position of a genetic variant within a genomic region and T be the length of the genomic region being considered. For convenience, we rescale the region [0,T] to [0,1]. Because the density of genetic variants is high, we can view t as a continuous variable in the interval [0,1]. Assume that nA cases and nG controls are sampled and sequenced. We define the genotype of the ith case as