High Dimensionality

• Many genes
• Many features
• Many biomarkers
• 検索結果

• Sparse
  • cells with 5 markers
    • grid; one cubicle only has 1 cell in average. It is too sparse to estimate density in a regular way.
• No center, no common individuals

N <- 10^4
x <- runif(N)-0.5
y <- runif(N)-0.5

s <- which(x^2+y^2<0.5^2)

plot(x,y,pch=20,cex=1)
points(x[s],y[s],pch=20,cex=1,col="red")

n <- 1:10
r <- 0.5
vol.hypersphere <- pi^(n/2)/gamma(n/2+1) * r^n
plot(n,vol.hypersphere,pch=20,cex=3)