Plot minimum number of dimensions needed to retain distance between samples

https://en.wikipedia.org/wiki/Johnson–Lindenstrauss_lemma

Usage

PlotJohnsonLindenstraussMinDim(listEps, minCells = 10, maxCells = 1e+06)

Arguments

listEps

List of eps to plot for

minCells

Plot range min cells to consider

maxCells

Plot range max cells to consider

Value

A ggplot object

Details

(1 - eps) ||u - v||^2 < ||p(u) - p(v)||^2 < (1 + eps) ||u - v||^2