dpmmDistance {genMCMCDiag}

DPMM Distance

Description

For an MCMC draw from a DPMM D_x, let Z_x be the vector of Z-scores of the observations based on that observation's current group, and let A_x be the 0,1 adjacency matrix where

[A_x]_{ij} = 1

if observations i and j are in the same group in draw D_x (so the diagonal is always 1s). Then we define the DPMM distance between D_x and D_y as:

d(D_x, D_y) = |Z_x - Z_y|^T(|A_x - A_y| + I)|Z_x - Z_y|.

Usage

dpmmDistance(x, y)

Arguments

x

List with elements 'Zscore' and 'Adj'

y

List with elements 'Zscore' and 'Adj', both of same dimensions as in x.

Value

Numeric, DPMM distance between x and y.

Note

For speed, no error handling if x and y do not have the same dimensions. The function will break if 'Zscore' or 'Adj' doesn't exist though.