FusedPCA (version 0.2)

fused.trans: The graph based penalty transformation matrix

Description

Get the graph based penalty transformation matrix, i.e. $D_p$ in $p_{\lambda}(\beta) = \lambda\|D_p\beta\|_1.$

Usage

fused.trans(A)

Arguments

A

input matrix -- adjacency matrix of an observed graph based on the non-isolated nodes, of dimension n.noniso x n.noniso, where n.noniso is the number of the non-isolated nodes.

Value

the graph based penalty transformation matrix, of dimension $|E| \times n$, where $|E|$ is the number of edges in the graph and $n$ is the number of nodes.

References

Yang Feng, Richard J. Samworth and Yi Yu, Community Detection via Fused Principal Component Analysis, manuscript.

Examples

## to generate an adjacency matrix
A = matrix(c(0,1,1,1,0,0,1,0,0), byrow = TRUE, ncol = 3)

## have a look at A
A

## the graph based transformation matrix
fused.trans(A)