smoothing: Smoothing Matrix in Nonsmooth NMF Models

In NMF: Algorithms and Framework for Nonnegative Matrix Factorization (NMF)

Smoothing Matrix in Nonsmooth NMF Models

Description

The function smoothing builds a smoothing matrix for using in Nonsmooth NMF models.

Usage

  smoothing(x, theta = x@theta, ...)

Arguments

x	a object of class NMFns.
theta	the smoothing parameter (numeric) between 0 and 1.
...	extra arguments to allow extension (not used)

Details

For a r-rank NMF, the smoothing matrix of parameter \theta is built as follows:

S = (1-\theta)I + \frac{\theta}{r} 11^T ,

where I is the identity matrix and 1 is a vector of ones (cf. NMFns-class for more details).

Value

if x estimates a r-rank NMF, then the result is a r \times r square matrix.

Examples

x <- nmfModel(3, model='NMFns')
smoothing(x)
smoothing(x, 0.1)

NMF documentation built on Sept. 11, 2024, 8:34 p.m.