faststress

<code>faststress</code> calculates value for normalized stress with different input parameters.
Distances d are optimally scaled.

Multidimensional scaling (MDS) functions for various tasks that are beyond the beta stage and way past the alpha stage.
Currently, options are available for weights, restrictions, classical scaling or principal coordinate analysis, transformations (linear, power, Box-Cox, spline, ordinal), outlier mitigation (rdop), out-of-sample estimation (predict), negative dissimilarities, fast and faster executions with low memory footprints, penalized restrictions, cross-validation-based penalty selection, supplementary variable estimation (explain), additive constant estimation, mixed measurement level distance calculation, restricted classical scaling, etc. More will come in the future.
References. Busing (2024) "A Simple Population Size Estimator for Local Minima Applied to Multidimensional Scaling". Manuscript submitted for publication.
Busing (2025) "Node Localization by Multidimensional Scaling with Iterative Majorization". Manuscript submitted for publication.
Busing (2025) "Faster Multidimensional Scaling". Manuscript in preparation.
Barroso and Busing (2025) "e-RDOP, Relative Density-Based Outlier Probabilities, Extended to Proximity Mapping". Manuscript submitted for publication.

Frank Busing

fmds

Multidimensional Scaling Development Kit

Frank M.T.A. Busing

Juan Claramunt Gonzalez

faststress function

<dl><dt>lower</dt>
<dd>an n x (n - 1 ) / 2 vector containing lower triangular part of dissimilarity matrix.</dd>
<dt>delta</dt>
<dd>an n by n square hollow matrix containing dissimilarities.</dd>
<dt>data</dt>
<dd>an n by m multivariate data matrix.</dd>
<dt>w</dt>
<dd>an identical sized matrix containing non-negative weights (all ones when omitted).</dd>
<dt>z</dt>
<dd>n by p matrix with coordinates.</dd>
<dt>d</dt>
<dd>distances between the rows of z, an n by n square hollow matrix containing Euclidean distances.</dd></dl>

Arguments

Author

Fast Stress Function — faststress

<dl>

<dt>lower</dt>
<dd>an n x (n - 1 ) / 2 vector containing lower triangular part of dissimilarity matrix.</dd>


<dt>delta</dt>
<dd>an n by n square hollow matrix containing dissimilarities.</dd>


<dt>data</dt>
<dd>an n by m multivariate data matrix.</dd>


<dt>w</dt>
<dd>an identical sized matrix containing non-negative weights (all ones when omitted).</dd>


<dt>z</dt>
<dd>n by p matrix with coordinates.</dd>


<dt>d</dt>
<dd>distances between the rows of z, an n by n square hollow matrix containing Euclidean distances.</dd>

</dl>

faststress: Fast Stress Function

Description

Usage

Value

Arguments

Author