secularEq

Multidimensional scaling (MDS) methods that aim at pronouncing the clustered appearance of the configuration (Rusch, Mair & Hornik, 2021, <doi:10.1080/10618600.2020.1869027>). They achieve this by transforming proximities/distances with explicit power functions and penalizing the fitting criterion with a clusteredness index, the OPTICS Cordillera (Rusch, Hornik & Mair, 2018, <doi:10.1080/10618600.2017.1349664>). There are two variants: One for finding the configuration directly (COPS-C) with given explicit power transformations and implicit ratio, interval and non-metric optimal scaling transformations (Borg & Groenen, 2005, ISBN:978-0-387-28981-6), and one for using the augmented fitting criterion to find optimal hyperparameters for the explicit transformations (P-COPS). The package contains various functions, wrappers, methods and classes for fitting, plotting and displaying a large number of different MDS models (most of the functionality in smacofx) in the COPS framework. The package further contains a function for pattern search optimization, the ``Adaptive Luus-Jaakola Algorithm'' (Rusch, Mair & Hornik, 2021,<doi:10.1080/10618600.2020.1869027>) and a functions to calculate the phi-distances for count data or histograms.

Thomas Rusch

cops

Cluster Optimized Proximity Scaling

Patrick Mair

Kurt Hornik

secularEq function

<dl><dt>a</dt>
<dd>matrix</dd>
<dt>b</dt>
<dd>matrix</dd></dl>

Arguments

Secular Equation — secularEq

<dl>

<dt>a</dt>
<dd>matrix</dd>


<dt>b</dt>
<dd>matrix</dd>

</dl>

secularEq: Secular Equation

Description

Usage

Arguments