Saturn_coefficient

Function that calculates the Saturn coefficient to quantify the quality of a UMAP dimensionality reduction

A metric expressing the quality of a UMAP layout. This is a
package that contains the Saturn_coefficient() function that reads an
input matrix, its dimensionality reduction produced by UMAP, and
evaluates the quality of this dimensionality reduction by producing a
real value in the [0; 1] interval. We call this real value Saturn
coefficient. A higher value means better dimensionality reduction; a
lower value means worse dimensionality reduction.
Reference: Davide Chicco et al. "The Saturn coefficient for evaluating
the quality of UMAP dimensionality reduction results" (2025, in preparation).

Davide Chicco

SaturnCoefficient

Statistical Evaluation of UMAP Dimensionality Reductions

Saturn_coefficient function

<dl><dt>original_matrix</dt>
<dd>input matrix</dd>
<dt>umap_output_layout</dt>
<dd>output matrix of UMAP applied to original_matrix</dd>
<dt>VERBOSE</dt>
<dd>prints some intermediate message to standard output or not</dd></dl>

Arguments

Function that calculates the Saturn coefficient to quantify the quality of a UMAP dimensionality reduction — Saturn_coefficient

<dl>

<dt>original_matrix</dt>
<dd>input matrix</dd>


<dt>umap_output_layout</dt>
<dd>output matrix of UMAP applied to original_matrix</dd>


<dt>VERBOSE</dt>
<dd>prints some intermediate message to standard output or not</dd>

</dl>

Saturn_coefficient: Function that calculates the Saturn coefficient to quantify the quality of a UMAP dimensionality reduction

Description

Usage

Value

Arguments

Examples