gen_rand_vpoly

This function generates a \(d\)-dimensional polytope in V-representation with \(m\) vertices. We pick \(m\) random points from the boundary of the \(d\)-dimensional unit hypersphere as vertices.

Provides an R interface for 'volesti' C++ package. 'volesti' computes estimations of volume
of polytopes given by (i) a set of points, (ii) linear inequalities or (iii) Minkowski sum of segments
(a.k.a. zonotopes). There are three algorithms for volume estimation as well as algorithms
for sampling, rounding and rotating polytopes. Moreover, 'volesti' provides algorithms for
estimating copulas useful in computational finance. Methods implemented in 'volesti' are described
in A. Chalkis and V. Fisikopoulos (2022) <doi:10.32614/RJ-2021-077> and references therein.

Vissarion Fisikopoulos

volesti

Volume Approximation and Sampling of Convex Polytopes

Apostolos Chalkis

gen_rand_vpoly function

<dl><dt>dimension</dt>
<dd>The dimension of the convex polytope.</dd>
<dt>nvertices</dt>
<dd>The number of the vertices.</dd>
<dt>generator</dt>
<dd>A list that could contain two elements.<dl>
<dt>body </dt>
<dd>the body that the generator samples uniformly the vertices from: (i) 'cube' or (ii) 'sphere', the default value is 'sphere'.</dd></dl></dd><dt>seed </dt>
<dd>Optional. A fixed seed for the number generator.</dd>
</dl>

Arguments

Generator function for random V-polytopes — gen_rand_vpoly

<dl>

<dt>dimension</dt>
<dd>The dimension of the convex polytope.</dd>


<dt>nvertices</dt>
<dd>The number of the vertices.</dd>


<dt>generator</dt>
<dd>A list that could contain two elements.<dl>
<dt>body </dt>
<dd>the body that the generator samples uniformly the vertices from: (i) 'cube' or (ii) 'sphere', the default value is 'sphere'.</dd>

<dt>seed </dt>
<dd>Optional. A fixed seed for the number generator.</dd>


</dl></dd>

</dl>

gen_rand_vpoly: Generator function for random V-polytopes

Description

Usage

Value

Arguments

Examples