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We report some computational results comparing parallel and sequential codes for vertex/facet enumeration problems for convex polyhedra. The problems chosen span the range from simple to highly degenerate polytopes. We tested one code (lrs) based on pivoting and four codes (cddr+, ppl, normaliz, PORTA) based on the double description method. normaliz employs parallelization as do the codes plrs and mplrs which are based on lrs. We tested these codes using various hardware configurations with up to 1200 cores. Major speedups were obtained by parallelization, particularly by the code mplrs which uses MPI and can operate on clusters of machines.
We describe a new parallel implementation, mplrs, of the vertex enumeration code lrs that uses the MPI parallel environment and can be run on a network of computers. The implementation makes use of a C wrapper that essentially uses the existing lrs c
The adoption of neural networks and deep learning in non-Euclidean domains has been hindered until recently by the lack of scalable and efficient learning frameworks. Existing toolboxes in this space were mainly motivated by research and education us
In this paper, we address computational questions surrounding the enumeration of non-isomorphic Andre planes for any prime power order. We are particularly focused on providing a complete enumeration of all such planes for relatively small orders (up
Computation of the vertices of the convex hull of a set $S$ of $n$ points in $mathbb{R} ^m$ is a fundamental problem in computational geometry, optimization, machine learning and more. We present All Vertex Triangle Algorithm (AVTA), a robust and eff
Important computational physics problems are often large-scale in nature, and it is highly desirable to have robust and high performing computational frameworks that can quickly address these problems. However, it is no trivial task to determine whet