Witness Lifting (Point Cloud to Simplicial)

[Snopoff]

This lifting implements lifting that constructs a simplicial complex, called Witness complex, from a point cloud. The Witness complex is computed using the GUDHI library [1]. In the current implementation the Witness complex is defined over a point cloud $W$, called witnesses. From this set, a subset $L$ of landmarks is formed by randomly choosing the points.

Current implementation can only lift to a weak Euclidian Witness complex:

• weak means that $\sigma \in L$ is witnessed by $w\in W$ if $\forall l\in \sigma, \forall l' \in L: d(w,l)\leq d(w,l')$
• euclidian means that the set of witnesses and landmarks are in Euclidian space.

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[levtelyatnikov]

Please consider making the tests pass to make this submission valid for the challenge

[gbg141]

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Codecov Report

Attention: Patch coverage is 96.66667% with 2 lines in your changes missing coverage. Please review.

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Files	Patch %	Lines
modules/data/utils/utils.py	87.50%	1 Missing ⚠️
.../liftings/pointcloud2simplicial/witness_lifting.py	97.05%	1 Missing ⚠️

Additional details and impacted files

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