Add Vietoris–Rips Lifting (Point cloud to Simplicial Complex)

[MatousE]

Adding a lifting from point cloud sets to simplicial complex (Vietoris-Rips Complex) using the Vietoris-Rips methodology. It generally works by taking a set of points and a user defined distance threshold $\epsilon$. $1$-Simplices are added between two points if the distance between them is less than or equal to $\epsilon$. Subsequently, an $n$-simplex is created if every pair of its $n+1$ vertices is connected by a $1$-simplex.

Here the implementation takes a torch_geometric Data class where positions of each point is stored in the pos attribute. A dictionary of the lifted topology is returned using an implementation of the _get_lifted_topology function from the Graph2SimplicialLifting class.

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[gbg141]

Hello @MatousE! Thank you for your submission. As we near the end of the challenge, I am collecting participant info for the purpose of selecting and announcing winners. Please email me (or have one member of your team email me) at [email protected] so I can share access to the voting form. In your email, please include:

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