Higher Dimensional Simplex Visualizations

[raunaak]

Hi KMapper Team,

This is a great library for TDA applications. Really helped me a lot!! I have checked lots of examples but I only find nodes connected by edges and not any surfaces (or higher dimensional equivalents). For example, if 3 nodes have common intersection of data points above threshold, then there should a "filled" triangle to represent it rather than an "empty" triangle. Could you please tell why does this happen?

Thank you,
Raunak

[sauln]

Hi Raunak, In practice computing the complete nerve is computationally expensive, hard to visualize, and it's not clear if it has much benefits. Most applications of Mapper that I've seen use just the 1-skeleton. I have manually built the 2-skeleton before, but that code is not available.

If you'd like to write a Nerve class that handles higher order intersections, we would gladly incorporate it into the package.

Cheers,

[hfr1tz3]

Hi KMapper Team,

I have written such a Nerve class (Simplicial Nerve) which can handle 2-dimensional intersections. Could I make a pull-request to add this class? Additionally, I am interested in actually constructing 2-dimensional mapper graphs which have 2-simplices visualized in the output. Would this be something the team would like added to the package?

Best,
Halley