Alpha magnitude

Code for the computation of alpha magnitude, introduced in the paper "Alpha magnitude" by Miguel O'Malley, Sara Kalisnik, Nina Otter.

We also provide samples from the Cantor set, the Feigenbaum attractor as well as the unit circle.

Installation

• Install the python implementation of GUDHI.
• Download the alpha magnitude files to your root directory.

Computing alpha magnitude for a single point cloud

• Run amagrun.py and follow the instructions for file selection and bounds.
• Run plotter.py and select the file generated by amagrun.py

Computing alpha magnitude dimension for a single point cloud

• Run amagrun.py and follow the instructions for file selection and bounds.
• Run amagmulriregplot.py and select the file generated by `amagrun.py

Computing alpha magnitude dimension for subsamples

• Run amaglogspaced.py and follow the instructions for file selection and bounds.
• Run amagmultiregplot.py and select the files generated in the previous step. Note you may wish to adjust the bounds for regression estimation in the code itself.