pers-hom-examples
A placeholder repo to hold widgets for my Towards Data Science persistent homology medium article.
Persistent Homology Examples
This repo exists to hold interactive html widgets referenced in my Towards Data Science article.
Unfortunately, I cannot share code, as that belongs to my employer (Geometric Data Analytics). I can say that all the code is Python.
The Persistent Homology Calculations were done using my employer’s open source Topological Data Analysis package gda-public, which is available here.
All my visualizations were generated using matplotlib and holoviews.
0d Persistent Homology Example
In the article, I include a gif showing connected components, with each color representing a unique component at a given threshold:
The widget referenced below allows you to see the thresholds covered in the gif, but with interactive control of the threshold:
Click here for the 0d peristent homology widget
1d Persistent Homology Example
In the article, I include a gif showing 1d persistence values for a noisy circle of data:
The widget referenced below allows you to see the thresholds covered in the gif, but with interactive control of the threshold:
Click here for the 1d peristent homology widget
Signal Compression Example
In the article, I include a gif showing the progressively more strict compression of a random walk:
The widget referenced below allows you to see the thresholds covered in the gif, but with interactive control of the threshold:
Click here for the signal compression widget
Height Filtration Segmentation Example
In the article, I include a static image from running the height filtration up to a specified threshold:
The widget referenced below allows you to see the connected components that form running the height filtration to aribtrary values: