Ripser

To run this code, you will need to check out and compile Ripser. Start by running the following commands: git clone --recursive https://github.com/ctralie/Math412S2017.git Enter the ripser directory and run the following commands: make ripser make ripser-coeff Once these steps are complete, you can run the provided examples: TDA.py: Code to compute persistent homology using Ripser, including basic command-line wrapping and plotting functionality. SlidingWindow.py: Code for calculating sliding window embeddings for one-dimensional signals, using cos(t) + cos(pi t) as an example, and reporting persistence H1 and H2. This also shows how to compute PCA. HorseWhinnies.py: Quantifying the periodicity and quasi-periodicity of audio segments from the file horsewhinnie.wav. MusicSpeech.py: Running TDA on audio novelty features to discover rhythmic periodicity in music. The example compares travel.wav and speech.wav.