ripser

A Lean Persistent Homology Library for Python

Flexible and efficient persistent homology computation.

R pipeline for computing persistent homology in topological data analysis. See https://doi.org/10.21105/joss.00860 for more details.

R package porting Ripser-based persistent homology calculation engines from C++ via Rcpp. Currently ports Ripser (Vietoris-Rips complex) and Cubical Ripser (cubical complex).

Topological data analysis of market crashes: persistent homology of four US indices, 1992-2026. The signal measures decoupling, not crash size, and detects rather than predicts.

Code for EACL Workshop paper Can BERT eat RuCoLA? Topological Data Analysis to Explain

calculator of persistence pair for 2 dimensional pixel data

calculator of persistence pair for 3 dimensional voxel data

Self-directed curriculum for research in TDA - from PH basics to ML integration, built project-first. Accelerated by use of Claude

Topological Data Analysis for Parameter Estimation of Noisy Biexponential Decay (UD GEMS research project)

calculator of persistence pair for 4 dimensional voxel data

Practical reproduction of manifold and topological analysis of ResNet representations on CIFAR-10

Detecting Topological Precursors to Technological Breakthroughs in the USPTO Patent Citation Network. Persistent homology applied to 8.4M patents and 118M citations.

Final project for MATH-478 of Spring 2021

A Ripser add-on enabling exploration of multi-persistence of filtered metric spaces

auxiliary scripts TDA - matlab and R

A UI build around scikit's ripser module to provide more insight into persistence cohomology.

Persistent homology pipeline for detecting neural correlates of consciousness from fMRI — H0/H1/H2, Wasserstein + Müller-Lyer timelines, HMM decoding, topological transfer entropy.