Module tda 

Topological Data Analysis (TDA) module

This module provides advanced TDA algorithms:

• alpha_complex: Alpha complex filtration via Bowyer-Watson Delaunay triangulation
• cubical_complex: Cubical complex persistence for image/grid data
• zigzag: Zigzag persistence for sequences of simplicial complexes
• gromov_wasserstein: Gromov-Wasserstein distance and multi-marginal OT

References

• Edelsbrunner & Harer (2010). Computational Topology.
• Carlsson (2009). Topology and Data.
• Mémoli (2011). Gromov-Wasserstein Distances.

Re-exports

pub use alpha_complex::AlphaComplex;

pub use alpha_complex::AlphaConfig;

pub use alpha_complex::Simplex;

pub use cubical_complex::CubicalCell;

pub use cubical_complex::CubicalComplex;

pub use cubical_complex::CubicalConfig;

pub use gromov_wasserstein::gromov_wasserstein;

pub use gromov_wasserstein::multi_marginal_ot;

pub use gromov_wasserstein::sinkhorn_log_stabilized;

pub use gromov_wasserstein::GwConfig;

pub use gromov_wasserstein::GwResult;

pub use zigzag::compute_zigzag;

pub use zigzag::ZigzagDirection;

pub use zigzag::ZigzagPersistence;

pub use zigzag::ZigzagStep;

pub use crate::tda_vr::PersistenceDiagram;

pub use crate::tda_vr::PersistencePoint;

pub use crate::tda_vr::VietorisRips;

Modules

alpha_complex

Alpha complex filtration for 2D point clouds

cubical_complex

Cubical complex for image and volumetric grid data.

gromov_wasserstein

Gromov-Wasserstein distance and multi-marginal optimal transport.

zigzag

Zigzag persistence for sequences of simplicial complexes.