diff options
author | ROUVREAU Vincent <vincent.rouvreau@inria.fr> | 2020-05-11 08:39:11 +0200 |
---|---|---|
committer | ROUVREAU Vincent <vincent.rouvreau@inria.fr> | 2020-05-11 08:39:11 +0200 |
commit | 0ed4c3bba47d1375acb49596db2c863c38e9a090 (patch) | |
tree | a24404d9fc68ed769816afc2aff136a542a38a01 /src/python/doc/wasserstein_distance_user.rst | |
parent | b91fa852b141a5f8b4a4915849b35fbdb6993772 (diff) |
Fix #299
Diffstat (limited to 'src/python/doc/wasserstein_distance_user.rst')
-rw-r--r-- | src/python/doc/wasserstein_distance_user.rst | 15 |
1 files changed, 13 insertions, 2 deletions
diff --git a/src/python/doc/wasserstein_distance_user.rst b/src/python/doc/wasserstein_distance_user.rst index c443bab5..2d2e2ae7 100644 --- a/src/python/doc/wasserstein_distance_user.rst +++ b/src/python/doc/wasserstein_distance_user.rst @@ -17,12 +17,21 @@ are measured in norm p, for :math:`1 \leq p \leq \infty`. Distance Functions ------------------ -This first implementation uses the Python Optimal Transport library and is based -on ideas from "Large Scale Computation of Means and Cluster for Persistence + +Optimal Transport +***************** + +:Requires: `Python Optimal Transport <installation.html#python-optimal-transport>`__ (POT) :math:`\geq` 0.5.1 + +This first implementation uses the `Python Optimal Transport <installation.html#python-optimal-transport>`__ +library and is based on ideas from "Large Scale Computation of Means and Cluster for Persistence Diagrams via Optimal Transport" :cite:`10.5555/3327546.3327645`. .. autofunction:: gudhi.wasserstein.wasserstein_distance +Hera +**** + This other implementation comes from `Hera <https://bitbucket.org/grey_narn/hera/src/master/>`_ (BSD-3-Clause) which is based on "Geometry Helps to Compare Persistence Diagrams" @@ -94,6 +103,8 @@ The output is: Barycenters ----------- +:Requires: `Python Optimal Transport <installation.html#python-optimal-transport>`__ (POT) :math:`\geq` 0.5.1 + A Frechet mean (or barycenter) is a generalization of the arithmetic mean in a non linear space such as the one of persistence diagrams. Given a set of persistence diagrams :math:`\mu_1 \dots \mu_n`, it is |