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| author | Marc Glisse <marc.glisse@inria.fr> | 2020-04-17 11:22:42 +0200 |
|---|---|---|
| committer | Marc Glisse <marc.glisse@inria.fr> | 2020-04-17 11:22:42 +0200 |
| commit | 6dcedaeb83e7aef1e1a5e20a72b6ae00651e186f (patch) | |
| tree | 908186725f317b867dd1ae00a1f6bc656e329d1f /src/python/doc/wasserstein_distance_sum.inc | |
| parent | c5c565dfd92ce1ad5b318dca40edf9429d6334c2 (diff) | |
| parent | 44996b632685eb077e61f79b1dd07d172776acb9 (diff) | |
Merge remote-tracking branch 'origin/master' into filtration
Diffstat (limited to 'src/python/doc/wasserstein_distance_sum.inc')
| -rw-r--r-- | src/python/doc/wasserstein_distance_sum.inc | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/src/python/doc/wasserstein_distance_sum.inc b/src/python/doc/wasserstein_distance_sum.inc index 0ff22035..f9308e5e 100644 --- a/src/python/doc/wasserstein_distance_sum.inc +++ b/src/python/doc/wasserstein_distance_sum.inc @@ -3,11 +3,11 @@ +-----------------------------------------------------------------+----------------------------------------------------------------------+------------------------------------------------------------------+ | .. figure:: | The q-Wasserstein distance measures the similarity between two | :Author: Theo Lacombe | - | ../../doc/Bottleneck_distance/perturb_pd.png | persistence diagrams. It's the minimum value c that can be achieved | | - | :figclass: align-center | by a perfect matching between the points of the two diagrams (+ all | :Since: GUDHI 3.1.0 | - | | diagonal points), where the value of a matching is defined as the | | - | Wasserstein distance is the q-th root of the sum of the | q-th root of the sum of all edge lengths to the power q. Edge lengths| :License: MIT | - | edge lengths to the power q. | are measured in norm p, for :math:`1 \leq p \leq \infty`. | | + | ../../doc/Bottleneck_distance/perturb_pd.png | persistence diagrams using the sum of all edges lengths (instead of | | + | :figclass: align-center | the maximum). It allows to define sophisticated objects such as | :Since: GUDHI 3.1.0 | + | | barycenters of a family of persistence diagrams. | | + | | | :License: MIT | + | | | | | | | :Requires: Python Optimal Transport (POT) :math:`\geq` 0.5.1 | +-----------------------------------------------------------------+----------------------------------------------------------------------+------------------------------------------------------------------+ | * :doc:`wasserstein_distance_user` | | |