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| author | Marc Glisse <marc.glisse@inria.fr> | 2019-11-08 21:05:19 +0100 |
|---|---|---|
| committer | Marc Glisse <marc.glisse@inria.fr> | 2019-11-08 21:05:19 +0100 |
| commit | 60c52012578265e6b6ac2e4a616cf2b617809d2c (patch) | |
| tree | e958905af656f72228f9e778464739093635d35b /src/python/doc/wasserstein_distance_sum.inc | |
| parent | 7c80dd28eb16e70316e6acc0bde8f698f79b2003 (diff) | |
| parent | db405e686cc859e510b894dca45562158cb5c963 (diff) | |
Merge remote-tracking branch 'origin/master' into sklearn_tda
Diffstat (limited to 'src/python/doc/wasserstein_distance_sum.inc')
| -rw-r--r-- | src/python/doc/wasserstein_distance_sum.inc | 14 |
1 files changed, 14 insertions, 0 deletions
diff --git a/src/python/doc/wasserstein_distance_sum.inc b/src/python/doc/wasserstein_distance_sum.inc new file mode 100644 index 00000000..ffd4d312 --- /dev/null +++ b/src/python/doc/wasserstein_distance_sum.inc @@ -0,0 +1,14 @@ +.. table:: + :widths: 30 50 20 + + +-----------------------------------------------------------------+----------------------------------------------------------------------+------------------------------------------------------------------+ + | .. figure:: | The p-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 | :Introduced in: GUDHI 3.1.0 | + | | diagonal points), where the value of a matching is defined as the | | + | Wasserstein distance is the p-th root of the sum of the | p-th root of the sum of all edge lengths to the power p. Edge lengths| :Copyright: MIT | + | edge lengths to the power p. | are measured in norm q, for :math:`1 \leq q \leq \infty`. | | + | | | :Requires: Python Optimal Transport (POT) :math:`\geq` 0.5.1 | + +-----------------------------------------------------------------+----------------------------------------------------------------------+------------------------------------------------------------------+ + | * :doc:`wasserstein_distance_user` | | + +-----------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------+ |