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author | tlacombe <lacombe1993@gmail.com> | 2019-09-23 11:14:24 +0200 |
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committer | tlacombe <lacombe1993@gmail.com> | 2019-09-23 11:14:24 +0200 |
commit | 1b007fc59f08bd01e1521eb1c0773b598bdf158b (patch) | |
tree | 6a5169be2dd87c28a27cd0054a8d0cd3b251c178 /src/python/doc/wasserstein_distance_sum.inc | |
parent | 36d82a6ffe7c099da9241f7268637feaeef6bf55 (diff) |
wasserstein distance added on fork
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..0263f80f --- /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 achieve by| | + | :figclass: align-center | a perfect matching between the points of the two diagrams (+ all the | :Introduced in: GUDHI 2.0.0 | + | | 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 edges lengths to the power p. Edges | :Copyright: MIT (`GPL v3 </licensing/>`_) | + | edges lengths to the power p. | lengths are measured in norm q, for $1 \leq q \leq \infty$. | | + | | | :Requires: `Python Optimal Transport (POT)` | + +-----------------------------------------------------------------+----------------------------------------------------------------------+------------------------------------------------------------------+ + | * :doc:`wasserstein_distance_user` | | + +-----------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------+ |