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authorMarc Glisse <marc.glisse@inria.fr>2020-01-20 16:59:13 +0100
committerMarc Glisse <marc.glisse@inria.fr>2020-01-20 16:59:13 +0100
commit463043e08e9c8938af96d7220a6d5bb77fc064d8 (patch)
tree2b150676eeb8cfa2a0dc3f2a7a1344c1501f87b0 /src/python/doc/wasserstein_distance_sum.inc
parenta7f3167ffb465bd6d1e3b9e40bc6f1c35daf87fc (diff)
parent653b8ff129a9676d1bc69ee5231cf12f9aadd7e9 (diff)
Merge remote-tracking branch 'origin/master' into ext
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:widths: 30 50 20
+-----------------------------------------------------------------+----------------------------------------------------------------------+------------------------------------------------------------------+
- | .. figure:: | The p-Wasserstein distance measures the similarity between two | :Author: Theo Lacombe |
+ | .. 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 | :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`. | |
+ | 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| :Copyright: MIT |
+ | edge lengths to the power q. | are measured in norm p, for :math:`1 \leq p \leq \infty`. | |
| | | :Requires: Python Optimal Transport (POT) :math:`\geq` 0.5.1 |
+-----------------------------------------------------------------+----------------------------------------------------------------------+------------------------------------------------------------------+
| * :doc:`wasserstein_distance_user` | |