blob: 24b72c0ed03da864e39363fd419d229e09989237 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
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 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 edges lengths to the power p. Edges | :Copyright: MIT |
| edges lengths to the power p. | lengths 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` | |
+-----------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------+
|