.. table:: :widths: 30 50 20 +-----------------------------------------------------------------+----------------------------------------------------------------------+------------------------------------------------------------------+ | .. figure:: | The q-Wasserstein distance measures the similarity between two | :Author: Theo Lacombe | | ../../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 | :Introduced in: GUDHI 3.1.0 | | | barycenters of a family of persistence diagrams. | | | Wasserstein distance is the q-th root of the sum of the | | :Copyright: MIT | | edge lengths to the power q. | | | | | | :Requires: Python Optimal Transport (POT) :math:`\geq` 0.5.1 | +-----------------------------------------------------------------+----------------------------------------------------------------------+------------------------------------------------------------------+ | * :doc:`wasserstein_distance_user` | | +-----------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------+