diff options
Diffstat (limited to 'src/python/doc')
| -rw-r--r-- | src/python/doc/barycenter_sum.inc | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/src/python/doc/barycenter_sum.inc b/src/python/doc/barycenter_sum.inc index afac07d7..da2bdd84 100644 --- a/src/python/doc/barycenter_sum.inc +++ b/src/python/doc/barycenter_sum.inc @@ -7,11 +7,11 @@ | :figclass: align-center | Given a set of persistence diagrams :math:`\mu_1 \dots \mu_n`, it is | :Introduced in: GUDHI 3.1.0 | | | defined as a minimizer of the variance functional, that is of | | | Illustration of Frechet mean between persistence | :math:`\mu \mapsto \sum_{i=1}^n d_2(\mu,\mu_i)^2`. | :Copyright: MIT | - | diagrams. | where :math:`d_2` denotes the Wasserstein-2 distance between persis- | | - | | tence diagrams. | | + | diagrams. | where :math:`d_2` denotes the Wasserstein-2 distance between | | + | | persistence diagrams. | | | | It is known to exist and is generically unique. However, an exact | | - | | computation is in general untractable. Current implementation avai- | :Requires: Python Optimal Transport (POT) :math:`\geq` 0.5.1 | - | | -lable is based on [Turner et al, 2014], and uses an EM-scheme to | | + | | computation is in general untractable. Current implementation | :Requires: Python Optimal Transport (POT) :math:`\geq` 0.5.1 | + | | available is based on [Turner et al, 2014], and uses an EM-scheme to | | | | provide a local minimum of the variance functional (somewhat similar | | | | to the Lloyd algorithm to estimate a solution to the k-means | | | | problem). The local minimum returned depends on the initialization of| | |