diff options
| author | tlacombe <lacombe1993@gmail.com> | 2019-12-05 18:52:16 +0100 |
|---|---|---|
| committer | tlacombe <lacombe1993@gmail.com> | 2019-12-05 18:52:16 +0100 |
| commit | 56a9294ede73d0660ba724b4f448c02dcd5e3dcc (patch) | |
| tree | b8aab2160c54cac0e396679fd7268d0f1f71c88d /src/python/doc | |
| parent | 80aa14d1b92d1a61366d798b07073289d4db4fda (diff) | |
added image for barycenter in the /img repository
Diffstat (limited to 'src/python/doc')
| -rw-r--r-- | src/python/doc/barycenter_sum.inc | 6 | ||||
| -rw-r--r-- | src/python/doc/img/barycenter.png | bin | 0 -> 12433 bytes |
2 files changed, 4 insertions, 2 deletions
diff --git a/src/python/doc/barycenter_sum.inc b/src/python/doc/barycenter_sum.inc index 7801a845..afac07d7 100644 --- a/src/python/doc/barycenter_sum.inc +++ b/src/python/doc/barycenter_sum.inc @@ -3,7 +3,7 @@ +-----------------------------------------------------------------+----------------------------------------------------------------------+------------------------------------------------------------------+ | .. figure:: | A Frechet mean (or barycenter) is a generalization of the arithmetic | :Author: Theo Lacombe | - | ../../doc/Barycenter/barycenter.png | mean in a non linear space such as the one of persistence diagrams. | | + | ./img/barycenter.png | mean in a non linear space such as the one of persistence diagrams. | | | :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 | @@ -14,7 +14,9 @@ | | -lable 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 combinatorial structure of the algorithm limits its | | + | | problem). The local minimum returned depends on the initialization of| | + | | the barycenter. | | + | | The combinatorial structure of the algorithm limits its | | | | scaling on large scale problems (thousands of diagrams and of points | | | | per diagram). | | +-----------------------------------------------------------------+----------------------------------------------------------------------+------------------------------------------------------------------+ diff --git a/src/python/doc/img/barycenter.png b/src/python/doc/img/barycenter.png Binary files differnew file mode 100644 index 00000000..cad6af70 --- /dev/null +++ b/src/python/doc/img/barycenter.png |
