From 9105db85c5b1fc303fb16216f969a3d90a5bb7c2 Mon Sep 17 00:00:00 2001 From: mcarrier Date: Thu, 23 Aug 2018 21:50:16 +0000 Subject: changed doc git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/kernels@3829 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 77b9c8a4cd00555c2930229d083a88c298c22db5 --- src/Persistence_representations/include/gudhi/Sliced_Wasserstein.h | 3 +++ 1 file changed, 3 insertions(+) (limited to 'src/Persistence_representations/include') diff --git a/src/Persistence_representations/include/gudhi/Sliced_Wasserstein.h b/src/Persistence_representations/include/gudhi/Sliced_Wasserstein.h index 6f67f7bc..2e23f69e 100644 --- a/src/Persistence_representations/include/gudhi/Sliced_Wasserstein.h +++ b/src/Persistence_representations/include/gudhi/Sliced_Wasserstein.h @@ -38,6 +38,9 @@ namespace Persistence_representations { * \ingroup Persistence_representations * * \details + * In this class, we compute infinite-dimensional representations of persistence diagrams by using the + * Sliced Wasserstein kernel (see \ref sec_persistence_kernels for more details on kernels). We recall that infinite-dimensional + * representations are defined implicitly, so only scalar products and distances are available for the representations defined in this class. * The Sliced Wasserstein kernel is defined as a Gaussian-like kernel between persistence diagrams, where the distance used for * comparison is the Sliced Wasserstein distance \f$SW\f$ between persistence diagrams, defined as the integral of the 1-norm * between the sorted projections of the diagrams onto all lines passing through the origin: -- cgit v1.2.3