diff options
Diffstat (limited to 'src/Persistence_representations/include/gudhi/Sliced_Wasserstein.h')
| -rw-r--r-- | src/Persistence_representations/include/gudhi/Sliced_Wasserstein.h | 3 |
1 files changed, 3 insertions, 0 deletions
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: |