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| author | ROUVREAU Vincent <vincent.rouvreau@inria.fr> | 2019-05-22 09:33:44 +0200 |
|---|---|---|
| committer | ROUVREAU Vincent <vincent.rouvreau@inria.fr> | 2019-05-22 09:33:44 +0200 |
| commit | 2927abe9a4b00bd291703340daaaed7bf20f3753 (patch) | |
| tree | 156fc741c434c41fdff7c690eb8f354d582a9ff1 /src/cython/doc/rips_complex_user.rst | |
| parent | 0e17d3cc8b89fc9fae4f358bb6a8cedaeaff6f0b (diff) | |
| parent | 0c7d6ae4ddb68422e02a48b6a5575c176041d3e4 (diff) | |
Merge branch 'master' into simplex_tree_insert_duplicated_vertices_fix_vincent
Diffstat (limited to 'src/cython/doc/rips_complex_user.rst')
| -rw-r--r-- | src/cython/doc/rips_complex_user.rst | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/src/cython/doc/rips_complex_user.rst b/src/cython/doc/rips_complex_user.rst index e814b4c3..1d340dbe 100644 --- a/src/cython/doc/rips_complex_user.rst +++ b/src/cython/doc/rips_complex_user.rst @@ -50,8 +50,8 @@ by more than the length used to define "too close". A more general technique is to use a sparse approximation of the Rips introduced by Don Sheehy :cite:`sheehy13linear`. We are using the version described in :cite:`buchet16efficient` (except that we multiply all filtration -values by 2, to match the usual Rips complex), which proves a -:math:`\frac{1+\varepsilon}{1-\varepsilon}`-interleaving, although in practice the +values by 2, to match the usual Rips complex). :cite:`cavanna15geometric` proves +a :math:`\frac{1}{1-\varepsilon}`-interleaving, although in practice the error is usually smaller. A more intuitive presentation of the idea is available in :cite:`cavanna15geometric`, and in a video :cite:`cavanna15visualizing`. Passing an extra argument `sparse=0.3` at the |