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| author | ROUVREAU Vincent <vincent.rouvreau@inria.fr> | 2019-06-12 07:43:43 +0200 |
|---|---|---|
| committer | ROUVREAU Vincent <vincent.rouvreau@inria.fr> | 2019-06-12 07:43:43 +0200 |
| commit | c65eba306f7fe2777f8851edb9fcb2d2592c27d2 (patch) | |
| tree | 859605631b2560b22fdc51c450bf83912c2fca39 /src/cython/doc/rips_complex_user.rst | |
| parent | 7e8685458f684f347b2aa6a77a288c249c722f25 (diff) | |
| parent | f58f0bb2cb99076d0cd3a11ad39f3277213e3f5e (diff) | |
Merge branch 'master' into persistence_intervals_numpy_arrays_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 |