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| author | Vincent Rouvreau <VincentRouvreau@users.noreply.github.com> | 2019-05-22 08:21:15 +0200 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2019-05-22 08:21:15 +0200 |
| commit | 0c7d6ae4ddb68422e02a48b6a5575c176041d3e4 (patch) | |
| tree | 3565472af8636cf8fe6dac525fd0eae3711cc1ff /src/cython/doc/rips_complex_user.rst | |
| parent | a33d17ebb1a5f7c830ee155ec2733a0f48211010 (diff) | |
| parent | fe2f26629481faf316c74dafa7eae892bbc7a556 (diff) | |
Merge pull request #49 from mglisse/sparsev3
All seems good to me and the new interface (with min and max) will allow to benchmark it with Strong collapse.
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 |