From 20ba972d2a7fd14e564ce4adb3921f3f8190fc71 Mon Sep 17 00:00:00 2001 From: MathieuCarriere Date: Wed, 25 Mar 2020 13:00:58 -0400 Subject: update biblio --- biblio/bibliography.bib | 36 +++++++++++++++++++-------- src/Simplex_tree/include/gudhi/Simplex_tree.h | 4 +-- src/python/gudhi/simplex_tree.pyx | 2 +- 3 files changed, 29 insertions(+), 13 deletions(-) diff --git a/biblio/bibliography.bib b/biblio/bibliography.bib index 3bbe7960..b017a07e 100644 --- a/biblio/bibliography.bib +++ b/biblio/bibliography.bib @@ -7,11 +7,13 @@ } @article{Carriere17c, - author = {Carri\`ere, Mathieu and Michel, Bertrand and Oudot, Steve}, - title = {{Statistical Analysis and Parameter Selection for Mapper}}, - journal = {CoRR}, - volume = {abs/1706.00204}, - year = {2017} +author = {Carri{\`{e}}re, Mathieu and Michel, Bertrand and Oudot, Steve}, +journal = {Journal of Machine Learning Research}, +pages = {1--39}, +publisher = {JMLR.org}, +title = {{Statistical analysis and parameter selection for Mapper}}, +volume = {19}, +year = {2018} } @inproceedings{Dey13, @@ -23,11 +25,14 @@ } @article{Carriere16, - title={{Structure and Stability of the 1-Dimensional Mapper}}, - author={Carri\`ere, Mathieu and Oudot, Steve}, - journal={CoRR}, - volume= {abs/1511.05823}, - year={2015} +author = {Carri{\`{e}}re, Mathieu and Oudot, Steve}, +journal = {Foundations of Computational Mathematics}, +number = {6}, +pages = {1333--1396}, +publisher = {Springer-Verlag}, +title = {{Structure and stability of the one-dimensional Mapper}}, +volume = {18}, +year = {2017} } @inproceedings{zigzag_reflection, @@ -36,6 +41,17 @@ year = {2014 $\ \ \ \ \ \ \ \ \ \ \ $ \emph{In Preparation}}, } +@article{Cohen-Steiner2009, +author = {Cohen-Steiner, David and Edelsbrunner, Herbert and Harer, John}, +journal = {Foundations of Computational Mathematics}, +number = {1}, +pages = {79--103}, +publisher = {Springer-Verlag}, +title = {{Extending persistence using Poincar{\'{e}} and Lefschetz duality}}, +volume = {9}, +year = {2009} +} + @misc{gudhi_stpcoh, author = {Cl\'ement Maria}, title = "\textsc{Gudhi}, Simplex Tree and Persistent Cohomology Packages", diff --git a/src/Simplex_tree/include/gudhi/Simplex_tree.h b/src/Simplex_tree/include/gudhi/Simplex_tree.h index de97d6f2..60720567 100644 --- a/src/Simplex_tree/include/gudhi/Simplex_tree.h +++ b/src/Simplex_tree/include/gudhi/Simplex_tree.h @@ -51,7 +51,7 @@ namespace Gudhi { * that the simplex is the cone of an original simplex, and is thus part of the descending extended filtration) or * EXTRA (which means the simplex is the cone point). * - * Details may be found in section 2.2 in https://link.springer.com/article/10.1007/s10208-017-9370-z. + * Details may be found in \cite Cohen-Steiner2009 and section 2.2 in \cite Carriere16. * */ enum class Extended_simplex_type {UP, DOWN, EXTRA}; @@ -1507,7 +1507,7 @@ class Simplex_tree { * in the Simplex_tree. Hence, this function also outputs the type of each simplex. It can be either UP (which means * that the simplex was present originally, and is thus part of the ascending extended filtration), DOWN (which means * that the simplex is the cone of an original simplex, and is thus part of the descending extended filtration) or - * EXTRA (which means the simplex is the cone point). Note that if the simplex type is DOWN, the original filtration value + * EXTRA (which means the simplex is the cone point). See the definition of Extended_simplex_type. Note that if the simplex type is DOWN, the original filtration value * is set to be the original filtration value of the corresponding (not coned) original simplex. * \pre This function should be called only if `extend_filtration()` has been called first! * \post The output filtration value is supposed to be the same, but might be a little different, than the diff --git a/src/python/gudhi/simplex_tree.pyx b/src/python/gudhi/simplex_tree.pyx index bcb1578d..6bb22171 100644 --- a/src/python/gudhi/simplex_tree.pyx +++ b/src/python/gudhi/simplex_tree.pyx @@ -427,7 +427,7 @@ cdef class SimplexTree: 0.0. Sets min_persistence to -1.0 to see all values. :type min_persistence: float. - :returns: A list of four persistence diagrams in the format described in :func:`persistence()`. The first one is Ordinary, the second one is Relative, the third one is Extended+ and the fourth one is Extended-. See section 2.2 in https://link.springer.com/article/10.1007/s10208-017-9370-z for a description of these subtypes. + :returns: A list of four persistence diagrams in the format described in :func:`persistence()`. The first one is Ordinary, the second one is Relative, the third one is Extended+ and the fourth one is Extended-. See and https://link.springer.com/article/10.1007/s10208-008-9027-z and section 2.2 in https://link.springer.com/article/10.1007/s10208-017-9370-z for a description of these subtypes. .. note:: -- cgit v1.2.3