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-rw-r--r--src/python/doc/alpha_complex_sum.inc28
-rw-r--r--src/python/doc/cubical_complex_user.rst4
-rw-r--r--src/python/doc/fileformats.rst2
-rw-r--r--src/python/doc/installation.rst84
-rw-r--r--src/python/doc/nerve_gic_complex_user.rst2
-rw-r--r--src/python/doc/persistence_graphical_tools_sum.inc22
-rw-r--r--src/python/doc/persistence_graphical_tools_user.rst9
-rw-r--r--src/python/doc/point_cloud.rst2
-rw-r--r--src/python/doc/point_cloud_sum.inc21
-rw-r--r--src/python/doc/representations_sum.inc22
-rw-r--r--src/python/doc/wasserstein_distance_user.rst15
11 files changed, 116 insertions, 95 deletions
diff --git a/src/python/doc/alpha_complex_sum.inc b/src/python/doc/alpha_complex_sum.inc
index 9e6414d0..74331333 100644
--- a/src/python/doc/alpha_complex_sum.inc
+++ b/src/python/doc/alpha_complex_sum.inc
@@ -1,17 +1,17 @@
.. table::
:widths: 30 40 30
- +----------------------------------------------------------------+------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------+
- | .. figure:: | Alpha complex is a simplicial complex constructed from the finite | :Author: Vincent Rouvreau |
- | ../../doc/Alpha_complex/alpha_complex_representation.png | cells of a Delaunay Triangulation. | |
- | :alt: Alpha complex representation | | :Since: GUDHI 2.0.0 |
- | :figclass: align-center | The filtration value of each simplex is computed as the **square** of | |
- | | the circumradius of the simplex if the circumsphere is empty (the | :License: MIT (`GPL v3 </licensing/>`_) |
- | | simplex is then said to be Gabriel), and as the minimum of the | |
- | | filtration values of the codimension 1 cofaces that make it not | :Requires: `Eigen <installation.html#eigen>`__ :math:`\geq` 3.1.0 and `CGAL <installation.html#cgal>`__ :math:`\geq` 4.11.0 |
- | | Gabriel otherwise. | |
- | | | |
- | | For performances reasons, it is advised to use CGAL ≥ 5.0.0. | |
- +----------------------------------------------------------------+------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------+
- | * :doc:`alpha_complex_user` | * :doc:`alpha_complex_ref` |
- +----------------------------------------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
+ +----------------------------------------------------------------+-------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------+
+ | .. figure:: | Alpha complex is a simplicial complex constructed from the finite | :Author: Vincent Rouvreau |
+ | ../../doc/Alpha_complex/alpha_complex_representation.png | cells of a Delaunay Triangulation. | |
+ | :alt: Alpha complex representation | | :Since: GUDHI 2.0.0 |
+ | :figclass: align-center | The filtration value of each simplex is computed as the **square** of | |
+ | | the circumradius of the simplex if the circumsphere is empty (the | :License: MIT (`GPL v3 </licensing/>`_) |
+ | | simplex is then said to be Gabriel), and as the minimum of the | |
+ | | filtration values of the codimension 1 cofaces that make it not | :Requires: `Eigen <installation.html#eigen>`__ :math:`\geq` 3.1.0 and `CGAL <installation.html#cgal>`__ :math:`\geq` 4.11.0 |
+ | | Gabriel otherwise. | |
+ | | | |
+ | | For performances reasons, it is advised to use CGAL :math:`\geq` 5.0.0. | |
+ +----------------------------------------------------------------+-------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------+
+ | * :doc:`alpha_complex_user` | * :doc:`alpha_complex_ref` |
+ +----------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
diff --git a/src/python/doc/cubical_complex_user.rst b/src/python/doc/cubical_complex_user.rst
index e4733653..e6e61d75 100644
--- a/src/python/doc/cubical_complex_user.rst
+++ b/src/python/doc/cubical_complex_user.rst
@@ -91,7 +91,7 @@ Currently one input from a text file is used. It uses a format inspired from the
we allow any filtration values. As a consequence one cannot use ``-1``'s to indicate missing cubes. If you have
missing cubes in your complex, please set their filtration to :math:`+\infty` (aka. ``inf`` in the file).
-The file format is described in details in :ref:`Perseus file format` file format section.
+The file format is described in details in `Perseus file format <fileformats.html#perseus>`__ section.
.. testcode::
@@ -120,7 +120,7 @@ conditions are imposed in all directions, then complex :math:`\mathcal{K}` becam
various constructors from the file Bitmap_cubical_complex_periodic_boundary_conditions_base.h to construct cubical
complex with periodic boundary conditions.
-One can also use Perseus style input files (see :doc:`Perseus <fileformats>`) for the specific periodic case:
+One can also use Perseus style input files (see `Perseus file format <fileformats.html#perseus>`__) for the specific periodic case:
.. testcode::
diff --git a/src/python/doc/fileformats.rst b/src/python/doc/fileformats.rst
index 345dfdba..ae1b00f3 100644
--- a/src/python/doc/fileformats.rst
+++ b/src/python/doc/fileformats.rst
@@ -80,8 +80,6 @@ Here is a simple sample file in the 3D case::
1. 1. 1.
-.. _Perseus file format:
-
Perseus
*******
diff --git a/src/python/doc/installation.rst b/src/python/doc/installation.rst
index 09a843d5..d72e91b5 100644
--- a/src/python/doc/installation.rst
+++ b/src/python/doc/installation.rst
@@ -12,8 +12,8 @@ The easiest way to install the Python version of GUDHI is using
Compiling
*********
-The library uses c++14 and requires `Boost <https://www.boost.org/>`_ ≥ 1.56.0,
-`CMake <https://www.cmake.org/>`_ ≥ 3.1 to generate makefiles,
+The library uses c++14 and requires `Boost <https://www.boost.org/>`_ :math:`\geq` 1.56.0,
+`CMake <https://www.cmake.org/>`_ :math:`\geq` 3.1 to generate makefiles,
`NumPy <http://numpy.org>`_, `Cython <https://www.cython.org/>`_ and
`pybind11 <https://github.com/pybind/pybind11>`_ to compile
the GUDHI Python module.
@@ -21,7 +21,7 @@ It is a multi-platform library and compiles on Linux, Mac OSX and Visual
Studio 2017.
On `Windows <https://wiki.python.org/moin/WindowsCompilers>`_ , only Python
-≥ 3.5 are available because of the required Visual Studio version.
+:math:`\geq` 3.5 are available because of the required Visual Studio version.
On other systems, if you have several Python/python installed, the version 2.X
will be used by default, but you can force it by adding
@@ -30,7 +30,8 @@ will be used by default, but you can force it by adding
GUDHI Python module compilation
===============================
-To build the GUDHI Python module, run the following commands in a terminal:
+After making sure that the `Compilation dependencies`_ are properly installed,
+one can build the GUDHI Python module, by running the following commands in a terminal:
.. code-block:: bash
@@ -188,8 +189,14 @@ Run the following commands in a terminal:
Optional third-party library
****************************
+Compilation dependencies
+========================
+
+These third party dependencies are detected by `CMake <https://www.cmake.org/>`_.
+They have to be installed before performing the `GUDHI Python module compilation`_.
+
CGAL
-====
+----
Some GUDHI modules (cf. :doc:`modules list </index>`), and few examples
require `CGAL <https://www.cgal.org/>`_, a C++ library that provides easy
@@ -200,7 +207,7 @@ The procedure to install this library
according to your operating system is detailed
`here <http://doc.cgal.org/latest/Manual/installation.html>`_.
-The following examples requires CGAL version ≥ 4.11.0:
+The following examples requires CGAL version :math:`\geq` 4.11.0:
.. only:: builder_html
@@ -211,23 +218,15 @@ The following examples requires CGAL version ≥ 4.11.0:
* :download:`euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py <../example/euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py>`
* :download:`euclidean_witness_complex_diagram_persistence_from_off_file_example.py <../example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py>`
-EagerPy
-=======
-
-Some Python functions can handle automatic differentiation (possibly only when
-a flag `enable_autodiff=True` is used). In order to reduce code duplication, we
-use `EagerPy <https://eagerpy.jonasrauber.de/>`_ which wraps arrays from
-PyTorch, TensorFlow and JAX in a common interface.
-
Eigen
-=====
+-----
Some GUDHI modules (cf. :doc:`modules list </index>`), and few examples
require `Eigen <http://eigen.tuxfamily.org/>`_, a C++ template
library for linear algebra: matrices, vectors, numerical solvers, and related
algorithms.
-The following examples require `Eigen <http://eigen.tuxfamily.org/>`_ version ≥ 3.1.0:
+The following examples require `Eigen <http://eigen.tuxfamily.org/>`_ version :math:`\geq` 3.1.0:
.. only:: builder_html
@@ -237,15 +236,39 @@ The following examples require `Eigen <http://eigen.tuxfamily.org/>`_ version â‰
* :download:`euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py <../example/euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py>`
* :download:`euclidean_witness_complex_diagram_persistence_from_off_file_example.py <../example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py>`
+Threading Building Blocks
+-------------------------
+
+`Intel® TBB <https://www.threadingbuildingblocks.org/>`_ lets you easily write
+parallel C++ programs that take full advantage of multicore performance, that
+are portable and composable, and that have future-proof scalability.
+
+Having Intel® TBB installed is recommended to parallelize and accelerate some
+GUDHI computations.
+
+Run time dependencies
+=====================
+
+These third party dependencies are detected by Python `import` mechanism at run time.
+They can be installed when required.
+
+EagerPy
+-------
+
+Some Python functions can handle automatic differentiation (possibly only when
+a flag `enable_autodiff=True` is used). In order to reduce code duplication, we
+use `EagerPy <https://eagerpy.jonasrauber.de/>`_ which wraps arrays from
+PyTorch, TensorFlow and JAX in a common interface.
+
Hnswlib
-=======
+-------
:class:`~gudhi.point_cloud.knn.KNearestNeighbors` can use the Python package
`Hnswlib <https://github.com/nmslib/hnswlib>`_ as a backend if explicitly
requested, to speed-up queries.
Matplotlib
-==========
+----------
The :doc:`persistence graphical tools </persistence_graphical_tools_user>`
module requires `Matplotlib <http://matplotlib.org>`_, a Python 2D plotting
@@ -267,49 +290,46 @@ The following examples require the `Matplotlib <http://matplotlib.org>`_:
* :download:`euclidean_witness_complex_diagram_persistence_from_off_file_example.py <../example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py>`
PyKeOps
-=======
+-------
:class:`~gudhi.point_cloud.knn.KNearestNeighbors` can use the Python package
`PyKeOps <https://www.kernel-operations.io/keops/python/>`_ as a backend if
explicitly requested, to speed-up queries using a GPU.
Python Optimal Transport
-========================
+------------------------
The :doc:`Wasserstein distance </wasserstein_distance_user>`
module requires `POT <https://pot.readthedocs.io/>`_, a library that provides
several solvers for optimization problems related to Optimal Transport.
PyTorch
-=======
+-------
`PyTorch <https://pytorch.org/>`_ is currently only used as a dependency of
`PyKeOps`_, and in some tests.
Scikit-learn
-============
+------------
The :doc:`persistence representations </representations>` module require
`scikit-learn <https://scikit-learn.org/>`_, a Python-based ecosystem of
open-source software for machine learning.
+:class:`~gudhi.point_cloud.knn.KNearestNeighbors` can use the Python package
+`scikit-learn <https://scikit-learn.org/>`_ as a backend if explicitly
+requested.
+
SciPy
-=====
+-----
The :doc:`persistence graphical tools </persistence_graphical_tools_user>` and
:doc:`Wasserstein distance </wasserstein_distance_user>` modules require `SciPy
<http://scipy.org>`_, a Python-based ecosystem of open-source software for
mathematics, science, and engineering.
-Threading Building Blocks
-=========================
-
-`Intel® TBB <https://www.threadingbuildingblocks.org/>`_ lets you easily write
-parallel C++ programs that take full advantage of multicore performance, that
-are portable and composable, and that have future-proof scalability.
-
-Having Intel® TBB installed is recommended to parallelize and accelerate some
-GUDHI computations.
+:class:`~gudhi.point_cloud.knn.KNearestNeighbors` can use the Python package
+`SciPy <http://scipy.org>`_ as a backend if explicitly requested.
Bug reports and contributions
*****************************
diff --git a/src/python/doc/nerve_gic_complex_user.rst b/src/python/doc/nerve_gic_complex_user.rst
index 9101f45d..d5c5438d 100644
--- a/src/python/doc/nerve_gic_complex_user.rst
+++ b/src/python/doc/nerve_gic_complex_user.rst
@@ -13,7 +13,7 @@ Visualizations of the simplicial complexes can be done with either
neato (from `graphviz <http://www.graphviz.org/>`_),
`geomview <http://www.geomview.org/>`_,
`KeplerMapper <https://github.com/MLWave/kepler-mapper>`_.
-Input point clouds are assumed to be OFF files (cf. :doc:`fileformats`).
+Input point clouds are assumed to be OFF files (cf. `OFF file format <fileformats.html#off-file-format>`__).
Covers
------
diff --git a/src/python/doc/persistence_graphical_tools_sum.inc b/src/python/doc/persistence_graphical_tools_sum.inc
index b68d3d7e..0f41b420 100644
--- a/src/python/doc/persistence_graphical_tools_sum.inc
+++ b/src/python/doc/persistence_graphical_tools_sum.inc
@@ -1,14 +1,14 @@
.. table::
:widths: 30 40 30
- +-----------------------------------------------------------------+-----------------------------------------------------------------------+-----------------------------------------------+
- | .. figure:: | These graphical tools comes on top of persistence results and allows | :Author: Vincent Rouvreau, Theo Lacombe |
- | img/graphical_tools_representation.png | the user to display easily persistence barcode, diagram or density. | |
- | | | :Since: GUDHI 2.0.0 |
- | | Note that these functions return the matplotlib axis, allowing | |
- | | for further modifications (title, aspect, etc.) | :License: MIT |
- | | | |
- | | | :Requires: matplotlib, numpy and scipy |
- +-----------------------------------------------------------------+-----------------------------------------------------------------------+-----------------------------------------------+
- | * :doc:`persistence_graphical_tools_user` | * :doc:`persistence_graphical_tools_ref` |
- +-----------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------+
+ +-----------------------------------------------------------------+-----------------------------------------------------------------------+----------------------------------------------------------+
+ | .. figure:: | These graphical tools comes on top of persistence results and allows | :Author: Vincent Rouvreau, Theo Lacombe |
+ | img/graphical_tools_representation.png | the user to display easily persistence barcode, diagram or density. | |
+ | | | :Since: GUDHI 2.0.0 |
+ | | Note that these functions return the matplotlib axis, allowing | |
+ | | for further modifications (title, aspect, etc.) | :License: MIT |
+ | | | |
+ | | | :Requires: `Matplotlib <installation.html#matplotlib>`__ |
+ +-----------------------------------------------------------------+-----------------------------------------------------------------------+----------------------------------------------------------+
+ | * :doc:`persistence_graphical_tools_user` | * :doc:`persistence_graphical_tools_ref` |
+ +-----------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------+
diff --git a/src/python/doc/persistence_graphical_tools_user.rst b/src/python/doc/persistence_graphical_tools_user.rst
index 91e52703..fce628b1 100644
--- a/src/python/doc/persistence_graphical_tools_user.rst
+++ b/src/python/doc/persistence_graphical_tools_user.rst
@@ -12,9 +12,6 @@ Definition
Show persistence as a barcode
-----------------------------
-.. note::
- this function requires matplotlib and numpy to be available
-
This function can display the persistence result as a barcode:
.. plot::
@@ -36,9 +33,6 @@ This function can display the persistence result as a barcode:
Show persistence as a diagram
-----------------------------
-.. note::
- this function requires matplotlib and numpy to be available
-
This function can display the persistence result as a diagram:
.. plot::
@@ -73,8 +67,7 @@ of shape (N x 2) encoding a persistence diagram (in a given dimension).
Persistence density
-------------------
-.. note::
- this function requires matplotlib, numpy and scipy to be available
+:Requires: `SciPy <installation.html#scipy>`__
If you want more information on a specific dimension, for instance:
diff --git a/src/python/doc/point_cloud.rst b/src/python/doc/point_cloud.rst
index 192f70db..523a9dfa 100644
--- a/src/python/doc/point_cloud.rst
+++ b/src/python/doc/point_cloud.rst
@@ -16,6 +16,8 @@ File Readers
Subsampling
-----------
+:Requires: `Eigen <installation.html#eigen>`__ :math:`\geq` 3.1.0 and `CGAL <installation.html#cgal>`__ :math:`\geq` 4.11.0
+
.. automodule:: gudhi.subsampling
:members:
:special-members:
diff --git a/src/python/doc/point_cloud_sum.inc b/src/python/doc/point_cloud_sum.inc
index d4761aba..4315cea6 100644
--- a/src/python/doc/point_cloud_sum.inc
+++ b/src/python/doc/point_cloud_sum.inc
@@ -1,15 +1,12 @@
.. table::
:widths: 30 40 30
- +----------------------------------------------------------------+------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------+
- | | :math:`(x_1, x_2, \ldots, x_d)` | Utilities to process point clouds: read from file, subsample, | :Authors: Vincent Rouvreau, Marc Glisse, Masatoshi Takenouchi |
- | | :math:`(y_1, y_2, \ldots, y_d)` | find neighbors, embed time series in higher dimension, etc. | |
- | | | :Since: GUDHI 2.0.0 |
- | | | |
- | | | :License: MIT (`GPL v3 </licensing/>`_, BSD-3-Clause, Apache-2.0) |
- | | Parts of this package require CGAL. | |
- | | | :Requires: `Eigen <installation.html#eigen>`__ :math:`\geq` 3.1.0 and `CGAL <installation.html#cgal>`__ :math:`\geq` 4.11.0 |
- | | | |
- +----------------------------------------------------------------+------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------+
- | * :doc:`point_cloud` |
- +----------------------------------------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
+ +-----------------------------------+---------------------------------------------------------------+-------------------------------------------------------------------+
+ | | :math:`(x_1, x_2, \ldots, x_d)` | Utilities to process point clouds: read from file, subsample, | :Authors: Vincent Rouvreau, Marc Glisse, Masatoshi Takenouchi |
+ | | :math:`(y_1, y_2, \ldots, y_d)` | find neighbors, embed time series in higher dimension, etc. | |
+ | | | :Since: GUDHI 2.0.0 |
+ | | | |
+ | | | :License: MIT (`GPL v3 </licensing/>`_, BSD-3-Clause, Apache-2.0) |
+ +-----------------------------------+---------------------------------------------------------------+-------------------------------------------------------------------+
+ | * :doc:`point_cloud` |
+ +-----------------------------------+-----------------------------------------------------------------------------------------------------------------------------------+
diff --git a/src/python/doc/representations_sum.inc b/src/python/doc/representations_sum.inc
index eac89b9d..cdad4716 100644
--- a/src/python/doc/representations_sum.inc
+++ b/src/python/doc/representations_sum.inc
@@ -1,14 +1,14 @@
.. table::
:widths: 30 40 30
- +------------------------------------------------------------------+----------------------------------------------------------------+-----------------------------------------------+
- | .. figure:: | Vectorizations, distances and kernels that work on persistence | :Author: Mathieu Carrière |
- | img/sklearn-tda.png | diagrams, compatible with scikit-learn. | |
- | | | :Since: GUDHI 3.1.0 |
- | | | |
- | | | :License: MIT |
- | | | |
- | | | :Requires: scikit-learn |
- +------------------------------------------------------------------+----------------------------------------------------------------+-----------------------------------------------+
- | * :doc:`representations` |
- +------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------+
+ +------------------------------------------------------------------+----------------------------------------------------------------+--------------------------------------------------------------+
+ | .. figure:: | Vectorizations, distances and kernels that work on persistence | :Author: Mathieu Carrière |
+ | img/sklearn-tda.png | diagrams, compatible with scikit-learn. | |
+ | | | :Since: GUDHI 3.1.0 |
+ | | | |
+ | | | :License: MIT |
+ | | | |
+ | | | :Requires: `Scikit-learn <installation.html#scikit-learn>`__ |
+ +------------------------------------------------------------------+----------------------------------------------------------------+--------------------------------------------------------------+
+ | * :doc:`representations` |
+ +------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------+
diff --git a/src/python/doc/wasserstein_distance_user.rst b/src/python/doc/wasserstein_distance_user.rst
index c443bab5..2d2e2ae7 100644
--- a/src/python/doc/wasserstein_distance_user.rst
+++ b/src/python/doc/wasserstein_distance_user.rst
@@ -17,12 +17,21 @@ are measured in norm p, for :math:`1 \leq p \leq \infty`.
Distance Functions
------------------
-This first implementation uses the Python Optimal Transport library and is based
-on ideas from "Large Scale Computation of Means and Cluster for Persistence
+
+Optimal Transport
+*****************
+
+:Requires: `Python Optimal Transport <installation.html#python-optimal-transport>`__ (POT) :math:`\geq` 0.5.1
+
+This first implementation uses the `Python Optimal Transport <installation.html#python-optimal-transport>`__
+library and is based on ideas from "Large Scale Computation of Means and Cluster for Persistence
Diagrams via Optimal Transport" :cite:`10.5555/3327546.3327645`.
.. autofunction:: gudhi.wasserstein.wasserstein_distance
+Hera
+****
+
This other implementation comes from `Hera
<https://bitbucket.org/grey_narn/hera/src/master/>`_ (BSD-3-Clause) which is
based on "Geometry Helps to Compare Persistence Diagrams"
@@ -94,6 +103,8 @@ The output is:
Barycenters
-----------
+:Requires: `Python Optimal Transport <installation.html#python-optimal-transport>`__ (POT) :math:`\geq` 0.5.1
+
A Frechet mean (or barycenter) is a generalization of the arithmetic
mean in a non linear space such as the one of persistence diagrams.
Given a set of persistence diagrams :math:`\mu_1 \dots \mu_n`, it is