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authorVincent Rouvreau <vincent.rouvreau@inria.fr>2021-11-05 11:28:42 +0100
committerVincent Rouvreau <vincent.rouvreau@inria.fr>2021-11-05 11:28:42 +0100
commit8f14977760d05f8f08d2a7babdc197da27a6c53a (patch)
tree9d40c8dcb22812d923961a78e40add26d31ca8ab /src/python/doc/cubical_complex_user.rst
parent44a80746c9cc5740e2cf27da52b9fc5fa7e682f1 (diff)
change doc according to proposal
Diffstat (limited to 'src/python/doc/cubical_complex_user.rst')
-rw-r--r--src/python/doc/cubical_complex_user.rst95
1 files changed, 1 insertions, 94 deletions
diff --git a/src/python/doc/cubical_complex_user.rst b/src/python/doc/cubical_complex_user.rst
index e62a4395..42a23875 100644
--- a/src/python/doc/cubical_complex_user.rst
+++ b/src/python/doc/cubical_complex_user.rst
@@ -7,19 +7,7 @@ Cubical complex user manual
Definition
----------
-.. list-table::
- :widths: 25 50 25
- :header-rows: 0
-
- * - :Author: Pawel Dlotko
- - :Since: GUDHI 2.0.0
- - :License: MIT
- * - :doc:`cubical_complex_user`
- - * :doc:`cubical_complex_ref`
- * :doc:`periodic_cubical_complex_ref`
- * :doc:`cubical_complex_sklearn_itf_ref`
- -
-
+.. include:: cubical_complex_sum.inc
The cubical complex is an example of a structured complex useful in computational mathematics (specially rigorous
numerics) and image analysis.
@@ -169,84 +157,3 @@ Tutorial
This `notebook <https://github.com/GUDHI/TDA-tutorial/blob/master/Tuto-GUDHI-cubical-complexes.ipynb>`_
explains how to represent sublevels sets of functions using cubical complexes.
-
-Scikit-learn like interface example
------------------------------------
-
-In this example, hand written digits are used as an input.
-a TDA scikit-learn pipeline is constructed and is composed of:
-
-#. :class:`~gudhi.sklearn.cubical_persistence.CubicalPersistence` that builds a cubical complex from the inputs and
- returns its persistence diagrams
-#. :class:`~gudhi.representations.DiagramSelector` that removes non-finite persistence diagrams values
-#. :class:`~gudhi.representations.PersistenceImage` that builds the persistence images from persistence diagrams
-#. `SVC <https://scikit-learn.org/stable/modules/generated/sklearn.svm.SVC.html>`_ which is a scikit-learn support
- vector classifier.
-
-This ML pipeline is trained to detect if the hand written digit is an '8' or not, thanks to the fact that an '8' has
-two holes in :math:`\mathbf{H}_1`, or, like in this example, three connected components in :math:`\mathbf{H}_0`.
-
-.. code-block:: python
-
- # Standard scientific Python imports
- import numpy as np
-
- # Standard scikit-learn imports
- from sklearn.datasets import fetch_openml
- from sklearn.pipeline import Pipeline
- from sklearn.model_selection import train_test_split
- from sklearn.svm import SVC
- from sklearn import metrics
-
- # Import TDA pipeline requirements
- from gudhi.sklearn.cubical_persistence import CubicalPersistence
- from gudhi.representations import PersistenceImage, DiagramSelector
-
- X, y = fetch_openml("mnist_784", version=1, return_X_y=True, as_frame=False)
-
- # Target is: "is an eight ?"
- y = (y == "8") * 1
- print("There are", np.sum(y), "eights out of", len(y), "numbers.")
-
- X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.4, random_state=0)
- pipe = Pipeline(
- [
- ("cub_pers", CubicalPersistence(persistence_dimension=0, dimensions=[28, 28], n_jobs=-2)),
- # Or for multiple persistence dimension computation
- # ("cub_pers", CubicalPersistence(persistence_dimension=[0, 1], dimensions=[28, 28], n_jobs=-2)),
- # ("H0_diags", DimensionSelector(index=0), # where index is the index in persistence_dimension array
- ("finite_diags", DiagramSelector(use=True, point_type="finite")),
- (
- "pers_img",
- PersistenceImage(bandwidth=50, weight=lambda x: x[1] ** 2, im_range=[0, 256, 0, 256], resolution=[20, 20]),
- ),
- ("svc", SVC()),
- ]
- )
-
- # Learn from the train subset
- pipe.fit(X_train, y_train)
- # Predict from the test subset
- predicted = pipe.predict(X_test)
-
- print(f"Classification report for TDA pipeline {pipe}:\n" f"{metrics.classification_report(y_test, predicted)}\n")
-
-
-.. code-block:: none
-
- There are 6825 eights out of 70000 numbers.
- Classification report for TDA pipeline Pipeline(steps=[('cub_pers',
- CubicalPersistence(dimensions=[28, 28], n_jobs=-2)),
- ('finite_diags', DiagramSelector(use=True)),
- ('pers_img',
- PersistenceImage(bandwidth=50, im_range=[0, 256, 0, 256],
- weight=<function <lambda> at 0x7f3e54137ae8>)),
- ('svc', SVC())]):
- precision recall f1-score support
-
- 0 0.97 0.99 0.98 25284
- 1 0.92 0.68 0.78 2716
-
- accuracy 0.96 28000
- macro avg 0.94 0.84 0.88 28000
- weighted avg 0.96 0.96 0.96 28000 \ No newline at end of file