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@@ -8,7 +8,7 @@ Representations manual
.. include:: representations_sum.inc
-This module, originally named sklearn_tda, aims at bridging the gap between persistence diagrams and machine learning tools, in particular scikit-learn. It provides tools, using the scikit-learn standard interface, to compute distances and kernels on diagrams, and to convert diagrams into vectors.
+This module, originally available at https://github.com/MathieuCarriere/sklearn-tda and named sklearn_tda, aims at bridging the gap between persistence diagrams and machine learning, by providing implementations of most of the vector representations for persistence diagrams in the literature, in a scikit-learn format. More specifically, it provides tools, using the scikit-learn standard interface, to compute distances and kernels on persistence diagrams, and to convert these diagrams into vectors in Euclidean space.
A diagram is represented as a numpy array of shape (n,2), as can be obtained from :func:`~gudhi.SimplexTree.persistence_intervals_in_dimension` for instance. Points at infinity are represented as a numpy array of shape (n,1), storing only the birth time.
@@ -46,3 +46,27 @@ Metrics
:members:
:special-members:
:show-inheritance:
+
+Basic example
+-------------
+
+This example computes the first two Landscapes associated to a persistence diagram with four points. The landscapes are evaluated on ten samples, leading to two vectors with ten coordinates each, that are eventually concatenated in order to produce a single vector representation.
+
+.. testcode::
+
+ import numpy as np
+ from gudhi.representations import Landscape
+ # A single diagram with 4 points
+ D = np.array([[0.,4.],[1.,2.],[3.,8.],[6.,8.]])
+ diags = [D]
+ l=Landscape(num_landscapes=2,resolution=10).fit_transform(diags)
+ print(l)
+
+The output is:
+
+.. testoutput::
+
+ [[1.02851895 2.05703791 2.57129739 1.54277843 0.89995409 1.92847304
+ 2.95699199 3.08555686 2.05703791 1.02851895 0. 0.64282435
+ 0. 0. 0.51425948 0. 0. 0.
+ 0.77138922 1.02851895]]