diff options
Diffstat (limited to 'src/python/example')
12 files changed, 184 insertions, 30 deletions
diff --git a/src/python/example/alpha_complex_diagram_persistence_from_off_file_example.py b/src/python/example/alpha_complex_diagram_persistence_from_off_file_example.py index b8f283b3..4079a469 100755 --- a/src/python/example/alpha_complex_diagram_persistence_from_off_file_example.py +++ b/src/python/example/alpha_complex_diagram_persistence_from_off_file_example.py @@ -1,7 +1,8 @@ #!/usr/bin/env python -import gudhi import argparse +import matplotlib.pyplot as plot +import gudhi """ This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details. @@ -60,8 +61,8 @@ with open(args.file, "r") as f: print(simplex_tree.betti_numbers()) if args.no_diagram == False: - pplot = gudhi.plot_persistence_diagram(diag, band=args.band) - pplot.show() + gudhi.plot_persistence_diagram(diag, band=args.band) + plot.show() else: print(args.file, "is not a valid OFF file") diff --git a/src/python/example/diagram_vectorizations_distances_kernels.py b/src/python/example/diagram_vectorizations_distances_kernels.py new file mode 100755 index 00000000..a77bbfdd --- /dev/null +++ b/src/python/example/diagram_vectorizations_distances_kernels.py @@ -0,0 +1,133 @@ +#!/usr/bin/env python + +import matplotlib.pyplot as plt +import numpy as np +from sklearn.kernel_approximation import RBFSampler +from sklearn.preprocessing import MinMaxScaler + +from gudhi.representations import DiagramSelector, Clamping, Landscape, Silhouette, BettiCurve, ComplexPolynomial,\ + TopologicalVector, DiagramScaler, BirthPersistenceTransform,\ + PersistenceImage, PersistenceWeightedGaussianKernel, Entropy, \ + PersistenceScaleSpaceKernel, SlicedWassersteinDistance,\ + SlicedWassersteinKernel, BottleneckDistance, PersistenceFisherKernel + +D = np.array([[0.,4.],[1.,2.],[3.,8.],[6.,8.], [0., np.inf], [5., np.inf]]) +diags = [D] + +diags = DiagramSelector(use=True, point_type="finite").fit_transform(diags) +diags = DiagramScaler(use=True, scalers=[([0,1], MinMaxScaler())]).fit_transform(diags) +diags = DiagramScaler(use=True, scalers=[([1], Clamping(limit=.9))]).fit_transform(diags) + +D = diags[0] +plt.scatter(D[:,0],D[:,1]) +plt.plot([0.,1.],[0.,1.]) +plt.title("Test Persistence Diagram for vector methods") +plt.show() + +LS = Landscape(resolution=1000) +L = LS.fit_transform(diags) +plt.plot(L[0][:1000]) +plt.plot(L[0][1000:2000]) +plt.plot(L[0][2000:3000]) +plt.title("Landscape") +plt.show() + +def pow(n): + return lambda x: np.power(x[1]-x[0],n) + +SH = Silhouette(resolution=1000, weight=pow(2)) +sh = SH.fit_transform(diags) +plt.plot(sh[0]) +plt.title("Silhouette") +plt.show() + +BC = BettiCurve(resolution=1000) +bc = BC.fit_transform(diags) +plt.plot(bc[0]) +plt.title("Betti Curve") +plt.show() + +CP = ComplexPolynomial(threshold=-1, polynomial_type="T") +cp = CP.fit_transform(diags) +print("Complex polynomial is " + str(cp[0,:])) + +TV = TopologicalVector(threshold=-1) +tv = TV.fit_transform(diags) +print("Topological vector is " + str(tv[0,:])) + +PI = PersistenceImage(bandwidth=.1, weight=lambda x: x[1], im_range=[0,1,0,1], resolution=[100,100]) +pi = PI.fit_transform(diags) +plt.imshow(np.flip(np.reshape(pi[0], [100,100]), 0)) +plt.title("Persistence Image") +plt.show() + +ET = Entropy(mode="scalar") +et = ET.fit_transform(diags) +print("Entropy statistic is " + str(et[0,:])) + +ET = Entropy(mode="vector", normalized=False) +et = ET.fit_transform(diags) +plt.plot(et[0]) +plt.title("Entropy function") +plt.show() + +D = np.array([[1.,5.],[3.,6.],[2.,7.]]) +diags2 = [D] + +diags2 = DiagramScaler(use=True, scalers=[([0,1], MinMaxScaler())]).fit_transform(diags2) + +D = diags[0] +plt.scatter(D[:,0],D[:,1]) +D = diags2[0] +plt.scatter(D[:,0],D[:,1]) +plt.plot([0.,1.],[0.,1.]) +plt.title("Test Persistence Diagrams for kernel methods") +plt.show() + +def arctan(C,p): + return lambda x: C*np.arctan(np.power(x[1], p)) + +PWG = PersistenceWeightedGaussianKernel(bandwidth=1., kernel_approx=None, weight=arctan(1.,1.)) +X = PWG.fit(diags) +Y = PWG.transform(diags2) +print("PWG kernel is " + str(Y[0][0])) + +PWG = PersistenceWeightedGaussianKernel(kernel_approx=RBFSampler(gamma=1./2, n_components=100000).fit(np.ones([1,2])), weight=arctan(1.,1.)) +X = PWG.fit(diags) +Y = PWG.transform(diags2) +print("Approximate PWG kernel is " + str(Y[0][0])) + +PSS = PersistenceScaleSpaceKernel(bandwidth=1.) +X = PSS.fit(diags) +Y = PSS.transform(diags2) +print("PSS kernel is " + str(Y[0][0])) + +PSS = PersistenceScaleSpaceKernel(kernel_approx=RBFSampler(gamma=1./2, n_components=100000).fit(np.ones([1,2]))) +X = PSS.fit(diags) +Y = PSS.transform(diags2) +print("Approximate PSS kernel is " + str(Y[0][0])) + +sW = SlicedWassersteinDistance(num_directions=100) +X = sW.fit(diags) +Y = sW.transform(diags2) +print("SW distance is " + str(Y[0][0])) + +SW = SlicedWassersteinKernel(num_directions=100, bandwidth=1.) +X = SW.fit(diags) +Y = SW.transform(diags2) +print("SW kernel is " + str(Y[0][0])) + +W = BottleneckDistance(epsilon=.001) +X = W.fit(diags) +Y = W.transform(diags2) +print("Bottleneck distance is " + str(Y[0][0])) + +PF = PersistenceFisherKernel(bandwidth_fisher=1., bandwidth=1.) +X = PF.fit(diags) +Y = PF.transform(diags2) +print("PF kernel is " + str(Y[0][0])) + +PF = PersistenceFisherKernel(bandwidth_fisher=1., bandwidth=1., kernel_approx=RBFSampler(gamma=1./2, n_components=100000).fit(np.ones([1,2]))) +X = PF.fit(diags) +Y = PF.transform(diags2) +print("Approximate PF kernel is " + str(Y[0][0])) diff --git a/src/python/example/euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py b/src/python/example/euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py index 610ba44f..0eedd140 100755 --- a/src/python/example/euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py +++ b/src/python/example/euclidean_strong_witness_complex_diagram_persistence_from_off_file_example.py @@ -1,7 +1,8 @@ #!/usr/bin/env python -import gudhi import argparse +import matplotlib.pyplot as plot +import gudhi """ This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details. @@ -75,8 +76,8 @@ with open(args.file, "r") as f: print(simplex_tree.betti_numbers()) if args.no_diagram == False: - pplot = gudhi.plot_persistence_diagram(diag, band=args.band) - pplot.show() + gudhi.plot_persistence_diagram(diag, band=args.band) + plot.show() else: print(args.file, "is not a valid OFF file") diff --git a/src/python/example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py b/src/python/example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py index 7587b732..1fe55737 100755 --- a/src/python/example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py +++ b/src/python/example/euclidean_witness_complex_diagram_persistence_from_off_file_example.py @@ -1,7 +1,8 @@ #!/usr/bin/env python -import gudhi import argparse +import matplotlib.pyplot as plot +import gudhi """ This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details. @@ -74,8 +75,8 @@ with open(args.file, "r") as f: print(simplex_tree.betti_numbers()) if args.no_diagram == False: - pplot = gudhi.plot_persistence_diagram(diag, band=args.band) - pplot.show() + gudhi.plot_persistence_diagram(diag, band=args.band) + plot.show() else: print(args.file, "is not a valid OFF file") diff --git a/src/python/example/gudhi_graphical_tools_example.py b/src/python/example/gudhi_graphical_tools_example.py index 3b0ca54d..37ecbf53 100755 --- a/src/python/example/gudhi_graphical_tools_example.py +++ b/src/python/example/gudhi_graphical_tools_example.py @@ -1,5 +1,6 @@ #!/usr/bin/env python +import matplotlib.pyplot as plot import gudhi """ This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. @@ -29,15 +30,24 @@ persistence = [ (0, (0.0, 1.0)), ] gudhi.plot_persistence_barcode(persistence) +plot.show() print("#####################################################################") print("Show diagram persistence example") -pplot = gudhi.plot_persistence_diagram(persistence) -pplot.show() +gudhi.plot_persistence_diagram(persistence) +plot.show() print("#####################################################################") print("Show diagram persistence example with a confidence band") -pplot = gudhi.plot_persistence_diagram(persistence, band=0.2) -pplot.show() +gudhi.plot_persistence_diagram(persistence, band=0.2) +plot.show() + +print("#####################################################################") +print("Show barcode and diagram persistence side by side example") +fig, axes = plot.subplots(nrows=1, ncols=2) +gudhi.plot_persistence_barcode(persistence, axes = axes[0]) +gudhi.plot_persistence_diagram(persistence, axes = axes[1]) +fig.suptitle("barcode versus diagram") +plot.show() diff --git a/src/python/example/periodic_cubical_complex_barcode_persistence_from_perseus_file_example.py b/src/python/example/periodic_cubical_complex_barcode_persistence_from_perseus_file_example.py index 9cb855cd..c692e66f 100755 --- a/src/python/example/periodic_cubical_complex_barcode_persistence_from_perseus_file_example.py +++ b/src/python/example/periodic_cubical_complex_barcode_persistence_from_perseus_file_example.py @@ -1,7 +1,8 @@ #!/usr/bin/env python -import gudhi import argparse +import matplotlib.pyplot as plot +import gudhi """ This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details. @@ -70,5 +71,6 @@ if is_file_perseus(args.file): print(periodic_cubical_complex.betti_numbers()) if args.no_barcode == False: gudhi.plot_persistence_barcode(diag) + plot.show() else: print(args.file, "is not a valid perseus style file") diff --git a/src/python/example/rips_complex_diagram_persistence_from_correlation_matrix_file_example.py b/src/python/example/rips_complex_diagram_persistence_from_correlation_matrix_file_example.py index 3571580b..1acb187c 100755 --- a/src/python/example/rips_complex_diagram_persistence_from_correlation_matrix_file_example.py +++ b/src/python/example/rips_complex_diagram_persistence_from_correlation_matrix_file_example.py @@ -1,8 +1,9 @@ #!/usr/bin/env python -import gudhi import sys import argparse +import matplotlib.pyplot as plot +import gudhi """ This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details. @@ -83,5 +84,5 @@ invert_diag = [ ] if args.no_diagram == False: - pplot = gudhi.plot_persistence_diagram(invert_diag, band=args.band) - pplot.show() + gudhi.plot_persistence_diagram(invert_diag, band=args.band) + plot.show() diff --git a/src/python/example/rips_complex_diagram_persistence_from_distance_matrix_file_example.py b/src/python/example/rips_complex_diagram_persistence_from_distance_matrix_file_example.py index 0b9a9ba9..79ccca96 100755 --- a/src/python/example/rips_complex_diagram_persistence_from_distance_matrix_file_example.py +++ b/src/python/example/rips_complex_diagram_persistence_from_distance_matrix_file_example.py @@ -1,7 +1,8 @@ #!/usr/bin/env python -import gudhi import argparse +import matplotlib.pyplot as plot +import gudhi """ This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details. @@ -59,5 +60,5 @@ print("betti_numbers()=") print(simplex_tree.betti_numbers()) if args.no_diagram == False: - pplot = gudhi.plot_persistence_diagram(diag, band=args.band) - pplot.show() + gudhi.plot_persistence_diagram(diag, band=args.band) + plot.show() diff --git a/src/python/example/rips_complex_diagram_persistence_from_off_file_example.py b/src/python/example/rips_complex_diagram_persistence_from_off_file_example.py index 2b335bba..b9074cf9 100755 --- a/src/python/example/rips_complex_diagram_persistence_from_off_file_example.py +++ b/src/python/example/rips_complex_diagram_persistence_from_off_file_example.py @@ -1,7 +1,8 @@ #!/usr/bin/env python -import gudhi import argparse +import matplotlib.pyplot as plot +import gudhi """ This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details. @@ -64,8 +65,8 @@ with open(args.file, "r") as f: print(simplex_tree.betti_numbers()) if args.no_diagram == False: - pplot = gudhi.plot_persistence_diagram(diag, band=args.band) - pplot.show() + gudhi.plot_persistence_diagram(diag, band=args.band) + plot.show() else: print(args.file, "is not a valid OFF file") diff --git a/src/python/example/rips_persistence_diagram.py b/src/python/example/rips_persistence_diagram.py index f5897d7b..2a90b4bc 100755 --- a/src/python/example/rips_persistence_diagram.py +++ b/src/python/example/rips_persistence_diagram.py @@ -1,5 +1,6 @@ #!/usr/bin/env python +import matplotlib.pyplot as plot import gudhi """ This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. @@ -26,5 +27,5 @@ simplex_tree = rips.create_simplex_tree(max_dimension=1) diag = simplex_tree.persistence(homology_coeff_field=2, min_persistence=0) print("diag=", diag) -pplot = gudhi.plot_persistence_diagram(diag) -pplot.show() +gudhi.plot_persistence_diagram(diag) +plot.show() diff --git a/src/python/example/sparse_rips_persistence_diagram.py b/src/python/example/sparse_rips_persistence_diagram.py index 671d5e34..410a6a86 100755 --- a/src/python/example/sparse_rips_persistence_diagram.py +++ b/src/python/example/sparse_rips_persistence_diagram.py @@ -1,5 +1,6 @@ #!/usr/bin/env python +import matplotlib.pyplot as plot import gudhi """ This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. @@ -28,5 +29,5 @@ simplex_tree = rips.create_simplex_tree(max_dimension=2) diag = simplex_tree.persistence(homology_coeff_field=2, min_persistence=0) print("diag=", diag) -pplot = gudhi.plot_persistence_diagram(diag) -pplot.show() +gudhi.plot_persistence_diagram(diag) +plot.show() diff --git a/src/python/example/tangential_complex_plain_homology_from_off_file_example.py b/src/python/example/tangential_complex_plain_homology_from_off_file_example.py index 456bc9eb..f0df2189 100755 --- a/src/python/example/tangential_complex_plain_homology_from_off_file_example.py +++ b/src/python/example/tangential_complex_plain_homology_from_off_file_example.py @@ -1,7 +1,8 @@ #!/usr/bin/env python -import gudhi import argparse +import matplotlib.pyplot as plot +import gudhi """ This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details. @@ -56,8 +57,8 @@ with open(args.file, "r") as f: print(st.betti_numbers()) if args.no_diagram == False: - pplot = gudhi.plot_persistence_diagram(diag, band=args.band) - pplot.show() + gudhi.plot_persistence_diagram(diag, band=args.band) + plot.show() else: print(args.file, "is not a valid OFF file") |