#!/usr/bin/env python import sys import argparse 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. Author(s): Vincent Rouvreau Copyright (C) 2017 Inria Modification(s): - YYYY/MM Author: Description of the modification """ __author__ = "Vincent Rouvreau" __copyright__ = "Copyright (C) 2017 Inria" __license__ = "MIT" parser = argparse.ArgumentParser( description="RipsComplex creation from " "a correlation matrix read in a csv file.", epilog="Example: " "example/rips_complex_diagram_persistence_from_correlation_matrix_file_example.py " "-f ../data/correlation_matrix/lower_triangular_correlation_matrix.csv -e 12.0 -d 3" "- Constructs a Rips complex with the " "correlation matrix from the given csv file.", ) parser.add_argument("-f", "--file", type=str, required=True) parser.add_argument("-c", "--min_edge_correlation", type=float, default=0.5) parser.add_argument("-d", "--max_dimension", type=int, default=1) parser.add_argument("-b", "--band", type=float, default=0.0) parser.add_argument( "--no-diagram", default=False, action="store_true", help="Flag for not to display the diagrams", ) args = parser.parse_args() if not (-1.0 < args.min_edge_correlation < 1.0): print("Wrong value of the threshold corelation (should be between -1 and 1).") sys.exit(1) print("#####################################################################") print("Caution: as persistence diagrams points will be under the diagonal,") print("bottleneck distance and persistence graphical tool will not work") print("properly, this is a known issue.") print("#####################################################################") print("RipsComplex creation from correlation matrix read in a csv file") message = "RipsComplex with min_edge_correlation=" + repr(args.min_edge_correlation) print(message) correlation_matrix = gudhi.read_lower_triangular_matrix_from_csv_file( csv_file=args.file ) # Given a correlation matrix M, we compute component-wise M'[i,j] = 1-M[i,j] to get a distance matrix: distance_matrix = [ [1.0 - correlation_matrix[i][j] for j in range(len(correlation_matrix[i]))] for i in range(len(correlation_matrix)) ] rips_complex = gudhi.RipsComplex( distance_matrix=distance_matrix, max_edge_length=1.0 - args.min_edge_correlation ) simplex_tree = rips_complex.create_simplex_tree(max_dimension=args.max_dimension) message = "Number of simplices=" + repr(simplex_tree.num_simplices()) print(message) diag = simplex_tree.persistence() print("betti_numbers()=") print(simplex_tree.betti_numbers()) # invert the persistence diagram invert_diag = [ (diag[pers][0], (1.0 - diag[pers][1][0], 1.0 - diag[pers][1][1])) for pers in range(len(diag)) ] if args.no_diagram == False: import matplotlib.pyplot as plot gudhi.plot_persistence_diagram(invert_diag, band=args.band) plot.show()