import unittest import numpy as np from sklearn.datasets import load_iris, load_wine from mdlp import MDLP from ..Selection import Metrics class Metrics_test(unittest.TestCase): def __init__(self, *args, **kwargs): super().__init__(*args, **kwargs) mdlp = MDLP(random_state=1) self.X_i_c, self.y_i = load_iris(return_X_y=True) self.X_i = mdlp.fit_transform(self.X_i_c, self.y_i).astype("int64") self.X_w_c, self.y_w = load_wine(return_X_y=True) self.X_w = mdlp.fit_transform(self.X_w_c, self.y_w).astype("int64") def test_entropy(self): metric = Metrics() datasets = [ ([0, 0, 0, 0, 1, 1, 1, 1], 2, 1.0), ([0, 1, 0, 2, 1, 2], 3, 1.0), ([0, 0, 0, 0, 0, 0, 0, 2, 2, 2], 2, 0.8812908992306927), ([1, 1, 1, 5, 2, 2, 3, 3, 3], 4, 0.9455305560363263), ([1, 1, 1, 2, 2, 3, 3, 3, 5], 4, 0.9455305560363263), ([1, 1, 5], 2, 0.9182958340544896), (self.y_i, 3, 0.999999999), ] for dataset, base, entropy_expected in datasets: computed = metric.entropy(dataset, base) self.assertAlmostEqual(entropy_expected, computed) def test_differential_entropy(self): metric = Metrics() datasets = [ ([0, 0, 0, 0, 1, 1, 1, 1], 6, 1.0026709900837547096), ([0, 1, 0, 2, 1, 2], 5, 1.3552453009332424), ([0, 0, 0, 0, 0, 0, 0, 2, 2, 2], 7, 1.7652626150881443), ([1, 1, 1, 5, 2, 2, 3, 3, 3], 8, 1.9094631320594582), ([1, 1, 1, 2, 2, 3, 3, 3, 5], 8, 1.9094631320594582), ([1, 1, 5], 2, 2.5794415416798357), (self.X_i_c, 37, 3.06627326925228), (self.X_w_c, 37, 63.13827518897429), ] for dataset, base, entropy_expected in datasets: computed = metric.differential_entropy( np.array(dataset, dtype="float64"), base ) self.assertAlmostEqual( entropy_expected, computed, msg=str(dataset) ) expected = [ 1.6378708764142766, 2.0291571802275037, 0.8273865123744271, 3.203935772642847, 4.859193341386733, 1.3707315434976266, 1.8794952925706312, -0.2983180654207054, 1.4521478934625076, 2.834404839362728, 0.4894081282811191, 1.361210381692561, 7.6373991502818175, ] n_samples = self.X_w_c.shape[0] for c, res_expected in enumerate(expected): computed = metric.differential_entropy( self.X_w_c[:, c], n_samples - 1 ) self.assertAlmostEqual(computed, res_expected) def test_conditional_entropy(self): metric = Metrics() results_expected = [ 0.490953458537736, 0.7110077966379169, 0.15663362014829718, 0.13032469395094992, ] for expected, col in zip(results_expected, range(self.X_i.shape[1])): computed = metric.conditional_entropy( self.X_i[:, col], self.y_i, 3 ) self.assertAlmostEqual(expected, computed) self.assertAlmostEqual( 0.6309297535714573, metric.conditional_entropy( [1, 3, 2, 3, 2, 1], [1, 2, 0, 1, 1, 2], 3 ), ) # https://planetcalc.com/8414/?joint=0.4%200%0A0.2%200.4&showDetails=1 self.assertAlmostEqual( 0.5509775004326938, metric.conditional_entropy([1, 1, 2, 2, 2], [0, 0, 0, 2, 2], 2), ) def test_information_gain(self): metric = Metrics() results_expected = [ 0.5090465414622638, 0.28899220336208287, 0.8433663798517026, 0.8696753060490499, ] for expected, col in zip(results_expected, range(self.X_i.shape[1])): computed = metric.information_gain(self.X_i[:, col], self.y_i, 3) self.assertAlmostEqual(expected, computed) # https://planetcalc.com/8419/ # ?_d=FrDfFN2COAhqh9Pb5ycqy5CeKgIOxlfSjKgyyIR.Q5L0np-g-hw6yv8M1Q8_ results_expected = [ 0.806819679, 0.458041805, 1.336704086, 1.378402748, ] for expected, col in zip(results_expected, range(self.X_i.shape[1])): computed = metric.information_gain(self.X_i[:, col], self.y_i, 2) self.assertAlmostEqual(expected, computed) def test_information_gain_continuous(self): metric = Metrics() # Wine results_expected = [ 0.4993916064992192, 0.4049969724847222, 0.2934244372102506, 0.16970372100970632, ] for expected, col in zip(results_expected, range(self.X_w_c.shape[1])): computed = metric.information_gain_cont( self.X_w_c[:, col], self.y_w ) self.assertAlmostEqual(expected, computed) # Iris results_expected = [ 0.32752672968734586, 0.0, 0.5281084030413838, 0.0, ] for expected, col in zip(results_expected, range(self.X_i_c.shape[1])): computed = metric.information_gain_cont( self.X_i_c[:, col].reshape(-1, 1), # reshape for coverage self.y_i, ) self.assertAlmostEqual(expected, computed) def test_symmetrical_uncertainty(self): metric = Metrics() results_expected = [ 0.33296547388990266, 0.19068147573570668, 0.810724587460511, 0.870521418179061, ] for expected, col in zip(results_expected, range(self.X_i.shape[1])): computed = metric.symmetrical_uncertainty( self.X_i[:, col], self.y_i ) self.assertAlmostEqual(expected, computed) def test_symmetrical_uncertainty_continuous(self): metric = Metrics() results_expected = [ 0.3116626663552704, 0.22524988105092494, 0.24511182026415218, 0.07114329389542708, ] for expected, col in zip(results_expected, range(self.X_w.shape[1])): computed = metric.symmetrical_unc_continuous( self.X_w_c[:, col], self.y_w ) self.assertAlmostEqual(expected, computed)