.. _reseauneuronesrst: =================== Réseaux de neurones =================== .. only:: html **Links:** :download:`notebook `, :downloadlink:`html `, :download:`PDF `, :download:`python `, :downloadlink:`slides `, :githublink:`GitHub|_doc/notebooks/ml/reseau_neurones.ipynb|*` Réseaux de neurones avec scikit-learn. .. code:: ipython3 %matplotlib inline .. code:: ipython3 from sklearn.linear_model import Perceptron X = [[0., 0.], [1., 1.]] y = [0, 1] clf = Perceptron() clf.fit(X, y) .. parsed-literal:: Perceptron(alpha=0.0001, class_weight=None, eta0=1.0, fit_intercept=True, n_iter=5, n_jobs=1, penalty=None, random_state=0, shuffle=True, verbose=0, warm_start=False) .. code:: ipython3 import matplotlib.pyplot as plt import numpy def softmax(x): return 1.0 / (1 + numpy.exp(-x)) def dsoftmax(x): t = numpy.exp(-x) return t / (1 + t)**2 x = numpy.arange(-10,10, 0.1) y = softmax(x) dy = dsoftmax(x) fig, ax = plt.subplots(1,1) ax.plot(x,y, label="softmax") ax.plot(x,dy, label="dérivée") ax.set_ylim([-0.1, 1.1]) ax.plot([-5, -5], [-0.1, 1.1], "r") ax.plot([5, 5], [-0.1, 1.1], "r") ax.legend(loc=2) .. parsed-literal:: .. image:: reseau_neurones_3_1.png .. code:: ipython3 x .. parsed-literal:: array([ -1.00000000e+01, -9.90000000e+00, -9.80000000e+00, -9.70000000e+00, -9.60000000e+00, -9.50000000e+00, -9.40000000e+00, -9.30000000e+00, -9.20000000e+00, -9.10000000e+00, -9.00000000e+00, -8.90000000e+00, -8.80000000e+00, -8.70000000e+00, -8.60000000e+00, -8.50000000e+00, -8.40000000e+00, -8.30000000e+00, -8.20000000e+00, -8.10000000e+00, -8.00000000e+00, -7.90000000e+00, -7.80000000e+00, -7.70000000e+00, -7.60000000e+00, -7.50000000e+00, -7.40000000e+00, -7.30000000e+00, -7.20000000e+00, -7.10000000e+00, -7.00000000e+00, -6.90000000e+00, -6.80000000e+00, -6.70000000e+00, -6.60000000e+00, -6.50000000e+00, -6.40000000e+00, -6.30000000e+00, -6.20000000e+00, -6.10000000e+00, -6.00000000e+00, -5.90000000e+00, -5.80000000e+00, -5.70000000e+00, -5.60000000e+00, -5.50000000e+00, -5.40000000e+00, -5.30000000e+00, -5.20000000e+00, -5.10000000e+00, -5.00000000e+00, -4.90000000e+00, -4.80000000e+00, -4.70000000e+00, -4.60000000e+00, -4.50000000e+00, -4.40000000e+00, -4.30000000e+00, -4.20000000e+00, -4.10000000e+00, -4.00000000e+00, -3.90000000e+00, -3.80000000e+00, -3.70000000e+00, -3.60000000e+00, -3.50000000e+00, -3.40000000e+00, -3.30000000e+00, -3.20000000e+00, -3.10000000e+00, -3.00000000e+00, -2.90000000e+00, -2.80000000e+00, -2.70000000e+00, -2.60000000e+00, -2.50000000e+00, -2.40000000e+00, -2.30000000e+00, -2.20000000e+00, -2.10000000e+00, -2.00000000e+00, -1.90000000e+00, -1.80000000e+00, -1.70000000e+00, -1.60000000e+00, -1.50000000e+00, -1.40000000e+00, -1.30000000e+00, -1.20000000e+00, -1.10000000e+00, -1.00000000e+00, -9.00000000e-01, -8.00000000e-01, -7.00000000e-01, -6.00000000e-01, -5.00000000e-01, -4.00000000e-01, -3.00000000e-01, -2.00000000e-01, -1.00000000e-01, -3.55271368e-14, 1.00000000e-01, 2.00000000e-01, 3.00000000e-01, 4.00000000e-01, 5.00000000e-01, 6.00000000e-01, 7.00000000e-01, 8.00000000e-01, 9.00000000e-01, 1.00000000e+00, 1.10000000e+00, 1.20000000e+00, 1.30000000e+00, 1.40000000e+00, 1.50000000e+00, 1.60000000e+00, 1.70000000e+00, 1.80000000e+00, 1.90000000e+00, 2.00000000e+00, 2.10000000e+00, 2.20000000e+00, 2.30000000e+00, 2.40000000e+00, 2.50000000e+00, 2.60000000e+00, 2.70000000e+00, 2.80000000e+00, 2.90000000e+00, 3.00000000e+00, 3.10000000e+00, 3.20000000e+00, 3.30000000e+00, 3.40000000e+00, 3.50000000e+00, 3.60000000e+00, 3.70000000e+00, 3.80000000e+00, 3.90000000e+00, 4.00000000e+00, 4.10000000e+00, 4.20000000e+00, 4.30000000e+00, 4.40000000e+00, 4.50000000e+00, 4.60000000e+00, 4.70000000e+00, 4.80000000e+00, 4.90000000e+00, 5.00000000e+00, 5.10000000e+00, 5.20000000e+00, 5.30000000e+00, 5.40000000e+00, 5.50000000e+00, 5.60000000e+00, 5.70000000e+00, 5.80000000e+00, 5.90000000e+00, 6.00000000e+00, 6.10000000e+00, 6.20000000e+00, 6.30000000e+00, 6.40000000e+00, 6.50000000e+00, 6.60000000e+00, 6.70000000e+00, 6.80000000e+00, 6.90000000e+00, 7.00000000e+00, 7.10000000e+00, 7.20000000e+00, 7.30000000e+00, 7.40000000e+00, 7.50000000e+00, 7.60000000e+00, 7.70000000e+00, 7.80000000e+00, 7.90000000e+00, 8.00000000e+00, 8.10000000e+00, 8.20000000e+00, 8.30000000e+00, 8.40000000e+00, 8.50000000e+00, 8.60000000e+00, 8.70000000e+00, 8.80000000e+00, 8.90000000e+00, 9.00000000e+00, 9.10000000e+00, 9.20000000e+00, 9.30000000e+00, 9.40000000e+00, 9.50000000e+00, 9.60000000e+00, 9.70000000e+00, 9.80000000e+00, 9.90000000e+00])