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c6c758207b
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6a5081a0c1
@ -15,7 +15,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"execution_count": 49,
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"metadata": {},
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"outputs": [],
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"source": [
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@ -52,7 +52,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"execution_count": 50,
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"metadata": {},
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"outputs": [],
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"source": [
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@ -63,7 +63,10 @@
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" >>> Perceptron(2, 100, 0.1)\n",
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" \"\"\"\n",
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" ### Dein Code kommt hierhin:\n",
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" \n",
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" self.weights = np.zeros(number_of_inputs+1)\n",
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" self.epochs = epochs\n",
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" self.eta = eta\n",
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" self.bias = 0\n",
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" ##########################\n",
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" pass\n",
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" \n",
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@ -73,13 +76,11 @@
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" >>> inputs = np.array([0, 1])\n",
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" >>> h = perceptron.predict(inputs) \n",
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" \"\"\"\n",
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" \n",
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" # Dein Code kommt hierhin: \n",
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" \n",
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" \n",
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" z = self.bias * self.weights[0]\n",
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" z += np.dot(inputs, self.weights[1:])\n",
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" return 1/(1 + np.exp(-z))\n",
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" ##########################\n",
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" \n",
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" \n",
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" pass\n",
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"\n",
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" def fit(self, training_inputs, labels):\n",
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@ -87,10 +88,31 @@
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" Beispiel des Funktionsaufrufs:\n",
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" >>> perceptron.fit(train_input, labels)\n",
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" \"\"\"\n",
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" \n",
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" # Dein Code kommt hierhin:\n",
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" \n",
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"\n",
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" for e in range(self.epochs):\n",
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" L_old=0\n",
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" h_old=0\n",
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" z_old=-1\n",
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" weights_old=-np.ones(len(self.weights))\n",
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" for xi, target in zip(training_inputs, labels):\n",
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" h = self.predict(xi)\n",
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" h_diff = h - h_old\n",
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" L = (target - h) ** 2\n",
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" L_diff = L - L_old\n",
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" z = self.bias * self.weights[0] + np.dot(xi, self.weights[1:])\n",
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" z_diff = z - z_old\n",
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" weights_diff = self.weights - weights_old\n",
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" #Ableitung\n",
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" deriv_z = np.where(weights_diff!=0, z_diff/weights_diff, 0)\n",
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" deriv_h = h_diff/z_diff if z_diff!=0 else 0\n",
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" deriv_L = L_diff/h_diff if h_diff!=0 else 0\n",
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" deriv = deriv_L * deriv_h * deriv_z\n",
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" delta_weights = self.eta * deriv\n",
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" weights_old = self.weights\n",
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" L_old = L\n",
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" h_old = h\n",
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" z_old = z\n",
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" self.weights -= delta_weights\n",
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" ##########################\n",
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" pass\n",
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" \n",
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@ -110,9 +132,28 @@
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"execution_count": 51,
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"metadata": {},
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"outputs": [],
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"outputs": [
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{
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"output_type": "stream",
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"name": "stdout",
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"text": [
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"[3.0643397 3.0643397 3.0643397]\n"
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]
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},
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{
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"output_type": "error",
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"ename": "NameError",
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"evalue": "name 'train_input_AND' is not defined",
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"traceback": [
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"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
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"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
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"\u001b[0;32m<ipython-input-51-fc9213e067f7>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 22\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 23\u001b[0m \u001b[0mfig\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0max\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msubplots\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 24\u001b[0;31m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mscatter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtrain_input_AND\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlabels_AND\u001b[0m\u001b[0;34m==\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m,\u001b[0m \u001b[0mtrain_input_AND\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlabels_AND\u001b[0m\u001b[0;34m==\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 25\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mscatter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtrain_input_AND\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlabels_AND\u001b[0m\u001b[0;34m==\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m,\u001b[0m \u001b[0mtrain_input_AND\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlabels_AND\u001b[0m\u001b[0;34m==\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 26\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx_AND\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0my_AND\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;31mNameError\u001b[0m: name 'train_input_AND' is not defined"
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]
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}
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],
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"source": [
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"# AND-Datensatz\n",
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"train_input = np.array([\n",
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@ -123,12 +164,28 @@
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" ])\n",
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"\n",
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"labels_AND = np.array([0, 0, 0, 1])\n",
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"\n"
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"\n",
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"perceptron_AND = Perceptron(2,100,0.1)\n",
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"perceptron_AND.fit(train_input,labels_AND)\n",
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"\n",
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"# Geradengleichung berechnen und plotten\n",
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"weights = perceptron_AND.getWeights()\n",
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"print(weights)\n",
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"\n",
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"slope = -weights[1]/weights[2]\n",
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"offset = -weights[0]/weights[2]\n",
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"x_AND = np.linspace(0,1)\n",
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"y_AND = slope * x_AND + offset\n",
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"\n",
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"fig, ax = plt.subplots()\n",
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"ax.scatter(train_input_AND[(labels_AND==-1),0] , train_input_AND[(labels_AND==-1),1])\n",
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"ax.scatter(train_input_AND[(labels_AND==1),0] , train_input_AND[(labels_AND==1),1])\n",
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"plt.plot(x_AND,y_AND)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"execution_count": 5,
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"metadata": {},
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"outputs": [],
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"source": [
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@ -138,7 +195,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"execution_count": 6,
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"metadata": {},
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"outputs": [],
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"source": [
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@ -187,7 +244,7 @@
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.7.4"
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"version": "3.7.6-final"
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}
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},
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"nbformat": 4,
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