Created
March 29, 2020 19:35
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import pandas as pd\n", | |
"import matplotlib.pyplot as plt\n", | |
"%matplotlib inline\n", | |
"import seaborn as sns\n", | |
"from sklearn import datasets\n", | |
"from sklearn import preprocessing\n", | |
"from sklearn import linear_model\n", | |
"from sklearn import model_selection as ms" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"cancer_data=datasets.load_breast_cancer()\n", | |
"y=cancer_data.target\n", | |
"x=cancer_data.data\n", | |
"x=preprocessing.scale(x)\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"sns.scatterplot(x[:,0],x[:,1],hue=y) #plotting only two features\n", | |
"plt.xlabel('Tumor radius')\n", | |
"plt.ylabel('Tumor Texture')\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"alpha=np.arange(1e-15,1,0.005)\n", | |
"val_scores=np.zeros((len(alpha),1)) #initializing array for \n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"for i in range(len(alpha)):\n", | |
" model=linear_model.SGDClassifier(loss=\"hinge\", penalty='l2',alpha=alpha[i])\n", | |
" score=ms.cross_val_score(model,x,y,cv=5)\n", | |
" val_scores[i]=score.mean()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"ind=np.argmax(val_scores)\n", | |
"alpha_star=alpha[ind]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 21, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(alpha,val_scores)\n", | |
"plt.xlim(0,1)\n", | |
"plt.xlabel('alpha')\n", | |
"plt.ylabel('Mean Cross Validation Accuracy')\n", | |
"plt.scatter(alpha_star,val_scores[ind],color=\"red\")\n", | |
"plt.grid(True)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"###### Red Point is indicating our alpha_star value" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"model_star=linear_model.SGDClassifier(loss='hinge',penalty='l2',alpha=alpha[ind])\n", | |
"model_trained=model_star.fit(x,y)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([[-0.21525199, -0.27702941, -0.20845646, -0.2119769 , -0.058693 ,\n", | |
" 0.08557358, -0.25340231, -0.27772054, -0.03060915, 0.18416149,\n", | |
" -0.30769695, 0.09285973, -0.23413576, -0.2461244 , -0.10741246,\n", | |
" 0.20002864, 0.02492923, -0.03715992, 0.0424596 , 0.1274854 ,\n", | |
" -0.33307152, -0.41575637, -0.30275176, -0.30030035, -0.26553234,\n", | |
" -0.00745706, -0.23394034, -0.28783211, -0.33800318, -0.10334834]])" | |
] | |
}, | |
"execution_count": 10, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"model_trained.coef_ #( value of theta)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([0.28985934])" | |
] | |
}, | |
"execution_count": 13, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"model_trained.intercept_ #(value of theta0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Accuracy for model trained is 0.9806678383128296\n" | |
] | |
} | |
], | |
"source": [ | |
"print(\"Accuracy for model trained is {}\".format(model_trained.score(x,y)))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"slope=model_trained.coef_[0,1]/-model_trained.coef_[0,0] ##slope=-(theta1/theta0)\n", | |
"x1=np.arange(-4,4,0.01)\n", | |
"y1=slope*x1\n", | |
"sns.scatterplot(x[:,0],x[:,1],hue=y)\n", | |
"plt.xlim(-4,4)\n", | |
"plt.ylim(-6,6)\n", | |
"plt.grid(True)\n", | |
"plt.plot(x1,y1,'--k')\n", | |
"plt.xlabel('Tumor Radius')\n", | |
"plt.ylabel('Tumor Texture')\n", | |
"plt.show()" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.7.4" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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