Skip to content

Instantly share code, notes, and snippets.

@ganesh3
Created September 12, 2018 06:53
Show Gist options
  • Save ganesh3/c4c8776a581477619698bdc58ac22605 to your computer and use it in GitHub Desktop.
Save ganesh3/c4c8776a581477619698bdc58ac22605 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import numpy as np\nimport pandas as pd\nimport matplotlib.pyplot as plt\n\nfrom sklearn.linear_model import LinearRegression\nfrom mpl_toolkits.mplot3d import axes3d\n\npd.set_option('display.notebook_repr_html', False)\npd.set_option('display.max_columns', None)\npd.set_option('display.max_rows', 150)\npd.set_option('display.max_seq_items', None)\n \n#%config InlineBackend.figure_formats = {'pdf',}\n%matplotlib inline \n\nimport seaborn as sns\nsns.set_context('notebook')\nsns.set_style('white')\n\n#import dataset\ndata = pd.read_csv('ex1data1.txt', header = None)\ntype(data)\n\n#Get X & y from pandas datafram\nX = data.iloc[:, 0]\ny = data.iloc[:, 1]\n\n#first few rows of X\nX.head()",
"execution_count": 164,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 164,
"data": {
"text/plain": "0 6.1101\n1 5.5277\n2 8.5186\n3 7.0032\n4 5.8598\nName: 0, dtype: float64"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "#first few rows of y\ny.head()",
"execution_count": 165,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 165,
"data": {
"text/plain": "0 17.5920\n1 9.1302\n2 13.6620\n3 11.8540\n4 6.8233\nName: 1, dtype: float64"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "#number of training examples\nm=len(y)\n\n#plot X & Y\nplt.scatter(X, y)\nplt.title('Plot of X and Y', fontsize = 14)\nplt.xlabel('Population of City in 10,000s')\nplt.ylabel('Profit in $10,000s')\nplt.show()",
"execution_count": 166,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "#add a column/intercept of ones to X\n#np.newaxis is used if you want to convert 1-D array (shape: N elements) into row vector (shape: N rows, 1 column) or column vector (shape: 1 row, N columns). Here we are rearranging X and y into column vectors\nX = X[:,np.newaxis]\ny = y[:,np.newaxis]\nones = np.ones((m,1))\nX = np.hstack((ones, X))",
"execution_count": 167,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "#set theta\ntheta = np.zeros((2,1))\n \n#set iterations & alpha\niterations = 1500\nalpha = 0.01",
"execution_count": 168,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def computeCost(X, y, theta):\n m=len(y)\n predictions = np.dot(X, theta)\n sqerrors = np.sum(np.power((predictions - y), 2))\n J = (sqerrors/(2*m))\n \n return J",
"execution_count": 169,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "J = computeCost(X, y, theta)\nprint(J)",
"execution_count": 170,
"outputs": [
{
"output_type": "stream",
"text": "32.072733877455676\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "A = computeCost(X, y, np.matrix([[-1],[2]]))\nprint(A)",
"execution_count": 171,
"outputs": [
{
"output_type": "stream",
"text": "54.24245508201238\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def gradientDescent(X, y, theta, alpha, num_iters):\n m = len(y)\n J_history = np.zeros((num_iters,1))\n \n for iter in np.arange(num_iters):\n h = X.dot(theta)\n theta = theta - alpha*(1/m)*(X.T.dot(h-y))\n J_history[iter] = computeCost(X, y, theta)\n return(theta, J_history)",
"execution_count": 172,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "theta, Cost_J = gradientDescent(X, y, theta, alpha, iterations)\nprint('theta: ',theta.ravel())\n\nplt.plot(Cost_J)\nplt.ylabel('Cost J')\nplt.xlabel('Iterations');",
"execution_count": 173,
"outputs": [
{
"output_type": "stream",
"text": "theta: [-3.63029144 1.16636235]\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "J = computeCost(X, y, theta)\nprint(J)",
"execution_count": 174,
"outputs": [
{
"output_type": "stream",
"text": "4.483388256587726\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plt.scatter(X[:, 1], y)\nplt.xlabel('Population of City in 10,000s')\nplt.ylabel('Profit in $10,000s')\nplt.plot(X[:,1], np.dot(X, theta))\nplt.show()\n",
"execution_count": 175,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "xx = np.arange(5, 23)\nyy = theta[0] + theta[1] * xx\n\n#Plot Gradient Descent\nplt.scatter(X[:, 1], y, s=30, c='r', marker='x', linewidths=1)\nplt.plot(xx, yy, label = 'Linear Regression (Gradient Descent)')\n\n# Compare with Scikit-learn Linear regression \nregr = LinearRegression()\nregr.fit(X[:,1].reshape(-1,1), y.ravel())\nplt.plot(xx, regr.intercept_ + regr.coef_ * xx, label='Linear regression (Scikit-learn GLM)')\n\nplt.xlim(4,24)\nplt.xlabel('Population of City in 10,000s')\nplt.ylabel('Profit in $10,000s')\nplt.legend(loc=4);",
"execution_count": 176,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# Predict profit for a city with population of 35000 and 70000\nprint(theta.T.dot([1, 3.5])*10000)\nprint(theta.T.dot([1, 7])*10000)",
"execution_count": 177,
"outputs": [
{
"output_type": "stream",
"text": "[4519.7678677]\n[45342.45012945]\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# Create grid coordinates for plotting\nB0 = np.linspace(-10,10, 50)\nB1 = np.linspace(-1,4, 50)\n\nxx,yy = np.meshgrid(B0, B1, indexing = 'xy')\nZ = np.zeros((B0.size, B1.size))\n\n# Calculate Z-values (Cost) based on grid of coefficients\nfor (i,j),v in np.ndenumerate(Z):\n Z[i,j] = computeCost(X,y, theta=[[xx[i,j]], [yy[i,j]]])\n\nfig = plt.figure(figsize=(15,6))\nax1 = fig.add_subplot(121)\nax2 = fig.add_subplot(122, projection='3d')\n\n# Left plot\nCS = ax1.contour(xx, yy, Z, np.logspace(-2, 3, 20), cmap=plt.cm.jet)\nax1.scatter(theta[0],theta[1], c='r')\n\n# Right plot\nax2.plot_surface(xx, yy, Z, rstride=1, cstride=1, alpha=0.6, cmap=plt.cm.jet)\nax2.plot(theta[0], theta[1], 'ro')\nax2.set_zlabel('Cost')\nax2.set_zlim(Z.min(),Z.max())\nax2.view_init(elev=15, azim=230)\n\n# settings common to both plots\n\nfor ax in fig.axes:\n ax.set_xlabel(r'$\\theta_0$', fontsize=17)\n ax.set_ylabel(r'$\\theta_1$', fontsize=17)",
"execution_count": 182,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 1080x432 with 2 Axes>",
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
},
"toc": {
"nav_menu": {},
"number_sections": false,
"sideBar": false,
"skip_h1_title": false,
"base_numbering": 1,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": false,
"toc_window_display": false
},
"language_info": {
"name": "python",
"version": "3.6.6",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"widgets": {
"application/vnd.jupyter.widget-state+json": {
"version_major": 2,
"version_minor": 0,
"state": {
"8344d83038c34b899b421ed342129513": {
"model_name": "LayoutModel",
"model_module": "@jupyter-widgets/base",
"model_module_version": "*",
"state": {
"_model_module_version": "*",
"_view_module_version": "*"
}
},
"86732e5a12244cc6af2d26e3b3a3f52a": {
"model_name": "TableDisplayModel",
"model_module": "beakerx",
"model_module_version": "*",
"state": {
"layout": "IPY_MODEL_8344d83038c34b899b421ed342129513",
"model": {
"alignmentForColumn": {},
"alignmentForType": {},
"cellHighlighters": [],
"columnNames": [
0,
0,
0
],
"columnOrder": [],
"columnsFrozen": {},
"columnsFrozenRight": {},
"columnsVisible": {},
"contextMenuItems": [],
"contextMenuTags": {},
"fontColor": [],
"hasDoubleClickAction": false,
"headersVertical": false,
"rendererForColumn": {},
"rendererForType": {},
"stringFormatForColumn": {},
"stringFormatForType": {},
"subtype": "ListOfMaps",
"tooManyRows": false,
"tooltips": [],
"type": "TableDisplay",
"types": [
"string",
"string",
"string"
],
"values": [
[
"[1. 1. 6.1101]",
"[1. 1. 6.1101]",
"[1. 1. 6.1101]"
],
[
"[1. 1. 5.5277]",
"[1. 1. 5.5277]",
"[1. 1. 5.5277]"
],
[
"[1. 1. 8.5186]",
"[1. 1. 8.5186]",
"[1. 1. 8.5186]"
],
[
"[1. 1. 7.0032]",
"[1. 1. 7.0032]",
"[1. 1. 7.0032]"
],
[
"[1. 1. 5.8598]",
"[1. 1. 5.8598]",
"[1. 1. 5.8598]"
]
]
}
}
},
"240d18fc80f14ee7bea40bc6654e7c7a": {
"model_name": "LayoutModel",
"model_module": "@jupyter-widgets/base",
"model_module_version": "*",
"state": {
"_model_module_version": "*",
"_view_module_version": "*"
}
},
"37f9d48dc1c948e1b94589765de1099c": {
"model_name": "TableDisplayModel",
"model_module": "beakerx",
"model_module_version": "*",
"state": {
"layout": "IPY_MODEL_240d18fc80f14ee7bea40bc6654e7c7a",
"model": {
"alignmentForColumn": {},
"alignmentForType": {},
"cellHighlighters": [],
"columnNames": [
0,
0,
0,
0
],
"columnOrder": [],
"columnsFrozen": {},
"columnsFrozenRight": {},
"columnsVisible": {},
"contextMenuItems": [],
"contextMenuTags": {},
"fontColor": [],
"hasDoubleClickAction": false,
"headersVertical": false,
"rendererForColumn": {},
"rendererForType": {},
"stringFormatForColumn": {},
"stringFormatForType": {},
"subtype": "ListOfMaps",
"tooManyRows": false,
"tooltips": [],
"type": "TableDisplay",
"types": [
"string",
"string",
"string",
"string"
],
"values": [
[
"[1. 1. 1. 6.1101]",
"[1. 1. 1. 6.1101]",
"[1. 1. 1. 6.1101]",
"[1. 1. 1. 6.1101]"
],
[
"[1. 1. 1. 5.5277]",
"[1. 1. 1. 5.5277]",
"[1. 1. 1. 5.5277]",
"[1. 1. 1. 5.5277]"
],
[
"[1. 1. 1. 8.5186]",
"[1. 1. 1. 8.5186]",
"[1. 1. 1. 8.5186]",
"[1. 1. 1. 8.5186]"
],
[
"[1. 1. 1. 7.0032]",
"[1. 1. 1. 7.0032]",
"[1. 1. 1. 7.0032]",
"[1. 1. 1. 7.0032]"
],
[
"[1. 1. 1. 5.8598]",
"[1. 1. 1. 5.8598]",
"[1. 1. 1. 5.8598]",
"[1. 1. 1. 5.8598]"
]
]
}
}
},
"15f618f8595841779e0e7dd67ff6d9fe": {
"model_name": "LayoutModel",
"model_module": "@jupyter-widgets/base",
"model_module_version": "*",
"state": {
"_model_module_version": "*",
"_view_module_version": "*"
}
},
"d9a10d792f20448fb8e48ef685b11e05": {
"model_name": "TableDisplayModel",
"model_module": "beakerx",
"model_module_version": "*",
"state": {
"layout": "IPY_MODEL_15f618f8595841779e0e7dd67ff6d9fe",
"model": {
"alignmentForColumn": {},
"alignmentForType": {},
"cellHighlighters": [],
"columnNames": [
0,
0,
0,
0,
0
],
"columnOrder": [],
"columnsFrozen": {},
"columnsFrozenRight": {},
"columnsVisible": {},
"contextMenuItems": [],
"contextMenuTags": {},
"fontColor": [],
"hasDoubleClickAction": false,
"headersVertical": false,
"rendererForColumn": {},
"rendererForType": {},
"stringFormatForColumn": {},
"stringFormatForType": {},
"subtype": "ListOfMaps",
"tooManyRows": false,
"tooltips": [],
"type": "TableDisplay",
"types": [
"string",
"string",
"string",
"string",
"string"
],
"values": [
[
"[1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 6.1101]"
],
[
"[1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 5.5277]"
],
[
"[1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 8.5186]"
],
[
"[1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 7.0032]"
],
[
"[1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 5.8598]"
]
]
}
}
},
"ff8cf5fded304bb9b03568a71e833228": {
"model_name": "LayoutModel",
"model_module": "@jupyter-widgets/base",
"model_module_version": "*",
"state": {
"_model_module_version": "*",
"_view_module_version": "*"
}
},
"6aebb01048f94f87873a17cfdba16e3c": {
"model_name": "TableDisplayModel",
"model_module": "beakerx",
"model_module_version": "*",
"state": {
"layout": "IPY_MODEL_ff8cf5fded304bb9b03568a71e833228",
"model": {
"alignmentForColumn": {},
"alignmentForType": {},
"cellHighlighters": [],
"columnNames": [
0,
0,
0,
0,
0
],
"columnOrder": [],
"columnsFrozen": {},
"columnsFrozenRight": {},
"columnsVisible": {},
"contextMenuItems": [],
"contextMenuTags": {},
"fontColor": [],
"hasDoubleClickAction": false,
"headersVertical": false,
"rendererForColumn": {},
"rendererForType": {},
"stringFormatForColumn": {},
"stringFormatForType": {},
"subtype": "ListOfMaps",
"tooManyRows": false,
"tooltips": [],
"type": "TableDisplay",
"types": [
"string",
"string",
"string",
"string",
"string"
],
"values": [
[
"[1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 6.1101]"
],
[
"[1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 5.5277]"
],
[
"[1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 8.5186]"
],
[
"[1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 7.0032]"
],
[
"[1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 5.8598]"
]
]
}
}
},
"c01e86cb26e94557a76303f4a4a6a4b7": {
"model_name": "LayoutModel",
"model_module": "@jupyter-widgets/base",
"model_module_version": "*",
"state": {
"_model_module_version": "*",
"_view_module_version": "*"
}
},
"e8f007a2f31f4ece9183fe55510822ad": {
"model_name": "TableDisplayModel",
"model_module": "beakerx",
"model_module_version": "*",
"state": {
"layout": "IPY_MODEL_c01e86cb26e94557a76303f4a4a6a4b7",
"model": {
"alignmentForColumn": {},
"alignmentForType": {},
"cellHighlighters": [],
"columnNames": [
0,
0,
0,
0,
0,
0
],
"columnOrder": [],
"columnsFrozen": {},
"columnsFrozenRight": {},
"columnsVisible": {},
"contextMenuItems": [],
"contextMenuTags": {},
"fontColor": [],
"hasDoubleClickAction": false,
"headersVertical": false,
"rendererForColumn": {},
"rendererForType": {},
"stringFormatForColumn": {},
"stringFormatForType": {},
"subtype": "ListOfMaps",
"tooManyRows": false,
"tooltips": [],
"type": "TableDisplay",
"types": [
"string",
"string",
"string",
"string",
"string",
"string"
],
"values": [
[
"[1. 1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 1. 6.1101]"
],
[
"[1. 1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 1. 5.5277]"
],
[
"[1. 1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 1. 8.5186]"
],
[
"[1. 1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 1. 7.0032]"
],
[
"[1. 1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 1. 5.8598]"
]
]
}
}
},
"622a8650adb24271b408fa3c69e2f0b6": {
"model_name": "LayoutModel",
"model_module": "@jupyter-widgets/base",
"model_module_version": "*",
"state": {
"_model_module_version": "*",
"_view_module_version": "*"
}
},
"56c0766cda3546258547e43ce447ec78": {
"model_name": "TableDisplayModel",
"model_module": "beakerx",
"model_module_version": "*",
"state": {
"layout": "IPY_MODEL_622a8650adb24271b408fa3c69e2f0b6",
"model": {
"alignmentForColumn": {},
"alignmentForType": {},
"cellHighlighters": [],
"columnNames": [
0,
0,
0,
0,
0,
0,
0
],
"columnOrder": [],
"columnsFrozen": {},
"columnsFrozenRight": {},
"columnsVisible": {},
"contextMenuItems": [],
"contextMenuTags": {},
"fontColor": [],
"hasDoubleClickAction": false,
"headersVertical": false,
"rendererForColumn": {},
"rendererForType": {},
"stringFormatForColumn": {},
"stringFormatForType": {},
"subtype": "ListOfMaps",
"tooManyRows": false,
"tooltips": [],
"type": "TableDisplay",
"types": [
"string",
"string",
"string",
"string",
"string",
"string",
"string"
],
"values": [
[
"[1. 1. 1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 1. 1. 6.1101]",
"[1. 1. 1. 1. 1. 1. 6.1101]"
],
[
"[1. 1. 1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 1. 1. 5.5277]",
"[1. 1. 1. 1. 1. 1. 5.5277]"
],
[
"[1. 1. 1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 1. 1. 8.5186]",
"[1. 1. 1. 1. 1. 1. 8.5186]"
],
[
"[1. 1. 1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 1. 1. 7.0032]",
"[1. 1. 1. 1. 1. 1. 7.0032]"
],
[
"[1. 1. 1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 1. 1. 5.8598]",
"[1. 1. 1. 1. 1. 1. 5.8598]"
]
]
}
}
}
}
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment