{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Installation"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# run this cell to install pycaret in Google Colab\n",
"# !pip install pycaret"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# If you are using Jupyter notebook, you can pip install pycaret using jupyter notebook or command line\n",
"# pip install pycaret"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.0.0\n"
]
}
],
"source": [
"from pycaret.utils import version\n",
"version()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 1. Importing Dataset"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Carat Weight | \n",
" Cut | \n",
" Color | \n",
" Clarity | \n",
" Polish | \n",
" Symmetry | \n",
" Report | \n",
" Price | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 1.10 | \n",
" Ideal | \n",
" H | \n",
" SI1 | \n",
" VG | \n",
" EX | \n",
" GIA | \n",
" 5169 | \n",
"
\n",
" \n",
" 1 | \n",
" 0.83 | \n",
" Ideal | \n",
" H | \n",
" VS1 | \n",
" ID | \n",
" ID | \n",
" AGSL | \n",
" 3470 | \n",
"
\n",
" \n",
" 2 | \n",
" 0.85 | \n",
" Ideal | \n",
" H | \n",
" SI1 | \n",
" EX | \n",
" EX | \n",
" GIA | \n",
" 3183 | \n",
"
\n",
" \n",
" 3 | \n",
" 0.91 | \n",
" Ideal | \n",
" E | \n",
" SI1 | \n",
" VG | \n",
" VG | \n",
" GIA | \n",
" 4370 | \n",
"
\n",
" \n",
" 4 | \n",
" 0.83 | \n",
" Ideal | \n",
" G | \n",
" SI1 | \n",
" EX | \n",
" EX | \n",
" GIA | \n",
" 3171 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Carat Weight Cut Color Clarity Polish Symmetry Report Price\n",
"0 1.10 Ideal H SI1 VG EX GIA 5169\n",
"1 0.83 Ideal H VS1 ID ID AGSL 3470\n",
"2 0.85 Ideal H SI1 EX EX GIA 3183\n",
"3 0.91 Ideal E SI1 VG VG GIA 4370\n",
"4 0.83 Ideal G SI1 EX EX GIA 3171"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pycaret.datasets import get_data\n",
"data = get_data('diamond')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2. Iteration 1: (without preprocessing)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" \n",
"Setup Succesfully Completed!\n"
]
},
{
"data": {
"text/html": [
" | Description | Value |
\n",
" \n",
" 0 | \n",
" session_id | \n",
" 786 | \n",
"
\n",
" \n",
" 1 | \n",
" Transform Target | \n",
" False | \n",
"
\n",
" \n",
" 2 | \n",
" Transform Target Method | \n",
" None | \n",
"
\n",
" \n",
" 3 | \n",
" Original Data | \n",
" (6000, 8) | \n",
"
\n",
" \n",
" 4 | \n",
" Missing Values | \n",
" False | \n",
"
\n",
" \n",
" 5 | \n",
" Numeric Features | \n",
" 1 | \n",
"
\n",
" \n",
" 6 | \n",
" Categorical Features | \n",
" 6 | \n",
"
\n",
" \n",
" 7 | \n",
" Ordinal Features | \n",
" False | \n",
"
\n",
" \n",
" 8 | \n",
" High Cardinality Features | \n",
" False | \n",
"
\n",
" \n",
" 9 | \n",
" High Cardinality Method | \n",
" None | \n",
"
\n",
" \n",
" 10 | \n",
" Sampled Data | \n",
" (6000, 8) | \n",
"
\n",
" \n",
" 11 | \n",
" Transformed Train Set | \n",
" (4199, 28) | \n",
"
\n",
" \n",
" 12 | \n",
" Transformed Test Set | \n",
" (1801, 28) | \n",
"
\n",
" \n",
" 13 | \n",
" Numeric Imputer | \n",
" mean | \n",
"
\n",
" \n",
" 14 | \n",
" Categorical Imputer | \n",
" constant | \n",
"
\n",
" \n",
" 15 | \n",
" Normalize | \n",
" False | \n",
"
\n",
" \n",
" 16 | \n",
" Normalize Method | \n",
" None | \n",
"
\n",
" \n",
" 17 | \n",
" Transformation | \n",
" False | \n",
"
\n",
" \n",
" 18 | \n",
" Transformation Method | \n",
" None | \n",
"
\n",
" \n",
" 19 | \n",
" PCA | \n",
" False | \n",
"
\n",
" \n",
" 20 | \n",
" PCA Method | \n",
" None | \n",
"
\n",
" \n",
" 21 | \n",
" PCA Components | \n",
" None | \n",
"
\n",
" \n",
" 22 | \n",
" Ignore Low Variance | \n",
" False | \n",
"
\n",
" \n",
" 23 | \n",
" Combine Rare Levels | \n",
" False | \n",
"
\n",
" \n",
" 24 | \n",
" Rare Level Threshold | \n",
" None | \n",
"
\n",
" \n",
" 25 | \n",
" Numeric Binning | \n",
" False | \n",
"
\n",
" \n",
" 26 | \n",
" Remove Outliers | \n",
" False | \n",
"
\n",
" \n",
" 27 | \n",
" Outliers Threshold | \n",
" None | \n",
"
\n",
" \n",
" 28 | \n",
" Remove Multicollinearity | \n",
" False | \n",
"
\n",
" \n",
" 29 | \n",
" Multicollinearity Threshold | \n",
" None | \n",
"
\n",
" \n",
" 30 | \n",
" Clustering | \n",
" False | \n",
"
\n",
" \n",
" 31 | \n",
" Clustering Iteration | \n",
" None | \n",
"
\n",
" \n",
" 32 | \n",
" Polynomial Features | \n",
" False | \n",
"
\n",
" \n",
" 33 | \n",
" Polynomial Degree | \n",
" None | \n",
"
\n",
" \n",
" 34 | \n",
" Trignometry Features | \n",
" False | \n",
"
\n",
" \n",
" 35 | \n",
" Polynomial Threshold | \n",
" None | \n",
"
\n",
" \n",
" 36 | \n",
" Group Features | \n",
" False | \n",
"
\n",
" \n",
" 37 | \n",
" Feature Selection | \n",
" False | \n",
"
\n",
" \n",
" 38 | \n",
" Features Selection Threshold | \n",
" None | \n",
"
\n",
" \n",
" 39 | \n",
" Feature Interaction | \n",
" False | \n",
"
\n",
" \n",
" 40 | \n",
" Feature Ratio | \n",
" False | \n",
"
\n",
" \n",
" 41 | \n",
" Interaction Threshold | \n",
" None | \n",
"
\n",
"
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pycaret.regression import *\n",
"reg1 = setup(data, target = 'Price', session_id=786)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.1. Compare Models"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" | Model | MAE | MSE | RMSE | R2 | RMSLE | MAPE |
\n",
" \n",
" 0 | \n",
" Extra Trees Regressor | \n",
" 758.154 | \n",
" 2.34135e+06 | \n",
" 1504.97 | \n",
" 0.9771 | \n",
" 0.0815 | \n",
" 0.0607 | \n",
"
\n",
" \n",
" 1 | \n",
" Light Gradient Boosting Machine | \n",
" 761.549 | \n",
" 2.89163e+06 | \n",
" 1663.59 | \n",
" 0.9717 | \n",
" 0.0786 | \n",
" 0.0575 | \n",
"
\n",
" \n",
" 2 | \n",
" Random Forest | \n",
" 774.567 | \n",
" 2.8933e+06 | \n",
" 1656.46 | \n",
" 0.9715 | \n",
" 0.0817 | \n",
" 0.06 | \n",
"
\n",
" \n",
" 3 | \n",
" Gradient Boosting Regressor | \n",
" 917.863 | \n",
" 3.27944e+06 | \n",
" 1781.35 | \n",
" 0.9686 | \n",
" 0.1005 | \n",
" 0.0766 | \n",
"
\n",
" \n",
" 4 | \n",
" Extreme Gradient Boosting | \n",
" 937.934 | \n",
" 3.31544e+06 | \n",
" 1794.93 | \n",
" 0.9685 | \n",
" 0.1041 | \n",
" 0.0791 | \n",
"
\n",
" \n",
" 5 | \n",
" Decision Tree | \n",
" 1006.44 | \n",
" 4.68776e+06 | \n",
" 2119.35 | \n",
" 0.9542 | \n",
" 0.1087 | \n",
" 0.0781 | \n",
"
\n",
" \n",
" 6 | \n",
" Ridge Regression | \n",
" 2506.94 | \n",
" 1.50491e+07 | \n",
" 3851.67 | \n",
" 0.8571 | \n",
" 0.6734 | \n",
" 0.2947 | \n",
"
\n",
" \n",
" 7 | \n",
" Lasso Regression | \n",
" 2506.12 | \n",
" 1.51239e+07 | \n",
" 3862.55 | \n",
" 0.8559 | \n",
" 0.6749 | \n",
" 0.2941 | \n",
"
\n",
" \n",
" 8 | \n",
" Lasso Least Angle Regression | \n",
" 2448.99 | \n",
" 1.51673e+07 | \n",
" 3865.12 | \n",
" 0.8559 | \n",
" 0.6613 | \n",
" 0.2801 | \n",
"
\n",
" \n",
" 9 | \n",
" Bayesian Ridge | \n",
" 2509.28 | \n",
" 1.51337e+07 | \n",
" 3863.81 | \n",
" 0.8559 | \n",
" 0.6743 | \n",
" 0.2947 | \n",
"
\n",
" \n",
" 10 | \n",
" Least Angle Regression | \n",
" 2510.84 | \n",
" 1.51522e+07 | \n",
" 3866.2 | \n",
" 0.8555 | \n",
" 0.6652 | \n",
" 0.2951 | \n",
"
\n",
" \n",
" 11 | \n",
" Linear Regression | \n",
" 2519.15 | \n",
" 1.52134e+07 | \n",
" 3873.88 | \n",
" 0.8548 | \n",
" 0.6761 | \n",
" 0.2965 | \n",
"
\n",
" \n",
" 12 | \n",
" Huber Regressor | \n",
" 1993.96 | \n",
" 1.99467e+07 | \n",
" 4398.57 | \n",
" 0.815 | \n",
" 0.3986 | \n",
" 0.1685 | \n",
"
\n",
" \n",
" 13 | \n",
" Passive Aggressive Regressor | \n",
" 1998.02 | \n",
" 2.13579e+07 | \n",
" 4555.45 | \n",
" 0.8013 | \n",
" 0.4056 | \n",
" 0.1611 | \n",
"
\n",
" \n",
" 14 | \n",
" Orthogonal Matching Pursuit | \n",
" 2826.28 | \n",
" 2.51e+07 | \n",
" 4973.64 | \n",
" 0.7618 | \n",
" 0.5141 | \n",
" 0.2624 | \n",
"
\n",
" \n",
" 15 | \n",
" AdaBoost Regressor | \n",
" 4251.68 | \n",
" 2.51446e+07 | \n",
" 5003.14 | \n",
" 0.752 | \n",
" 0.4869 | \n",
" 0.5655 | \n",
"
\n",
" \n",
" 16 | \n",
" K Neighbors Regressor | \n",
" 2965.21 | \n",
" 3.00581e+07 | \n",
" 5445.05 | \n",
" 0.714 | \n",
" 0.3605 | \n",
" 0.2698 | \n",
"
\n",
" \n",
" 17 | \n",
" Elastic Net | \n",
" 5143.06 | \n",
" 5.87909e+07 | \n",
" 7612.11 | \n",
" 0.4436 | \n",
" 0.5409 | \n",
" 0.5899 | \n",
"
\n",
" \n",
" 18 | \n",
" Support Vector Machine | \n",
" 6598.12 | \n",
" 1.19836e+08 | \n",
" 10894 | \n",
" -0.1438 | \n",
" 0.7163 | \n",
" 0.5321 | \n",
"
\n",
" \n",
" 19 | \n",
" Random Sample Consensus | \n",
" 6.4933e+12 | \n",
" 1.03934e+29 | \n",
" 1.33073e+14 | \n",
" -1.09995e+21 | \n",
" 0.7047 | \n",
" 1.00189e+08 | \n",
"
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"compare_models(blacklist = ['tr', 'catboost'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.2 Create Model"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" MAE | \n",
" MSE | \n",
" RMSE | \n",
" R2 | \n",
" RMSLE | \n",
" MAPE | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 2363.3381 | \n",
" 1.123549e+07 | \n",
" 3351.9387 | \n",
" 0.8739 | \n",
" 0.6076 | \n",
" 0.3036 | \n",
"
\n",
" \n",
" 1 | \n",
" 2411.4881 | \n",
" 1.411622e+07 | \n",
" 3757.1552 | \n",
" 0.8561 | \n",
" 0.6370 | \n",
" 0.3063 | \n",
"
\n",
" \n",
" 2 | \n",
" 2533.7810 | \n",
" 1.506909e+07 | \n",
" 3881.8924 | \n",
" 0.8056 | \n",
" 0.7226 | \n",
" 0.3172 | \n",
"
\n",
" \n",
" 3 | \n",
" 2614.8429 | \n",
" 1.532942e+07 | \n",
" 3915.2802 | \n",
" 0.8512 | \n",
" 0.7230 | \n",
" 0.2986 | \n",
"
\n",
" \n",
" 4 | \n",
" 2790.3524 | \n",
" 2.231435e+07 | \n",
" 4723.8066 | \n",
" 0.8435 | \n",
" 0.7523 | \n",
" 0.3060 | \n",
"
\n",
" \n",
" 5 | \n",
" 2541.1524 | \n",
" 1.795197e+07 | \n",
" 4236.9771 | \n",
" 0.8588 | \n",
" 0.6868 | \n",
" 0.2750 | \n",
"
\n",
" \n",
" 6 | \n",
" 2754.2667 | \n",
" 1.922224e+07 | \n",
" 4384.3176 | \n",
" 0.8507 | \n",
" 0.8454 | \n",
" 0.3088 | \n",
"
\n",
" \n",
" 7 | \n",
" 2300.2905 | \n",
" 1.034745e+07 | \n",
" 3216.7459 | \n",
" 0.8810 | \n",
" 0.5644 | \n",
" 0.2801 | \n",
"
\n",
" \n",
" 8 | \n",
" 2453.0810 | \n",
" 1.502701e+07 | \n",
" 3876.4688 | \n",
" 0.8583 | \n",
" 0.5913 | \n",
" 0.2940 | \n",
"
\n",
" \n",
" 9 | \n",
" 2428.9021 | \n",
" 1.152096e+07 | \n",
" 3394.2538 | \n",
" 0.8685 | \n",
" 0.6308 | \n",
" 0.2749 | \n",
"
\n",
" \n",
" Mean | \n",
" 2519.1495 | \n",
" 1.521342e+07 | \n",
" 3873.8836 | \n",
" 0.8548 | \n",
" 0.6761 | \n",
" 0.2965 | \n",
"
\n",
" \n",
" SD | \n",
" 153.2852 | \n",
" 3.583325e+06 | \n",
" 454.3633 | \n",
" 0.0196 | \n",
" 0.0818 | \n",
" 0.0142 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" MAE MSE RMSE R2 RMSLE MAPE\n",
"0 2363.3381 1.123549e+07 3351.9387 0.8739 0.6076 0.3036\n",
"1 2411.4881 1.411622e+07 3757.1552 0.8561 0.6370 0.3063\n",
"2 2533.7810 1.506909e+07 3881.8924 0.8056 0.7226 0.3172\n",
"3 2614.8429 1.532942e+07 3915.2802 0.8512 0.7230 0.2986\n",
"4 2790.3524 2.231435e+07 4723.8066 0.8435 0.7523 0.3060\n",
"5 2541.1524 1.795197e+07 4236.9771 0.8588 0.6868 0.2750\n",
"6 2754.2667 1.922224e+07 4384.3176 0.8507 0.8454 0.3088\n",
"7 2300.2905 1.034745e+07 3216.7459 0.8810 0.5644 0.2801\n",
"8 2453.0810 1.502701e+07 3876.4688 0.8583 0.5913 0.2940\n",
"9 2428.9021 1.152096e+07 3394.2538 0.8685 0.6308 0.2749\n",
"Mean 2519.1495 1.521342e+07 3873.8836 0.8548 0.6761 0.2965\n",
"SD 153.2852 3.583325e+06 454.3633 0.0196 0.0818 0.0142"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lr = create_model('lr')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2.3 Plot Model"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(lr)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(lr, plot = 'error')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(lr, plot = 'feature')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3. Iteration 2: (with preprocessing)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": []
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# profile = True\n",
"data = get_data('diamond', profile = True)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" \n",
"Setup Succesfully Completed!\n"
]
},
{
"data": {
"text/html": [
" | Description | Value |
\n",
" \n",
" 0 | \n",
" session_id | \n",
" 786 | \n",
"
\n",
" \n",
" 1 | \n",
" Transform Target | \n",
" True | \n",
"
\n",
" \n",
" 2 | \n",
" Transform Target Method | \n",
" box-cox | \n",
"
\n",
" \n",
" 3 | \n",
" Original Data | \n",
" (6000, 8) | \n",
"
\n",
" \n",
" 4 | \n",
" Missing Values | \n",
" False | \n",
"
\n",
" \n",
" 5 | \n",
" Numeric Features | \n",
" 1 | \n",
"
\n",
" \n",
" 6 | \n",
" Categorical Features | \n",
" 6 | \n",
"
\n",
" \n",
" 7 | \n",
" Ordinal Features | \n",
" False | \n",
"
\n",
" \n",
" 8 | \n",
" High Cardinality Features | \n",
" False | \n",
"
\n",
" \n",
" 9 | \n",
" High Cardinality Method | \n",
" None | \n",
"
\n",
" \n",
" 10 | \n",
" Sampled Data | \n",
" (6000, 8) | \n",
"
\n",
" \n",
" 11 | \n",
" Transformed Train Set | \n",
" (4199, 65) | \n",
"
\n",
" \n",
" 12 | \n",
" Transformed Test Set | \n",
" (1801, 65) | \n",
"
\n",
" \n",
" 13 | \n",
" Numeric Imputer | \n",
" mean | \n",
"
\n",
" \n",
" 14 | \n",
" Categorical Imputer | \n",
" constant | \n",
"
\n",
" \n",
" 15 | \n",
" Normalize | \n",
" False | \n",
"
\n",
" \n",
" 16 | \n",
" Normalize Method | \n",
" None | \n",
"
\n",
" \n",
" 17 | \n",
" Transformation | \n",
" False | \n",
"
\n",
" \n",
" 18 | \n",
" Transformation Method | \n",
" None | \n",
"
\n",
" \n",
" 19 | \n",
" PCA | \n",
" False | \n",
"
\n",
" \n",
" 20 | \n",
" PCA Method | \n",
" None | \n",
"
\n",
" \n",
" 21 | \n",
" PCA Components | \n",
" None | \n",
"
\n",
" \n",
" 22 | \n",
" Ignore Low Variance | \n",
" False | \n",
"
\n",
" \n",
" 23 | \n",
" Combine Rare Levels | \n",
" False | \n",
"
\n",
" \n",
" 24 | \n",
" Rare Level Threshold | \n",
" None | \n",
"
\n",
" \n",
" 25 | \n",
" Numeric Binning | \n",
" True | \n",
"
\n",
" \n",
" 26 | \n",
" Remove Outliers | \n",
" False | \n",
"
\n",
" \n",
" 27 | \n",
" Outliers Threshold | \n",
" None | \n",
"
\n",
" \n",
" 28 | \n",
" Remove Multicollinearity | \n",
" True | \n",
"
\n",
" \n",
" 29 | \n",
" Multicollinearity Threshold | \n",
" 0.9 | \n",
"
\n",
" \n",
" 30 | \n",
" Clustering | \n",
" False | \n",
"
\n",
" \n",
" 31 | \n",
" Clustering Iteration | \n",
" None | \n",
"
\n",
" \n",
" 32 | \n",
" Polynomial Features | \n",
" False | \n",
"
\n",
" \n",
" 33 | \n",
" Polynomial Degree | \n",
" None | \n",
"
\n",
" \n",
" 34 | \n",
" Trignometry Features | \n",
" False | \n",
"
\n",
" \n",
" 35 | \n",
" Polynomial Threshold | \n",
" None | \n",
"
\n",
" \n",
" 36 | \n",
" Group Features | \n",
" False | \n",
"
\n",
" \n",
" 37 | \n",
" Feature Selection | \n",
" False | \n",
"
\n",
" \n",
" 38 | \n",
" Features Selection Threshold | \n",
" None | \n",
"
\n",
" \n",
" 39 | \n",
" Feature Interaction | \n",
" True | \n",
"
\n",
" \n",
" 40 | \n",
" Feature Ratio | \n",
" False | \n",
"
\n",
" \n",
" 41 | \n",
" Interaction Threshold | \n",
" 0.01 | \n",
"
\n",
"
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"reg2 = setup(data, target = 'Price', session_id=786,\n",
" transform_target = True,\n",
" bin_numeric_features=['Carat Weight'],\n",
" remove_multicollinearity=True,\n",
" feature_interaction=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.1 Create Model"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" MAE | \n",
" MSE | \n",
" RMSE | \n",
" R2 | \n",
" RMSLE | \n",
" MAPE | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 907.8528 | \n",
" 2.710289e+06 | \n",
" 1646.2954 | \n",
" 0.9696 | \n",
" 0.1149 | \n",
" 0.0857 | \n",
"
\n",
" \n",
" 1 | \n",
" 1058.5445 | \n",
" 5.217063e+06 | \n",
" 2284.0890 | \n",
" 0.9468 | \n",
" 0.1117 | \n",
" 0.0861 | \n",
"
\n",
" \n",
" 2 | \n",
" 1027.9557 | \n",
" 3.809926e+06 | \n",
" 1951.9033 | \n",
" 0.9509 | \n",
" 0.1204 | \n",
" 0.0915 | \n",
"
\n",
" \n",
" 3 | \n",
" 1081.5448 | \n",
" 4.150418e+06 | \n",
" 2037.2576 | \n",
" 0.9597 | \n",
" 0.1134 | \n",
" 0.0864 | \n",
"
\n",
" \n",
" 4 | \n",
" 1011.0021 | \n",
" 4.244906e+06 | \n",
" 2060.3169 | \n",
" 0.9702 | \n",
" 0.1146 | \n",
" 0.0873 | \n",
"
\n",
" \n",
" 5 | \n",
" 1214.4949 | \n",
" 6.033269e+06 | \n",
" 2456.2713 | \n",
" 0.9525 | \n",
" 0.1263 | \n",
" 0.0946 | \n",
"
\n",
" \n",
" 6 | \n",
" 940.0635 | \n",
" 5.191595e+06 | \n",
" 2278.5071 | \n",
" 0.9597 | \n",
" 0.1064 | \n",
" 0.0772 | \n",
"
\n",
" \n",
" 7 | \n",
" 1070.1651 | \n",
" 3.400733e+06 | \n",
" 1844.1075 | \n",
" 0.9609 | \n",
" 0.1331 | \n",
" 0.1017 | \n",
"
\n",
" \n",
" 8 | \n",
" 1055.0889 | \n",
" 5.147534e+06 | \n",
" 2268.8178 | \n",
" 0.9515 | \n",
" 0.1161 | \n",
" 0.0869 | \n",
"
\n",
" \n",
" 9 | \n",
" 1000.1140 | \n",
" 2.839241e+06 | \n",
" 1685.0048 | \n",
" 0.9676 | \n",
" 0.1156 | \n",
" 0.0870 | \n",
"
\n",
" \n",
" Mean | \n",
" 1036.6826 | \n",
" 4.274497e+06 | \n",
" 2051.2571 | \n",
" 0.9589 | \n",
" 0.1172 | \n",
" 0.0884 | \n",
"
\n",
" \n",
" SD | \n",
" 79.7326 | \n",
" 1.052960e+06 | \n",
" 258.5377 | \n",
" 0.0079 | \n",
" 0.0072 | \n",
" 0.0061 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" MAE MSE RMSE R2 RMSLE MAPE\n",
"0 907.8528 2.710289e+06 1646.2954 0.9696 0.1149 0.0857\n",
"1 1058.5445 5.217063e+06 2284.0890 0.9468 0.1117 0.0861\n",
"2 1027.9557 3.809926e+06 1951.9033 0.9509 0.1204 0.0915\n",
"3 1081.5448 4.150418e+06 2037.2576 0.9597 0.1134 0.0864\n",
"4 1011.0021 4.244906e+06 2060.3169 0.9702 0.1146 0.0873\n",
"5 1214.4949 6.033269e+06 2456.2713 0.9525 0.1263 0.0946\n",
"6 940.0635 5.191595e+06 2278.5071 0.9597 0.1064 0.0772\n",
"7 1070.1651 3.400733e+06 1844.1075 0.9609 0.1331 0.1017\n",
"8 1055.0889 5.147534e+06 2268.8178 0.9515 0.1161 0.0869\n",
"9 1000.1140 2.839241e+06 1685.0048 0.9676 0.1156 0.0870\n",
"Mean 1036.6826 4.274497e+06 2051.2571 0.9589 0.1172 0.0884\n",
"SD 79.7326 1.052960e+06 258.5377 0.0079 0.0072 0.0061"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lr2 = create_model('lr')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.2. Plot Model"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(lr2)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(lr2, plot = 'error')"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(lr2, plot = 'feature')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 4. Finalize Model"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Model | \n",
" MAE | \n",
" MSE | \n",
" RMSE | \n",
" R2 | \n",
" RMSLE | \n",
" MAPE | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" Linear Regression | \n",
" 963.3395 | \n",
" 3.971679e+06 | \n",
" 1992.9072 | \n",
" 0.9606 | \n",
" 0.1102 | \n",
" 0.084 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Model MAE MSE RMSE R2 RMSLE MAPE\n",
"0 Linear Regression 963.3395 3.971679e+06 1992.9072 0.9606 0.1102 0.084"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"holdout_pred = predict_model(lr2)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"final_lr = finalize_model(lr2)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None, normalize=False)\n"
]
}
],
"source": [
"print(final_lr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 5. Save Model"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Transformation Pipeline and Model Succesfully Saved\n"
]
}
],
"source": [
"save_model(final_lr, 'lr_smith_demo')"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Transformation Pipeline and Model Sucessfully Loaded\n"
]
}
],
"source": [
"lr_loaded = load_model('lr_smith_demo')"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[Pipeline(memory=None,\n",
" steps=[('dtypes',\n",
" DataTypes_Auto_infer(categorical_features=[],\n",
" display_types=True, features_todrop=[],\n",
" ml_usecase='regression',\n",
" numerical_features=[], target='Price',\n",
" time_features=[])),\n",
" ('imputer',\n",
" Simple_Imputer(categorical_strategy='not_available',\n",
" numeric_strategy='mean',\n",
" target_variable=None)),\n",
" ('new_levels1',\n",
" New_Catagorical_Levels_i...\n",
" ('feature_select', Empty()),\n",
" ('fix_multi',\n",
" Fix_multicollinearity(correlation_with_target_preference=None,\n",
" correlation_with_target_threshold=0.0,\n",
" target_variable='Price',\n",
" threshold=0.9)),\n",
" ('dfs',\n",
" DFS_Classic(interactions=['multiply'], ml_usecase='regression',\n",
" random_state=786, subclass='binary',\n",
" target='Price',\n",
" top_features_to_pick_percentage=None)),\n",
" ('pca', Empty())],\n",
" verbose=False), LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None, normalize=False), PowerTransformer(copy=True, method='box-cox', standardize=True)]\n"
]
}
],
"source": [
"print(lr_loaded)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Carat Weight | \n",
" Cut | \n",
" Color | \n",
" Clarity | \n",
" Polish | \n",
" Symmetry | \n",
" Report | \n",
" Price | \n",
" Label | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 1.10 | \n",
" Ideal | \n",
" H | \n",
" SI1 | \n",
" VG | \n",
" EX | \n",
" GIA | \n",
" 5169 | \n",
" 5641.2017 | \n",
"
\n",
" \n",
" 1 | \n",
" 0.83 | \n",
" Ideal | \n",
" H | \n",
" VS1 | \n",
" ID | \n",
" ID | \n",
" AGSL | \n",
" 3470 | \n",
" 3402.7208 | \n",
"
\n",
" \n",
" 2 | \n",
" 0.85 | \n",
" Ideal | \n",
" H | \n",
" SI1 | \n",
" EX | \n",
" EX | \n",
" GIA | \n",
" 3183 | \n",
" 3469.7911 | \n",
"
\n",
" \n",
" 3 | \n",
" 0.91 | \n",
" Ideal | \n",
" E | \n",
" SI1 | \n",
" VG | \n",
" VG | \n",
" GIA | \n",
" 4370 | \n",
" 3825.9821 | \n",
"
\n",
" \n",
" 4 | \n",
" 0.83 | \n",
" Ideal | \n",
" G | \n",
" SI1 | \n",
" EX | \n",
" EX | \n",
" GIA | \n",
" 3171 | \n",
" 3577.2618 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Carat Weight Cut Color Clarity Polish Symmetry Report Price Label\n",
"0 1.10 Ideal H SI1 VG EX GIA 5169 5641.2017\n",
"1 0.83 Ideal H VS1 ID ID AGSL 3470 3402.7208\n",
"2 0.85 Ideal H SI1 EX EX GIA 3183 3469.7911\n",
"3 0.91 Ideal E SI1 VG VG GIA 4370 3825.9821\n",
"4 0.83 Ideal G SI1 EX EX GIA 3171 3577.2618"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"predictions = predict_model(lr_loaded, data=data)\n",
"predictions.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 6. Deploy Model"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model Succesfully Deployed on AWS S3\n"
]
}
],
"source": [
"deploy_model(final_lr, model_name = 'lr_smith_demo', platform = 'aws',\n",
" authentication = {'bucket' : 'pycaret-test'})"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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"text/plain": [
" Carat Weight Cut Color Clarity Polish Symmetry Report Price Label\n",
"0 1.10 Ideal H SI1 VG EX GIA 5169 5641.2017\n",
"1 0.83 Ideal H VS1 ID ID AGSL 3470 3402.7208\n",
"2 0.85 Ideal H SI1 EX EX GIA 3183 3469.7911\n",
"3 0.91 Ideal E SI1 VG VG GIA 4370 3825.9821\n",
"4 0.83 Ideal G SI1 EX EX GIA 3171 3577.2618"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"predictions2 = predict_model('lr_smith_demo', data=data)\n",
"predictions2.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Learning Resources:\n",
"\n",
"- PyCaret Regression Module : https://www.pycaret.org/regression\n",
"- Regression Tutorial (Level Beginner) : https://pycaret.org/reg101/\n",
"- Regression Tutorial (Level Intermediate) : https://pycaret.org/reg102/"
]
}
],
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