{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Live shapper tutorial\n",
"\n",
"It is a live tutorial of the [shapper R package](https://github.com/ModelOriented/shapper). You can edit each chunk and re-run them (Ctrl+Enter)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Classification\n",
"## Load datasets"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Welcome to DALEX2 (version: 0.9).\n"
]
},
{
"data": {
"text/html": [
"
\n",
"gender | age | hours | evaluation | salary | status |
\n",
"\n",
"\tmale | 32.58267 | 41.88626 | 3 | 1 | fired |
\n",
"\tfemale | 41.21104 | 36.34339 | 2 | 5 | fired |
\n",
"\tmale | 37.70516 | 36.81718 | 3 | 0 | fired |
\n",
"\tfemale | 30.06051 | 38.96032 | 3 | 2 | fired |
\n",
"\tmale | 21.10283 | 62.15464 | 5 | 3 | promoted |
\n",
"\tmale | 40.11812 | 69.53973 | 2 | 0 | fired |
\n",
"\n",
"
\n"
],
"text/latex": [
"\\begin{tabular}{r|llllll}\n",
" gender & age & hours & evaluation & salary & status\\\\\n",
"\\hline\n",
"\t male & 32.58267 & 41.88626 & 3 & 1 & fired \\\\\n",
"\t female & 41.21104 & 36.34339 & 2 & 5 & fired \\\\\n",
"\t male & 37.70516 & 36.81718 & 3 & 0 & fired \\\\\n",
"\t female & 30.06051 & 38.96032 & 3 & 2 & fired \\\\\n",
"\t male & 21.10283 & 62.15464 & 5 & 3 & promoted\\\\\n",
"\t male & 40.11812 & 69.53973 & 2 & 0 & fired \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"gender | age | hours | evaluation | salary | status | \n",
"|---|---|---|---|---|---|\n",
"| male | 32.58267 | 41.88626 | 3 | 1 | fired | \n",
"| female | 41.21104 | 36.34339 | 2 | 5 | fired | \n",
"| male | 37.70516 | 36.81718 | 3 | 0 | fired | \n",
"| female | 30.06051 | 38.96032 | 3 | 2 | fired | \n",
"| male | 21.10283 | 62.15464 | 5 | 3 | promoted | \n",
"| male | 40.11812 | 69.53973 | 2 | 0 | fired | \n",
"\n",
"\n"
],
"text/plain": [
" gender age hours evaluation salary status \n",
"1 male 32.58267 41.88626 3 1 fired \n",
"2 female 41.21104 36.34339 2 5 fired \n",
"3 male 37.70516 36.81718 3 0 fired \n",
"4 female 30.06051 38.96032 3 2 fired \n",
"5 male 21.10283 62.15464 5 3 promoted\n",
"6 male 40.11812 69.53973 2 0 fired "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"library(\"DALEX2\")\n",
"Y_train <- HR$status\n",
"x_train <- HR[ , -6]\n",
"head(HR)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Let's build model"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"randomForest 4.6-14\n",
"Type rfNews() to see new features/changes/bug fixes.\n"
]
}
],
"source": [
"library(\"randomForest\")\n",
"set.seed(123)\n",
"model_rf <- randomForest(x = x_train, y = Y_train)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Here shapper starts"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" gender age hours evaluation salary _id_ _ylevel_ _yhat_ _yhat_mean_\n",
"1 male 32.58267 41.88626 3 1 1 fired 0.854 0.3755216\n",
"1.3 male 32.58267 41.88626 3 1 1 fired 0.854 0.3755216\n",
"1.4 male 32.58267 41.88626 3 1 1 fired 0.854 0.3755216\n",
"1.5 male 32.58267 41.88626 3 1 1 fired 0.854 0.3755216\n",
"1.6 male 32.58267 41.88626 3 1 1 fired 0.854 0.3755216\n",
"1.1 male 32.58267 41.88626 3 1 1 ok 0.144 0.2758111\n",
" _vname_ _attribution_ _sign_ _label_\n",
"1 gender -0.03312199 - randomForest\n",
"1.3 age 0.02135603 + randomForest\n",
"1.4 hours 0.30846492 + randomForest\n",
"1.5 evaluation 0.11945970 + randomForest\n",
"1.6 salary 0.06231975 + randomForest\n",
"1.1 gender 0.02735491 + randomForest\n"
]
}
],
"source": [
"library(shapper)\n",
"\n",
"p_function <- function(model, data) predict(model, newdata = data, type = \"prob\")\n",
"\n",
"ive_rf <- individual_variable_effect(model_rf, data = x_train, predict_function = p_function,\n",
" new_observation = x_train[1:2,], nsamples = 50)\n",
"\n",
"print(ive_rf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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PHVLZKiVqubJD4AcEJI7AAAHINl2Zdf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8kpISuVw+duzYUaPcHKvo4GotQh544IHNmzdPnsuLbVMAACAASURBVDzZu2Opqqpa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\ngwAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(ive_rf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Regression\n",
"## Data sets"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"year_of_birth | height | weight | scars | colour | year_of_discovery | number_of_lost_teeth | life_length |
\n",
"\n",
"\t-1291 | 59.40365 | 15.32391 | 7 | red | 1700 | 25 | 1368.4331 |
\n",
"\t 1589 | 46.21374 | 11.80819 | 5 | red | 1700 | 28 | 1377.0474 |
\n",
"\t 1528 | 49.17233 | 13.34482 | 6 | red | 1700 | 38 | 1603.9632 |
\n",
"\t 1645 | 48.29177 | 13.27427 | 5 | green | 1700 | 33 | 1434.4222 |
\n",
"\t -8 | 49.99679 | 13.08757 | 1 | red | 1700 | 18 | 985.4905 |
\n",
"\t 915 | 45.40876 | 11.48717 | 2 | red | 1700 | 20 | 969.5682 |
\n",
"\n",
"
\n"
],
"text/latex": [
"\\begin{tabular}{r|llllllll}\n",
" year\\_of\\_birth & height & weight & scars & colour & year\\_of\\_discovery & number\\_of\\_lost\\_teeth & life\\_length\\\\\n",
"\\hline\n",
"\t -1291 & 59.40365 & 15.32391 & 7 & red & 1700 & 25 & 1368.4331\\\\\n",
"\t 1589 & 46.21374 & 11.80819 & 5 & red & 1700 & 28 & 1377.0474\\\\\n",
"\t 1528 & 49.17233 & 13.34482 & 6 & red & 1700 & 38 & 1603.9632\\\\\n",
"\t 1645 & 48.29177 & 13.27427 & 5 & green & 1700 & 33 & 1434.4222\\\\\n",
"\t -8 & 49.99679 & 13.08757 & 1 & red & 1700 & 18 & 985.4905\\\\\n",
"\t 915 & 45.40876 & 11.48717 & 2 & red & 1700 & 20 & 969.5682\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"year_of_birth | height | weight | scars | colour | year_of_discovery | number_of_lost_teeth | life_length | \n",
"|---|---|---|---|---|---|\n",
"| -1291 | 59.40365 | 15.32391 | 7 | red | 1700 | 25 | 1368.4331 | \n",
"| 1589 | 46.21374 | 11.80819 | 5 | red | 1700 | 28 | 1377.0474 | \n",
"| 1528 | 49.17233 | 13.34482 | 6 | red | 1700 | 38 | 1603.9632 | \n",
"| 1645 | 48.29177 | 13.27427 | 5 | green | 1700 | 33 | 1434.4222 | \n",
"| -8 | 49.99679 | 13.08757 | 1 | red | 1700 | 18 | 985.4905 | \n",
"| 915 | 45.40876 | 11.48717 | 2 | red | 1700 | 20 | 969.5682 | \n",
"\n",
"\n"
],
"text/plain": [
" year_of_birth height weight scars colour year_of_discovery\n",
"1 -1291 59.40365 15.32391 7 red 1700 \n",
"2 1589 46.21374 11.80819 5 red 1700 \n",
"3 1528 49.17233 13.34482 6 red 1700 \n",
"4 1645 48.29177 13.27427 5 green 1700 \n",
"5 -8 49.99679 13.08757 1 red 1700 \n",
"6 915 45.40876 11.48717 2 red 1700 \n",
" number_of_lost_teeth life_length\n",
"1 25 1368.4331 \n",
"2 28 1377.0474 \n",
"3 38 1603.9632 \n",
"4 33 1434.4222 \n",
"5 18 985.4905 \n",
"6 20 969.5682 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Y_train <- dragons$life_length\n",
"x_train <- dragons[ , -8]\n",
"\n",
"head(dragons)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Let's fit models"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"set.seed(123)\n",
"model_rf <- randomForest(x = x_train, y = Y_train)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Use shapper"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"ive_rf <- individual_variable_effect(model_rf, data = x_train,\n",
" new_observation = x_train[1,])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot results"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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BpBsAMAANAIgh0AAIBGEOwAAAA0gmAHAACgEQQ7AAAAjSDYAQAAaATBDgAAQCMI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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(ive_rf)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "R",
"language": "R",
"name": "ir"
},
"language_info": {
"codemirror_mode": "r",
"file_extension": ".r",
"mimetype": "text/x-r-source",
"name": "R",
"pygments_lexer": "r",
"version": "3.4.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}