{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%run ../../../common_functions/import_all.py\n",
"\n",
"from common_functions.setup_notebook import set_css_style, setup_matplotlib, config_ipython\n",
"\n",
"from sklearn.cluster import KMeans\n",
"from sklearn.preprocessing import scale\n",
"\n",
"from common_functions.kmeans_helpers import (retrieve_cluster_points, \n",
" compute_wcss, \n",
" compute_gap_statistic, \n",
" evaluate_gap_statistic_best_k)\n",
"\n",
"dataset = '../../datasets/oldfaithful.txt'\n",
"\n",
"config_ipython()\n",
"setup_matplotlib()\n",
"set_css_style()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# k-means: trying it!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Let's use the \"old faithful\" dataset\n",
"\n",
"We will use the Old Faithful classic dataset, a copy of which is available in this repo under folder `datasets/` for convenience. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" eruptions | \n",
" waiting | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 3.600 | \n",
" 79 | \n",
"
\n",
" \n",
" 1 | \n",
" 1.800 | \n",
" 54 | \n",
"
\n",
" \n",
" 2 | \n",
" 3.333 | \n",
" 74 | \n",
"
\n",
" \n",
" 3 | \n",
" 2.283 | \n",
" 62 | \n",
"
\n",
" \n",
" 4 | \n",
" 4.533 | \n",
" 85 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" eruptions waiting\n",
"0 3.600 79\n",
"1 1.800 54\n",
"2 3.333 74\n",
"3 2.283 62\n",
"4 4.533 85"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Let's read the Old Faithful dataset into a Pandas Dataframe, choosing the columns\n",
"\n",
"data = pd.read_csv(dataset, delimiter=' ')[['eruptions', 'waiting']]\n",
"\n",
"data.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Scale the data so that each column is in the same scale"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"scaled_data = scale(data)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### First, see how it looks like\n",
"\n",
"It looks that 2 groups are naturally emerging from the data."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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