{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___\n",
"\n",
"\n",
"___\n",
"
Copyright by Pierian Data Inc.\n",
"For more information, visit us at www.pieriandata.com"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Introduction to DBSCAN\n",
"\n",
"\n",
"Let's briefly explore visually the differences between DBSCAN and other clustering techniques, such as K-Means Clustering."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## DBSCAN and Clustering Examples"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"blobs = pd.read_csv('../DATA/cluster_blobs.csv')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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" X1 X2\n",
"0 4.645333 6.822294\n",
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"4 4.918911 6.961479"
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},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"blobs.head()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(data=blobs,x='X1',y='X2')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"moons = pd.read_csv('../DATA/cluster_moons.csv')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" X1 | \n",
" X2 | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 0.674362 | \n",
" -0.444625 | \n",
"
\n",
" \n",
" 1 | \n",
" 1.547129 | \n",
" -0.239796 | \n",
"
\n",
" \n",
" 2 | \n",
" 1.601930 | \n",
" -0.230792 | \n",
"
\n",
" \n",
" 3 | \n",
" 0.014563 | \n",
" 0.449752 | \n",
"
\n",
" \n",
" 4 | \n",
" 1.503476 | \n",
" -0.389164 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" X1 X2\n",
"0 0.674362 -0.444625\n",
"1 1.547129 -0.239796\n",
"2 1.601930 -0.230792\n",
"3 0.014563 0.449752\n",
"4 1.503476 -0.389164"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"moons.head()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(data=moons,x='X1',y='X2')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"circles = pd.read_csv('../DATA/cluster_circles.csv')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" X1 | \n",
" X2 | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" -0.348677 | \n",
" 0.010157 | \n",
"
\n",
" \n",
" 1 | \n",
" -0.176587 | \n",
" -0.954283 | \n",
"
\n",
" \n",
" 2 | \n",
" 0.301703 | \n",
" -0.113045 | \n",
"
\n",
" \n",
" 3 | \n",
" -0.782889 | \n",
" -0.719468 | \n",
"
\n",
" \n",
" 4 | \n",
" -0.733280 | \n",
" -0.757354 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" X1 X2\n",
"0 -0.348677 0.010157\n",
"1 -0.176587 -0.954283\n",
"2 0.301703 -0.113045\n",
"3 -0.782889 -0.719468\n",
"4 -0.733280 -0.757354"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"circles.head()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
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