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ML-For-Beginners/Clustering/1-Visualize/solution/notebook.ipynb

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{
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"cells": [
{
"source": [
"# Nigerian Music scraped from Spotify - an analysis"
],
"cell_type": "markdown",
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 149,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Requirement already satisfied: seaborn in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (0.11.1)\n",
"Requirement already satisfied: scipy>=1.0 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.4.1)\n",
"Requirement already satisfied: pandas>=0.23 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.1.2)\n",
"Requirement already satisfied: numpy>=1.15 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.19.2)\n",
"Requirement already satisfied: matplotlib>=2.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (3.1.0)\n",
"Requirement already satisfied: python-dateutil>=2.7.3 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2.8.0)\n",
"Requirement already satisfied: pytz>=2017.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2019.1)\n",
"Requirement already satisfied: kiwisolver>=1.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (1.1.0)\n",
"Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (2.4.0)\n",
"Requirement already satisfied: cycler>=0.10 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (0.10.0)\n",
"Requirement already satisfied: six>=1.5 in /Users/jenlooper/Library/Python/3.7/lib/python/site-packages (from python-dateutil>=2.7.3->pandas>=0.23->seaborn) (1.12.0)\n",
"Requirement already satisfied: setuptools in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from kiwisolver>=1.0.1->matplotlib>=2.2->seaborn) (45.1.0)\n",
"\u001b[33mWARNING: You are using pip version 20.2.3; however, version 21.1.2 is available.\n",
"You should consider upgrading via the '/Library/Frameworks/Python.framework/Versions/3.7/bin/python3.7 -m pip install --upgrade pip' command.\u001b[0m\n",
"Note: you may need to restart the kernel to use updated packages.\n"
]
}
],
"source": [
"pip install seaborn"
]
},
{
"cell_type": "code",
"execution_count": 150,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" name album \\\n",
"0 Sparky Mandy & The Jungle \n",
"1 shuga rush EVERYTHING YOU HEARD IS TRUE \n",
"2 LITT! LITT! \n",
"3 Confident / Feeling Cool Enjoy Your Life \n",
"4 wanted you rare. \n",
"\n",
" artist artist_top_genre release_date length popularity \\\n",
"0 Cruel Santino alternative r&b 2019 144000 48 \n",
"1 Odunsi (The Engine) afropop 2020 89488 30 \n",
"2 AYLØ indie r&b 2018 207758 40 \n",
"3 Lady Donli nigerian pop 2019 175135 14 \n",
"4 Odunsi (The Engine) afropop 2018 152049 25 \n",
"\n",
" danceability acousticness energy instrumentalness liveness loudness \\\n",
"0 0.666 0.8510 0.420 0.534000 0.1100 -6.699 \n",
"1 0.710 0.0822 0.683 0.000169 0.1010 -5.640 \n",
"2 0.836 0.2720 0.564 0.000537 0.1100 -7.127 \n",
"3 0.894 0.7980 0.611 0.000187 0.0964 -4.961 \n",
"4 0.702 0.1160 0.833 0.910000 0.3480 -6.044 \n",
"\n",
" speechiness tempo time_signature \n",
"0 0.0829 133.015 5 \n",
"1 0.3600 129.993 3 \n",
"2 0.0424 130.005 4 \n",
"3 0.1130 111.087 4 \n",
"4 0.0447 105.115 4 "
],
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>name</th>\n <th>album</th>\n <th>artist</th>\n <th>artist_top_genre</th>\n <th>release_date</th>\n <th>length</th>\n <th>popularity</th>\n <th>danceability</th>\n <th>acousticness</th>\n <th>energy</th>\n <th>instrumentalness</th>\n <th>liveness</th>\n <th>loudness</th>\n <th>speechiness</th>\n <th>tempo</th>\n <th>time_signature</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>Sparky</td>\n <td>Mandy &amp; The Jungle</td>\n <td>Cruel Santino</td>\n <td>alternative r&amp;b</td>\n <td>2019</td>\n <td>144000</td>\n <td>48</td>\n <td>0.666</td>\n <td>0.8510</td>\n <td>0.420</td>\n <td>0.534000</td>\n <td>0.1100</td>\n <td>-6.699</td>\n <td>0.0829</td>\n <td>133.015</td>\n <td>5</td>\n </tr>\n <tr>\n <th>1</th>\n <td>shuga rush</td>\n <td>EVERYTHING YOU HEARD IS TRUE</td>\n <td>Odunsi (The Engine)</td>\n <td>afropop</td>\n <td>2020</td>\n <td>89488</td>\n <td>30</td>\n <td>0.710</td>\n <td>0.0822</td>\n <td>0.683</td>\n <td>0.000169</td>\n <td>0.1010</td>\n <td>-5.640</td>\n <td>0.3600</td>\n <td>129.993</td>\n <td>3</td>\n </tr>\n <tr>\n <th>2</th>\n <td>LITT!</td>\n <td>LITT!</td>\n <td>AYLØ</td>\n <td>indie r&amp;b</td>\n <td>2018</td>\n <td>207758</td>\n <td>40</td>\n <td>0.836</td>\n <td>0.2720</td>\n <td>0.564</td>\n <td>0.000537</td>\n <td>0.1100</td>\n <td>-7.127</td>\n <td>0.0424</td>\n <td>130.005</td>\n <td>4</td>\n </tr>\n <tr>\n <th>3</th>\n <td>Confident / Feeling Cool</td>\n <td>Enjoy Your Life</td>\n <td>Lady Donli</td>\n <td>nigerian pop</td>\n <td>2019</td>\n <td>175135</td>\n <td>14</td>\n <td>0.894</td>\n <td>0.7980</td>\n <td>0.611</td>\n <td>0.000187</td>\n <td>0.0964</td>\n <td>-4.961</td>\n <td>0.1130</td>\n <td>111.087</td>\n <td>4</td>\n </tr>\n <tr>\n <th>4</th>\n <td>wanted you</td>\n <td>rare.</td>\n <td>Odunsi (The Engine)</td>\n <td>afropop</td>\n <td>2018</td>\n <td>152049</td>\n <td>25</td>\n <td>0.702</td>\n <td>0.1160</td>\n <td>0.833</td>\n <td>0.910000</td>\n <td>0.3480</td>\n <td>-6.044</td>\n <td>0.0447</td>\n <td>105.115</td>\n <td>4</td>\n </tr>\n </tbody>\n</table>\n</div>"
},
"metadata": {},
"execution_count": 150
}
],
"source": [
"\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"\n",
"df = pd.read_csv(\"../../data/nigerian-songs.csv\")\n",
"df.head()"
]
},
{
"source": [
"Get information about the dataframe"
],
"cell_type": "markdown",
"metadata": {}
},
{
"source": [
"df.info()"
],
"cell_type": "code",
"metadata": {},
"execution_count": 151,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"<class 'pandas.core.frame.DataFrame'>\nRangeIndex: 530 entries, 0 to 529\nData columns (total 16 columns):\n # Column Non-Null Count Dtype \n--- ------ -------------- ----- \n 0 name 530 non-null object \n 1 album 530 non-null object \n 2 artist 530 non-null object \n 3 artist_top_genre 530 non-null object \n 4 release_date 530 non-null int64 \n 5 length 530 non-null int64 \n 6 popularity 530 non-null int64 \n 7 danceability 530 non-null float64\n 8 acousticness 530 non-null float64\n 9 energy 530 non-null float64\n 10 instrumentalness 530 non-null float64\n 11 liveness 530 non-null float64\n 12 loudness 530 non-null float64\n 13 speechiness 530 non-null float64\n 14 tempo 530 non-null float64\n 15 time_signature 530 non-null int64 \ndtypes: float64(8), int64(4), object(4)\nmemory usage: 66.4+ KB\n"
]
}
]
},
{
"source": [
"There are no null values. Look at the general values of the data. Note that popularity can be '0'"
],
"cell_type": "markdown",
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 152,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" release_date length popularity danceability acousticness \\\n",
"count 530.000000 530.000000 530.000000 530.000000 530.000000 \n",
"mean 2015.390566 222298.169811 17.507547 0.741619 0.265412 \n",
"std 3.131688 39696.822259 18.992212 0.117522 0.208342 \n",
"min 1998.000000 89488.000000 0.000000 0.255000 0.000665 \n",
"25% 2014.000000 199305.000000 0.000000 0.681000 0.089525 \n",
"50% 2016.000000 218509.000000 13.000000 0.761000 0.220500 \n",
"75% 2017.000000 242098.500000 31.000000 0.829500 0.403000 \n",
"max 2020.000000 511738.000000 73.000000 0.966000 0.954000 \n",
"\n",
" energy instrumentalness liveness loudness speechiness \\\n",
"count 530.000000 530.000000 530.000000 530.000000 530.000000 \n",
"mean 0.760623 0.016305 0.147308 -4.953011 0.130748 \n",
"std 0.148533 0.090321 0.123588 2.464186 0.092939 \n",
"min 0.111000 0.000000 0.028300 -19.362000 0.027800 \n",
"25% 0.669000 0.000000 0.075650 -6.298750 0.059100 \n",
"50% 0.784500 0.000004 0.103500 -4.558500 0.097950 \n",
"75% 0.875750 0.000234 0.164000 -3.331000 0.177000 \n",
"max 0.995000 0.910000 0.811000 0.582000 0.514000 \n",
"\n",
" tempo time_signature \n",
"count 530.000000 530.000000 \n",
"mean 116.487864 3.986792 \n",
"std 23.518601 0.333701 \n",
"min 61.695000 3.000000 \n",
"25% 102.961250 4.000000 \n",
"50% 112.714500 4.000000 \n",
"75% 125.039250 4.000000 \n",
"max 206.007000 5.000000 "
],
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>release_date</th>\n <th>length</th>\n <th>popularity</th>\n <th>danceability</th>\n <th>acousticness</th>\n <th>energy</th>\n <th>instrumentalness</th>\n <th>liveness</th>\n <th>loudness</th>\n <th>speechiness</th>\n <th>tempo</th>\n <th>time_signature</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>count</th>\n <td>530.000000</td>\n <td>530.000000</td>\n <td>530.000000</td>\n <td>530.000000</td>\n <td>530.000000</td>\n <td>530.000000</td>\n <td>530.000000</td>\n <td>530.000000</td>\n <td>530.000000</td>\n <td>530.000000</td>\n <td>530.000000</td>\n <td>530.000000</td>\n </tr>\n <tr>\n <th>mean</th>\n <td>2015.390566</td>\n <td>222298.169811</td>\n <td>17.507547</td>\n <td>0.741619</td>\n <td>0.265412</td>\n <td>0.760623</td>\n <td>0.016305</td>\n <td>0.147308</td>\n <td>-4.953011</td>\n <td>0.130748</td>\n <td>116.487864</td>\n <td>3.986792</td>\n </tr>\n <tr>\n <th>std</th>\n <td>3.131688</td>\n <td>39696.822259</td>\n <td>18.992212</td>\n <td>0.117522</td>\n <td>0.208342</td>\n <td>0.148533</td>\n <td>0.090321</td>\n <td>0.123588</td>\n <td>2.464186</td>\n <td>0.092939</td>\n <td>23.518601</td>\n <td>0.333701</td>\n </tr>\n <tr>\n <th>min</th>\n <td>1998.000000</td>\n <td>89488.000000</td>\n <td>0.000000</td>\n <td>0.255000</td>\n <td>0.000665</td>\n <td>0.111000</td>\n <td>0.000000</td>\n <td>0.028300</td>\n <td>-19.362000</td>\n <td>0.027800</td>\n <td>61.695000</td>\n <td>3.000000</td>\n </tr>\n <tr>\n <th>25%</th>\n <td>2014.000000</td>\n <td>199305.000000</td>\n <td>0.000000</td>\n <td>0.681000</td>\n <td>0.089525</td>\n <td>0.669000</td>\n <td>0.000000</td>\n <td>0.075650</td>\n <td>-6.298750</td>\n <td>0.059100</td>\n <td>102.961250</td>\n <td>4.000000</td>\n </tr>\n <tr>\n <th>50%</th>\n <td>2016.000000</td>\n <td>218509.000000</td>\n <td>13.000000</td>\n <td>0.761000</td>\n <td>0.220500</td>\n <td>0.784500</td>\n <td>0.000004</td>\n <td>0.103500</td>\n <td>-4.558500</td>\n <td>0.097950</td>\n <td>112.714500</td>\n <td>4.000000</td>\n </tr>\n <tr>\n <th>75%</th>\n <td>2017.000000</td>\n <td>242098.500000</td>\n <td>31.000000</td>\n <td>0.829500</td>\n <td>0.403000</td>\n <td>0.875750</td>\n <td>0.000234</td>\n <td>0.164000</td>\n <td>-3.331000</td>\n <td>0.177000</td>\n <td>125.039250</td>\n <td>4.000000</td>\n </tr>\n <tr>\n <th>max</th>\n <td>2020.000000</td>\n <td>511738.000000</td>\n <td>73.000000</td>\n <td>0.966000</td>\n <td>0.954000</td>\n <td>0.995000</td>\n <td>0.910000</td>\n <td>0.811000</td>\n <td>0.582000</td>\n <td>0.514000</td>\n <td>206.007000</td>\n <td>5.000000</td>\n </tr>\n </tbody>\n</table>\n</div>"
},
"metadata": {},
"execution_count": 152
}
],
"source": [
"df.describe()"
]
},
{
"source": [
"The song's genre is a good candidate for a cluster. Let's examine the genres. Quite a few are listed as 'Missing' which means they aren't categorized in the dataset with a genre "
],
"cell_type": "markdown",
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 153,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Top genres')"
]
},
"metadata": {},
"execution_count": 153
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 720x504 with 1 Axes>",
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\n"
},
"metadata": {}
}
],
"source": [
"import seaborn as sns\n",
"\n",
"top = df['artist_top_genre'].value_counts()\n",
"plt.figure(figsize=(10,7))\n",
"sns.barplot(x=top[:5].index,y=top[:5].values)\n",
"plt.xticks(rotation=45)\n",
"plt.title('Top genres',color = 'blue')"
]
},
{
"source": [
"Remove 'Missing' genres, as it's not classified in Spotify\n"
],
"cell_type": "markdown",
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 154,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Top genres')"
]
},
"metadata": {},
"execution_count": 154
},
{
"output_type": "display_data",
"data": {
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\n"
},
"metadata": {}
}
],
"source": [
"\n",
"df = df[df['artist_top_genre'] != 'Missing']\n",
"top = df['artist_top_genre'].value_counts()\n",
"plt.figure(figsize=(10,7))\n",
"sns.barplot(x=top.index,y=top.values)\n",
"plt.xticks(rotation=45)\n",
"plt.title('Top genres',color = 'blue')"
]
},
{
"source": [
"The top three genres comprise the greatest part of the dataset, so let's focus on those"
],
"cell_type": "markdown",
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 155,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Top genres')"
]
},
"metadata": {},
"execution_count": 155
},
{
"output_type": "display_data",
"data": {
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},
"metadata": {}
}
],
"source": [
"\n",
"\n",
"df = df[(df['artist_top_genre'] == 'afro dancehall') | (df['artist_top_genre'] == 'afropop') | (df['artist_top_genre'] == 'nigerian pop')]\n",
"top = df['artist_top_genre'].value_counts()\n",
"plt.figure(figsize=(10,7))\n",
"sns.barplot(x=top.index,y=top.values)\n",
"plt.xticks(rotation=45)\n",
"plt.title('Top genres',color = 'blue')"
]
},
{
"cell_type": "code",
"execution_count": 156,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Object `energetic` not found.\n"
]
}
],
"source": [
"The data is not strongly correlated except between energy and loudness, which makes sense. Popularity has a correspondence to release data, which also makes sense, as more recent songs are probably more popular. Length and energy seem to have a correlation - perhaps shorter songs are more energetic?"
]
},
{
"cell_type": "code",
"execution_count": 157,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"data": {
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id=\"xtick_7\">\n <g id=\"line2d_7\">\n <g>\n <use style=\"fill:#262626;stroke:#262626;stroke-width:1.25;\" x=\"364.849531\" xlink:href=\"#m0f3544415d\" y=\"500.376797\"/>\n </g>\n </g>\n <g id=\"text_7\">\n <!-- instrumentalness -->\n <defs>\n <path d=\"M 6.59375 0 \nL 6.59375 51.859375 \nL 14.453125 51.859375 \nL 14.453125 44.578125 \nQ 16.890625 48.390625 20.9375 50.703125 \nQ 25 53.03125 30.171875 53.03125 \nQ 35.9375 53.03125 39.625 50.640625 \nQ 43.3125 48.25 44.828125 43.953125 \nQ 50.984375 53.03125 60.84375 53.03125 \nQ 68.5625 53.03125 72.703125 48.75 \nQ 76.859375 44.484375 76.859375 35.59375 \nL 76.859375 0 \nL 68.109375 0 \nL 68.109375 32.671875 \nQ 68.109375 37.9375 67.25 40.25 \nQ 66.40625 42.578125 64.15625 43.984375 \nQ 61.921875 45.40625 58.890625 45.40625 \nQ 53.421875 45.40625 49.796875 41.765625 \nQ 46.1875 38.140625 46.1875 30.125 \nL 46.1875 0 \nL 37.40625 0 \nL 37.40625 33.6875 \nQ 37.40625 39.546875 35.25 42.46875 \nQ 33.109375 45.40625 28.21875 45.40625 \nQ 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id=\"text_13\">\n <!-- release_date -->\n <g style=\"fill:#262626;\" transform=\"translate(26.745625 35.458594)scale(0.11 -0.11)\">\n <use xlink:href=\"#ArialMT-114\"/>\n <use x=\"33.300781\" xlink:href=\"#ArialMT-101\"/>\n <use x=\"88.916016\" xlink:href=\"#ArialMT-108\"/>\n <use x=\"111.132812\" xlink:href=\"#ArialMT-101\"/>\n <use x=\"166.748047\" xlink:href=\"#ArialMT-97\"/>\n <use x=\"222.363281\" xlink:href=\"#ArialMT-115\"/>\n <use x=\"272.363281\" xlink:href=\"#ArialMT-101\"/>\n <use x=\"327.978516\" xlink:href=\"#ArialMT-95\"/>\n <use x=\"383.59375\" xlink:href=\"#ArialMT-100\"/>\n <use x=\"439.208984\" xlink:href=\"#ArialMT-97\"/>\n <use x=\"494.824219\" xlink:href=\"#ArialMT-116\"/>\n <use x=\"522.607422\" xlink:href=\"#ArialMT-101\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_2\">\n <g id=\"line2d_14\">\n <g>\n <use style=\"fill:#262626;stroke:#262626;stroke-width:1.25;\" x=\"99.844531\" xlink:href=\"#m8a5c443d63\" y=\"72.291797\"/>\n </g>\n </g>\n <g id=\"text_14\">\n <!-- length -->\n <g style=\"fill:#262626;\" transform=\"translate(60.376406 76.228594)scale(0.11 -0.11)\">\n <use xlink:href=\"#ArialMT-108\"/>\n <use x=\"22.216797\" xlink:href=\"#ArialMT-101\"/>\n <use x=\"77.832031\" xlink:href=\"#ArialMT-110\"/>\n <use x=\"133.447266\" xlink:href=\"#ArialMT-103\"/>\n <use x=\"189.0625\" xlink:href=\"#ArialMT-116\"/>\n <use x=\"216.845703\" xlink:href=\"#ArialMT-104\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_3\">\n <g id=\"line2d_15\">\n <g>\n <use style=\"fill:#262626;stroke:#262626;stroke-width:1.25;\" x=\"99.844531\" xlink:href=\"#m8a5c443d63\" y=\"113.061797\"/>\n </g>\n </g>\n <g id=\"text_15\">\n <!-- popularity -->\n <g style=\"fill:#262626;\" transform=\"translate(42.652656 116.998594)scale(0.11 -0.11)\">\n <use xlink:href=\"#ArialMT-112\"/>\n <use x=\"55.615234\" xlink:href=\"#ArialMT-111\"/>\n <use x=\"111.230469\" xlink:href=\"#ArialMT-112\"/>\n <use x=\"166.845703\" xlink:href=\"#ArialMT-117\"/>\n <use x=\"222.460938\" 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id=\"line2d_19\">\n <g>\n <use style=\"fill:#262626;stroke:#262626;stroke-width:1.25;\" x=\"99.844531\" xlink:href=\"#m8a5c443d63\" y=\"276.141797\"/>\n </g>\n </g>\n <g id=\"text_19\">\n <!-- instrumentalness -->\n <g style=\"fill:#262626;\" transform=\"translate(7.2 280.078594)scale(0.11 -0.11)\">\n <use xlink:href=\"#ArialMT-105\"/>\n <use x=\"22.216797\" xlink:href=\"#ArialMT-110\"/>\n <use x=\"77.832031\" xlink:href=\"#ArialMT-115\"/>\n <use x=\"127.832031\" xlink:href=\"#ArialMT-116\"/>\n <use x=\"155.615234\" xlink:href=\"#ArialMT-114\"/>\n <use x=\"188.916016\" xlink:href=\"#ArialMT-117\"/>\n <use x=\"244.53125\" xlink:href=\"#ArialMT-109\"/>\n <use x=\"327.832031\" xlink:href=\"#ArialMT-101\"/>\n <use x=\"383.447266\" xlink:href=\"#ArialMT-110\"/>\n <use x=\"439.0625\" xlink:href=\"#ArialMT-116\"/>\n <use x=\"466.845703\" xlink:href=\"#ArialMT-97\"/>\n <use x=\"522.460938\" xlink:href=\"#ArialMT-108\"/>\n <use x=\"544.677734\" xlink:href=\"#ArialMT-110\"/>\n <use 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},
"metadata": {}
}
],
"source": [
"corrmat = df.corr()\n",
"f, ax = plt.subplots(figsize=(12, 9))\n",
"sns.heatmap(corrmat, vmax=.8, square=True);"
]
},
{
"source": [
"Examine our top three genres data distribution along a given x and y axis "
],
"cell_type": "markdown",
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 158,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/matplotlib/cbook/__init__.py:1402: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version. Convert to a numpy array before indexing instead.\n x[:, None]\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/matplotlib/axes/_base.py:276: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version. Convert to a numpy array before indexing instead.\n x = x[:, np.newaxis]\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/matplotlib/axes/_base.py:278: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version. Convert to a numpy array before indexing instead.\n y = y[:, np.newaxis]\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/matplotlib/cbook/__init__.py:1402: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version. Convert to a numpy array before indexing instead.\n x[:, None]\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/matplotlib/axes/_base.py:276: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version. Convert to a numpy array before indexing instead.\n x = x[:, np.newaxis]\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/matplotlib/axes/_base.py:278: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version. Convert to a numpy array before indexing instead.\n y = y[:, np.newaxis]\n"
]
},
{
"output_type": "display_data",
"data": {
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},
"metadata": {}
}
],
"source": [
"sns.set_theme(style=\"ticks\")\n",
"\n",
"# Show the joint distribution using kernel density estimation\n",
"g = sns.jointplot(\n",
" data=df,\n",
" x=\"acousticness\", y=\"danceability\", hue=\"artist_top_genre\",\n",
" kind=\"kde\",\n",
")"
]
},
{
"source": [
"A scatterplot of the same axes shows a similar pattern of convergence"
],
"cell_type": "markdown",
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 159,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"'c' argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with 'x' & 'y'. Please use a 2-D array with a single row if you really want to specify the same RGB or RGBA value for all points.\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fe6320389b0>"
]
},
"metadata": {},
"execution_count": 159
},
{
"output_type": "display_data",
"data": {
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},
"metadata": {}
}
],
"source": [
"df.plot(kind=\"scatter\", x=\"danceability\", y=\"acousticness\")"
]
},
{
"cell_type": "code",
"execution_count": 160,
"metadata": {},
"outputs": [
{
"output_type": "error",
"ename": "SyntaxError",
"evalue": "invalid syntax (<ipython-input-160-515ac11340bc>, line 1)",
"traceback": [
"\u001b[0;36m File \u001b[0;32m\"<ipython-input-160-515ac11340bc>\"\u001b[0;36m, line \u001b[0;32m1\u001b[0m\n\u001b[0;31m You can visualize that scatterplot with hues aligning to genre\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n"
]
}
],
"source": [
"You can visualize that scatterplot with hues aligning to genre"
]
},
{
"cell_type": "code",
"execution_count": 138,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/seaborn/axisgrid.py:316: UserWarning: The `size` parameter has been renamed to `height`; please update your code.\n warnings.warn(msg, UserWarning)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x7fe611ff3a20>"
]
},
"metadata": {},
"execution_count": 138
},
{
"output_type": "display_data",
"data": {
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},
"metadata": {}
}
],
"source": [
"import seaborn as sns\n",
"\n",
"sns.FacetGrid(df, hue=\"artist_top_genre\", size=5) \\\n",
" .map(plt.scatter, \"danceability\", \"acousticness\") \\\n",
" .add_legend()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"swarmplots show the general distribution as well"
]
},
{
"cell_type": "code",
"execution_count": 146,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/seaborn/categorical.py:1296: UserWarning: 17.7% of the points cannot be placed; you may want to decrease the size of the markers or use stripplot.\n warnings.warn(msg, UserWarning)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fe5e2514588>"
]
},
"metadata": {},
"execution_count": 146
},
{
"output_type": "display_data",
"data": {
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\n"
},
"metadata": {}
}
],
"source": [
"sns.swarmplot(x=df['danceability'],\n",
" y=df['artist_top_genre'])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"reduce the dataframe to only numeric values"
]
},
{
"cell_type": "code",
"execution_count": 148,
"metadata": {},
"outputs": [
{
"output_type": "error",
"ename": "ValueError",
"evalue": "could not convert string to float: 'shuga rush'",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-148-d7a72f3235e1>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;31m# Calculate the linkage: mergings\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0mmergings\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlinkage\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mmethod\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'complete'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 7\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/scipy/cluster/hierarchy.py\u001b[0m in \u001b[0;36mlinkage\u001b[0;34m(y, method, metric, optimal_ordering)\u001b[0m\n\u001b[1;32m 1040\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Invalid method: {0}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmethod\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1041\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1042\u001b[0;31m \u001b[0my\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_convert_to_double\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0masarray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0morder\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'c'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1043\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1044\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndim\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/scipy/cluster/hierarchy.py\u001b[0m in \u001b[0;36m_convert_to_double\u001b[0;34m(X)\u001b[0m\n\u001b[1;32m 1562\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_convert_to_double\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1563\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mX\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdtype\u001b[0m \u001b[0;34m!=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdouble\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1564\u001b[0;31m \u001b[0mX\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mX\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mastype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdouble\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1565\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mX\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mflags\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcontiguous\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1566\u001b[0m \u001b[0mX\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mX\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcopy\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mValueError\u001b[0m: could not convert string to float: 'shuga rush'"
]
}
],
"source": [
"from scipy.cluster.hierarchy import linkage, dendrogram\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.preprocessing import normalize\n",
"\n",
"# Calculate the linkage: mergings\n",
"mergings = linkage(df,method='complete')\n",
"\n",
"\n",
"# Plot the dendrogram, using names as labels\n",
"dendrogram(mergings)\n",
"plt.title('Hierarchical Clustering')\n",
"plt.figure(figsize=(200, 60))\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
},
"metadata": {}
}
],
"source": [
"df = pd.read_csv(\"../../data/nigerian-songs.csv\")\n",
"new_columns = ['acousticness', 'danceability']\n",
"df = df.drop([c for c in df.columns if c not in new_columns], axis=1)\n",
"from sklearn.cluster import KMeans\n",
"kmeans = KMeans(n_clusters = 2)\n",
"kmeans.fit(df)\n",
"labels = kmeans.predict(df)\n",
"plt.scatter(df['acousticness'],df['danceability'],c = labels)\n",
"plt.xlabel('danceability')\n",
"plt.xlabel('acousticness')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
]
}
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