music-analysis
Analysis of influence of music using multiple methods, i.e. clustering musical elements, graph centrality of samplings, predicting popularity from lyrics (2018)
Science Score: 31.0%
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✓codemeta.json file
Found codemeta.json file -
○.zenodo.json file
-
○DOI references
-
○Academic publication links
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○Academic email domains
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○JOSS paper metadata
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○Scientific vocabulary similarity
Low similarity (2.2%) to scientific vocabulary
Keywords
centrality
clustering
natural-language-processing
network-analysis
predictive-modeling
python
sentiment-analysis
tensorflow
web-scraping
Last synced: 6 months ago
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Analysis of influence of music using multiple methods, i.e. clustering musical elements, graph centrality of samplings, predicting popularity from lyrics (2018)
Basic Info
Statistics
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
- Releases: 0
Topics
centrality
clustering
natural-language-processing
network-analysis
predictive-modeling
python
sentiment-analysis
tensorflow
web-scraping
Created about 5 years ago
· Last pushed about 5 years ago
Metadata Files
Readme
Citation
README.md
music-analysis
Analysis of influence of music using multiple methods, i.e. clustering musical elements, graph centrality of samplings, predicting popularity from lyrics (2018)
Owner
- Name: Eric Dong
- Login: dongeric
- Kind: user
- Location: New York City
- Company: Zoox
- Website: https://www.linkedin.com/in/erickelundong/
- Repositories: 1
- Profile: https://github.com/dongeric
Citation (Citation Graph Vis.ipynb)
{
"cells": [
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"import sqlite3\n",
"import pandas as pd\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [],
"source": [
"engine = sqlite3.connect('Graph_DB')\n",
"\n",
"graph_df = pd.read_sql('select * from graph_df', engine)\n",
"auth_df = pd.read_sql('select * from auth_df', engine)\n",
"hub_df = pd.read_sql('select * from hub_df', engine)\n",
"\n",
"graph_df = graph_df[['sampled', 'sampler']]"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [],
"source": [
"import networkx as nx\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"def insert_into_edge_list(row):\n",
" source = row[0]\n",
" target = row[1]\n",
" global edge_list\n",
" edge_list.append((source, target))\n",
" return row"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
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"</table>\n",
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"</div>"
],
"text/plain": [
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"... ... ...\n",
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"\n",
"[1528 rows x 2 columns]"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"edge_list = []\n",
"graph_df.apply(insert_into_edge_list, axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe0fc1e3a20>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe0f407f908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G = nx.DiGraph()\n",
"G.add_edges_from(edge_list)\n",
"pos = nx.spring_layout(G)\n",
"nx.draw_networkx_nodes(G, pos, cmap=plt.get_cmap('jet'), node_size = 5, alpha = 0.4)\n",
"nx.draw_networkx_edges(G, pos, edgelist=edge_list, arrows=True, alpha = 0.2)\n",
"plt.figure(num=None, figsize=(100, 100), dpi=80)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## See specific songs"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Requirement already satisfied: lyricsgenius in /opt/conda/lib/python3.6/site-packages\n",
"Requirement already satisfied: requests==2.18.1 in /opt/conda/lib/python3.6/site-packages (from lyricsgenius)\n",
"Requirement already satisfied: beautifulsoup4==4.6.0 in /opt/conda/lib/python3.6/site-packages (from lyricsgenius)\n",
"Requirement already satisfied: certifi>=2017.4.17 in /opt/conda/lib/python3.6/site-packages (from requests==2.18.1->lyricsgenius)\n",
"Requirement already satisfied: idna<2.6,>=2.5 in /opt/conda/lib/python3.6/site-packages (from requests==2.18.1->lyricsgenius)\n",
"Requirement already satisfied: urllib3<1.22,>=1.21.1 in /opt/conda/lib/python3.6/site-packages (from requests==2.18.1->lyricsgenius)\n",
"Requirement already satisfied: chardet<3.1.0,>=3.0.2 in /opt/conda/lib/python3.6/site-packages (from requests==2.18.1->lyricsgenius)\n",
"\u001b[33mYou are using pip version 9.0.1, however version 10.0.1 is available.\n",
"You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n",
"Requirement already satisfied: spotipy in /opt/conda/lib/python3.6/site-packages\n",
"Requirement already satisfied: requests>=1.0 in /opt/conda/lib/python3.6/site-packages (from spotipy)\n",
"Requirement already satisfied: idna<2.6,>=2.5 in /opt/conda/lib/python3.6/site-packages (from requests>=1.0->spotipy)\n",
"Requirement already satisfied: certifi>=2017.4.17 in /opt/conda/lib/python3.6/site-packages (from requests>=1.0->spotipy)\n",
"Requirement already satisfied: urllib3<1.22,>=1.21.1 in /opt/conda/lib/python3.6/site-packages (from requests>=1.0->spotipy)\n",
"Requirement already satisfied: chardet<3.1.0,>=3.0.2 in /opt/conda/lib/python3.6/site-packages (from requests>=1.0->spotipy)\n",
"\u001b[33mYou are using pip version 9.0.1, however version 10.0.1 is available.\n",
"You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n",
"Requirement already satisfied: selenium in /opt/conda/lib/python3.6/site-packages\n",
"\u001b[33mYou are using pip version 9.0.1, however version 10.0.1 is available.\n",
"You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n"
]
}
],
"source": [
"import sys\n",
"!{sys.executable} -m pip install lyricsgenius\n",
"!{sys.executable} -m pip install spotipy\n",
"!{sys.executable} -m pip install selenium\n",
"import pandas as pd\n",
"import requests\n",
"import lyricsgenius as genius\n",
"import spotipy\n",
"import time\n",
"from selenium import webdriver\n",
"from selenium.webdriver.common.keys import Keys"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [],
"source": [
"genius_client_id = 'Qeii-UKMUUwsAYCuuemsF7CZk7R2bFDhjP1FMkqpozASvYsA4wQDlLmd2JFM3Vhm'\n",
"genius_secret_id = 'fWhV7VtwAL-5D32Ga9Y0Kyh_VFEo7XK0Jf8-3RMcZ5EoMXqsDpmFWFFPyobnibfMXJuJ-GZe69YEuXR-36VGAA'\n",
"genius_client_access_token = '1QVL91jZbgdOIhvYhqKku_zkFDf6MHEyLpXEITHU2tE2HGvAqYIPInTrQaWcInD7'\n",
"app_website_url = 'http://cis545genius.com'\n",
"redirect_uri = 'cis545genius.com'\n",
"base_url = 'https://api.genius.com'\n",
"driver_path = '/Users/arnabsarker/Downloads/chromedriver.exe'\n",
"# driver_path = \"/mnt/c/Users/jeffr/Downloads/chromedriver_win32/chromedriver.exe\"\n",
"artist_url = 'https://www.ranker.com/crowdranked-list/the-greatest-rappers-of-all-time'\n",
"page_downs = 0\n",
"api = genius.Genius(genius_client_access_token)"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [],
"source": [
"origin_df = pd.read_csv('spotify.csv')\n",
"spotify_df = origin_df[['genius_id','track_popularity', 'song', 'artist']]"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>index</th>\n",
" <th>song_x</th>\n",
" <th>auth</th>\n",
" <th>genius_id</th>\n",
" <th>track_popularity</th>\n",
" <th>song_y</th>\n",
" <th>artist</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
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" <td>1</td>\n",
" <td>43.0</td>\n",
" <td>0.025770</td>\n",
" <td>43.0</td>\n",
" <td>79.0</td>\n",
" <td>Juicy</td>\n",
" <td>The Notorious B.I.G.</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
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" <td>46.0</td>\n",
" <td>0.020545</td>\n",
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" <td>NaN</td>\n",
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" <th>3</th>\n",
" <td>3</td>\n",
" <td>51.0</td>\n",
" <td>0.020718</td>\n",
" <td>51.0</td>\n",
" <td>51.0</td>\n",
" <td>Ten Crack Commandments</td>\n",
" <td>The Notorious B.I.G.</td>\n",
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" <td>57.0</td>\n",
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" <td>NaN</td>\n",
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" <td>NaN</td>\n",
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" <td>68.0</td>\n",
" <td>0.021893</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <th>7</th>\n",
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" <td>70.0</td>\n",
" <td>0.020895</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <th>9</th>\n",
" <td>9</td>\n",
" <td>89.0</td>\n",
" <td>0.021450</td>\n",
" <td>89.0</td>\n",
" <td>66.0</td>\n",
" <td>N.Y. State of Mind</td>\n",
" <td>Nas</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10</th>\n",
" <td>10</td>\n",
" <td>100.0</td>\n",
" <td>0.020376</td>\n",
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" <td>NaN</td>\n",
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" <td>NaN</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <th>12</th>\n",
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" <td>128.0</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <tr>\n",
" <th>13</th>\n",
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" <td>139.0</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <tr>\n",
" <th>14</th>\n",
" <td>14</td>\n",
" <td>145.0</td>\n",
" <td>0.020718</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>15</th>\n",
" <td>15</td>\n",
" <td>150.0</td>\n",
" <td>0.020545</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>16</th>\n",
" <td>16</td>\n",
" <td>155.0</td>\n",
" <td>0.020376</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>17</th>\n",
" <td>17</td>\n",
" <td>167.0</td>\n",
" <td>0.026046</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <tr>\n",
" <th>18</th>\n",
" <td>18</td>\n",
" <td>186.0</td>\n",
" <td>0.020718</td>\n",
" <td>186.0</td>\n",
" <td>62.0</td>\n",
" <td>Protect Ya Neck</td>\n",
" <td>Wu-Tang Clan</td>\n",
" </tr>\n",
" <tr>\n",
" <th>19</th>\n",
" <td>19</td>\n",
" <td>201.0</td>\n",
" <td>0.021260</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>20</th>\n",
" <td>20</td>\n",
" <td>214.0</td>\n",
" <td>0.023040</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>21</th>\n",
" <td>21</td>\n",
" <td>223.0</td>\n",
" <td>0.023410</td>\n",
" <td>223.0</td>\n",
" <td>61.0</td>\n",
" <td>Hail Mary</td>\n",
" <td>2Pac</td>\n",
" </tr>\n",
" <tr>\n",
" <th>22</th>\n",
" <td>22</td>\n",
" <td>225.0</td>\n",
" <td>0.020895</td>\n",
" <td>225.0</td>\n",
" <td>56.0</td>\n",
" <td>Ether</td>\n",
" <td>Nas</td>\n",
" </tr>\n",
" <tr>\n",
" <th>23</th>\n",
" <td>23</td>\n",
" <td>231.0</td>\n",
" <td>0.020545</td>\n",
" <td>231.0</td>\n",
" <td>60.0</td>\n",
" <td>Life's a Bitch</td>\n",
" <td>Nas</td>\n",
" </tr>\n",
" <tr>\n",
" <th>24</th>\n",
" <td>24</td>\n",
" <td>246.0</td>\n",
" <td>0.026046</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25</th>\n",
" <td>25</td>\n",
" <td>293.0</td>\n",
" <td>0.020545</td>\n",
" <td>293.0</td>\n",
" <td>60.0</td>\n",
" <td>Lemonade</td>\n",
" <td>Gucci Mane</td>\n",
" </tr>\n",
" <tr>\n",
" <th>26</th>\n",
" <td>26</td>\n",
" <td>311.0</td>\n",
" <td>0.020545</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>27</th>\n",
" <td>27</td>\n",
" <td>315.0</td>\n",
" <td>0.020376</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>28</th>\n",
" <td>28</td>\n",
" <td>320.0</td>\n",
" <td>0.021075</td>\n",
" <td>320.0</td>\n",
" <td>46.0</td>\n",
" <td>Hit 'Em Up</td>\n",
" <td>2Pac</td>\n",
" </tr>\n",
" <tr>\n",
" <th>29</th>\n",
" <td>29</td>\n",
" <td>348.0</td>\n",
" <td>0.020545</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
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" <td>...</td>\n",
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" <tr>\n",
" <th>1806</th>\n",
" <td>611</td>\n",
" <td>2520340.0</td>\n",
" <td>0.018859</td>\n",
" <td>2520340.0</td>\n",
" <td>40.0</td>\n",
" <td>Play Dis Only At Night</td>\n",
" <td>Pete Rock</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1807</th>\n",
" <td>612</td>\n",
" <td>2949838.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1808</th>\n",
" <td>613</td>\n",
" <td>27252.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1809</th>\n",
" <td>614</td>\n",
" <td>72720.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1810</th>\n",
" <td>615</td>\n",
" <td>31154.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <tr>\n",
" <th>1811</th>\n",
" <td>616</td>\n",
" <td>3199.0</td>\n",
" <td>0.018859</td>\n",
" <td>3199.0</td>\n",
" <td>52.0</td>\n",
" <td>Boom! Shake the Room</td>\n",
" <td>DJ Jazzy Jeff & The Fresh Prince</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1812</th>\n",
" <td>617</td>\n",
" <td>689695.0</td>\n",
" <td>0.018859</td>\n",
" <td>689695.0</td>\n",
" <td>29.0</td>\n",
" <td>Do dupy</td>\n",
" <td>Bez Cenzury</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1813</th>\n",
" <td>618</td>\n",
" <td>2411754.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1814</th>\n",
" <td>619</td>\n",
" <td>1495382.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1815</th>\n",
" <td>620</td>\n",
" <td>385323.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <tr>\n",
" <th>1816</th>\n",
" <td>621</td>\n",
" <td>18689.0</td>\n",
" <td>0.018859</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <tr>\n",
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" <td>622</td>\n",
" <td>2869400.0</td>\n",
" <td>0.018859</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1818</th>\n",
" <td>623</td>\n",
" <td>45369.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1819</th>\n",
" <td>624</td>\n",
" <td>11836.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <tr>\n",
" <th>1820</th>\n",
" <td>625</td>\n",
" <td>77572.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <th>1821</th>\n",
" <td>626</td>\n",
" <td>2848109.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
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" <th>1822</th>\n",
" <td>627</td>\n",
" <td>302101.0</td>\n",
" <td>0.018859</td>\n",
" <td>302101.0</td>\n",
" <td>39.0</td>\n",
" <td>Glazed</td>\n",
" <td>J Dilla</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1823</th>\n",
" <td>628</td>\n",
" <td>3505616.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1824</th>\n",
" <td>629</td>\n",
" <td>188288.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1825</th>\n",
" <td>630</td>\n",
" <td>3159906.0</td>\n",
" <td>0.018859</td>\n",
" <td>3159906.0</td>\n",
" <td>0.0</td>\n",
" <td>Cane Inane</td>\n",
" <td>Frankie hi-nrg mc</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1826</th>\n",
" <td>631</td>\n",
" <td>2837714.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1827</th>\n",
" <td>632</td>\n",
" <td>3263343.0</td>\n",
" <td>0.018859</td>\n",
" <td>3263343.0</td>\n",
" <td>55.0</td>\n",
" <td>Subenstein (My Sub IV)</td>\n",
" <td>Big K.R.I.T.</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1828</th>\n",
" <td>633</td>\n",
" <td>3078381.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1829</th>\n",
" <td>634</td>\n",
" <td>29097.0</td>\n",
" <td>0.018859</td>\n",
" <td>29097.0</td>\n",
" <td>21.0</td>\n",
" <td>That's a Lie</td>\n",
" <td>LL Cool J</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1830</th>\n",
" <td>635</td>\n",
" <td>510.0</td>\n",
" <td>0.018859</td>\n",
" <td>510.0</td>\n",
" <td>76.0</td>\n",
" <td>Power</td>\n",
" <td>Kanye West</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1831</th>\n",
" <td>636</td>\n",
" <td>51899.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1832</th>\n",
" <td>637</td>\n",
" <td>3583553.0</td>\n",
" <td>0.018859</td>\n",
" <td>3583553.0</td>\n",
" <td>20.0</td>\n",
" <td>Deuxième saison</td>\n",
" <td>Sawyer</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1833</th>\n",
" <td>638</td>\n",
" <td>28594.0</td>\n",
" <td>0.018859</td>\n",
" <td>28594.0</td>\n",
" <td>35.0</td>\n",
" <td>Way of Life</td>\n",
" <td>Lil Wayne</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1834</th>\n",
" <td>639</td>\n",
" <td>526915.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1835</th>\n",
" <td>640</td>\n",
" <td>115766.0</td>\n",
" <td>0.018859</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>1836 rows × 7 columns</p>\n",
"</div>"
],
"text/plain": [
" index song_x auth genius_id track_popularity \\\n",
"0 0 29.0 0.022258 NaN NaN \n",
"1 1 43.0 0.025770 43.0 79.0 \n",
"2 2 46.0 0.020545 NaN NaN \n",
"3 3 51.0 0.020718 51.0 51.0 \n",
"4 4 57.0 0.020545 NaN NaN \n",
"5 5 66.0 0.020545 NaN NaN \n",
"6 6 68.0 0.021893 NaN NaN \n",
"7 7 70.0 0.020895 NaN NaN \n",
"8 8 87.0 0.020718 NaN NaN \n",
"9 9 89.0 0.021450 89.0 66.0 \n",
"10 10 100.0 0.020376 NaN NaN \n",
"11 11 108.0 0.020545 NaN NaN \n",
"12 12 128.0 0.020895 NaN NaN \n",
"13 13 139.0 0.022640 NaN NaN \n",
"14 14 145.0 0.020718 NaN NaN \n",
"15 15 150.0 0.020545 NaN NaN \n",
"16 16 155.0 0.020376 NaN NaN \n",
"17 17 167.0 0.026046 NaN NaN \n",
"18 18 186.0 0.020718 186.0 62.0 \n",
"19 19 201.0 0.021260 NaN NaN \n",
"20 20 214.0 0.023040 NaN NaN \n",
"21 21 223.0 0.023410 223.0 61.0 \n",
"22 22 225.0 0.020895 225.0 56.0 \n",
"23 23 231.0 0.020545 231.0 60.0 \n",
"24 24 246.0 0.026046 NaN NaN \n",
"25 25 293.0 0.020545 293.0 60.0 \n",
"26 26 311.0 0.020545 NaN NaN \n",
"27 27 315.0 0.020376 NaN NaN \n",
"28 28 320.0 0.021075 320.0 46.0 \n",
"29 29 348.0 0.020545 NaN NaN \n",
"... ... ... ... ... ... \n",
"1806 611 2520340.0 0.018859 2520340.0 40.0 \n",
"1807 612 2949838.0 0.018859 NaN NaN \n",
"1808 613 27252.0 0.018859 NaN NaN \n",
"1809 614 72720.0 0.018859 NaN NaN \n",
"1810 615 31154.0 0.018859 NaN NaN \n",
"1811 616 3199.0 0.018859 3199.0 52.0 \n",
"1812 617 689695.0 0.018859 689695.0 29.0 \n",
"1813 618 2411754.0 0.018859 NaN NaN \n",
"1814 619 1495382.0 0.018859 NaN NaN \n",
"1815 620 385323.0 0.018859 NaN NaN \n",
"1816 621 18689.0 0.018859 NaN NaN \n",
"1817 622 2869400.0 0.018859 NaN NaN \n",
"1818 623 45369.0 0.018859 NaN NaN \n",
"1819 624 11836.0 0.018859 NaN NaN \n",
"1820 625 77572.0 0.018859 NaN NaN \n",
"1821 626 2848109.0 0.018859 NaN NaN \n",
"1822 627 302101.0 0.018859 302101.0 39.0 \n",
"1823 628 3505616.0 0.018859 NaN NaN \n",
"1824 629 188288.0 0.018859 NaN NaN \n",
"1825 630 3159906.0 0.018859 3159906.0 0.0 \n",
"1826 631 2837714.0 0.018859 NaN NaN \n",
"1827 632 3263343.0 0.018859 3263343.0 55.0 \n",
"1828 633 3078381.0 0.018859 NaN NaN \n",
"1829 634 29097.0 0.018859 29097.0 21.0 \n",
"1830 635 510.0 0.018859 510.0 76.0 \n",
"1831 636 51899.0 0.018859 NaN NaN \n",
"1832 637 3583553.0 0.018859 3583553.0 20.0 \n",
"1833 638 28594.0 0.018859 28594.0 35.0 \n",
"1834 639 526915.0 0.018859 NaN NaN \n",
"1835 640 115766.0 0.018859 NaN NaN \n",
"\n",
" song_y artist \n",
"0 NaN NaN \n",
"1 Juicy The Notorious B.I.G. \n",
"2 NaN NaN \n",
"3 Ten Crack Commandments The Notorious B.I.G. \n",
"4 NaN NaN \n",
"5 NaN NaN \n",
"6 NaN NaN \n",
"7 NaN NaN \n",
"8 NaN NaN \n",
"9 N.Y. State of Mind Nas \n",
"10 NaN NaN \n",
"11 NaN NaN \n",
"12 NaN NaN \n",
"13 NaN NaN \n",
"14 NaN NaN \n",
"15 NaN NaN \n",
"16 NaN NaN \n",
"17 NaN NaN \n",
"18 Protect Ya Neck Wu-Tang Clan \n",
"19 NaN NaN \n",
"20 NaN NaN \n",
"21 Hail Mary 2Pac \n",
"22 Ether Nas \n",
"23 Life's a Bitch Nas \n",
"24 NaN NaN \n",
"25 Lemonade Gucci Mane \n",
"26 NaN NaN \n",
"27 NaN NaN \n",
"28 Hit 'Em Up 2Pac \n",
"29 NaN NaN \n",
"... ... ... \n",
"1806 Play Dis Only At Night Pete Rock \n",
"1807 NaN NaN \n",
"1808 NaN NaN \n",
"1809 NaN NaN \n",
"1810 NaN NaN \n",
"1811 Boom! Shake the Room DJ Jazzy Jeff & The Fresh Prince \n",
"1812 Do dupy Bez Cenzury \n",
"1813 NaN NaN \n",
"1814 NaN NaN \n",
"1815 NaN NaN \n",
"1816 NaN NaN \n",
"1817 NaN NaN \n",
"1818 NaN NaN \n",
"1819 NaN NaN \n",
"1820 NaN NaN \n",
"1821 NaN NaN \n",
"1822 Glazed J Dilla \n",
"1823 NaN NaN \n",
"1824 NaN NaN \n",
"1825 Cane Inane Frankie hi-nrg mc \n",
"1826 NaN NaN \n",
"1827 Subenstein (My Sub IV) Big K.R.I.T. \n",
"1828 NaN NaN \n",
"1829 That's a Lie LL Cool J \n",
"1830 Power Kanye West \n",
"1831 NaN NaN \n",
"1832 Deuxième saison Sawyer \n",
"1833 Way of Life Lil Wayne \n",
"1834 NaN NaN \n",
"1835 NaN NaN \n",
"\n",
"[1836 rows x 7 columns]"
]
},
"execution_count": 69,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"combined_auth_df = auth_df.merge(spotify_df, how='left', left_on='song', right_on='genius_id')\n",
"combined_hub_df = hub_df.merge(spotify_df, how='left', left_on='song', right_on='genius_id')\n",
"combined_auth_df"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [],
"source": [
"def call_api_for_song_name(row):\n",
" try:\n",
" song_id = row[1]\n",
" base_url = 'https://api.genius.com'\n",
" search_url = base_url + '/songs/' + str(song_id)\n",
" params = {}\n",
" response = requests.get(search_url, params=params, headers=headers)\n",
" json = response.json()\n",
" title = json['response']['song']['title']\n",
" artist = json['response']['song']['primary_artist']['name']\n",
" row[5] = title\n",
" row[6] = artist\n",
" return row\n",
" except KeyError as e:\n",
" return row"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [],
"source": [
"headers = {'Authorization': 'Bearer %s' % genius_client_access_token}\n",
"combined_auth_df = combined_auth_df.sort_values(by=['auth'], ascending=0)\n",
"\n",
"top_auth_df = combined_auth_df.head(20)\n",
"\n",
"top_auth_df = top_auth_df.apply(call_api_for_song_name, axis = 1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>index</th>\n",
" <th>song_x</th>\n",
" <th>auth</th>\n",
" <th>genius_id</th>\n",
" <th>track_popularity</th>\n",
" <th>song_y</th>\n",
" <th>artist</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>124</th>\n",
" <td>124</td>\n",
" <td>4015.0</td>\n",
" <td>0.495005</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Eazy Duz It</td>\n",
" <td>Eazy-E</td>\n",
" </tr>\n",
" <tr>\n",
" <th>86</th>\n",
" <td>86</td>\n",
" <td>1807.0</td>\n",
" <td>0.047026</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>La Di Da Di</td>\n",
" <td>Doug E. Fresh & The Get Fresh Crew</td>\n",
" </tr>\n",
" <tr>\n",
" <th>577</th>\n",
" <td>577</td>\n",
" <td>380408.0</td>\n",
" <td>0.035698</td>\n",
" <td>380408.0</td>\n",
" <td>47.0</td>\n",
" <td>Boyz-n-the Hood</td>\n",
" <td>Eazy-E</td>\n",
" </tr>\n",
" <tr>\n",
" <th>122</th>\n",
" <td>122</td>\n",
" <td>3897.0</td>\n",
" <td>0.035698</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>The Show</td>\n",
" <td>Doug E. Fresh & The Get Fresh Crew</td>\n",
" </tr>\n",
" <tr>\n",
" <th>416</th>\n",
" <td>416</td>\n",
" <td>100617.0</td>\n",
" <td>0.035547</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Sing a Simple Song</td>\n",
" <td>Sly and the Family Stone</td>\n",
" </tr>\n",
" <tr>\n",
" <th>957</th>\n",
" <td>957</td>\n",
" <td>2428317.0</td>\n",
" <td>0.032513</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Impeach The President</td>\n",
" <td>The Honey Drippers (’70s Funk)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>492</th>\n",
" <td>492</td>\n",
" <td>167456.0</td>\n",
" <td>0.032513</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Funky Drummer</td>\n",
" <td>James Brown</td>\n",
" </tr>\n",
" <tr>\n",
" <th>313</th>\n",
" <td>313</td>\n",
" <td>54025.0</td>\n",
" <td>0.030996</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Funky Worm</td>\n",
" <td>Ohio Players</td>\n",
" </tr>\n",
" <tr>\n",
" <th>98</th>\n",
" <td>98</td>\n",
" <td>2315.0</td>\n",
" <td>0.030034</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Mama Said Knock You Out</td>\n",
" <td>LL Cool J</td>\n",
" </tr>\n",
" <tr>\n",
" <th>364</th>\n",
" <td>364</td>\n",
" <td>71969.0</td>\n",
" <td>0.029479</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Funky President (People It's Bad)</td>\n",
" <td>James Brown</td>\n",
" </tr>\n",
" <tr>\n",
" <th>133</th>\n",
" <td>133</td>\n",
" <td>4751.0</td>\n",
" <td>0.028838</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Ruthless Villain</td>\n",
" <td>Eazy-E</td>\n",
" </tr>\n",
" <tr>\n",
" <th>530</th>\n",
" <td>530</td>\n",
" <td>233981.0</td>\n",
" <td>0.027961</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Synthetic Substitution</td>\n",
" <td>Melvin Bliss</td>\n",
" </tr>\n",
" <tr>\n",
" <th>952</th>\n",
" <td>952</td>\n",
" <td>2427898.0</td>\n",
" <td>0.027961</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>N.T.</td>\n",
" <td>Kool & the Gang</td>\n",
" </tr>\n",
" <tr>\n",
" <th>921</th>\n",
" <td>921</td>\n",
" <td>2308163.0</td>\n",
" <td>0.027961</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>The Champ</td>\n",
" <td>The Mohawks</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1129</th>\n",
" <td>1129</td>\n",
" <td>3184753.0</td>\n",
" <td>0.027961</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Midnight Theme</td>\n",
" <td>Manzel</td>\n",
" </tr>\n",
" <tr>\n",
" <th>111</th>\n",
" <td>111</td>\n",
" <td>3311.0</td>\n",
" <td>0.027961</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Atomic Dog</td>\n",
" <td>George Clinton</td>\n",
" </tr>\n",
" <tr>\n",
" <th>35</th>\n",
" <td>35</td>\n",
" <td>483.0</td>\n",
" <td>0.027767</td>\n",
" <td>483.0</td>\n",
" <td>67.0</td>\n",
" <td>Straight Outta Compton</td>\n",
" <td>N.W.A</td>\n",
" </tr>\n",
" <tr>\n",
" <th>30</th>\n",
" <td>30</td>\n",
" <td>359.0</td>\n",
" <td>0.027767</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Bring the Noise</td>\n",
" <td>Public Enemy</td>\n",
" </tr>\n",
" <tr>\n",
" <th>137</th>\n",
" <td>137</td>\n",
" <td>4999.0</td>\n",
" <td>0.026444</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Think (About It)</td>\n",
" <td>Lyn Collins</td>\n",
" </tr>\n",
" <tr>\n",
" <th>927</th>\n",
" <td>927</td>\n",
" <td>2327389.0</td>\n",
" <td>0.026444</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Nautilus</td>\n",
" <td>Bob James</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" index song_x auth genius_id track_popularity \\\n",
"124 124 4015.0 0.495005 NaN NaN \n",
"86 86 1807.0 0.047026 NaN NaN \n",
"577 577 380408.0 0.035698 380408.0 47.0 \n",
"122 122 3897.0 0.035698 NaN NaN \n",
"416 416 100617.0 0.035547 NaN NaN \n",
"957 957 2428317.0 0.032513 NaN NaN \n",
"492 492 167456.0 0.032513 NaN NaN \n",
"313 313 54025.0 0.030996 NaN NaN \n",
"98 98 2315.0 0.030034 NaN NaN \n",
"364 364 71969.0 0.029479 NaN NaN \n",
"133 133 4751.0 0.028838 NaN NaN \n",
"530 530 233981.0 0.027961 NaN NaN \n",
"952 952 2427898.0 0.027961 NaN NaN \n",
"921 921 2308163.0 0.027961 NaN NaN \n",
"1129 1129 3184753.0 0.027961 NaN NaN \n",
"111 111 3311.0 0.027961 NaN NaN \n",
"35 35 483.0 0.027767 483.0 67.0 \n",
"30 30 359.0 0.027767 NaN NaN \n",
"137 137 4999.0 0.026444 NaN NaN \n",
"927 927 2327389.0 0.026444 NaN NaN \n",
"\n",
" song_y artist \n",
"124 Eazy Duz It Eazy-E \n",
"86 La Di Da Di Doug E. Fresh & The Get Fresh Crew \n",
"577 Boyz-n-the Hood Eazy-E \n",
"122 The Show Doug E. Fresh & The Get Fresh Crew \n",
"416 Sing a Simple Song Sly and the Family Stone \n",
"957 Impeach The President The Honey Drippers (’70s Funk) \n",
"492 Funky Drummer James Brown \n",
"313 Funky Worm Ohio Players \n",
"98 Mama Said Knock You Out LL Cool J \n",
"364 Funky President (People It's Bad) James Brown \n",
"133 Ruthless Villain Eazy-E \n",
"530 Synthetic Substitution Melvin Bliss \n",
"952 N.T. Kool & the Gang \n",
"921 The Champ The Mohawks \n",
"1129 Midnight Theme Manzel \n",
"111 Atomic Dog George Clinton \n",
"35 Straight Outta Compton N.W.A \n",
"30 Bring the Noise Public Enemy \n",
"137 Think (About It) Lyn Collins \n",
"927 Nautilus Bob James "
]
},
"execution_count": 90,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"top_auth_df"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [],
"source": [
"headers = {'Authorization': 'Bearer %s' % genius_client_access_token}\n",
"combined_hub_df = combined_hub_df.sort_values(by=['hub'], ascending=0)\n",
"\n",
"top_hub_df = combined_hub_df.head(20)\n",
"\n",
"top_hub_df = top_hub_df.apply(call_api_for_song_name, axis = 1)"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>index</th>\n",
" <th>song_x</th>\n",
" <th>hub</th>\n",
" <th>genius_id</th>\n",
" <th>track_popularity</th>\n",
" <th>song_y</th>\n",
" <th>artist</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>149</th>\n",
" <td>149</td>\n",
" <td>4015.0</td>\n",
" <td>0.709605</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Eazy Duz It</td>\n",
" <td>Eazy-E</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75</th>\n",
" <td>75</td>\n",
" <td>761.0</td>\n",
" <td>0.038246</td>\n",
" <td>761.0</td>\n",
" <td>64.0</td>\n",
" <td>No Vaseline</td>\n",
" <td>Ice Cube</td>\n",
" </tr>\n",
" <tr>\n",
" <th>156</th>\n",
" <td>156</td>\n",
" <td>4731.0</td>\n",
" <td>0.037483</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Time 4 Sum Aksion</td>\n",
" <td>Redman</td>\n",
" </tr>\n",
" <tr>\n",
" <th>161</th>\n",
" <td>161</td>\n",
" <td>5047.0</td>\n",
" <td>0.036692</td>\n",
" <td>5047.0</td>\n",
" <td>42.0</td>\n",
" <td>100 Miles and Runnin'</td>\n",
" <td>N.W.A</td>\n",
" </tr>\n",
" <tr>\n",
" <th>127</th>\n",
" <td>127</td>\n",
" <td>2315.0</td>\n",
" <td>0.035305</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Mama Said Knock You Out</td>\n",
" <td>LL Cool J</td>\n",
" </tr>\n",
" <tr>\n",
" <th>262</th>\n",
" <td>262</td>\n",
" <td>35694.0</td>\n",
" <td>0.031754</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>8 Ball</td>\n",
" <td>N.W.A</td>\n",
" </tr>\n",
" <tr>\n",
" <th>263</th>\n",
" <td>263</td>\n",
" <td>35705.0</td>\n",
" <td>0.031278</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>8 Ball (Remix)</td>\n",
" <td>N.W.A</td>\n",
" </tr>\n",
" <tr>\n",
" <th>155</th>\n",
" <td>155</td>\n",
" <td>4579.0</td>\n",
" <td>0.031278</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Time to Get Ill</td>\n",
" <td>Beastie Boys</td>\n",
" </tr>\n",
" <tr>\n",
" <th>223</th>\n",
" <td>223</td>\n",
" <td>26909.0</td>\n",
" <td>0.029304</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Jump</td>\n",
" <td>Kris Kross</td>\n",
" </tr>\n",
" <tr>\n",
" <th>160</th>\n",
" <td>160</td>\n",
" <td>4886.0</td>\n",
" <td>0.029270</td>\n",
" <td>4886.0</td>\n",
" <td>59.0</td>\n",
" <td>Gangsta Gangsta</td>\n",
" <td>N.W.A</td>\n",
" </tr>\n",
" <tr>\n",
" <th>335</th>\n",
" <td>335</td>\n",
" <td>58988.0</td>\n",
" <td>0.028920</td>\n",
" <td>58988.0</td>\n",
" <td>74.0</td>\n",
" <td>Grenade</td>\n",
" <td>Bruno Mars</td>\n",
" </tr>\n",
" <tr>\n",
" <th>346</th>\n",
" <td>346</td>\n",
" <td>67272.0</td>\n",
" <td>0.028920</td>\n",
" <td>67272.0</td>\n",
" <td>55.0</td>\n",
" <td>Beat It</td>\n",
" <td>Michael Jackson</td>\n",
" </tr>\n",
" <tr>\n",
" <th>54</th>\n",
" <td>54</td>\n",
" <td>483.0</td>\n",
" <td>0.028723</td>\n",
" <td>483.0</td>\n",
" <td>67.0</td>\n",
" <td>Straight Outta Compton</td>\n",
" <td>N.W.A</td>\n",
" </tr>\n",
" <tr>\n",
" <th>46</th>\n",
" <td>46</td>\n",
" <td>359.0</td>\n",
" <td>0.028723</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Bring the Noise</td>\n",
" <td>Public Enemy</td>\n",
" </tr>\n",
" <tr>\n",
" <th>100</th>\n",
" <td>100</td>\n",
" <td>1398.0</td>\n",
" <td>0.027373</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Fuck wit Dre Day (And Everybody's Celebratin')</td>\n",
" <td>Dr. Dre</td>\n",
" </tr>\n",
" <tr>\n",
" <th>148</th>\n",
" <td>148</td>\n",
" <td>3897.0</td>\n",
" <td>0.027140</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>The Show</td>\n",
" <td>Doug E. Fresh & The Get Fresh Crew</td>\n",
" </tr>\n",
" <tr>\n",
" <th>495</th>\n",
" <td>495</td>\n",
" <td>380408.0</td>\n",
" <td>0.027140</td>\n",
" <td>380408.0</td>\n",
" <td>47.0</td>\n",
" <td>Boyz-n-the Hood</td>\n",
" <td>Eazy-E</td>\n",
" </tr>\n",
" <tr>\n",
" <th>142</th>\n",
" <td>142</td>\n",
" <td>3312.0</td>\n",
" <td>0.026921</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>It's Funky Enough</td>\n",
" <td>The D.O.C.</td>\n",
" </tr>\n",
" <tr>\n",
" <th>269</th>\n",
" <td>269</td>\n",
" <td>36832.0</td>\n",
" <td>0.025483</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>Terminator X to the Edge of Panic</td>\n",
" <td>Public Enemy</td>\n",
" </tr>\n",
" <tr>\n",
" <th>191</th>\n",
" <td>191</td>\n",
" <td>15138.0</td>\n",
" <td>0.025483</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>How I Could Just Kill a Man</td>\n",
" <td>Cypress Hill</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" index song_x hub genius_id track_popularity \\\n",
"149 149 4015.0 0.709605 NaN NaN \n",
"75 75 761.0 0.038246 761.0 64.0 \n",
"156 156 4731.0 0.037483 NaN NaN \n",
"161 161 5047.0 0.036692 5047.0 42.0 \n",
"127 127 2315.0 0.035305 NaN NaN \n",
"262 262 35694.0 0.031754 NaN NaN \n",
"263 263 35705.0 0.031278 NaN NaN \n",
"155 155 4579.0 0.031278 NaN NaN \n",
"223 223 26909.0 0.029304 NaN NaN \n",
"160 160 4886.0 0.029270 4886.0 59.0 \n",
"335 335 58988.0 0.028920 58988.0 74.0 \n",
"346 346 67272.0 0.028920 67272.0 55.0 \n",
"54 54 483.0 0.028723 483.0 67.0 \n",
"46 46 359.0 0.028723 NaN NaN \n",
"100 100 1398.0 0.027373 NaN NaN \n",
"148 148 3897.0 0.027140 NaN NaN \n",
"495 495 380408.0 0.027140 380408.0 47.0 \n",
"142 142 3312.0 0.026921 NaN NaN \n",
"269 269 36832.0 0.025483 NaN NaN \n",
"191 191 15138.0 0.025483 NaN NaN \n",
"\n",
" song_y \\\n",
"149 Eazy Duz It \n",
"75 No Vaseline \n",
"156 Time 4 Sum Aksion \n",
"161 100 Miles and Runnin' \n",
"127 Mama Said Knock You Out \n",
"262 8 Ball \n",
"263 8 Ball (Remix) \n",
"155 Time to Get Ill \n",
"223 Jump \n",
"160 Gangsta Gangsta \n",
"335 Grenade \n",
"346 Beat It \n",
"54 Straight Outta Compton \n",
"46 Bring the Noise \n",
"100 Fuck wit Dre Day (And Everybody's Celebratin') \n",
"148 The Show \n",
"495 Boyz-n-the Hood \n",
"142 It's Funky Enough \n",
"269 Terminator X to the Edge of Panic \n",
"191 How I Could Just Kill a Man \n",
"\n",
" artist \n",
"149 Eazy-E \n",
"75 Ice Cube \n",
"156 Redman \n",
"161 N.W.A \n",
"127 LL Cool J \n",
"262 N.W.A \n",
"263 N.W.A \n",
"155 Beastie Boys \n",
"223 Kris Kross \n",
"160 N.W.A \n",
"335 Bruno Mars \n",
"346 Michael Jackson \n",
"54 N.W.A \n",
"46 Public Enemy \n",
"100 Dr. Dre \n",
"148 Doug E. Fresh & The Get Fresh Crew \n",
"495 Eazy-E \n",
"142 The D.O.C. \n",
"269 Public Enemy \n",
"191 Cypress Hill "
]
},
"execution_count": 92,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"top_hub_df"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fe0fd9497f0>"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe0fd997ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(combined_auth_df['auth'], combined_auth_df['track_popularity'])"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fe0fd8a5d30>"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe0fd95add8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(combined_hub_df['hub'], combined_hub_df['track_popularity'])"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-0.0093188186996125948"
]
},
"execution_count": 96,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"combined_hub_df['hub'].corr(combined_hub_df['track_popularity'])"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0022700650189292895"
]
},
"execution_count": 97,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"combined_auth_df['auth'].corr(combined_auth_df['track_popularity'])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}