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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import math\n",
"import string\n",
"import re\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from collections import Counter\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import re\n",
"\n",
"\n",
"def distance(origin, destination):\n",
" lat1, lon1 = origin\n",
" lat2, lon2 = destination\n",
" radius = 6371 # km\n",
"\n",
" dlat = math.radians(lat2-lat1)\n",
" dlon = math.radians(lon2-lon1)\n",
" a = math.sin(dlat/2) * math.sin(dlat/2) + math.cos(math.radians(lat1)) \\\n",
" * math.cos(math.radians(lat2)) * math.sin(dlon/2) * math.sin(dlon/2)\n",
" c = 2 * math.atan2(math.sqrt(a), math.sqrt(1-a))\n",
" d = radius * c\n",
"\n",
" return d\n",
"\n",
"\n",
"df = pd.read_csv(r\"clean_file_4.csv\", encoding =\"latin-1\", nrows = 1000)\n",
"points = {'x': [], 'y': []}\n",
"\n",
"for i in range(len(df.index)):\n",
" j = i + 1\n",
" while (j < (len(df.index))):\n",
" origin = (df[\"lat\"][i], df[\"lng\"][i])\n",
" destination = (df[\"lat\"][j], df[\"lng\"][j])\n",
" dis = distance(origin, destination)\n",
" tfdif_x = df[\"tfidf_similarity\"][i]\n",
" tfdif_y = df[\"tfidf_similarity\"][j]\n",
" sim = abs(tfdif_x - tfdif_y)\n",
" points[\"x\"].append(dis)\n",
" points[\"y\"].append(sim)\n",
" j = j + 1\n",
"point_df = pd.DataFrame(points)\n",
"point_df = point_df.dropna(subset=['location'])\n",
"point_df.plot(kind=\"scatter\", x=\"x\", y=\"y\", alpha=0.1)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}