From aa92f828cfe1de3dac559159808912acb2685637 Mon Sep 17 00:00:00 2001
From: shawk masboob <masboob.shawk@gmail.com>
Date: Fri, 6 Mar 2020 10:19:28 -0500
Subject: [PATCH] birth/death diagram for all elections
---
TDA_Voting.ipynb | 208 +++++++++++++++++++++++++----------------------
1 file changed, 109 insertions(+), 99 deletions(-)
diff --git a/TDA_Voting.ipynb b/TDA_Voting.ipynb
index d7299b0..a744287 100644
--- a/TDA_Voting.ipynb
+++ b/TDA_Voting.ipynb
@@ -32,7 +32,7 @@
},
{
"cell_type": "code",
- "execution_count": 1,
+ "execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
@@ -49,7 +49,7 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": 4,
"metadata": {},
"outputs": [
{
@@ -190,7 +190,7 @@
"9 Accomack,VA 2008 7607 7833 37.767140 -75.666820"
]
},
- "execution_count": 2,
+ "execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
@@ -205,7 +205,7 @@
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": 5,
"metadata": {},
"outputs": [
{
@@ -346,7 +346,7 @@
"9 Accomack,VA 2008 7607 7833 -0.099749 1.371666"
]
},
- "execution_count": 3,
+ "execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
@@ -363,7 +363,7 @@
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": 6,
"metadata": {
"scrolled": true
},
@@ -517,7 +517,7 @@
"9 Accomack,VA 2008 7607 7833 -0.099749 1.371666 0.971148"
]
},
- "execution_count": 4,
+ "execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
@@ -532,7 +532,7 @@
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": 7,
"metadata": {
"scrolled": true
},
@@ -594,136 +594,116 @@
},
{
"cell_type": "code",
- "execution_count": 23,
+ "execution_count": 2,
"metadata": {},
- "outputs": [
- {
- "ename": "IndexError",
- "evalue": "list index out of range",
- "output_type": "error",
- "traceback": [
- "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
- "\u001b[0;31mIndexError\u001b[0m Traceback (most recent call last)",
- "\u001b[0;32m<ipython-input-23-e970c5936800>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 12\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[0;31m#plot\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 14\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mscatter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf04\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'lng'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdf04\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'lat'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m,\u001b[0m \u001b[0mmarker\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'.'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcmap\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mc\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf04\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstart\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\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 15\u001b[0m \u001b[0mcbar\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolorbar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;31mIndexError\u001b[0m: list index out of range"
- ]
- },
- {
- "data": {
- "image/png": "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\n",
- "text/plain": [
- "<Figure size 1440x720 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
- "#figure\n",
- "fig, ax1 = plt.subplots()\n",
- "fig.set_size_inches(20, 10)\n",
+ "# #figure\n",
+ "# fig, ax1 = plt.subplots()\n",
+ "# fig.set_size_inches(20, 10)\n",
"\n",
- "#labels\n",
- "ax1.set_xlabel('Longitude')\n",
- "ax1.set_ylabel('Latitude')\n",
- "ax1.set_title('2004 Presidential Election Results')\n",
+ "# #labels\n",
+ "# ax1.set_xlabel('Longitude')\n",
+ "# ax1.set_ylabel('Latitude')\n",
+ "# ax1.set_title('2004 Presidential Election Results')\n",
"\n",
- "#c sequence\n",
- "c = ['red', 'blue']\n",
+ "# #c sequence\n",
+ "# c = ['red', 'blue']\n",
"\n",
- "#plot\n",
- "plt.scatter(df04['lng'], df04['lat'] , marker = '.', cmap = , start=1)\n",
- "cbar = plt.colorbar()"
+ "# #plot\n",
+ "# plt.scatter(df04['lng'], df04['lat'] , marker = '.', cmap = , start=1)\n",
+ "# cbar = plt.colorbar()"
]
},
{
"cell_type": "code",
- "execution_count": 46,
+ "execution_count": 1,
"metadata": {},
- "outputs": [
- {
- "ename": "ValueError",
- "evalue": "RGBA values should be within 0-1 range",
- "output_type": "error",
- "traceback": [
- "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
- "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)",
- "\u001b[0;32m<ipython-input-46-62e9b8052939>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 15\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 16\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mx\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf04\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 17\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mscatter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf04\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'lng'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdf04\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'lat'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m,\u001b[0m \u001b[0mmarker\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'.'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcmap\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcolorFader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mc1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mc2\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[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 18\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m<ipython-input-46-62e9b8052939>\u001b[0m in \u001b[0;36mcolorFader\u001b[0;34m(c1, c2, mix)\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mc1\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmpl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolors\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mto_rgb\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mc1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0mc2\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmpl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolors\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mto_rgb\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mc2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mmpl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolors\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mto_hex\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mmix\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mc1\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mmix\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mc2\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 9\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 10\u001b[0m \u001b[0mc1\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'blue'\u001b[0m \u001b[0;31m# blue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/matplotlib/colors.py\u001b[0m in \u001b[0;36mto_hex\u001b[0;34m(c, keep_alpha)\u001b[0m\n\u001b[1;32m 299\u001b[0m \u001b[0;31m`\u001b[0m\u001b[0;31m`\u001b[0m\u001b[0;31m#rrggbbaa`` otherwise.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 300\u001b[0m \"\"\"\n\u001b[0;32m--> 301\u001b[0;31m \u001b[0mc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mto_rgba\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mc\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 302\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mkeep_alpha\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 303\u001b[0m \u001b[0mc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mc\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/matplotlib/colors.py\u001b[0m in \u001b[0;36mto_rgba\u001b[0;34m(c, alpha)\u001b[0m\n\u001b[1;32m 175\u001b[0m \u001b[0mrgba\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 176\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mrgba\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;31m# Suppress exception chaining of cache lookup failure.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 177\u001b[0;31m \u001b[0mrgba\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_to_rgba_no_colorcycle\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0malpha\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 178\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 179\u001b[0m \u001b[0m_colors_full_map\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcache\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0malpha\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mrgba\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/matplotlib/colors.py\u001b[0m in \u001b[0;36m_to_rgba_no_colorcycle\u001b[0;34m(c, alpha)\u001b[0m\n\u001b[1;32m 246\u001b[0m \u001b[0mc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mc\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0malpha\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 247\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0many\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0melem\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m0\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0melem\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m1\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0melem\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mc\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 248\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"RGBA values should be within 0-1 range\"\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 249\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mc\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 250\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;31mValueError\u001b[0m: RGBA values should be within 0-1 range"
- ]
- },
- {
- "data": {
- "image/png": "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\n",
- "text/plain": [
- "<Figure size 576x360 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
- "import matplotlib as mpl\n",
- "import matplotlib.pyplot as plt\n",
- "import numpy as np\n",
+ "# import matplotlib as mpl\n",
+ "# import matplotlib.pyplot as plt\n",
+ "# import numpy as np\n",
"\n",
- "def colorFader(c1,c2,mix=0): \n",
- " c1=np.array(mpl.colors.to_rgb(c1))\n",
- " c2=np.array(mpl.colors.to_rgb(c2))\n",
- " return mpl.colors.to_hex((1-mix)*c1 + mix*c2)\n",
+ "# def colorFader(c1,c2,mix=0): \n",
+ "# c1=np.array(mpl.colors.to_rgb(c1))\n",
+ "# c2=np.array(mpl.colors.to_rgb(c2))\n",
+ "# return mpl.colors.to_hex((1-mix)*c1 + mix*c2)\n",
"\n",
- "c1 = 'blue' # blue\n",
- "c2 = 'red' # red\n",
- "n = 500\n",
+ "# c1 = 'blue' # blue\n",
+ "# c2 = 'red' # red\n",
+ "# n = 500\n",
"\n",
- "fig, ax = plt.subplots(figsize=(8, 5))\n",
+ "# fig, ax = plt.subplots(figsize=(8, 5))\n",
"\n",
- "for x in range(len(df04)):\n",
- " plt.scatter(df04['lng'], df04['lat'] , marker = '.', cmap = colorFader(c1,c2,x)) \n",
- "plt.show()"
+ "# for x in range(len(df04)):\n",
+ "# plt.scatter(df04['lng'], df04['lat'] , marker = '.', cmap = colorFader(c1,c2,x)) \n",
+ "# plt.show()"
]
},
{
"cell_type": "code",
- "execution_count": 25,
+ "execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
- "df_04 = df04[['lat','lng','dem_rep']]"
+ "df_04 = df04[['lat','lng','dem_rep']]\n",
+ "df_08 = df08[['lat','lng','dem_rep']]\n",
+ "df_12 = df12[['lat','lng','dem_rep']]\n",
+ "df_16 = df16[['lat','lng','dem_rep']]"
]
},
{
"cell_type": "code",
- "execution_count": 26,
+ "execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
+ "(3112, 3)\n",
+ "(3112, 3)\n",
+ "(3112, 3)\n",
"(3112, 3)\n"
]
}
],
"source": [
- "arr = df_04.to_numpy()\n",
- "arr.astype(float)\n",
- "print(arr.shape)"
+ "arr04 = df_04.to_numpy()\n",
+ "arr04.astype(float)\n",
+ "print(arr04.shape)\n",
+ "\n",
+ "arr08 = df_08.to_numpy()\n",
+ "arr08.astype(float)\n",
+ "print(arr08.shape)\n",
+ "\n",
+ "arr12 = df_12.to_numpy()\n",
+ "arr12.astype(float)\n",
+ "print(arr12.shape)\n",
+ "\n",
+ "arr16 = df_16.to_numpy()\n",
+ "arr16.astype(float)\n",
+ "print(arr16.shape)\n",
+ "\n",
+ "array_list = [arr04, arr08, arr12, arr16]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "diagrams = []\n",
+ "for arr in array_list:\n",
+ " diag = ripser(arr)['dgms']\n",
+ " diagrams.append(diag)"
]
},
{
"cell_type": "code",
- "execution_count": 27,
+ "execution_count": 31,
"metadata": {},
"outputs": [
{
@@ -735,11 +715,41 @@
},
"metadata": {},
"output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ "<Figure size 640x480 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ "<Figure size 640x480 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ "<Figure size 640x480 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
}
],
"source": [
- "diagrams = ripser(arr)['dgms']\n",
- "plot_diagrams(diagrams, show=True)"
+ "for i in range(len(diagrams)):\n",
+ " plot_diagrams(diagrams[i], show=True)"
]
}
],
--
GitLab