From bfaba75e8586ffec58299ec8bcda8749501e665d Mon Sep 17 00:00:00 2001
From: shawk masboob <masboob.shawk@gmail.com>
Date: Tue, 3 Mar 2020 23:56:29 -0500
Subject: [PATCH] fixed ripser code

---
 TDA_Voting.ipynb | 61 +++++++++++++++---------------------------------
 1 file changed, 19 insertions(+), 42 deletions(-)

diff --git a/TDA_Voting.ipynb b/TDA_Voting.ipynb
index a22fbf1..d7299b0 100644
--- a/TDA_Voting.ipynb
+++ b/TDA_Voting.ipynb
@@ -32,7 +32,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 53,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -49,7 +49,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 36,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
@@ -190,7 +190,7 @@
        "9   Accomack,VA  2008      7607      7833  37.767140 -75.666820"
       ]
      },
-     "execution_count": 36,
+     "execution_count": 2,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -205,7 +205,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 37,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
@@ -346,7 +346,7 @@
        "9   Accomack,VA  2008      7607      7833 -0.099749  1.371666"
       ]
      },
-     "execution_count": 37,
+     "execution_count": 3,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -363,7 +363,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 38,
+   "execution_count": 4,
    "metadata": {
     "scrolled": true
    },
@@ -517,7 +517,7 @@
        "9   Accomack,VA  2008      7607      7833 -0.099749  1.371666  0.971148"
       ]
      },
-     "execution_count": 38,
+     "execution_count": 4,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -532,7 +532,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 39,
+   "execution_count": 5,
    "metadata": {
     "scrolled": true
    },
@@ -566,7 +566,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": 6,
    "metadata": {
     "scrolled": true
    },
@@ -695,55 +695,40 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 55,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [],
    "source": [
-    "df_04 = df04[['lat','lng','dem_rep']].head(10)"
+    "df_04 = df04[['lat','lng','dem_rep']]"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 60,
+   "execution_count": 26,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[[-0.82199605  0.79015875  0.80739514]\n",
-      " [-1.64137378 -0.0577002   0.55567991]\n",
-      " [-0.09974873  1.37166562  0.71421175]\n",
-      " [ 1.0926624  -2.09190614  0.61836836]\n",
-      " [ 0.63483692 -0.23351273  0.76769359]\n",
-      " [-0.23466476  0.54927756  0.31343284]\n",
-      " [ 0.39077972 -0.06656442  0.77556149]\n",
-      " [-0.47703733 -0.25329004  0.51538926]\n",
-      " [ 0.33020307 -1.1216377   1.0487013 ]\n",
-      " [ 0.57311262 -0.25383743  0.74183751]]\n"
+      "(3112, 3)\n"
      ]
     }
    ],
    "source": [
     "arr = df_04.to_numpy()\n",
-    "print(arr)"
+    "arr.astype(float)\n",
+    "print(arr.shape)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 62,
+   "execution_count": 27,
    "metadata": {},
    "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Rips(maxdim=1, thresh=inf, coeff=2, do_cocycles=False, n_perm = None, verbose=True)\n"
-     ]
-    },
     {
      "data": {
-      "image/png": "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\n",
+      "image/png": "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\n",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -753,17 +738,9 @@
     }
    ],
    "source": [
-    "rips = Rips()\n",
-    "diagrams = rips.fit_transform(arr)\n",
-    "rips.plot(diagrams)"
+    "diagrams = ripser(arr)['dgms']\n",
+    "plot_diagrams(diagrams, show=True)"
    ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
   }
  ],
  "metadata": {
-- 
GitLab