diff --git "a/roc_curves.ipynb" "b/roc_curves.ipynb"
--- "a/roc_curves.ipynb"
+++ "b/roc_curves.ipynb"
@@ -14,13 +14,13 @@
    "outputs": [],
    "source": [
     "# download and unzip pkls with results\n",
-    "!wget https://www.dropbox.com/s/h19xrb3v77llxoe/results.zip?dl=0\n",
+    "!wget https://www.dropbox.com/s/h19xrb3v77llxoe/results.zip?dl=0 --output-document results.zip\n",
     "!unzip results.zip"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -32,7 +32,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -59,7 +59,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -70,7 +70,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -81,7 +81,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 8,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -92,7 +92,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -121,7 +121,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -130,7 +130,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -149,7 +149,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -158,7 +158,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -177,7 +177,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -186,7 +186,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -205,7 +205,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -214,7 +214,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -233,7 +233,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -242,7 +242,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -261,7 +261,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -283,7 +283,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -293,7 +293,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 22,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -304,7 +304,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 23,
    "metadata": {},
    "outputs": [
     {
@@ -316,7 +316,7 @@
     },
     {
      "data": {
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\n",
+      "image/png": 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\n",
       "text/plain": [
        "<Figure size 432x432 with 1 Axes>"
       ]
@@ -340,7 +340,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 24,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -350,7 +350,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -361,7 +361,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
+   "execution_count": 26,
    "metadata": {},
    "outputs": [
     {
@@ -373,7 +373,7 @@
     },
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": 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\n",
       "text/plain": [
        "<Figure size 432x432 with 1 Axes>"
       ]
@@ -397,7 +397,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
+   "execution_count": 27,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -407,7 +407,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": 28,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -418,7 +418,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 30,
+   "execution_count": 29,
    "metadata": {},
    "outputs": [
     {
@@ -430,7 +430,7 @@
     },
     {
      "data": {
-      "image/png": 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2l9eoFkU06UnScZi2u3fnLhEAIIhC7vKaRzqmsuvu9y7Z3lDaRbaxsaFOp3Nh+/Dyunnx4sXa14FEPWSoB+ogE6IeViVQoin2PZD0/mUb07vBWpJUq9V8a2sr2fDxR5Kk8+U11el01r4OJOohQz1QB5kQ9bDsLq9T5Xd7VSSN7b4yswNJ+zx/AgCrZ6mBkgZBP73ba1Dk7u1Rx6ZdWc10kD5bN+rOMADAEhXxHMqBBm4DNrNNSe2B5aqZHQ2GThocp0Nhsrmc4gIAJrH0MRR3b5lZY+ChxOrQU/JVSdtKusHidBD+RJLMbPh0ebcTAwAKUMig/OA0Kjnb2hoIirRV8lqSAABWC7MNAwCCIFAAAEEQKACAIAgUAEAQBAoAIAgCBQAQBIECAAiCQAEABEGgAACCIFAAAEEQKACAIAgUAEAQBAoAIAgCBQAQBIECAAiCQAEABEGgAACCIFAAAEEQKACAIAp5pzxwlXz11Vfq9/t6/vy5Xr58WXRxpvL222/rk08+KboYhVqXOnjzzTd1+/Ztvf322wv7DAIFmMNXX32l3/zmN7p586bu3LmjN954Q2ZWdLEm9vz5c924caPoYhRqHerA3fWHP/xBv/3tb3X9+nW99dZbC/kcuryAOfT7fd28eVO3b9/Wm2++WaowwfowM33zm9/U7du39dlnny3scwgUYA7Pnz/Xt7/97aKLAUzkxo0b+vLLLxd2fgIFmMPLly/1xhtvFF0MYCLXrl3T119/vbDzEyjAnOjmQlks+neVQAEABEGgAACCIFAAAEEQKABmFsfxpdsODw919+5d3bt3T4eHhxe2tVot3b17Vzs7O+p2u7nH7u/v6/DwUK1WS8fHx5Kk4+PjkZ+JYvFgI4CZHB8fq9ls6uTkJHf73t6efvnLX6parWpvb+/CtkajIUl68OCBoig6X9/r9bS7u6vd3d0Lx8RxrFarpYODA52dnU1d1larpUqlcv4Zw+XJ2z+OY0VRpDiOX9t/3PY4jvXhhx/q5ORER0dHM3/GuDIfHh4qiqLz/er1+sifa9FooQCYSa/XU7vdnrnFUKlULoSJJN2/f1/7+/uvXRijKNKDBw/U6/Wm/pzswlyv18//7e7uXrp/1pra29tTo9FQtVrV/v7+xNu73a7a7bYqlcql5R13jknKvLOzo0ajoUajoXq9rocPHxbfenP3K/vv3r17nvnu/r/4d/f/xdfdL37xi6KLsBJC1cOvf/3rIOcpyhdffDHTcc+ePfOTkxPf3Nz0ZrN56X71et339vZytx0dHV1YPjg48O3t7ZGf22g0/NmzZ1OVdXNzc+S64TpILosXRVE08fbM2dlZ7mdPco5xZT44OHit3p88eZL7WcMu+50d/E5IOvUZrrm0UABMrd1ua3t7W48ePVKz2Qxyzmazqfv374/cZ2dnZ6pzxnGc20qoVCpqt9uvre92u6+1miSpWq2q3W6P3T6JceeYpMyPHz/WgwcPXju+aIyhAAtw558+KroIuT794d8EPV+9Xtf9+/fV6/XmvqD1ej3VarWxn5c5Pj7W48ePR46p9Hq98/GFQVEU5V60+/3+yHONMml33LjPqFQqI8scx7HiOFa/31e73VYURep2u2o0GrlBtUwECoCp9Ho9bW5uni83Gg01m00dHBzMdc5pbW9vj72Ajrp454031Gq13PXZhXzc9kmMO8e4Mp+enp4P5GcBW6vVdP/+/UtvkFgWAgVYgNAtgVXS6/W0vb19vry7u6v3339/rkCZpXUTRdGFcoQQRZEajcZ5l56UdFFl5Ru3PcRnTCKO4wv7R1Gkfr+vbrd7IeyXjUABMJWTk5PcZ0cGL5CzqFarOj09HXlBDNG1Jo1+fqbZbF54bibrfsrKNW77JGY5R1bmbN/h1lk2xkKgACiFbrerR48evXYx+/zzz9VsNl8LlPfee09PnjzJPddw187u7q6Ojo7On1G57POnCZRarZbbhdTv90deeIef+RgOsnHbJ3HZOSqVysgyj/qcosdQuMsLwMR6vV7uReuDDz44f5p9UL1en/jup729vfNum1Cyh/6GWyRxHF/amhr+/G63q1qtdn4hH7d9EqPOMa7MURRpc3PztXGnSW5qWDQCBcBERg0YZ385D4dKtVpVvV7PnXpl+LZXSTo6OtL+/n5uCLVarQt3ecVxPFFY7e/vq9VqnS93u90LYTJ8nuyutczjx48v3Bo9bntm1OD6uHOMK/OjR48ujFllLbciu7skyZJnWK6mWq3mp6enkl7dxnmVB0sn0el0tLW1VXQxCheqHj755BN973vfm79ABZn0fertdlv7+/uK41hHR0evXbharZb29/dVqVRemzYl2/7kyRPdunVLUtJyGfUX/WAAZS2i4a6wSW4bHvz8y6Yx+elPf6of//jH5+fJngXp9/vnd1INlnXc9l6vp+PjY52cnKjdbmtvb0937969UP5x5xhX5uznz0Lp888/n/imiMt+Zwe/E2Z25u5TN3cIlDVDoCQIlMSkgXKVrVsdLDJQ6PICAARBoAAAgiBQAABBECgAgCAIFABAEAQKMKerfKckrpZF/64SKMAcvvGNb+hPf/pT0cUAJvL111/r2rXFzbhFoABzuHHjhr744ouiiwFM5Pnz53rrrbcWdn4CBZhDpVLRs2fP9PTpU/3xj3+k+wsryd31+9//Xk+fPtU777yzsM8pZLZhM2tIyia6qbr74aj9Zz0GWLTr16/rO9/5jvr9vj799FO9fPmy6CJN5csvv1zoX6xlsC51cP36dW1sbCz0Z116oGTB4O7H6XLVzJruvhvyGGBZrl+/rnfffVfvvvtu0UWZWqfT0fe///2ii1Eo6iCcIloou+5+L1tw956ZjZszZpZjAABLtNQxFDOLJOVNMdo3s9yXE8xyDABg+ZY9KF/Vq3GQQbHyQ2PWYwAAS7bsQKmM2BYFPAYAsGRX7p3y6QB+Q5I2NjbU6XQubB9eXjcvXrxY+zqQqIcM9UAdZELUw6oEShTqGHdvSWpJyQu2shfGfLrFy6Uk6iBDPSSoB+ogE6Ielt3ldar8LqyKpG7AYwAAS7b0VwCb2RNJ99w9Hlzn7ndDHpPu85mkfx9YdVvS0xmLflVQBwnqIUE9UAeZwXr4rrtP/Uh9EV1eB0rGOA4lycw2JbWzjWZWTfd5OBAgI4+5zHCFmNnpLO9JvkqogwT1kKAeqINMiHpYeqC4e8vMGmZWT1dVh554r0raVtKlFU94DACgYIUMyqcD55dta0u6Oc0xAIDirdtsw4QSdZChHhLUA3WQmbselj4oDwC4mtathQIAWBACBQAQxKo8KT83XtqVmKMeJOmukrvsBm/ZLp15/7+a2ZG73w9fsuWatR7MbE/JHZZ9ScreQ1RWc34npGRWjlZZvxPpjO0PJO1M+ns983fI3Uv/T8kzKvWB5aqkZuhjVv3frPUwtFyX9KTon2WZdTB0/GbytSj+ZymiHiSdSIoGlp8NLpft34zfib3hn7ms14b097me/jtb5O+Ou1+ZQHmtosZV3izHrPq/aX+m9BflIGf9s8FfqDL9m/f/a/rF86J/jiLqIb2QDv+BUS36ZymgHo5y1h2UPFg3pwiUmb9DpR9D4aVdiTl+pkbOur5GvzZgJc37/9XM6l7y7h1prnp4JOnDwRXu3gtYtKWaox6qOdsjL2mX1zTm/Q6VPlDES7syU/9M7t5z99ceIk33Pw1XtKWZ+f9rOuVPaS+eQ6auh/RCEkmqmFndzLbNbC9dX1az/j7sSzoxswMp+UNDUjN46VbTXNfGqxAovLQrEeRnSgfj2u5expmc56mDzZL+zHlmqYeakotG5O7HnsxY0ZJ0FLZoSzXT70P6s9+TtGdmLim+Qr8b48x1HbkKgYJA0r/Sd919p+iyLFPalB872egaiDTQSku7eCrpZKxrI/0efKBkCqhDJa2VvK5hDLnKgRIt6ZhVF02x74Gk9xdUjiJFl23IunTWoX9co38XsluE45z1pRxXHCEas33f3ffdPXb3fSWtlYOyjq8GEk2y01V4DoWXdiXm+pnS/uL9kl9YZ6mDhnT+SoRz2bMYXs5JSWeph1HjR/G8BSrI1PWQhsbJ4Dp375rZQ0k7uvot2bmuI6UPFHePzaxvZsN3YURpX2iQY1bdPD9T2pxvDt7RY2bbZauLGX8XXntgy8wO8taXxRzfia6ZVYfu7CrrDRqhv+ddlfeGnYnNW2dXpcsrewGXpPyXdpnZ0dAdKyOPKamp6yH9i+x0KEzK3Gc+y+/CVTRLPTxWcofT4DG9kg9IT1UP6UXzg5zz1FXuWYlzB9tDXxuvzGzDo6YKSC+aR0peI9yb5JiymqYe0sHHJ5ec6mZZu79m+V0Y2HZfyZeppeQBt9L+kTHjd6KuV3+J30rHEEpt2npIL66P9Oq7EUk6LuMzOel3vK6ku25byU0GT7Ku3NDXxisTKACAYl2VLi8AQMEIFABAEAQKACAIAgUAEASBAgAIgkABAARR+iflgaKk07PsKpma5GcDm+4quec/dvd7A/s+UnJvfzYV+i0lzzicDU7xcsm+2XmbJX/QEFcYz6EAczCzIyVPk+8PrY+UPBi5M8G+TUly990J9j2T9PgqvAgMVw9dXsACpLMMnORs+jxn3b6kRvpU87h9H0v63/OVDlgMAgVYnO4kc4YNTHEzyRxqsaRoDeYiQwkRKEBgA5NrTjRL70A4TDI2sqPkjZrx9CUDFotBeSCgtNuqIk310q5HGjP5YBo6DSXTiK/VGzVRHgQKML/N9M6sW0pmdt0dse976Yy+UhI8d5XM/po3q+976WywkZIZgG9pYHp5YNUQKMD8utn03maWN5A+qDfFHVq/HJw+P+1KO1MSQsDKYQwFCGthL2FKnz+prPm7zbHCaKEAAaXjJot8KVdfa/AqWpQTLRSgXGLR5YUVRaAAq+tWzrpTpc+rmNlmzsOQQGEIFGBG6Z1dm5LqZrY36uI+vO+Y8x6k/1nN2XdfUpy9+72M7znH1cVcXgCAIGihAACCIFAAAEEQKACAIAgUAEAQBAoAIAgCBQAQBIECAAiCQAEABEGgAACC+P8uC5BPBkWc/AAAAABJRU5ErkJggg==\n",
+      "image/png": "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\n",
       "text/plain": [
        "<Figure size 432x432 with 1 Axes>"
       ]
@@ -454,7 +454,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 30,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -464,7 +464,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 32,
+   "execution_count": 31,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -475,7 +475,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 33,
+   "execution_count": 32,
    "metadata": {},
    "outputs": [
     {
@@ -487,7 +487,7 @@
     },
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": "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\n",
       "text/plain": [
        "<Figure size 432x432 with 1 Axes>"
       ]
@@ -511,7 +511,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": 33,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -521,7 +521,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 35,
+   "execution_count": 34,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -532,7 +532,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 36,
+   "execution_count": 35,
    "metadata": {},
    "outputs": [
     {
@@ -544,7 +544,7 @@
     },
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": 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\n",
       "text/plain": [
        "<Figure size 432x432 with 1 Axes>"
       ]
@@ -568,7 +568,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 37,
+   "execution_count": 36,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -578,7 +578,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 38,
+   "execution_count": 37,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -589,7 +589,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 39,
+   "execution_count": 38,
    "metadata": {},
    "outputs": [
     {
@@ -601,7 +601,7 @@
     },
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": 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\n",
       "text/plain": [
        "<Figure size 432x432 with 1 Axes>"
       ]
@@ -625,7 +625,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": 39,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -635,7 +635,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 41,
+   "execution_count": 40,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -646,7 +646,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 42,
+   "execution_count": 41,
    "metadata": {},
    "outputs": [
     {
@@ -658,7 +658,7 @@
     },
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": "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\n",
       "text/plain": [
        "<Figure size 432x432 with 1 Axes>"
       ]
@@ -682,7 +682,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 43,
+   "execution_count": 42,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -692,7 +692,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 44,
+   "execution_count": 43,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -703,7 +703,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 45,
+   "execution_count": 44,
    "metadata": {},
    "outputs": [
     {
@@ -715,7 +715,7 @@
     },
     {
      "data": {
-      "image/png": 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\n",
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x8dmJpLqkD0cVJleDNSWpWq36zs5OXPDJx5KkwfKGarfbG98GEu2Qoh1og1SIdlh2l9e58sOjJGls95WZ1cX9JwCwkpYaKEkQdJOrvbIid29dtW3SldVIBunTdVddGQYAWKIi7kOpK3MZsJlVJLUyy2UzO8mGThIc52mYmFlEmADAaln6GIq7N82slgRCpHjqlexd8mXFNzqWFN+fUpZ0JklmNry7vMuJAQAFKOQqr+w0KjllLWWCIjkruZQkAIDVwmzDAIAgCBQAQBAECgAgCAIFABAEgQIACIJAAQAEQaAAAIIgUAAAQRAoAIAgCBQAQBAECgAgCAIFABAEgQIACIJAAQAEQaAAAIIgUAAAQRAoAIAgCBQAQBAECgAgiEKeKQ9cJ1999ZV6vZ5evnyp169fF12dqbz77rv69NNPi65GoTalDd5++23duXNH77777sJ+B4ECzOGrr77Sr371K21tbenu3bt66623ZGZFV2tiL1++1K1bt4quRqE2oQ3cXb/73e/061//Wjdv3tQ777yzkN9Dlxcwh16vp62tLd25c0dvv/32WoUJNoeZ6Zvf/Kbu3Lmjzz//fGG/h0AB5vDy5Ut9+9vfLroawERu3bqlL7/8cmH7J1CAObx+/VpvvfVW0dUAJnLjxg19/fXXC9s/gQLMiW4urItFf1YJFABAEAQKACAIAgUAEASBAmBm/X5/ZNnR0ZG2trZ07949HR8fXyhrNpu6d++e9vb21Ol0Lm17fHyso6MjHR8fq9ls6vT0VJJ0enp65e9EsbixEcBMTk9P1Wg0dHZ2llter9fV7XZVLpf18OHDC2W1Wk2S9ODBA0VRNFjf7XZ1eHiow8PDC9v0+301m03V63U9efJk6ro2m02VSqXB7xiuT97r+/2+oihSv9+/9Pp5y1utlhqNhh49eqQoinR6eqooigbtkjo+PlYURYO67+/vT1W+dO5+bX/u37/vqe8e/YN/9+gffNP94he/KLoKKyFUO/zyl78Msp+ifPHFFzNvW6/XXZK/ePFi5Gv29/f94cOHuWUnJyeX1lUqFT87O8t9/YsXL8b+vjyNRuPC73r69KnXarXB8nAb1Ot1bzQaF+pZr9eDlafrKpWKS/IoinLbaHd398J7jaLowvK48lFGfWaz3wlJ5z7DMZczFABT6/f7qlQqqlQq+tnPfnbpL+tZHB8fq1QqaXd3N7c87y/4STQajQtnNeVyWa1Wa+Trj46OFB9TY/v7+9ra2hqcZcxbnrrqTOv4+FgHBwcXzt6ePHkyWB5XXhTGUABMrdVqaXd3V48ePVKj0Qiyz0ajoYODgytfs7e3N9U++/1+7hhNFEW5odLpdHIPyqVSSZ1OZ+7yST1+/PhSsJbL5YnLi8IZCrAAd//q46KrkOuzH/150P3t7+/r4OBgMFYyj263q2q1Ovb3pU5PT/X48eMr/9LvdrsjD/DdbvfS+l6vl7ufKIpG7mua8kqlMljXarUG4yydTmdwBtPv9wcXHqRjK51OR7VabTAmc1V5kQgUAFMZPjDWajU1Gg3V6/W59jmt3d3dsQfQXq83GLDOSg/Mw6rVau76brerbrerWq02V3kqbb80hEulkvb29nR2dqbz8/NB/dIArVarOjg4mKi8SAQKsAChzwRWSbfbvdDdcnh4qA8//HCuQJnl7CaKopHjLbNKx2lOT08HB+tOpzOo37zlqeHlSqWi8/PzQej0+/0Lr4miSL1eb9BtdlV5NuyXjTEUAFM5OzvT8fHx4Ccdi7hqoHsS5XJZ5+fnV75mljOZvG6sq+5laTQa6na7arVaF95TeqCet3yU9GKBbDhllUqlicqLxBkKgIl1Op3BvRNZz58/V6PRuHTG8MEHH+jp06e5+xo+0B8eHurk5OTKK7ny/tq/yqgurF6vd+UBfviKrOExonnKu92u7t+/rxcvXuT+7qveXxRFY8uLxBkKgImNGnj+6KOPBnezZ+3v70/8V/PDhw8vdOuEkB6Ah0Ol3++P7C4b/v2dTkfVanVwIJ+3XJIePXp06fdmuxIrlcqls7HsRQvjyotCoACYSL/fH3kVVKVSUblcvhQq5XJZ+/v7uVOvPHjw4NJ+Tk5OdHR0lBtCzWbzwlVe/X5/orA6OjpSs9kcLHc6nQthMryf9Kq11OPHjy9cGj1veblcvhTKp6enevDgwSB06vX6hTGp9MwsPasaV14Uy96Ac91Uq1VP+2TTyziv82DpJNrttnZ2doquRuFCtcOnn36q733ve/NXqCCTPk+91Wrp8PBQUnzQHz5wNZtNHR0dSYr/+s6biuTp06e6ffu2pPjM5aqum2wApQff4a6wSS4bzv7+9ExleOqVn/70p/rxj3882E96OW+v1xtcSZWt67zl2TpJb8Zzhtvs9PR0EEzPnz+/dNHDuPJRRn1ms98JM3vi7lOf7hAoG4ZAiREosUkD5TrbtDZYZKDQ5QUACIJAAQAEQaAAAIIgUAAAQRAoAIAgCBRgTtf5SklcL4v+rBIowBy+8Y1v6A9/+EPR1QAm8vXXX+vGjcXNuEWgAHO4deuWvvjii6KrAUzk5cuXeueddxa2fwIFmEOpVNKLFy/07Nkz/f73v6f7CyvJ3fXb3/5Wz54903vvvbew31PIbMNmVpOUTgpUdvfjq14/6zbAot28eVPf+c531Ov19Nlnn+n169dFV2kqX3755UL/Yl0Hm9IGN2/e1Pb29kLf69IDJQ0Gdz9Nlstm1nD3w5DbAMty8+ZNvf/++3r//feLrsrU2u22vv/97xddjULRBuEUcYZy6O730wV375rZuMeuzbINAGCJljqGYmaRpLz5lfujAmKWbQAAy7fsQfmypLxnb/aSslDbAACWbNmBUtKbgfWsvqRRz66cZRsAwJJdu2fKJwP4NUna3t5Wu92+UD68vGlevXq18W0g0Q4p2oE2SIVohyICpZSzbtyZxsTbuHtTUlOKH7CVPjDmsx0eLiXRBinaIUY70AapEO2w7C6vc+UHQUlSJ+A2AIAlW/ojgM3sqaT77t7PrnP3eyG3SV7zuaR/yay6I+nZzJW/HmiDGO0Qox1og1S2Hb7r7lPfUl9El1dd8RjHsSSZWUVSKy00s3Lymh9mAuTKbUYZbhAzO5/lOcnXCW0Qox1itANtkArRDksPFHdvmlktuYckUjyNSvaO97KkXcVdWv0JtwEAFKyQq7ySgfNRZS1JW9NsAwAo3qbNNkwo0QYp2iFGO9AGqbnbYemD8gCA62nTzlAAAAtCoAAAgrg2U6/w0K7YHO0gSfcUX0V3lL3nZ93M+/9qZifufhC+Zss1azuY2UPFV1j2JCl9DtG6mvM7IcXfiea6fieSGdsfSNqb9HM983fI3df+R/E9KvuZ5bKkRuhtVv1n1nYYWt6X9LTo97LMNhjavhJ/LYp/L0W0g6QzSVFm+UV2ed1+ZvxOPBx+z+t6bEg+z/vJz5NFfnbc/doEyqWGGndQnGWbVf+Z9j0lH5R6zvoX2Q/UOv3M+/+afPG86PdRRDskB9LhPzDKRb+XAtrhJGddfc2DtTJFoMz8HVr7MRQe2hWb4z3Vctb1lD8h50qb9//VzPZ9zbt3pLna4ZGGZqBw927Iui3THO1QzimPfE27vKYx73do7QNFPLQrNfV7cveuu1+6iTR5/XnAui3LzP+vyZQ/a3vwHDJ1OyQHkij5976Z7ZrZw2T9upr183Ak6czM6tJgPKERvnoraa5j43UIFB7aFQvynpIvT8vd13Em53naoLKm7znPLO1QTcvd/dTjGSuakk4WU8WlmOnzkLz3+5JqZuaSutfoszHOXMeR6xAoCCT5K/3Q3feKrssyJafyYycb3QCRMmdpSRdPKZmMdWMk34OqpD9WPCHt2dBVXxjhugTKQh/atUbmfU91SR8GqktRpmqDtEvnGvaPT/tZ6Eq57dBTPFnruprlO3Hk7k1377v7keKzlfq6jq/OYObjyHW4D4WHdsXmek9Jf/Fa33+i2dqgJg0eiTCQ3ovh6zkp6dTt4O5dMxu1v3X9TEzdDklonGXXuXvHzA4k7en6n8nOdRxZ+0Bx976Zdc1s+CqMKOkLDbLNqpvnPaWDjtkresxsd93aYsbPwqUbtsysnrd+XczxWeiYWXnoyq51vUAj9Pf8XPlXP10r87bZdenySh/AJSn/oV1mdjJ0xcqV26ypqdsh+YvsPD2ImFm05qf2s3wWrqNZ2uEo+clus+4D0lO1Q3LQ/ChnPzWt96zEubcBhD42XpvZhpO/srt68wCu40zZruKrVe4P/RU+cpt1NU07JIOPT0fsamtdu79m+Sxkyg705uBxsm5naVkzfif29eby0NvJGMJam7YdkoPrI735bkSSTtfxnpzkO76vuLtuV/FFBk/TrtzQx8ZrEygAgGJdly4vAEDBCBQAQBAECgAgCAIFABAEgQIACIJAAQAEsfZ3ygNFSaarSa/X/7tM0T3F1/z33f3+0Gt7ejMV+m3F1/k/yU7xMuK16X4ba36jIa4x7kMB5mBmJ4rvJj8aWh8pvjFyb4LXNiTJ3Q8neO0TSY+vw4PAcP3Q5QUsQDLLwFlO0fOcdUeKn70x/ACjvNc+lvS3c1YPWAgCBVicziRzhmWmuJlk8sG+pGgD5iLDGiJQgMAyU+FPNEtvJhwmGRvZU/xEzbWcZw3XG4PyQEBJt1VJmuqhXY80ZvLBJHRqiqcR36gnamJ9ECjA/CrJA7luK57Z9fCK136QzOgrxcFzT/Hsr3mz+n6QzAYbKZ4B+LYy08sDq4ZAAebXSaf3NrO8gfSs7hRXaP3f7PT5SVfaE8UhBKwcxlCAsBb2EKbk/pPS8OOKgVVBoAABuXt/wQ/l6kmqLnD/wMwIFGC99EWXF1YUgQKspkj5wXGu5H4VM6twPwpWCYECzCi5smtX0r6Z1XPudB/12odj9ltXfCZSSv6ddSSpn1wpVuV+FKwS5vICAATBGQoAIAgCBQAQBIECAAiCQAEABEGgAACCIFAAAEEQKACAIAgUAEAQBAoAIIj/DzPBaARDDbSUAAAAAElFTkSuQmCC\n",
       "text/plain": [
        "<Figure size 432x432 with 1 Axes>"
       ]
@@ -739,7 +739,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 46,
+   "execution_count": 45,
    "metadata": {},
    "outputs": [
     {
@@ -751,7 +751,7 @@
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 432x432 with 1 Axes>"
       ]
@@ -765,6 +765,13 @@
    "source": [
     "plot_roc_auc(df_cnn_images_fus['label'].values, df_cnn_images_fus['fused_scores'].values)"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
   }
  ],
  "metadata": {
@@ -783,9 +790,9 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.6.9"
+   "version": "3.7.4"
   }
  },
  "nbformat": 4,
  "nbformat_minor": 4
-}
\ No newline at end of file
+}