using_vggface.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import VGG_FACE\n",
    "from PIL import Image\n",
    "import torch.nn as nn\n",
    "import matplotlib.pyplot as plt\n",
    "from torch.autograd import Variable\n",
    "import torchvision.transforms as transforms\n",
    "import glob\n",
    "import numpy as np\n",
    "import re\n",
    "import torch.nn.functional as F\n",
    "import pandas as pd\n",
    "import string\n",
    "import json\n",
    "from collections import OrderedDict\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def atoi(text):\n",
    "    return int(text) if text.isdigit() else text\n",
    "\n",
    "def natural_keys(text):\n",
    "    '''\n",
    "    alist.sort(key=natural_keys) sorts in human order\n",
    "    http://nedbatchelder.com/blog/200712/human_sorting.html\n",
    "    (See Toothy's implementation in the comments)\n",
    "    '''\n",
    "    return [ atoi(c) for c in re.split('(\\d+)', text) ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = VGG_FACE.VGG_FACE\n",
    "\n",
    "pretrained_model = model\n",
    "#gets rid of the last linear layer and softmax\n",
    "modified_pretrained = nn.Sequential(*list(pretrained_model.children())[:-2]) \n",
    "\n",
    "modified_pretrained.add_module('38', nn.Sequential(VGG_FACE.Lambda(lambda x: x.view(1,-1) if 1==len(x.size()) else x ),nn.Linear(4096,3)))\n",
    "#modified_pretrained.add_module('39', nn.Softmax())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Sequential (\n",
       "  (0): Conv2d(3, 64, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n",
       "  (1): ReLU ()\n",
       "  (2): Conv2d(64, 64, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n",
       "  (3): ReLU ()\n",
       "  (4): MaxPool2d (size=(2, 2), stride=(2, 2), dilation=(1, 1))\n",
       "  (5): Conv2d(64, 128, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n",
       "  (6): ReLU ()\n",
       "  (7): Conv2d(128, 128, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n",
       "  (8): ReLU ()\n",
       "  (9): MaxPool2d (size=(2, 2), stride=(2, 2), dilation=(1, 1))\n",
       "  (10): Conv2d(128, 256, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n",
       "  (11): ReLU ()\n",
       "  (12): Conv2d(256, 256, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n",
       "  (13): ReLU ()\n",
       "  (14): Conv2d(256, 256, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n",
       "  (15): ReLU ()\n",
       "  (16): MaxPool2d (size=(2, 2), stride=(2, 2), dilation=(1, 1))\n",
       "  (17): Conv2d(256, 512, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n",
       "  (18): ReLU ()\n",
       "  (19): Conv2d(512, 512, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n",
       "  (20): ReLU ()\n",
       "  (21): Conv2d(512, 512, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n",
       "  (22): ReLU ()\n",
       "  (23): MaxPool2d (size=(2, 2), stride=(2, 2), dilation=(1, 1))\n",
       "  (24): Conv2d(512, 512, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n",
       "  (25): ReLU ()\n",
       "  (26): Conv2d(512, 512, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n",
       "  (27): ReLU ()\n",
       "  (28): Conv2d(512, 512, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n",
       "  (29): ReLU ()\n",
       "  (30): MaxPool2d (size=(2, 2), stride=(2, 2), dilation=(1, 1))\n",
       "  (31): Lambda (\n",
       "  )\n",
       "  (32): Sequential (\n",
       "    (0): Lambda (\n",
       "    )\n",
       "    (1): Linear (25088 -> 4096)\n",
       "  )\n",
       "  (33): ReLU ()\n",
       "  (34): Dropout (p = 0.5)\n",
       "  (35): Sequential (\n",
       "    (0): Lambda (\n",
       "    )\n",
       "    (1): Linear (4096 -> 4096)\n",
       "  )\n",
       "  (36): ReLU ()\n",
       "  (37): Dropout (p = 0.5)\n",
       "  (38): Sequential (\n",
       "    (0): Lambda (\n",
       "    )\n",
       "    (1): Linear (4096 -> 3)\n",
       "  )\n",
       ")"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "modified_pretrained.load_state_dict(torch.load('trained_model.pth',map_location=lambda storage, loc: storage))\n",
    "modified_pretrained.eval()\n",
    "#print(model.parameters().size())\n",
    "\n",
    "#for param in model.parameters():\n",
    "    #print(param, param.data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_face_files(movie):\n",
    "    face_files = glob.glob('all-data/vids/imgs_' + movie + '/faces/*.jpg')\n",
    "    face_files.sort(key=natural_keys)\n",
    "    return face_files\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "superbad\n",
      "4001\n",
      "babydriver\n",
      "2333\n",
      "getout\n",
      "2052\n",
      "lalaland\n",
      "2782\n",
      "madmax\n",
      "1939\n",
      "loveactually\n",
      "6210\n",
      "elf\n",
      "3657\n",
      "homealone\n",
      "2224\n"
     ]
    }
   ],
   "source": [
    "#GET ALL MOVIES AND THE FACE FILES\n",
    "movies = {'babydriver': [],'elf': [], 'getout': [], 'homealone': [], 'lalaland': [], 'loveactually': [], 'madmax': [], 'superbad': []}\n",
    "\n",
    "for m in movies:\n",
    "    print(m)\n",
    "    movies[m] = get_face_files(m)\n",
    "    print(len(movies[m]))\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "import time\n",
    "\n",
    "def predict_emotions(face_files, modified_pretrained):\n",
    "    # 1. Define the appropriate image pre-processing function.\n",
    "    preprocessFn = transforms.Compose([transforms.Scale(256), #scale to 256x256\n",
    "                                       transforms.CenterCrop(224), #crops the image at center to 224x224\n",
    "                                       transforms.ToTensor()])\n",
    "\n",
    "    # 2. Load the emotion class names.\n",
    "    names = pd.read_csv('vgg_face_torch/emotions.txt', sep=\"\\n\", header=None).iloc[:, 0].values\n",
    "\n",
    "    # Never forget to set in evaluation mode so Dropoff layers don't add randomness.\n",
    "    modified_pretrained.eval()\n",
    "    face_preds = OrderedDict()\n",
    "    totalCount = 0\n",
    "    filteredCount = 0\n",
    "    \n",
    "    #add all images to a list as numpy tensor\n",
    "    start = time.time()\n",
    "    for image in face_files:\n",
    "        totalCount += 1\n",
    "        if totalCount%50 == 0: print(totalCount)\n",
    "        im = Image.open(image).convert('RGB')\n",
    "        if (im.size > (75,75)):\n",
    "            filteredCount += 1\n",
    "            inputVar =  Variable(preprocessFn(im).unsqueeze(0), volatile=True)\n",
    "            predictions = modified_pretrained(inputVar)\n",
    "            probs, indices = (-F.softmax(predictions)).data.sort()\n",
    "            probs = (-probs).numpy()[0][:10]; indices = indices.numpy()[0][:10]\n",
    "            face_preds[image] = (probs, indices)\n",
    "        im.close()\n",
    "    end = time.time()\n",
    "    print(\"time\", end - start)\n",
    "    return face_preds\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#PREDICT EMOTIONS\n",
    "movie_emotions = OrderedDict()\n",
    "for m in movies:\n",
    "    print(m)\n",
    "    face_files = movies[m]\n",
    "    movie_emotions[m] = predict_emotions(face_files, modified_pretrained) #replace the filenames with the \n",
    "print(\"done!\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "def sort_display_predictions(face_preds, display_count = 100, display = False):\n",
    "    scene_emotion = []\n",
    "    count = 0\n",
    "    names = pd.read_csv('vgg_face_torch/emotions.txt', sep=\"\\n\", header=None).iloc[:, 0].values\n",
    "    #for each prediction, add to a list. this is probably more processing than necessary but whatever\n",
    "    for filename, probsIndices in face_preds.items():\n",
    "        count += 1\n",
    "\n",
    "        probs = probsIndices[0]\n",
    "        indices = probsIndices[1]\n",
    "        \n",
    "        \n",
    "\n",
    "        #put scene number and emotion in list to prepare for graphing\n",
    "        scene_emotion.append((int(filename.split('scene')[1].split('face')[0]),indices[0]))\n",
    "\n",
    "        if count%display_count==0:\n",
    "            #print(\"count\", count)\n",
    "            #print(\"probsIndices\", probsIndices)\n",
    "            #print out top predictions to display results\n",
    "            preds = [names[idx] + ': ' + str(prob) for (prob, idx) in zip(probs, indices)]\n",
    "            #print(filename)\n",
    "            # 5. Show image and predictions\n",
    "            if display:\n",
    "                plt.title(string.join(preds,'\\n'))\n",
    "                image = Image.open(filename)\n",
    "                plt.imshow(image)\n",
    "                plt.show(image) \n",
    "\n",
    "    return scene_emotion\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "superbad\n",
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1)]\n",
      "\n",
      "babydriver\n",
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      "\n",
      "getout\n",
      "[(289, 1), (337, 1), (481, 1), (5329, 1), (5377, 1), (5473, 1), (5521, 2), (5617, 1), (5713, 2), (5809, 1), (6433, 1), (6481, 2), (7105, 2), (7153, 2), (7297, 1), (7393, 2), (7537, 1), (7585, 1), (7633, 2), (7729, 1), (7825, 2), (7873, 2), (7921, 1), (7969, 2), (8065, 2), (9169, 1), (9217, 1), (9217, 0), (9265, 1), (9265, 1), (9313, 1), (9457, 1), (9505, 0), (9505, 1), (9553, 1), (9553, 2), (9601, 1), (9697, 1), (9697, 1), (9745, 1), (9745, 1), (9841, 2), (9889, 2), (9937, 2), (9985, 2), (10033, 1), (10081, 2), (10129, 2), (10177, 1), (10225, 1), (10273, 1), (10321, 1), (10369, 1), (10369, 1), (10417, 2), (10465, 1), (10513, 2), (10561, 1), (10657, 1), (10705, 1), (10705, 1), (10753, 1), (10801, 2), (10801, 1), (10849, 2), (10849, 2), (10897, 1), (10945, 1), (10945, 1), (11041, 2), (11089, 1), (11137, 1), (11137, 1), (11185, 1), (11185, 2), (11233, 1), (11281, 2), (11617, 1), (11809, 0), (11857, 1), (12049, 1), (12193, 1), (12241, 1), (12241, 1), (12289, 2), (12337, 1), (12385, 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      "\n",
      "lalaland\n",
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(109009, 1), (109057, 1), (109153, 1), (109249, 0), (109345, 0), (109393, 1), (109441, 0), (109633, 1), (109681, 1), (109729, 1), (110017, 1), (110065, 1), (110065, 1), (110209, 1), (110305, 2), (110449, 2), (110737, 1), (110785, 1), (110833, 0), (110929, 1), (110977, 0), (111025, 2), (111073, 1), (111121, 1), (111169, 1), (111217, 2), (111265, 1), (111313, 1), (111361, 1), (111409, 1), (111457, 1), (111505, 1), (111553, 0), (111601, 1), (111649, 1), (111697, 1), (111745, 1), (111793, 1), (111841, 2), (111937, 1), (112033, 1), (112081, 0), (112129, 2), (112177, 1), (112273, 1), (112321, 2), (112369, 1), (112417, 1), (112465, 1), (112513, 1), (112561, 1), (112609, 1), (112657, 1), (112705, 1), (112753, 1), (112801, 1), (112849, 1), (112897, 1), (112945, 1), (112993, 1), (113041, 1), (113089, 1), (113137, 1), (113185, 2), (113233, 1), (113281, 1), (113329, 1), (113377, 1), (113425, 1), (113473, 0), (113521, 1), (113569, 1), (113617, 1), (113665, 2), (113713, 1), (113761, 1), (113809, 1), 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(117553, 1), (117601, 2), (117649, 2), (117697, 2), (117745, 2), (117793, 1), (117841, 1), (117889, 1), (117937, 2), (117985, 1), (118033, 1), (118081, 1), (118129, 1), (118177, 1), (118225, 1), (118273, 1), (118321, 1), (118369, 1), (118417, 1), (118465, 1), (118513, 1), (118561, 1), (118609, 1), (118753, 1), (118801, 1), (118897, 1), (118945, 1), (118993, 1), (119089, 1), (119137, 1), (119185, 1), (119281, 1), (119329, 1), (119521, 1), (119617, 1), (120577, 1), (120625, 1), (120817, 1), (120865, 1), (121297, 1), (121345, 0), (121393, 0), (121777, 1), (121825, 1), (121873, 1), (121921, 1), (122689, 1), (122785, 0), (122929, 1), (123217, 2), (123265, 1), (123313, 1), (123457, 2), (123505, 1), (123553, 1), (123601, 1), (123649, 1), (123937, 0), (124081, 1), (124609, 1), (124657, 1), (124705, 1), (124753, 1), (124801, 1), (125329, 2), (125377, 2), (125665, 1), (125761, 1), (125809, 1), (125857, 1), (125905, 1), (125953, 1), (126001, 1), (126049, 1), (126097, 1), (126145, 1), (126193, 1), (126577, 1), (126625, 1), (127057, 0), (127393, 1), (127441, 1), (127489, 1), (127537, 1), (127585, 1), (127633, 1), (127681, 2), (127729, 1), (129361, 1), (129409, 1), (130321, 2), (130369, 2), (130369, 1), (130513, 1), (130561, 1), (130609, 1), (130657, 1), (130705, 2), (130753, 1), (130801, 2), (132577, 1), (132625, 1), (132673, 1), (132721, 1), (132769, 1), (132817, 1), (132865, 1), (132913, 2), (132961, 1), (133009, 1), (133057, 1), (133105, 2), (133153, 1), (133201, 1), (133297, 2), (133345, 1), (133393, 1), (133441, 2), (133489, 2), (133537, 1), (133585, 0), (133633, 1), (133681, 0), (133729, 1), (133777, 2), (133825, 1), (133873, 1), (133921, 1), (133969, 2), (134017, 2), (134065, 2), (134113, 2), (134161, 1), (134209, 1), (134257, 1), (134305, 1), (134353, 1), (134401, 1), (134449, 1), (134497, 1), (134545, 1), (134593, 1), (134641, 1), (134689, 1), (134737, 1), (134785, 1), (134833, 1), (134881, 1), (134929, 1), (134977, 1), (135025, 1), (135073, 1), (135121, 1), (135169, 2), (135217, 2), (135265, 1), (135313, 1), (135505, 1), (135553, 1), (135745, 1), (135793, 1), (136465, 1), (137089, 1), (137185, 2), (137521, 1), (137569, 1), (137617, 1), (137761, 1), (137809, 2), (137857, 2), (137905, 1), (137953, 1), (138001, 1), (138049, 1), (138097, 2), (138145, 2), (138193, 2), (138241, 2), (138289, 1), (138337, 1), (138385, 1), (138433, 1), (138481, 1), (138529, 2), (138577, 2), (138625, 1), (138673, 2), (138721, 2), (138769, 2), (138817, 2), (140977, 1), (141025, 1), (141073, 1), (141121, 1), (141169, 1), (141217, 1), (141265, 1), (141313, 1), (141361, 1), (141409, 2), (141457, 2), (141505, 1), (141553, 1), (141601, 1), (141649, 2), (141697, 1), (141745, 1), (141793, 2), (141841, 1), (141889, 2), (142129, 2), (142177, 2), (142225, 2), (142273, 2), (142321, 1), (142369, 1), (142417, 2), (142465, 2), (142513, 2), (142561, 1), (142609, 1), (142657, 1), (142705, 2), (142753, 2), (142801, 2), (142849, 0), (142897, 2), (142945, 2), (142993, 2), (143041, 0), (143089, 2), (143137, 2), (143185, 2), (143233, 2), (143281, 2), (143329, 1), (143377, 1), (144049, 0), (144097, 1), (144145, 1), (144193, 1), (144241, 2), (144289, 1), (144337, 1), (144385, 1), (144433, 2), (144481, 2), (144529, 1), (144577, 2), (144625, 1), (144673, 1), (144721, 1), (144769, 2), (144817, 1), (144817, 1), (144865, 0), (144913, 1), (144961, 1), (145009, 1), (145057, 1), (145105, 1), (145153, 1), (145201, 1), (145249, 1), (145297, 1), (145345, 1), (145393, 1), (145441, 1), (145489, 1), (145537, 1), (145585, 1), (145633, 1), (145681, 1), (145729, 1), (145777, 1), (145825, 2), (145873, 2), (145921, 2), (145969, 2), (146017, 1), (146065, 2), (146113, 1), (146113, 1), (146161, 1), (146209, 1), (146257, 1), (146305, 2), (146353, 2), (146401, 2), (146449, 1), (146497, 1), (146545, 1), (146593, 2), (146641, 2), (146689, 1), (146689, 1), (146737, 2), (146785, 2), (146833, 2), (146881, 2), (146929, 1), (146977, 1), (147025, 1), (148417, 1), (148465, 2), (148513, 1), (149281, 1), (150001, 2), (150097, 1), (150145, 1), (150193, 1), (151249, 1), (151345, 1), (151393, 1), (151441, 1), (151489, 1), (152017, 1), (152017, 1), (152065, 1), (152113, 1), (152113, 1), (152161, 0), (152161, 2), (152209, 1), (152209, 0), (152257, 1), (152257, 1), (152449, 1), (152497, 1), (152545, 0), (152593, 1), (152641, 1), (152689, 1), (152737, 2), (154177, 1), (154225, 1), (154945, 1), (155089, 1), (156001, 1), (156049, 1), (156097, 1), (156145, 1), (156193, 1), (156241, 1), (156529, 1), (157153, 1), (157201, 1), (157249, 1), (158113, 1), (158161, 1), (158209, 1), (158257, 1), (158497, 2), (158545, 1), (158785, 1), (158929, 2), (158977, 1), (159073, 1), (159169, 1), (159649, 2), (160177, 2), (160177, 0), (160177, 2), (160177, 0), (160225, 2), (162769, 2), (162817, 1), (162817, 1), (162817, 1), (162961, 1), (166081, 1), (166129, 1), (166225, 1), (166465, 1), (166897, 1), (166897, 1), (168145, 1), (168193, 1), (168241, 1), (168673, 1), (168721, 1), (168721, 1), (168769, 1), (168769, 1), (168817, 1), (168817, 1), (168865, 1), (168913, 1), (168961, 0), (168961, 2), (169009, 1), (169345, 1), (169393, 1), (169441, 1), (169489, 1), (169585, 1), (169633, 1), (169681, 1), (169825, 1), (169873, 1), (170017, 1), (170065, 2), (170257, 1)]\n",
      "\n",
      "madmax\n",
      "[(3553, 0), (4561, 0), (5185, 0), (5281, 1), (5713, 2), (5761, 0), (5857, 0), (5953, 1), (6049, 1), (8785, 1), (8785, 1), (8929, 1), (8929, 1), (9409, 2), (9457, 0), (9889, 0), (9889, 0), (10177, 0), (10177, 1), (10177, 2), (10225, 0), (10225, 1), (10225, 0), (10225, 1), (10369, 1), (10369, 1), (10369, 2), (10369, 2), (10369, 0), (10369, 1), (10369, 2), (10369, 1), (10417, 1), (10417, 0), (10417, 2), (10417, 1), (10417, 2), (10417, 1), (10417, 1), (10417, 1), (10465, 2), (10465, 1), (10465, 2), (10465, 1), (10465, 1), (10513, 1), (10513, 1), (10513, 1), (11377, 0), (11665, 1), (12769, 1), (12769, 1), (12769, 0), (13153, 1), (13201, 1), (13537, 1), (13969, 1), (14017, 1), (14161, 1), (14353, 1), (14401, 1), (14449, 1), (14497, 1), (14737, 1), (15073, 1), (15121, 1), (15169, 1), (15217, 1), (15265, 1), (15313, 1), (15313, 1), (15361, 1), (15409, 1), (15745, 1), (15985, 1), (16033, 1), (16081, 1), (16129, 1), (16225, 1), (16321, 1), (16753, 0), (16849, 1), (18049, 2), (18337, 1), 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      "\n",
      "loveactually\n",
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      "\n",
      "elf\n",
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(108577, 1), (108721, 1), (108769, 2), (109009, 1), (109249, 1), (109345, 0), (109537, 1), (109585, 2), (109681, 1), (109729, 1), (109777, 1), (109825, 1), (110209, 2), (110257, 2), (110449, 2), (110545, 0), (110593, 0), (110833, 2), (110977, 1), (111121, 1), (111313, 1), (111361, 1), (111409, 2), (111457, 1), (111505, 2), (111553, 0), (111601, 1), (111793, 1), (111889, 1), (111985, 1), (112033, 1), (112225, 2), (112513, 1), (112561, 1), (112609, 2), (112657, 2), (112801, 2), (112801, 2), (112849, 1), (112849, 1), (112897, 2), (112897, 0), (112945, 1), (112993, 1), (112993, 1), (113041, 2), (113041, 1), (113089, 1), (113137, 1), (113185, 2), (113185, 1), (113377, 1), (113473, 0), (113713, 1), (113905, 2), (114001, 2), (114001, 1), (114049, 0), (114289, 1), (114289, 1), (114337, 1), (114337, 1), (114385, 1), (114385, 1), (114433, 1), (114433, 1), (115057, 1), (115057, 1), (115057, 1), (115105, 2), (115153, 1), (115201, 0), (115201, 1), (115249, 1), (115297, 0), (115681, 2), (115681, 1), 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(120289, 1), (120337, 1), (120337, 1), (120385, 1), (120385, 1), (120433, 1), (120433, 1), (120481, 1), (120481, 0), (120529, 1), (120529, 1), (120577, 1), (120577, 1), (120625, 1), (120625, 2), (120673, 1), (120673, 0), (120817, 1), (120865, 1), (121009, 1), (121201, 1), (121345, 2), (121441, 1), (121489, 1), (121537, 2), (121681, 1), (121873, 1), (122353, 1), (122401, 1), (122449, 1), (122497, 1), (122545, 0), (122641, 1), (122689, 2), (122737, 0), (122881, 1), (122977, 1), (123025, 1), (123073, 1), (123121, 1), (123121, 1), (123169, 1), (123217, 1), (123265, 2), (123313, 2), (123361, 1), (123409, 1), (123457, 2), (123505, 1), (123553, 2), (123601, 2), (123649, 1), (123697, 2), (123745, 0), (123793, 2), (123889, 0), (123937, 0), (123985, 1), (124081, 1), (124129, 1), (124177, 1), (124225, 2), (124225, 2), (124273, 2), (124321, 1), (124369, 1), (124417, 1), (124417, 1), (124417, 1), (124465, 1), (124513, 0), (124561, 2), (124609, 1), (124657, 1), (124705, 1), (124753, 2), (124801, 2), (124897, 1), (124897, 1), (124945, 1), (124945, 2), (124945, 1), (124993, 2), (124993, 2), (125041, 2), (125089, 1), (125089, 1), (125137, 1), (125185, 1), (125233, 2), (125281, 2), (125329, 1), (125329, 1), (125377, 1), (125377, 2), (125425, 2), (125425, 2), (125473, 2), (125473, 2), (125521, 2), (125569, 2), (125617, 2), (125761, 1), (125809, 1), (125857, 1), (125905, 1), (126289, 1), (126337, 1), (126385, 1), (126433, 1), (126817, 1), (126865, 2), (126913, 2), (126961, 2), (127009, 2), (127057, 2), (127105, 1), (127153, 1), (127201, 2), (127249, 2), (127297, 1), (127633, 2), (127681, 2)]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "#SORT & DISPLAY PREDICTIONS\n",
    "movie_emotions_sorted = OrderedDict()\n",
    "for m in movies:\n",
    "    face_preds = movie_emotions[m]\n",
    "    movie_emotions_sorted[m] = sort_display_predictions(face_preds, display = False)\n",
    "    print(m)\n",
    "    print(movie_emotions_sorted[m])\n",
    "    print(\"\")\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "from matplotlib import axes\n",
    "\n",
    "def get_mean_emotion(scene_emotion):\n",
    "    total = float(len(scene_emotion))\n",
    "    avg = 0\n",
    "    for index, scene in enumerate(scene_emotion):\n",
    "        avg += scene[1]\n",
    "    return (avg/total-1)\n",
    "\n",
    "def produce_graph(scene_emotion, title, min_per_scene = 5):\n",
    "    #iterate through all the scenes and take the average of every 5 minutes worth of frames\n",
    "    avg_emotion = OrderedDict()\n",
    "    startScene = scene_emotion[0][0] \n",
    "    avg_emotion[startScene] = 0 #startScene[1] #add a new entry to avgs list\n",
    "    framesPerScene = 0 \n",
    "    for index, scene in enumerate(scene_emotion):\n",
    "        #print(avg_emotion)\n",
    "        if index == len(scene_emotion)-1: #last scene, find the average before loop ends\n",
    "            avg_emotion[startScene]/= float(framesPerScene)\n",
    "            #if this would be a new startScene then it's just not plotted sorry\n",
    "            #print(\"last one!\")\n",
    "        elif scene[0] < startScene+(min_per_scene*60*24): #still within the same scene, 5 minute bins (5*60*24 = 7200 frames)\n",
    "            #print('within', scene)\n",
    "            avg_emotion[startScene] += scene[1]  #add emotion of this scene to avg count\n",
    "            framesPerScene += 1 #add to frame count\n",
    "        else: #new scene\n",
    "            #print(\"new thing\", scene)\n",
    "            avg_emotion[startScene] /= float(framesPerScene) #actually do the average\n",
    "            framesPerScene = 1 #start over frame count\n",
    "            startScene = scene[0] #set a new start scene\n",
    "            avg_emotion[startScene] = (scene[1]) #add a new entry to avgs list\n",
    "\n",
    "    #print(scene_emotion)\n",
    "\n",
    "    lists = avg_emotion.items()\n",
    "    x, y = zip(*lists) # unpack a list of pairs into two tuples\n",
    "    #plt.xticks(timeline, x)\n",
    "    \n",
    "    #relabel from scene to minutes\n",
    "    x = [frame/float(60)/float(24) for frame in x]\n",
    "    plt.style.use('fivethirtyeight')\n",
    "    axes = plt.gca()\n",
    "    axes.set_ylim([-.25,.45])\n",
    "    y = [(yval-1) for yval in y]\n",
    "    print(y)\n",
    "    \n",
    "    plt.plot(x, y)\n",
    "    plt.xlabel('Scene (minutes)')\n",
    "    plt.ylabel('Sentiment Value')\n",
    "    if title == \"superbad\": title = \"Superbad\"\n",
    "    elif title ==\"madmax\": title = \"Mad Max\"\n",
    "    elif title == \"babydriver\": title = \"Baby Driver\"\n",
    "    elif title == \"getout\": title = \"Get Out\"\n",
    "    elif title == \"lalaland\": title = \"La La Land\"\n",
    "    elif title == \"loveactually\": title = \"Love Actually\"\n",
    "    elif title == \"elf\": title = \"Elf\"\n",
    "    elif title == \"homealone\": title = \"Home Alone\"\n",
    "    else: title = \"no title\"\n",
    "    plt.title(title, fontsize = 20)\n",
    "    \n",
    "    plt.show()\n",
    "    \n",
    "    return avg_emotion\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('superbad', 0.15207648640573646)\n",
      "('babydriver', 0.031370390753990174)\n",
      "('getout', 0.23491379310344818)\n",
      "('lalaland', 0.15473441108545027)\n",
      "('madmax', -0.11399371069182385)\n",
      "('loveactually', 0.16313407954274828)\n",
      "('elf', 0.14237144071398222)\n",
      "('homealone', 0.15524625267665959)\n"
     ]
    }
   ],
   "source": [
    "for m in movie_emotions_sorted:\n",
    "    print(m, get_mean_emotion(movie_emotions_sorted[m]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "superbad\n",
      "[0.20331950207468874, 0.24695121951219523, 0.16352201257861632, 0.014134275618374659, 0.087912087912087822, 0.076923076923076872, 0.11111111111111116, 0.18959107806691455, 0.007575757575757569, 0.23076923076923084, 0.23529411764705888, 0.14285714285714279, 0.23444976076555024]\n"
     ]
    },
    {
     "data": {
      "image/png": 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gCEKjt5eIiIjI3clc3QBHZGdnIzo6GjJZebMFQUBsbCwyMzPRpk0bi3P1ej0GDx6MzMxM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\nRhgEAAAwMMIgAACAgf0fGw0zL4En64oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1397e5950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "babydriver\n",
      "[0.089743589743589647, -0.014184397163120588, 0.058479532163742798, 0.09259259259259256, 0.36312849162011163, -0.0057803468208093012, -0.043956043956043911, 0.0, -0.020920502092050208, -0.067114093959731558, -0.14754098360655743, 0.0, 0.0]\n"
     ]
    },
    {
     "data": {
      "image/png": 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LiYhInuz29T42NhYrVqxAeXk5Fi9ebK/TErkcg0nE1mzpfMEbwjwQ4OF8vW3W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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x137bccad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "getout\n",
      "[0.30769230769230771, 0.3125, 0.28350515463917536, 0.25, 0.27573529411764697, 0.36789297658862874, 0.17708333333333326, 0.098591549295774739, 0.14622641509433953, 0.016393442622950838, -0.012345679012345734]\n"
     ]
    },
    {
     "data": {
      "image/png": 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UGEzYk6VFcloltmdoUKqrPwjeWEtwyckytK+xlmA/F1tLUK034cccXVXgy9bi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\n+AMAADAQwh8AAICBEP4AAAAM5P8A6UMOXQlB+OMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13704edd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "lalaland\n",
      "[0.028985507246376718, 0.075949367088607556, -0.02777777777777779, 0.0, 0.11363636363636354, 0.25806451612903225, 0.35593220338983045, 0.077777777777777724, 0.13669064748201443, 0.16756756756756763, 0.11111111111111116, 0.33093525179856109, 0.15384615384615374, 0.15625, 0.038461538461538547]\n"
     ]
    },
    {
     "data": {
      "image/png": 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p0WbR2QGxGmTYmU71F/Kp4lKDFcfKWTdIriWvF4zSCDZ7ZrvTsAQNOkapJMe+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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1399c2090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "madmax\n",
      "[-0.078125, -0.012987012987012991, -0.22222222222222221, -0.20430107526881724, -0.16666666666666663, -0.063829787234042534, -0.1071428571428571, -0.52000000000000002, -0.038647342995169032, -0.10429447852760731, -0.1797752808988764, -0.10999999999999999, -0.066666666666666652]\n"
     ]
    },
    {
     "data": {
      "image/png": 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oiFu3btXeHhAQgPfeew81NTVYvHixxYslIiIiIssyq2fwww8/xJ49e7Bs2TJcvXoVs2fP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\n1g5zl9+JaBXkk0U0iEqlYkKAk8EN8HSBjl/yyun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r+mvdy8sLkJibi0qloqCgAIDCwkLc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\nsf8H+AXZh6Tgp3AAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x138881950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loveactually\n",
      "[0.29914529914529919, 0.2264705882352942, 0.073469387755102034, 0.07333333333333325, 0.11803278688524599, 0.10714285714285721, 0.16666666666666674, 0.10526315789473695, 0.0, 0.19620253164556956, 0.18487394957983194, 0.049327354260089606, 0.25980392156862742, 0.26451612903225796, 0.17834394904458595]\n"
     ]
    },
    {
     "data": {
      "image/png": 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AmWrD+0vOluDlO4IR5S+/yT2JiIiAI/k6nCuSFmAe7iFZxDdzZ5QP5nUJw1O/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\nkYj9PwFSLHEicRZdAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1383b3a50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "elf\n",
      "[0.20547945205479445, 0.056497175141242861, 0.24122807017543857, 0.21951219512195119, 0.18122977346278324, 0.032608695652173836, 0.14876033057851235, 0.042704626334519658, 0.023121387283236983, 0.19327731092436973, 0.33333333333333326]\n"
     ]
    },
    {
     "data": {
      "image/png": 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3OEEQMLx1EK6KVWHa0RJsscTj0+NGnCp3fU9YBLA+z4T1eSYkhChxd9cQ3N01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\nmZmZY25JmjVr1kPPnZdKlSrp8uXLDxyTV01WVlZ5br+/wnn37t18j/1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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1361c6e50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "homealone\n",
      "[0.11111111111111116, 0.17112299465240643, 0.29651162790697683, 0.088235294117646967, 0.203125, 0.043010752688172005, 0.15789473684210531, 0.13218390804597702, 0.23376623376623384, 0.15573770491803285, 0.18888888888888888]\n"
     ]
    },
    {
     "data": {
      "image/png": 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vQpwg9Q9RRcyiiJf3ZGH91WKL2z7u4o0nm3nY5Xljwtyw48FAjNmWYbHe+lRm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\nSS4uLtqyZYtd956amqo//vGPunbtmkwmk+rUqaMZM2aoTZs2dt33bw0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      "text/plain": [
       "<matplotlib.figure.Figure at 0x137031650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#MAKE THE GRAPHS\n",
    "\n",
    "for m in movie_emotions_sorted:\n",
    "    print(m)\n",
    "    #print(movie_emotions_sorted[m])\n",
    "    produce_graph(movie_emotions_sorted[m], m, min_per_scene = 8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:CompVision]",
   "language": "python",
   "name": "conda-env-CompVision-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}