3_topics_extraction_with_lda.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import sys\n",
    "import json\n",
    "import pprint\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "import random\n",
    "from time import time\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from pymongo import MongoClient\n",
    "from stop_words import get_stop_words\n",
    "from nltk.stem import WordNetLemmatizer\n",
    "import gensim\n",
    "from gensim import corpora, models\n",
    "from sklearn.feature_extraction.text import TfidfVectorizer\n",
    "from sklearn.decomposition import LatentDirichletAllocation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def SaveDict(filename, mode, root):\n",
    "    if filename[-4:]!=\".txt\":\n",
    "        filename+=\".txt\"\n",
    "    with open(filename, mode) as f:\n",
    "        f.write(pprint.pformat(root))\n",
    "\n",
    "def LoadDict(filename):\n",
    "    if filename[-4:]!=\".txt\":\n",
    "        filename+=\".txt\"\n",
    "    with open(filename, \"r\") as f:\n",
    "        return eval(f.read())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def print_top_words(model, feature_names, n_top_words):\n",
    "    for topic_idx, topic in enumerate(model.components_):\n",
    "        print(\"Topic #%d:\" % topic_idx)\n",
    "        print(\" \".join([feature_names[i]\n",
    "                        for i in topic.argsort()[:-n_top_words - 1:-1]]))\n",
    "    print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "client = MongoClient()\n",
    "db = client.twitter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "texts = []\n",
    "for article in db.articles.find():\n",
    "    doc = article['text']\n",
    "\n",
    "    doc = doc.replace(\"\\n\",\" \")\n",
    "    doc = doc.replace(\"\\'\",\"\")\n",
    "\n",
    "    doc = gensim.utils.simple_preprocess(doc)\n",
    "\n",
    "    wordnet_lemmatizer = WordNetLemmatizer()\n",
    "    doc = [wordnet_lemmatizer.lemmatize(word) for word in doc]\n",
    "    doc = [wordnet_lemmatizer.lemmatize(word,pos='v') for word in doc]\n",
    "\n",
    "    en_stop = get_stop_words('en')\n",
    "    letters = [\"a\",\"b\",\"c\",\"d\",\"e\",\"f\",\"g\",\"h\",\"i\",\"j\",\"k\",\"l\",\"m\",\"n\",\"o\",\"p\",\"q\",\"r\",\"s\",\"t\",\"u\",\"v\",\"w\",\"x\",\"y\",\"z\"]\n",
    "    other = [\"wa\",\"ha\",\"one\",\"two\",\"id\",\"re\",\"http\",\"com\",\"mr\",\"image\",\"photo\",\"caption\",\"don\",\"sen\",\"pic\",\"co\",\n",
    "             \"source\",\"watch\",\"play\",\"duration\",\"video\",\"momentjs\",\"getty\",\"images\",\"newsletter\", \"story\", \"go\", \"like\", \"say\",\n",
    "             \"will\", \"just\", \"today\", \"can\", \"year\", \"make\", \"view\", \"read\"]\n",
    "    doc = [word for word in doc if not word in (en_stop+letters+other)]\n",
    "    db.articles.update_one({\"_id\": article[\"_id\"]}, {\"$set\": {\"clean_text\": doc}})\n",
    "    texts.append(doc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "random.seed(42)\n",
    "train_set = random.sample(list(range(0,len(texts))),len(texts)-1000)\n",
    "test_set = [x for x in list(range(0,len(texts))) if x not in train_set]\n",
    "\n",
    "train_texts = [texts[i] for i in train_set]\n",
    "test_texts = [texts[i] for i in test_set]\n",
    "\n",
    "pickle.dump([train_set,test_set,train_texts,test_texts],open('./data/pub_articles_train_test_sets.pkl','wb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train_Set, test_set, train_texts, test_texts = pickle.load(open('./data/pub_articles_train_test_sets.pkl','rb'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## tf-idf + LDA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "topicnums = [1,5,10,15,20,30,40,50,60,70,80,90,100]\n",
    "\n",
    "dictionary = corpora.Dictionary(train_texts)\n",
    "corpus = [dictionary.doc2bow(text) for text in train_texts]\n",
    "tfidf = models.TfidfModel(corpus)\n",
    "corpus_tfidf = tfidf[corpus]\n",
    "print corpus_tfidf\n",
    "\n",
    "ldamodels_tfidf = {}\n",
    "for i in topicnums:\n",
    "    random.seed(42)\n",
    "    %time ldamodels_tfidf[i] = models.ldamodel.LdaModel(corpus_tfidf,num_topics=i,id2word=dictionary)\n",
    "    ldamodels_tfidf[i].save('./data/ldamodels_tfidf_'+str(i)+'.lda')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# http://radimrehurek.com/topic_modeling_tutorial/2%20-%20Topic%20Modeling.html\n",
    "def intra_inter_tfidf(lda_model, dictionary, test_docs, num_pairs=10000):\n",
    "    \n",
    "    # Split each test document into two halves and compute topics for each half\n",
    "    part1 = [lda_model[tfidf[dictionary.doc2bow(tokens[:int(len(tokens)/2)])]] for tokens in test_docs]\n",
    "    part2 = [lda_model[tfidf[dictionary.doc2bow(tokens[int(len(tokens)/2):])]] for tokens in test_docs]   \n",
    "    \n",
    "    # Compute topic distribution similarities using cosine similarity\n",
    "    \n",
    "    #print(\"Average cosine similarity between corresponding parts (higher is better):\")\n",
    "    corresp_parts = np.mean([gensim.matutils.cossim(p1, p2) for p1, p2 in zip(part1, part2)])\n",
    "\n",
    "    #print(\"Average cosine similarity between 10,000 random parts (lower is better):\")    \n",
    "    random.seed(42)\n",
    "    random_pairs = np.random.randint(0, len(test_docs), size=(num_pairs, 2))\n",
    "    random_parts = np.mean([gensim.matutils.cossim(part1[i[0]], part2[i[1]]) for i in random_pairs])\n",
    "    \n",
    "    return corresp_parts, random_parts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "topicnums = [1,5,10,15,20,30,40,50,60,70,80,90,100]\n",
    "ldamodels_eval = {}\n",
    "for i in topicnums:\n",
    "    lda_model = models.ldamodel.LdaModel.load('./data/ldamodels_tfidf_'+str(i)+'.lda')\n",
    "    ldamodels_eval[i] = intra_inter_tfidf(lda_model, dictionary, test_texts)\n",
    "    \n",
    "pickle.dump(ldamodels_eval,open('./data/pub_ldamodels_tfidf_eval.pkl','wb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "topicnums = [1,5,10,15,20,30,40,50,60,70,80,90,100]\n",
    "\n",
    "ldamodels_eval = pickle.load(open('./data/pub_ldamodels_tfidf_eval.pkl','rb'))\n",
    "corresp_parts = [ldamodels_eval[i][0] for i in topicnums]\n",
    "random_parts = [ldamodels_eval[i][1] for i in topicnums]\n",
    "sns.set_context(\"poster\")\n",
    "with sns.axes_style(\"darkgrid\"):\n",
    "    x = topicnums\n",
    "    y1 = corresp_parts\n",
    "    y2 = random_parts\n",
    "    plt.plot(x,y1,label='Parts from same article')\n",
    "    plt.plot(x,y2,label='Parts from random articles')\n",
    "    plt.ylim([0.0,1.0])\n",
    "    plt.xlabel('Number of topics')\n",
    "    plt.ylabel('Average cosine similarity')    \n",
    "    plt.legend()    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "topicnums = [1,5,10,15,20,30,40,50,60,70,80,90,100]\n",
    "\n",
    "lda_topics = {}\n",
    "for i in topicnums:\n",
    "    lda_model = models.ldamodel.LdaModel.load('./data/ldamodels_tfidf_'+str(i)+'.lda')\n",
    "    lda_topics_string = lda_model.show_topics(i)\n",
    "    lda_topics[i] = [\"\".join([c if c.isalpha() else \" \" for c in topic[1]]).split() for topic in lda_topics_string]\n",
    "\n",
    "pickle.dump(lda_topics,open('./data/pub_lda_tfidf_topics.pkl','wb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def jaccard_similarity(query, document):\n",
    "    intersection = set(query).intersection(set(document))\n",
    "    union = set(query).union(set(document))\n",
    "    return float(len(intersection))/float(len(union))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lda_stability = {}\n",
    "for i in range(0,len(topicnums)-1):\n",
    "    jacc_sims = []\n",
    "    for t1,topic1 in enumerate(lda_topics[topicnums[i]]):\n",
    "        sims = []\n",
    "        for t2,topic2 in enumerate(lda_topics[topicnums[i+1]]):\n",
    "            sims.append(jaccard_similarity(topic1,topic2))    \n",
    "        jacc_sims.append(sims)    \n",
    "    lda_stability[topicnums[i]] = jacc_sims\n",
    "    \n",
    "pickle.dump(lda_stability,open('./data/pub_lda_tfidf_stability.pkl','wb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "topicnums = [1,5,10,20,30,40,50,60,70,80,90,100]\n",
    "\n",
    "lda_stability = pickle.load(open('./data/pub_lda_tfidf_stability.pkl','rb'))\n",
    "mean_stability = [np.array(lda_stability[i]).mean() for i in topicnums[:-1]]\n",
    "\n",
    "with sns.axes_style(\"darkgrid\"):\n",
    "    x = topicnums[:-1]\n",
    "    y = mean_stability\n",
    "    plt.plot(x,y,label='Mean overlap')\n",
    "    plt.xlim([1, 100])\n",
    "    plt.ylim([0, 1])\n",
    "    plt.xlabel('Number of topics')\n",
    "    plt.ylabel('Average Jaccard similarity')    \n",
    "    #plt.legend()    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bag of Words + LDA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "topicnums = [1,5,10,15,20,30,40,50,60,70,80,90,100]\n",
    "\n",
    "dictionary = corpora.Dictionary(train_texts)\n",
    "pickle.dump(dictionary,open('./data/pub_ldamodels_bow_dictionary.pkl','wb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "corpus = [dictionary.doc2bow(text) for text in train_texts]\n",
    "\n",
    "ldamodels_bow = {}\n",
    "for i in topicnums:\n",
    "    random.seed(42)\n",
    "    %time ldamodels_bow[i] = models.ldamodel.LdaModel(corpus,num_topics=i,id2word=dictionary)\n",
    "    ldamodels_bow[i].save('./data/ldamodels_bow_'+str(i)+'.lda')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 172,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# http://radimrehurek.com/topic_modeling_tutorial/2%20-%20Topic%20Modeling.html\n",
    "def intra_inter_bow(lda_model, dictionary, test_docs, num_pairs=10000):\n",
    "    \n",
    "    # Split each test document into two halves and compute topics for each half\n",
    "    part1 = [lda_model[dictionary.doc2bow(tokens[:int(len(tokens)/2)])] for tokens in test_docs]\n",
    "    part2 = [lda_model[dictionary.doc2bow(tokens[int(len(tokens)/2):])] for tokens in test_docs]   \n",
    "    \n",
    "    # Compute topic distribution similarities using cosine similarity\n",
    "    \n",
    "    #print(\"Average cosine similarity between corresponding parts (higher is better):\")\n",
    "    corresp_parts = np.mean([gensim.matutils.cossim(p1, p2) for p1, p2 in zip(part1, part2)])\n",
    "\n",
    "    #print(\"Average cosine similarity between 10,000 random parts (lower is better):\")    \n",
    "    random.seed(42)\n",
    "    random_pairs = np.random.randint(0, len(test_docs), size=(num_pairs, 2))\n",
    "    random_parts = np.mean([gensim.matutils.cossim(part1[i[0]], part2[i[1]]) for i in random_pairs])\n",
    "    \n",
    "    return corresp_parts, random_parts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 173,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ldamodels_eval = {}\n",
    "for i in topicnums:\n",
    "    lda_model = models.ldamodel.LdaModel.load('./data/ldamodels_bow_'+str(i)+'.lda')\n",
    "    ldamodels_eval[i] = intra_inter_bow(lda_model, dictionary, test_texts)\n",
    "    \n",
    "pickle.dump(ldamodels_eval,open('./data/pub_ldamodels_bow_eval.pkl','wb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9+/ZM+/ilpaUxdOhQTp06Rdu2bXFzc+PFixf4+vri4uLC5s2b5d+wqVOnsm/fPrp3746F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\nEREROe3/AytVYoZktDTkAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1151a6e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "topicnums = [1,5,10,15,20,30,40,50,60,70,80,90,100]\n",
    "\n",
    "ldamodels_eval = pickle.load(open('./data/pub_ldamodels_bow_eval.pkl','rb'))\n",
    "corresp_parts = [ldamodels_eval[i][0] for i in topicnums]\n",
    "random_parts = [ldamodels_eval[i][1] for i in topicnums]\n",
    "sns.set_context(\"poster\")\n",
    "with sns.axes_style(\"darkgrid\"):\n",
    "    x = topicnums\n",
    "    y1 = corresp_parts\n",
    "    y2 = random_parts\n",
    "    plt.plot(x,y1,label='Parts from same article')\n",
    "    plt.plot(x,y2,label='Parts from random articles')\n",
    "    plt.ylim([0.0,1.0])\n",
    "    plt.xlabel('Number of topics')\n",
    "    plt.ylabel('Average cosine similarity') \n",
    "    plt.title('Average Cosine Similarity Between Topics From Parts of Articles')\n",
    "    plt.legend()    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 175,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "topicnums = [1,5,10,15,20,30,40,50,60,70,80,90,100]\n",
    "\n",
    "lda_topics = {}\n",
    "for i in topicnums:\n",
    "    lda_model = models.ldamodel.LdaModel.load('./data/ldamodels_bow_'+str(i)+'.lda')\n",
    "    lda_topics_string = lda_model.show_topics(i)\n",
    "    lda_topics[i] = [\"\".join([c if c.isalpha() else \" \" for c in topic[1]]).split() for topic in lda_topics_string]\n",
    "\n",
    "pickle.dump(lda_topics,open('./data/pub_lda_bow_topics.pkl','wb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "lda_stability = {}\n",
    "for i in range(0,len(topicnums)-1):\n",
    "    jacc_sims = []\n",
    "    for t1,topic1 in enumerate(lda_topics[topicnums[i]]):\n",
    "        sims = []\n",
    "        for t2,topic2 in enumerate(lda_topics[topicnums[i+1]]):\n",
    "            sims.append(jaccard_similarity(topic1,topic2))    \n",
    "        jacc_sims.append(sims)    \n",
    "    lda_stability[topicnums[i]] = jacc_sims\n",
    "    \n",
    "pickle.dump(lda_stability,open('./data/pub_lda_bow_stability.pkl','wb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ILilJJe7p06e4cOEC2rVrh8mTJ5d0OEREX4USHemoX78+oqOjUb58eQQGBn60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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1154c1910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "topicnums = [1,5,10,20,30,40,50,60,70,80,90,100]\n",
    "\n",
    "lda_stability = pickle.load(open('./data/pub_lda_bow_stability.pkl','rb'))\n",
    "mean_stability = [np.array(lda_stability[i]).mean() for i in topicnums[:-1]]\n",
    "\n",
    "with sns.axes_style(\"darkgrid\"):\n",
    "    x = topicnums[:-1]\n",
    "    y = mean_stability\n",
    "    plt.plot(x,y,label='Average Overlap Between Topics')\n",
    "    plt.xlim([1, 100])\n",
    "    plt.ylim([0, 1])\n",
    "    plt.xlabel('Number of topics')\n",
    "    plt.ylabel('Average Jaccard similarity')   \n",
    "    plt.title('Average Jaccard Similarity Between Topics')\n",
    "    plt.legend()    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Optimal Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "num_topics = 20\n",
    "lda_model = models.ldamodel.LdaModel.load('./data/ldamodels_bow_'+str(num_topics)+'.lda')\n",
    "doc_dict = pickle.load(open('./data/pub_ldamodels_bow_dictionary.pkl','rb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 195,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "lda_topics = lda_model.show_topics(num_topics)\n",
    "lda_topics_words = [\"\".join([c if c.isalpha() else \" \" for c in topic[1]]).split() for topic in lda_topics]\n",
    "lda_topics_disp = [(\"topic \"+str(i)+\": \")+\" \".join(topic) for i,topic in enumerate(lda_topics_words)]\n",
    "lda_topics_disp\n",
    "pickle.dump(lda_topics_disp,open('./data/pub_lda_bow_topics.pkl','wb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "article_topics = {}\n",
    "retweet_count = {}\n",
    "for i in range(num_topics):\n",
    "    db.articles.update_many({}, {\"$unset\": {\"topic \"+str(i): \"\"}}, upsert=True)\n",
    "for article in db.articles.find():\n",
    "    doc = article[\"clean_text\"]\n",
    "    #doc_dict = gensim.corpora.Dictionary([doc])\n",
    "    doc_corp = doc_dict.doc2bow(doc)\n",
    "\n",
    "    doc_prob = lda_model[doc_corp]\n",
    "    \n",
    "    topic_prob = [0 for i in range(num_topics)]\n",
    "    for prob in doc_prob:\n",
    "        topic_prob[prob[0]] = prob[1] \n",
    "        \n",
    "    article_topics[article[\"id\"]] = topic_prob\n",
    "    retweet_count[article[\"id\"]] = db.posts.find_one({\"id\": article[\"id\"]})[\"retweet_count\"]\n",
    "    \n",
    "    for probs in doc_prob:\n",
    "        db.articles.update_one({\"_id\": article[\"_id\"]}, {\"$set\": {\"topic \"+str(probs[0]): probs[1]}})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Group Topic Extration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "dictionary = pickle.load(open('./data/pub_ldamodels_bow_dictionary.pkl','rb'))\n",
    "group_doc = {0:[], 1:[], 2:[], 3:[], 4:[], 5:[]}\n",
    "for article in db.articles.find():\n",
    "    if \"label\" in article:\n",
    "        group_doc[int(article[\"label\"])] += article[\"clean_text\"]\n",
    "\n",
    "group_topics = {}\n",
    "for i in group_doc.keys():\n",
    "    doc_corp = dictionary.doc2bow(group_doc[i])\n",
    "    doc_prob = lda_model[doc_corp]\n",
    "    \n",
    "    topic_prob = [0 for j in range(num_topics)]\n",
    "    for prob in doc_prob:\n",
    "        topic_prob[prob[0]] = prob[1]\n",
    "    group_topics[i] = doc_prob\n",
    "\n",
    "pickle.dump(group_topics, open('./data/group_lda_bow_topics.pkl','wb')) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def to_full_vec(group_topics, num_topics):\n",
    "    topic_vec = [0 for j in range(num_topics)]\n",
    "    for prob in group_topics:\n",
    "        topic_vec[prob[0]] = prob[1]\n",
    "    return topic_vec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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Jl3e779y5U8HBwWXGh4SEKCUlxarvvffe0+uvv66UlBTddtttN6JsAAAA3ILa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\n2DEjAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1152276d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "group_topics = pickle.load(open('./data/group_lda_bow_topics.pkl', 'rb'))\n",
    "\n",
    "sns.set_context(\"poster\")\n",
    "fig, ax = plt.subplots()\n",
    "width = 0.13\n",
    "colors = [\"#3366cc\", \"#dc3912\", \"#ff9900\", \"#109618\", \"#990099\", \"#7a5230\"]\n",
    "with sns.axes_style(\"darkgrid\"):\n",
    "    for i in range(6):\n",
    "        position = [j+i*width for j in range(num_topics)]\n",
    "        ax.bar(position, to_full_vec(group_topics[i], num_topics), width, label=\"group \"+str(i), color=colors[i])\n",
    "    plt.xlabel(\"Topics\")\n",
    "    plt.ylabel(\"Probability Distribution\")\n",
    "    position = [j+3*width for j in range(num_topics)]\n",
    "    plt.xticks(position, [\"topic \"+str(i) for i in range(num_topics)], rotation=60)\n",
    "    plt.ylim(0, 0.5)\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "topic 15: trump comey president house investigation white russia fire director russian\n",
      "topic 11: percent continue company market main advertisement bank new china time\n",
      "topic 6: bloomberg data new business news time information company people financial\n",
      "topic 3: trump state climate president budget change continue country unite paris\n"
     ]
    },
    {
     "data": {
      "image/png": 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Yx4g9FKtWrZIk9e3bVzab7arjU6ZMKe1IAAAAgFcwolDs2rVLktS8eXP9/vvvWr16tfbs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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110b24250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set_context(\"poster\")\n",
    "topics = np.zeros(num_topics)\n",
    "for i in range(6):\n",
    "    topics += to_full_vec(group_topics[i], num_topics)\n",
    "sorted_topics = -np.sort(-topics)\n",
    "idx_sorted = np.argsort(-topics)\n",
    "lda_topics = pickle.load(open('./data/pub_lda_bow_topics.pkl','rb'))\n",
    "for i in range(4):\n",
    "    print lda_topics[idx_sorted[i]]\n",
    "plt.figure()\n",
    "sns.set(font_scale=2.3)\n",
    "with sns.axes_style(\"darkgrid\"):\n",
    "    plt.barh(range(num_topics)[::-1], sorted_topics/6.0, color='grey')\n",
    "    plt.yticks([i-0.2 for i in range(num_topics)], [str(i+1) for i in range(num_topics)[::-1]])\n",
    "    plt.ylabel(\"Topic Index\")\n",
    "    plt.xlabel(\"Topic Probability Distributions\")\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <div class=\"bk-root\">\n",
       "        <a href=\"http://bokeh.pydata.org\" target=\"_blank\" class=\"bk-logo bk-logo-small bk-logo-notebook\"></a>\n",
       "        <span id=\"e7cdb88b-7ba6-467a-a1ff-3e49000f940d\">Loading BokehJS ...</span>\n",
       "    </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "(function(global) {\n",
       "  function now() {\n",
       "    return new Date();\n",
       "  }\n",
       "\n",
       "  var force = true;\n",
       "\n",
       "  if (typeof (window._bokeh_onload_callbacks) === \"undefined\" || force === true) {\n",
       "    window._bokeh_onload_callbacks = [];\n",
       "    window._bokeh_is_loading = undefined;\n",
       "  }\n",
       "\n",
       "\n",
       "  \n",
       "  if (typeof (window._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "    window._bokeh_timeout = Date.now() + 5000;\n",
       "    window._bokeh_failed_load = false;\n",
       "  }\n",
       "\n",
       "  var NB_LOAD_WARNING = {'data': {'text/html':\n",
       "     \"<div style='background-color: #fdd'>\\n\"+\n",
       "     \"<p>\\n\"+\n",
       "     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "     \"</p>\\n\"+\n",
       "     \"<ul>\\n\"+\n",
       "     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "     \"</ul>\\n\"+\n",
       "     \"<code>\\n\"+\n",
       "     \"from bokeh.resources import INLINE\\n\"+\n",
       "     \"output_notebook(resources=INLINE)\\n\"+\n",
       "     \"</code>\\n\"+\n",
       "     \"</div>\"}};\n",
       "\n",
       "  function display_loaded() {\n",
       "    if (window.Bokeh !== undefined) {\n",
       "      var el = document.getElementById(\"e7cdb88b-7ba6-467a-a1ff-3e49000f940d\");\n",
       "      el.textContent = \"BokehJS \" + Bokeh.version + \" successfully loaded.\";\n",
       "    } else if (Date.now() < window._bokeh_timeout) {\n",
       "      setTimeout(display_loaded, 100)\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function run_callbacks() {\n",
       "    window._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n",
       "    delete window._bokeh_onload_callbacks\n",
       "    console.info(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(js_urls, callback) {\n",
       "    window._bokeh_onload_callbacks.push(callback);\n",
       "    if (window._bokeh_is_loading > 0) {\n",
       "      console.log(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "      return null;\n",
       "    }\n",
       "    if (js_urls == null || js_urls.length === 0) {\n",
       "      run_callbacks();\n",
       "      return null;\n",
       "    }\n",
       "    console.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    window._bokeh_is_loading = js_urls.length;\n",
       "    for (var i = 0; i < js_urls.length; i++) {\n",
       "      var url = js_urls[i];\n",
       "      var s = document.createElement('script');\n",
       "      s.src = url;\n",
       "      s.async = false;\n",
       "      s.onreadystatechange = s.onload = function() {\n",
       "        window._bokeh_is_loading--;\n",
       "        if (window._bokeh_is_loading === 0) {\n",
       "          console.log(\"Bokeh: all BokehJS libraries loaded\");\n",
       "          run_callbacks()\n",
       "        }\n",
       "      };\n",
       "      s.onerror = function() {\n",
       "        console.warn(\"failed to load library \" + url);\n",
       "      };\n",
       "      console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "      document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "    }\n",
       "  };var element = document.getElementById(\"e7cdb88b-7ba6-467a-a1ff-3e49000f940d\");\n",
       "  if (element == null) {\n",
       "    console.log(\"Bokeh: ERROR: autoload.js configured with elementid 'e7cdb88b-7ba6-467a-a1ff-3e49000f940d' but no matching script tag was found. \")\n",
       "    return false;\n",
       "  }\n",
       "\n",
       "  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-0.12.5.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.5.min.js\"];\n",
       "\n",
       "  var inline_js = [\n",
       "    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
       "    },\n",
       "    \n",
       "    function(Bokeh) {\n",
       "      \n",
       "    },\n",
       "    \n",
       "    function(Bokeh) {\n",
       "      \n",
       "      document.getElementById(\"e7cdb88b-7ba6-467a-a1ff-3e49000f940d\").textContent = \"BokehJS is loading...\";\n",
       "    },\n",
       "    function(Bokeh) {\n",
       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-0.12.5.min.css\");\n",
       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-0.12.5.min.css\");\n",
       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.5.min.css\");\n",
       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.5.min.css\");\n",
       "    }\n",
       "  ];\n",
       "\n",
       "  function run_inline_js() {\n",
       "    \n",
       "    if ((window.Bokeh !== undefined) || (force === true)) {\n",
       "      for (var i = 0; i < inline_js.length; i++) {\n",
       "        inline_js[i](window.Bokeh);\n",
       "      }if (force === true) {\n",
       "        display_loaded();\n",
       "      }} else if (Date.now() < window._bokeh_timeout) {\n",
       "      setTimeout(run_inline_js, 100);\n",
       "    } else if (!window._bokeh_failed_load) {\n",
       "      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "      window._bokeh_failed_load = true;\n",
       "    } else if (force !== true) {\n",
       "      var cell = $(document.getElementById(\"e7cdb88b-7ba6-467a-a1ff-3e49000f940d\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "\n",
       "  }\n",
       "\n",
       "  if (window._bokeh_is_loading === 0) {\n",
       "    console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(js_urls, function() {\n",
       "      console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(this));"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "    <div class=\"bk-root\">\n",
       "        <div class=\"bk-plotdiv\" id=\"f8e21d62-8d3a-4162-8aa6-92fc56e22075\"></div>\n",
       "    </div>\n",
       "<script type=\"text/javascript\">\n",
       "  \n",
       "  (function(global) {\n",
       "    function now() {\n",
       "      return new Date();\n",
       "    }\n",
       "  \n",
       "    var force = false;\n",
       "  \n",
       "    if (typeof (window._bokeh_onload_callbacks) === \"undefined\" || force === true) {\n",
       "      window._bokeh_onload_callbacks = [];\n",
       "      window._bokeh_is_loading = undefined;\n",
       "    }\n",
       "  \n",
       "  \n",
       "    \n",
       "    if (typeof (window._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "      window._bokeh_timeout = Date.now() + 0;\n",
       "      window._bokeh_failed_load = false;\n",
       "    }\n",
       "  \n",
       "    var NB_LOAD_WARNING = {'data': {'text/html':\n",
       "       \"<div style='background-color: #fdd'>\\n\"+\n",
       "       \"<p>\\n\"+\n",
       "       \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "       \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "       \"</p>\\n\"+\n",
       "       \"<ul>\\n\"+\n",
       "       \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "       \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "       \"</ul>\\n\"+\n",
       "       \"<code>\\n\"+\n",
       "       \"from bokeh.resources import INLINE\\n\"+\n",
       "       \"output_notebook(resources=INLINE)\\n\"+\n",
       "       \"</code>\\n\"+\n",
       "       \"</div>\"}};\n",
       "  \n",
       "    function display_loaded() {\n",
       "      if (window.Bokeh !== undefined) {\n",
       "        var el = document.getElementById(\"f8e21d62-8d3a-4162-8aa6-92fc56e22075\");\n",
       "        el.textContent = \"BokehJS \" + Bokeh.version + \" successfully loaded.\";\n",
       "      } else if (Date.now() < window._bokeh_timeout) {\n",
       "        setTimeout(display_loaded, 100)\n",
       "      }\n",
       "    }\n",
       "  \n",
       "    function run_callbacks() {\n",
       "      window._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n",
       "      delete window._bokeh_onload_callbacks\n",
       "      console.info(\"Bokeh: all callbacks have finished\");\n",
       "    }\n",
       "  \n",
       "    function load_libs(js_urls, callback) {\n",
       "      window._bokeh_onload_callbacks.push(callback);\n",
       "      if (window._bokeh_is_loading > 0) {\n",
       "        console.log(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "        return null;\n",
       "      }\n",
       "      if (js_urls == null || js_urls.length === 0) {\n",
       "        run_callbacks();\n",
       "        return null;\n",
       "      }\n",
       "      console.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "      window._bokeh_is_loading = js_urls.length;\n",
       "      for (var i = 0; i < js_urls.length; i++) {\n",
       "        var url = js_urls[i];\n",
       "        var s = document.createElement('script');\n",
       "        s.src = url;\n",
       "        s.async = false;\n",
       "        s.onreadystatechange = s.onload = function() {\n",
       "          window._bokeh_is_loading--;\n",
       "          if (window._bokeh_is_loading === 0) {\n",
       "            console.log(\"Bokeh: all BokehJS libraries loaded\");\n",
       "            run_callbacks()\n",
       "          }\n",
       "        };\n",
       "        s.onerror = function() {\n",
       "          console.warn(\"failed to load library \" + url);\n",
       "        };\n",
       "        console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "        document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "      }\n",
       "    };var element = document.getElementById(\"f8e21d62-8d3a-4162-8aa6-92fc56e22075\");\n",
       "    if (element == null) {\n",
       "      console.log(\"Bokeh: ERROR: autoload.js configured with elementid 'f8e21d62-8d3a-4162-8aa6-92fc56e22075' but no matching script tag was found. \")\n",
       "      return false;\n",
       "    }\n",
       "  \n",
       "    var js_urls = [];\n",
       "  \n",
       "    var inline_js = [\n",
       "      function(Bokeh) {\n",
       "        (function() {\n",
       "          var fn = function() {\n",
       "            var docs_json = 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       "            var render_items = [{\"docid\":\"1f978427-a0f6-4ba6-b5c5-1d41fb486a30\",\"elementid\":\"f8e21d62-8d3a-4162-8aa6-92fc56e22075\",\"modelid\":\"bfb0af86-05b4-47c8-aad4-705960847833\"}];\n",
       "            \n",
       "            Bokeh.embed.embed_items(docs_json, render_items);\n",
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       "      function(Bokeh) {\n",
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       "        for (var i = 0; i < inline_js.length; i++) {\n",
       "          inline_js[i](window.Bokeh);\n",
       "        }if (force === true) {\n",
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       "        }} else if (Date.now() < window._bokeh_timeout) {\n",
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       "        console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
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       "        var cell = $(document.getElementById(\"f8e21d62-8d3a-4162-8aa6-92fc56e22075\")).parents('.cell').data().cell;\n",
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       "  \n",
       "    if (window._bokeh_is_loading === 0) {\n",
       "      console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "      run_inline_js();\n",
       "    } else {\n",
       "      load_libs(js_urls, function() {\n",
       "        console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "        run_inline_js();\n",
       "      });\n",
       "    }\n",
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from collections import OrderedDict\n",
    "\n",
    "import pandas as pd\n",
    "\n",
    "from bokeh.plotting import figure, output_file, show\n",
    "from bokeh.charts import Bar\n",
    "from bokeh.io import output_notebook \n",
    "\n",
    "d_list = []\n",
    "for j in range(6):\n",
    "    for i in range(num_topics):\n",
    "        d = {}\n",
    "        d['group'] = j\n",
    "        d['topic'] = i\n",
    "        d['Probability'] = to_full_vec(group_topics[j], num_topics)[i]/6.0\n",
    "        d_list.append(d)\n",
    "df = pd.DataFrame(d_list)\n",
    "\n",
    "output_notebook()\n",
    "\n",
    "p = Bar(df, label='topic', values='Probability', stack='group', plot_width=900, plot_height=500, palette=colors)\n",
    "show(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.03874294327702537, 0.010639889390943798, 0.078225765332188002, 0.037139799051158405, 0.052945764939700962, 0.03074419953908071, 0.13257092345052149, 0.012397556029612074, 0.010736677435228542, 0, 0.042931423317678213, 0.31124156299533168, 0.016231246972906961, 0.063352243737119548, 0.061914168841395577, 0.021802665213730352, 0.050031018187442974, 0, 0, 0.018655198765390194]\n"
     ]
    },
    {
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mTT3++OPlrnvwwQf19ttva8mSJW4vFNKf92r069dP/fr1u+DY4sWLJUmNGjVy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\ngiAIgiDMmAgoBEEQBEEQBEGYsT8BlcH5lB82CMUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110426d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set_context(\"poster\")\n",
    "plt.figure()\n",
    "group = 0\n",
    "topics = to_full_vec(group_topics[group], num_topics)\n",
    "print topics\n",
    "sorted_topics = np.zeros((2, num_topics))\n",
    "for i in range(num_topics):\n",
    "    sorted_topics[0, i] = topics[idx_sorted[i]]\n",
    "    \n",
    "group = 3\n",
    "topics = to_full_vec(group_topics[group], num_topics)\n",
    "for i in range(num_topics):\n",
    "    sorted_topics[1, i] = topics[idx_sorted[i]]\n",
    "\n",
    "sns.set_context(\"poster\")\n",
    "sns.set(font_scale=2.3)\n",
    "with sns.axes_style(\"darkgrid\"):\n",
    "    plt.barh(range(num_topics)[::-1], sorted_topics[0,:], label=\"group \"+str(0), color=colors[0], align='center')\n",
    "    plt.barh(range(num_topics)[::-1], -sorted_topics[1,:], label=\"group \"+str(3), color=colors[3], align='center')\n",
    "    plt.yticks([i for i in range(num_topics)], [str(i+1) for i in range(num_topics)[::-1]])\n",
    "    plt.xticks([-0.4,-0.2, 0.0, 0.2, 0.4], [0.4, 0.2, 0.0, 0.2, 0.4])\n",
    "    plt.xlim(-0.5, 0.5)\n",
    "    plt.ylabel(\"Topic Index\")\n",
    "    plt.xlabel(\"Topic Probability Distribution in Group 0(Blue) and 3(Green)\")\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Z+QAAAABYyCULxAcffKDFixeXu7bBZrOpffv2iomJUa9evZwSEAAAAIB1VFgg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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110af16d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set_context(\"poster\")\n",
    "plt.figure()\n",
    "group = 3\n",
    "topics = to_full_vec(group_topics[group], num_topics)\n",
    "sorted_topics = np.zeros(num_topics)\n",
    "for i in range(num_topics):\n",
    "    sorted_topics[i] = topics[idx_sorted[i]]\n",
    "with sns.axes_style(\"darkgrid\"):\n",
    "    plt.bar(range(num_topics), sorted_topics, width = 0.8, label=\"group \"+str(group), color=colors[group])\n",
    "    plt.xlabel(\"Topics\")\n",
    "    plt.ylabel(\"Probability Distribution\")\n",
    "    plt.xticks([i-0.2 for i in range(num_topics)], [\"topic \"+str(i+1) for i in range(num_topics)], rotation=60)\n",
    "    plt.ylim(0, 0.5)\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "lda_topics = pickle.load(open('./data/pub_lda_bow_topics.pkl','rb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "topic 0: trump president saudi state first arabia house israel country washington\n",
      "topic 1: main continue advertisement please time new receive error know people\n",
      "topic 2: woman people show get tell time know first think life\n",
      "topic 3: trump state climate president budget change continue country unite paris\n",
      "topic 4: continue main advertisement city new get take time work call\n",
      "topic 5: republican trump court election vote bill people democrat gianforte president\n",
      "topic 6: bloomberg data new business news time information company people financial\n",
      "topic 7: trump health republican president house bill care people continue tax\n",
      "topic 8: location tweet trump twitter president add history learn always delete\n",
      "topic 9: main advertisement continue trump time state president new please official\n",
      "topic 10: continue time main trump new president advertisement free visit information\n",
      "topic 11: percent continue company market main advertisement bank new china time\n",
      "topic 12: continue main school student advertisement time attack police new manchester\n",
      "topic 13: time continue new main get advertisement child woman tell family\n",
      "topic 14: season game status get team time show new player renew\n",
      "topic 15: trump comey president house investigation white russia fire director russian\n",
      "topic 16: time food people work new get may trump find day\n",
      "topic 17: main continue advertisement trump state time attack may come new\n",
      "topic 18: ice glacier work rep shelf ross new marriage know continue\n",
      "topic 19: attack people continue state may manchester muslim police new kill\n"
     ]
    }
   ],
   "source": [
    "for i in range(num_topics):\n",
    "    print lda_topics[i]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "group = 3\n",
    "group_topics = pickle.load(open('./data/group_lda_bow_topics.pkl', 'rb'))\n",
    "topic_vec = to_full_vec(group_topics[group], num_topics)\n",
    "dict_words = {}\n",
    "for i in range(num_topics):\n",
    "    for word in lda_topics[i].split(\":\")[1].split(\" \"):\n",
    "        if word in dict_words:\n",
    "            dict_words[word] += topic_vec[i]\n",
    "        else:\n",
    "            dict_words[word] = topic_vec[i]    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{u'': 0.97325274454110922, u'show': 0.052825619672037902, u'manchester': 0.028912698374661754, u'find': 0, u'police': 0.028912698374661754, u'paris': 0.19501957757451388, u'tweet': 0.019950008141260304, u'add': 0.019950008141260304, u'location': 0.019950008141260304, u'ross': 0, u'woman': 0.036602272693577145, u'food': 0, u'game': 0.016223346978460756, u'republican': 0.10265127976725605, u'day': 0, u'bank': 0.010632285644173128, u'school': 0.01186506240082477, u'always': 0.019950008141260304, u'democrat': 0.079278607012066349, u'saudi': 0.10785899826035818, u'team': 0.016223346978460756, u'kill': 0.017047635973836982, u'official': 0.019064260327680493, u'financial': 0.013419374581510941, u'house': 0.54189037329036038, u'twitter': 0.019950008141260304, u'election': 0.079278607012066349, u'gianforte': 0.079278607012066349, u'rep': 0, u'ice': 0, u'state': 0.3389904721363895, u'investigation': 0.41065870227481255, u'health': 0.023372672755189696, u'muslim': 0.017047635973836982, u'business': 0.013419374581510941, u'error': 0, u'free': 0, u'china': 0.010632285644173128, u'come': 0, u'change': 0.19501957757451388, u'care': 0.023372672755189696, u'climate': 0.19501957757451388, u'receive': 0, u'country': 0.30287857583487204, u'renew': 0.016223346978460756, u'comey': 0.41065870227481255, u'history': 0.019950008141260304, u'think': 0.036602272693577145, u'first': 0.14446127095393532, u'bloomberg': 0.013419374581510941, u'family': 0, u'washington': 0.10785899826035818, u'vote': 0.079278607012066349, u'market': 0.010632285644173128, u'city': 0.012259939922844224, u'visit': 0, u'attack': 0.028912698374661754, u'call': 0.012259939922844224, u'white': 0.41065870227481255, u'tell': 0.036602272693577145, u'life': 0.036602272693577145, u'fire': 0.41065870227481255, u'season': 0.016223346978460756, u'company': 0.024051660225684071, u'child': 0, u'russian': 0.41065870227481255, u'bill': 0.10265127976725605, u'budget': 0.19501957757451388, u'marriage': 0, u'learn': 0.019950008141260304, u'russia': 0.41065870227481255, u'delete': 0.019950008141260304, u'trump': 0.85520282634588141, u'tax': 0.023372672755189696, u'israel': 0.10785899826035818, u'player': 0.016223346978460756, u'arabia': 0.10785899826035818, u'work': 0.012259939922844224, u'information': 0.013419374581510941, u'court': 0.079278607012066349, u'glacier': 0, u'percent': 0.010632285644173128, u'unite': 0.19501957757451388, u'take': 0.012259939922844224, u'shelf': 0, u'status': 0.016223346978460756, u'may': 0.017047635973836982, u'director': 0.41065870227481255, u'student': 0.01186506240082477, u'data': 0.013419374581510941}\n"
     ]
    },
    {
     "data": {
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o3+jHBhpj0qVSiVOLi5xdSjKVy5Eql6kYdQzTxCNL+BSFtkCAnlCIbfE4ezo7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TFZzvLG5Fnemj7PUGGWkmPh03TaQgkeS/bxs92P0B1OYrC+erBu6knS1BKr2/GmJjO8+9Z5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\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96b7EZcE76efNHx/k1R/sY3rMe4MqpiRLfPmPP8XDX9hGXknWnEL0SmPwyhjjg1MLrnP/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\nAABAKaEJAABAKaEJAABAqe85qCHPkBucXgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1157c0e50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from wordcloud import WordCloud, STOPWORDS\n",
    "stopwords = set(STOPWORDS)\n",
    "stopwords.add(\"new\")\n",
    "stopwords.add(\"time\")\n",
    "stopwords.add(\"main\")\n",
    "stopwords.add(\"continue\")\n",
    "stopwords.add(\"please\")\n",
    "stopwords.add(\"president\")\n",
    "stopwords.add(\"advertisement\")\n",
    "stopwords.add(\"know\")\n",
    "stopwords.add(\"people\")\n",
    "stopwords.add(\"news\")\n",
    "\n",
    "for word in stopwords:\n",
    "    if word in dict_words:\n",
    "        dict_words.pop(word, None)\n",
    "print dict_words\n",
    "keys = dict_words.keys()\n",
    "for word in keys:\n",
    "    if dict_words[word] == 0.0:\n",
    "        dict_words.pop(word, None)\n",
    "\n",
    "wordcloud = WordCloud(width=800, height=400, background_color=\"white\")\n",
    "wordcloud.generate_from_frequencies(frequencies=dict_words)\n",
    "plt.figure()\n",
    "plt.imshow(wordcloud, interpolation=\"bilinear\")\n",
    "plt.axis(\"off\")\n",
    "plt.tight_layout(pad=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "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": 0
}