{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import re\n",
    "from itertools import combinations\n",
    "import warnings\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "from google.cloud import storage\n",
    "from io import BytesIO\n",
    "\n",
    "from gensim.models.word2vec import Word2Vec\n",
    "from gensim.models.phrases import Phrases, Phraser\n",
    "from gensim.parsing.preprocessing import stem\n",
    "\n",
    "from sklearn.base import TransformerMixin, BaseEstimator, clone\n",
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.decomposition import NMF\n",
    "from sklearn.preprocessing import FunctionTransformer, scale\n",
    "from sklearn.feature_extraction.text import TfidfTransformer, CountVectorizer, strip_tags\n",
    "from sklearn.feature_extraction.stop_words import ENGLISH_STOP_WORDS\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.ticker as ticker"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "pd.set_option('max_colwidth', 100)\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note per [Gensim documentation](https://radimrehurek.com/gensim/models/word2vec.html): In Python 3, reproducibility between interpreter launches also requires use of the PYTHONHASHSEED environment variable to control hash randomization; you can set this when launching the notebook: `PYTHONHASHSEED=0 jupyter lab`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load \"Fake News\" dataset\n",
    "\n",
    "Source: [https://www.kaggle.com/mrisdal/fake-news/data](https://www.kaggle.com/mrisdal/fake-news/data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>uuid</th>\n",
       "      <th>ord_in_thread</th>\n",
       "      <th>author</th>\n",
       "      <th>published</th>\n",
       "      <th>title</th>\n",
       "      <th>text</th>\n",
       "      <th>language</th>\n",
       "      <th>crawled</th>\n",
       "      <th>site_url</th>\n",
       "      <th>country</th>\n",
       "      <th>domain_rank</th>\n",
       "      <th>thread_title</th>\n",
       "      <th>spam_score</th>\n",
       "      <th>main_img_url</th>\n",
       "      <th>replies_count</th>\n",
       "      <th>participants_count</th>\n",
       "      <th>likes</th>\n",
       "      <th>comments</th>\n",
       "      <th>shares</th>\n",
       "      <th>type</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
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       "      <td>Muslims BUSTED: They Stole Millions In Gov’t Benefits</td>\n",
       "      <td>Print They should pay all the back all the money plus interest. The entire family and everyone w...</td>\n",
       "      <td>english</td>\n",
       "      <td>2016-10-27T01:49:27.168+03:00</td>\n",
       "      <td>100percentfedup.com</td>\n",
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       "      <td>25689.0</td>\n",
       "      <td>Muslims BUSTED: They Stole Millions In Gov’t Benefits</td>\n",
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       "      <td>2bdc29d12605ef9cf3f09f9875040a7113be5d5b</td>\n",
       "      <td>0</td>\n",
       "      <td>reasoning with facts</td>\n",
       "      <td>2016-10-29T08:47:11.259+03:00</td>\n",
       "      <td>Re: Why Did Attorney General Loretta Lynch Plead The Fifth?</td>\n",
       "      <td>Why Did Attorney General Loretta Lynch Plead The Fifth? Barracuda Brigade 2016-10-28 Print The a...</td>\n",
       "      <td>english</td>\n",
       "      <td>2016-10-29T08:47:11.259+03:00</td>\n",
       "      <td>100percentfedup.com</td>\n",
       "      <td>US</td>\n",
       "      <td>25689.0</td>\n",
       "      <td>Re: Why Did Attorney General Loretta Lynch Plead The Fifth?</td>\n",
       "      <td>0.000</td>\n",
       "      <td>http://bb4sp.com/wp-content/uploads/2016/10/Fullscreen-capture-10282016-102616-PM.bmp.jpg</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>bias</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>c70e149fdd53de5e61c29281100b9de0ed268bc3</td>\n",
       "      <td>0</td>\n",
       "      <td>Barracuda Brigade</td>\n",
       "      <td>2016-10-31T01:41:49.479+02:00</td>\n",
       "      <td>BREAKING: Weiner Cooperating With FBI On Hillary Email Investigation</td>\n",
       "      <td>Red State : \\nFox News Sunday reported this morning that Anthony Weiner is cooperating with the ...</td>\n",
       "      <td>english</td>\n",
       "      <td>2016-10-31T01:41:49.479+02:00</td>\n",
       "      <td>100percentfedup.com</td>\n",
       "      <td>US</td>\n",
       "      <td>25689.0</td>\n",
       "      <td>BREAKING: Weiner Cooperating With FBI On Hillary Email Investigation</td>\n",
       "      <td>0.000</td>\n",
       "      <td>http://bb4sp.com/wp-content/uploads/2016/10/Fullscreen-capture-10302016-60437-PM.bmp.jpg</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>bias</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>7cf7c15731ac2a116dd7f629bd57ea468ed70284</td>\n",
       "      <td>0</td>\n",
       "      <td>Fed Up</td>\n",
       "      <td>2016-11-01T05:22:00.000+02:00</td>\n",
       "      <td>PIN DROP SPEECH BY FATHER OF DAUGHTER Kidnapped And Killed By ISIS: \"I have voted for Donald J. ...</td>\n",
       "      <td>Email Kayla Mueller was a prisoner and tortured by ISIS while no chance of release…a horrific st...</td>\n",
       "      <td>english</td>\n",
       "      <td>2016-11-01T15:46:26.304+02:00</td>\n",
       "      <td>100percentfedup.com</td>\n",
       "      <td>US</td>\n",
       "      <td>25689.0</td>\n",
       "      <td>PIN DROP SPEECH BY FATHER OF DAUGHTER Kidnapped And Killed By ISIS: \"I have voted for Donald J. ...</td>\n",
       "      <td>0.068</td>\n",
       "      <td>http://100percentfedup.com/wp-content/uploads/2016/10/kayla.jpg</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>bias</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0206b54719c7e241ffe0ad4315b808290dbe6c0f</td>\n",
       "      <td>0</td>\n",
       "      <td>Fed Up</td>\n",
       "      <td>2016-11-01T21:56:00.000+02:00</td>\n",
       "      <td>FANTASTIC! TRUMP'S 7 POINT PLAN To Reform Healthcare Begins With A Bombshell! » 100percentfedUp.com</td>\n",
       "      <td>Email HEALTHCARE REFORM TO MAKE AMERICA GREAT AGAIN \\nSince March of 2010, the American people h...</td>\n",
       "      <td>english</td>\n",
       "      <td>2016-11-01T23:59:42.266+02:00</td>\n",
       "      <td>100percentfedup.com</td>\n",
       "      <td>US</td>\n",
       "      <td>25689.0</td>\n",
       "      <td>FANTASTIC! TRUMP'S 7 POINT PLAN To Reform Healthcare Begins With A Bombshell! » 100percentfedUp.com</td>\n",
       "      <td>0.865</td>\n",
       "      <td>http://100percentfedup.com/wp-content/uploads/2016/11/obamacare-sites-404-970x0.jpg</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>bias</td>\n",
       "    </tr>\n",
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       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                       uuid  ord_in_thread  \\\n",
       "0  6a175f46bcd24d39b3e962ad0f29936721db70db              0   \n",
       "1  2bdc29d12605ef9cf3f09f9875040a7113be5d5b              0   \n",
       "2  c70e149fdd53de5e61c29281100b9de0ed268bc3              0   \n",
       "3  7cf7c15731ac2a116dd7f629bd57ea468ed70284              0   \n",
       "4  0206b54719c7e241ffe0ad4315b808290dbe6c0f              0   \n",
       "\n",
       "                 author                      published  \\\n",
       "0     Barracuda Brigade  2016-10-26T21:41:00.000+03:00   \n",
       "1  reasoning with facts  2016-10-29T08:47:11.259+03:00   \n",
       "2     Barracuda Brigade  2016-10-31T01:41:49.479+02:00   \n",
       "3                Fed Up  2016-11-01T05:22:00.000+02:00   \n",
       "4                Fed Up  2016-11-01T21:56:00.000+02:00   \n",
       "\n",
       "                                                                                                 title  \\\n",
       "0                                                Muslims BUSTED: They Stole Millions In Gov’t Benefits   \n",
       "1                                          Re: Why Did Attorney General Loretta Lynch Plead The Fifth?   \n",
       "2                                 BREAKING: Weiner Cooperating With FBI On Hillary Email Investigation   \n",
       "3  PIN DROP SPEECH BY FATHER OF DAUGHTER Kidnapped And Killed By ISIS: \"I have voted for Donald J. ...   \n",
       "4  FANTASTIC! TRUMP'S 7 POINT PLAN To Reform Healthcare Begins With A Bombshell! » 100percentfedUp.com   \n",
       "\n",
       "                                                                                                  text  \\\n",
       "0  Print They should pay all the back all the money plus interest. The entire family and everyone w...   \n",
       "1  Why Did Attorney General Loretta Lynch Plead The Fifth? Barracuda Brigade 2016-10-28 Print The a...   \n",
       "2  Red State : \\nFox News Sunday reported this morning that Anthony Weiner is cooperating with the ...   \n",
       "3  Email Kayla Mueller was a prisoner and tortured by ISIS while no chance of release…a horrific st...   \n",
       "4  Email HEALTHCARE REFORM TO MAKE AMERICA GREAT AGAIN \\nSince March of 2010, the American people h...   \n",
       "\n",
       "  language                        crawled             site_url country  \\\n",
       "0  english  2016-10-27T01:49:27.168+03:00  100percentfedup.com      US   \n",
       "1  english  2016-10-29T08:47:11.259+03:00  100percentfedup.com      US   \n",
       "2  english  2016-10-31T01:41:49.479+02:00  100percentfedup.com      US   \n",
       "3  english  2016-11-01T15:46:26.304+02:00  100percentfedup.com      US   \n",
       "4  english  2016-11-01T23:59:42.266+02:00  100percentfedup.com      US   \n",
       "\n",
       "   domain_rank  \\\n",
       "0      25689.0   \n",
       "1      25689.0   \n",
       "2      25689.0   \n",
       "3      25689.0   \n",
       "4      25689.0   \n",
       "\n",
       "                                                                                          thread_title  \\\n",
       "0                                                Muslims BUSTED: They Stole Millions In Gov’t Benefits   \n",
       "1                                          Re: Why Did Attorney General Loretta Lynch Plead The Fifth?   \n",
       "2                                 BREAKING: Weiner Cooperating With FBI On Hillary Email Investigation   \n",
       "3  PIN DROP SPEECH BY FATHER OF DAUGHTER Kidnapped And Killed By ISIS: \"I have voted for Donald J. ...   \n",
       "4  FANTASTIC! TRUMP'S 7 POINT PLAN To Reform Healthcare Begins With A Bombshell! » 100percentfedUp.com   \n",
       "\n",
       "   spam_score  \\\n",
       "0       0.000   \n",
       "1       0.000   \n",
       "2       0.000   \n",
       "3       0.068   \n",
       "4       0.865   \n",
       "\n",
       "                                                                                main_img_url  \\\n",
       "0   http://bb4sp.com/wp-content/uploads/2016/10/Fullscreen-capture-10262016-83501-AM.bmp.jpg   \n",
       "1  http://bb4sp.com/wp-content/uploads/2016/10/Fullscreen-capture-10282016-102616-PM.bmp.jpg   \n",
       "2   http://bb4sp.com/wp-content/uploads/2016/10/Fullscreen-capture-10302016-60437-PM.bmp.jpg   \n",
       "3                            http://100percentfedup.com/wp-content/uploads/2016/10/kayla.jpg   \n",
       "4        http://100percentfedup.com/wp-content/uploads/2016/11/obamacare-sites-404-970x0.jpg   \n",
       "\n",
       "   replies_count  participants_count  likes  comments  shares  type  \n",
       "0              0                   1      0         0       0  bias  \n",
       "1              0                   1      0         0       0  bias  \n",
       "2              0                   1      0         0       0  bias  \n",
       "3              0                   0      0         0       0  bias  \n",
       "4              0                   0      0         0       0  bias  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# load data\n",
    "client = storage.Client.create_anonymous_client()\n",
    "bucket = client.bucket('djr-data')\n",
    "\n",
    "blob = bucket.blob('fake-news/fake.csv')\n",
    "buf = BytesIO()\n",
    "blob.download_to_file(buf)\n",
    "buf.seek(0)\n",
    "df = pd.read_csv(buf)\n",
    "df.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# a little cleanup\n",
    "df = df.loc[(df.language == 'english') & (df.country == 'US'), :]\n",
    "\n",
    "site_url_counts = df.site_url.value_counts()\n",
    "top_sites = site_url_counts.index[site_url_counts == 100]\n",
    "df = df.loc[df.site_url.isin(top_sites), :]\n",
    "\n",
    "df['text'] = df[['thread_title', 'text']].apply(lambda x: '. '.join(x[~pd.isnull(x)]), axis=1)\n",
    "df.drop_duplicates(subset=['text'], inplace=True)\n",
    "\n",
    "df = df.loc[df.ord_in_thread == 0, :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# in the interest of speed, train on a subset of articles stratified by source\n",
    "df_train, df_holdout = train_test_split(df, train_size=2000, stratify=df.site_url, random_state=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Make preprocessing pipelines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# return words from corpus; alternative token: r\"([\\w][\\w']*\\w)\n",
    "def tokenize(doc, token=r\"(?u)\\b\\w\\w+\\b\"):\n",
    "    doc = doc.lower()\n",
    "    doc = strip_tags(doc)\n",
    "    doc = re.compile(r\"https?:\\/\\/(www\\.)?([^\\s]*)\").sub(\"\", doc)\n",
    "    # doc = stem(doc)\n",
    "    words = re.compile(token).findall(doc)\n",
    "    words = [w for w in words if re.compile(r\"[a-zA-Z]\").findall(w)]\n",
    "    return words\n",
    "\n",
    "# remove stop words\n",
    "def remove_stop_words(x, stop_words=ENGLISH_STOP_WORDS):\n",
    "    return [i for i in x if i not in stop_words]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# wrapper for gensim Phraser\n",
    "COMMON_TERMS = [\"of\", \"with\", \"without\", \"and\", \"or\", \"the\", \"a\"]\n",
    "class PhraseTransformer(TransformerMixin, BaseEstimator):\n",
    "\n",
    "    def __init__(self, min_count, common_terms=COMMON_TERMS):\n",
    "        self.phraser = None\n",
    "        self.min_count = min_count\n",
    "        self.common_terms = common_terms\n",
    "\n",
    "    def fit(self, X, y=None):\n",
    "        phrases = Phrases(X, min_count=self.min_count, common_terms=self.common_terms)\n",
    "        self.phraser = Phraser(phrases)\n",
    "        return self\n",
    "\n",
    "    def transform(self, X):\n",
    "        return X.apply(lambda x: self.phraser[x])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# make pipeline\n",
    "MIN_DF = 10\n",
    "\n",
    "preprocessing = Pipeline(steps=[\n",
    "    ('tk', FunctionTransformer(func=lambda x: x.apply(tokenize), validate=False)),\n",
    "    ('ph', PhraseTransformer(min_count=MIN_DF)),\n",
    "    ('sw', FunctionTransformer(func=lambda x: x.apply(remove_stop_words), validate=False))\n",
    "])\n",
    "\n",
    "# NOTE: already tokenized so CountVectorizer effectively just converting to sparse matrix\n",
    "preprocessing2 = Pipeline(steps=[\n",
    "    ('pp', preprocessing),\n",
    "    ('cv', CountVectorizer(min_df=MIN_DF, max_df=0.4, tokenizer=lambda x: x, lowercase=False)),\n",
    "    ('tf', TfidfTransformer(use_idf=True)),\n",
    "])\n",
    "\n",
    "pipeline = Pipeline(steps=[\n",
    "    ('pp', preprocessing2),\n",
    "    ('tm', NMF(random_state=1, alpha=0, init='nndsvd', solver='mu', max_iter=1000))\n",
    "])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Build W2V model\n",
    "\n",
    "This will be used to calculate similarities between words"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2min 1s, sys: 56 ms, total: 2min 1s\n",
      "Wall time: 2min 1s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "sentences = preprocessing.fit_transform(df_train.text)\n",
    "w2v = Word2Vec(sentences, min_count=MIN_DF, size=100, iter=10, seed=1, sg=1, window=10, workers=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('putin', 0.7353851795196533),\n",
       " ('vladimir_putin', 0.7088087201118469),\n",
       " ('russian', 0.69211745262146),\n",
       " ('moscow', 0.6595130562782288),\n",
       " ('russian_president', 0.6588544249534607),\n",
       " ('against_russia', 0.6265290975570679),\n",
       " ('cyber_attacks', 0.6002523899078369),\n",
       " ('president_vladimir', 0.599993109703064),\n",
       " ('since_the_cold', 0.5986747145652771),\n",
       " ('russian_government', 0.5881158113479614)]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w2v.wv.most_similar(positive=['russia'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Build topic model\n",
    "\n",
    "NOTE: seeding number of topics at `(n*m)/t` where:\n",
    "* m = number of documents\n",
    "* n = number of terms\n",
    "* t = number of non-zero entries in our document-term matrix "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# guess for number of topics we should start with\n",
    "features = preprocessing2.fit_transform(df_train.text)\n",
    "num_topics_seed = round(np.product(features.shape) / len(features.indices) / 10) * 10\n",
    "num_topics_range = np.arange(10, num_topics_seed + 30, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# top words for each topic\n",
    "def top_keywords(weights, names, cutoff=0, top=10):\n",
    "    weights = np.where(weights >= cutoff, weights, 0)\n",
    "    names2, weights2 = names[np.nonzero(weights)], weights[np.nonzero(weights)]\n",
    "    return [(names2[i], weights2[i]) for i in weights2.argsort()[:-top-1:-1]]\n",
    "\n",
    "# build topic model with a specified number of topics\n",
    "def build_topic_model(n):\n",
    "    topic_model_i = clone(pipeline)\n",
    "    topic_model_i.set_params(**{'tm__n_components': int(n)})\n",
    "    \n",
    "    W = topic_model_i.fit_transform(df_train.text)\n",
    "    H = topic_model_i.named_steps['tm'].components_\n",
    "    feature_names = np.array(topic_model_i.named_steps['pp'].named_steps['cv'].get_feature_names())\n",
    "    topic_keywords = [top_keywords(h, feature_names) for h in H]\n",
    "  \n",
    "    return n, topic_model_i, W, topic_keywords"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 5min 37s, sys: 1min 57s, total: 7min 35s\n",
      "Wall time: 4min 48s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "# build models for different numbers of topics\n",
    "topic_models = [build_topic_model(i) for i in num_topics_range]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# calculate cohesiveness of a topic's keywords using word2vec model\n",
    "def get_topic_cohesiveness(words, w2v_model, weight=True):\n",
    "    pair_scores = []\n",
    "    pair_weights = []\n",
    "    if len(words) <= 1:\n",
    "        return 0\n",
    "    for p1, p2 in combinations(words, 2):\n",
    "        pair_scores.append(w2v_model.wv.similarity(p1[0], p2[0]))\n",
    "        if weight:\n",
    "            pair_weights.append(p1[1] * p2[1])\n",
    "        else:\n",
    "            pair_weights.append(1.0)\n",
    "    return np.sum(np.array(pair_scores) * np.array(pair_weights)) / np.sum(pair_weights)\n",
    "\n",
    "# calculate cohesiveness of all topics\n",
    "def get_cohesiveness(topic_keywords, w2v_model, topic_weights=None):\n",
    "    if topic_weights is not None:\n",
    "        topic_weights = np.ones(len(topic_keywords))   \n",
    "    topic_cohesiveness = [get_topic_cohesiveness(kw, w2v_model) for kw in topic_keywords]\n",
    "    return np.average(topic_cohesiveness, weights=topic_weights)\n",
    "\n",
    "# get jaccard similarity between two topics\n",
    "def get_jaccard(w1, w2):\n",
    "    intersection = len(set.intersection(*[set(w1), set(w2)]))\n",
    "    union = len(set.union(*[set(w1), set(w2)]))\n",
    "    return intersection / float(union)    \n",
    "\n",
    "# calculate model generality\n",
    "get_first = lambda x: [i[0] for i in x]\n",
    "\n",
    "def get_generality(topic_keywords, topic_weights=None):\n",
    "    if topic_weights is not None:\n",
    "        topic_weights = np.ones(len(topic_keywords))   \n",
    "    pair_scores = []\n",
    "    pair_weights = []\n",
    "    for w1, w2 in combinations(zip(topic_keywords, topic_weights), 2):     \n",
    "        pair_scores.append(get_jaccard(get_first(w1[0]), get_first(w2[0])))\n",
    "        pair_weights.append(w1[1] * w2[1])\n",
    "    return np.sum(np.array(pair_scores) * np.array(pair_weights)) / np.sum(pair_weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# calculate cohesiveness and generality\n",
    "topic_weight = lambda W: np.apply_along_axis(np.sum, 0, W) / np.sum(W)\n",
    "\n",
    "all_cohesiveness = [get_cohesiveness(t[-1], w2v, topic_weight(t[-2])) for t in topic_models]\n",
    "all_generality = [get_generality(t[-1], topic_weight(t[-2])) for t in topic_models]\n",
    "all_score = 0.7*scale(all_cohesiveness) - 0.3*scale(all_generality)\n",
    "\n",
    "best_model_idx = np.argmax(all_score)\n",
    "num_topic, topic_model, topic_matrix, topic_keywords = topic_models[best_model_idx]  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot cohesiveness and generality\n",
    "width = 0.5\n",
    "index = np.arange(len(num_topics_range))\n",
    "padding = 0.03\n",
    "\n",
    "def make_plot(data, title, ylim=(0, 1)):\n",
    "    plt.title('Topic {} vs. Number of Topics'.format(title))\n",
    "    plt.bar(index, data, width, color='red')\n",
    "    plt.bar(best_model_idx, data[best_model_idx], width, color='blue')\n",
    "    plt.ylim(ylim)\n",
    "    for x, y in zip(index, data):\n",
    "        plt.text(x - width/2, y + plt.gca().get_ylim()[1] * padding, \"{:0.3f}\".format(y))\n",
    "    plt.xlabel('Number of Topics')\n",
    "    plt.ylabel('Topic {}'.format(title))\n",
    "    plt.xticks(index, num_topics_range)\n",
    "\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.subplot(1, 2, 1)\n",
    "make_plot(all_cohesiveness, 'Cohesiveness', (0, 0.6))\n",
    "plt.subplot(1, 2, 2)\n",
    "make_plot(all_generality, 'Generality', (0, 0.02))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimal number of topics: 40.0\n"
     ]
    }
   ],
   "source": [
    "print(\"Optimal number of topics: {}\".format(num_topic))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Assign topics to articles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>topic</th>\n",
       "      <th>title</th>\n",
       "      <th>tags</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>Self-Help and the War on Common Sense</td>\n",
       "      <td>[world, make, way, if_you, new]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>Shocking Development: FBI Re-Opens Probe Into Hillary Clinton Emails: “Perhaps Finally Justice W...</td>\n",
       "      <td>[fbi, comey, investigation, clinton, emails]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>Trump Busted For Flat Out Financially Scamming His Donors, Campaign Goes Into Last Minute Freefall</td>\n",
       "      <td>[trump, donald_trump, campaign, rally, media]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>Clinton’s Policy On Syria Will Lead To WW3 Says Trump</td>\n",
       "      <td>[syria, russia, war, assad, no_fly]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>The “Dark Side” of the Mandelbrot Set [VIDEO]</td>\n",
       "      <td>[galacticconnection_com, click_here, psychic_protection, your_name, excerpts_may]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>Hillary Clinton is an alcoholic</td>\n",
       "      <td>[hillary, clinton, hillary_clinton, campaign, clintons]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>6</td>\n",
       "      <td>Iraqi Troops in Mosul Could be Trump's First Crisis</td>\n",
       "      <td>[mosul, isis, iraqi, forces, city]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7</td>\n",
       "      <td>Election 2016 Current Votes in 8 Battleground States</td>\n",
       "      <td>[percent, clinton, poll, voters, data]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>8</td>\n",
       "      <td>“I’m a Hispanic woman and I am voting for Donald Trump”</td>\n",
       "      <td>[subscribe, email, email_address, blog, posts]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>9</td>\n",
       "      <td>Imam Mahdi And World War 3</td>\n",
       "      <td>[facebook_comments, world_war, conversation, add, source]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>10</td>\n",
       "      <td>More Reports Of Votes Flipping From Trump To Clinton In Texas ….election Officials Dismiss Conce...</td>\n",
       "      <td>[vote, texas, voting, voters, votes]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>11</td>\n",
       "      <td>Crossing the Acheron: Back to Vietnam</td>\n",
       "      <td>[war, america, government, american, military]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>12</td>\n",
       "      <td>BOMBSHELL AUDIO: Hillary Clinton Herself Recorded Calling for Rigging Election</td>\n",
       "      <td>[election, comey, hillary, win, political]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>13</td>\n",
       "      <td>5 Things You Need to Know About the Blacked Out Dakota Access Pipeline Protests</td>\n",
       "      <td>[pipeline, standing_rock, north_dakota, dakota_access, dapl]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>14</td>\n",
       "      <td>Yes there Really are White Debils!</td>\n",
       "      <td>[godlike, godlikeproductions, trademarks, glp, productions]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>15</td>\n",
       "      <td>Why China and the U.S. Are Opposed to Each Other</td>\n",
       "      <td>[china, chinese, south_china, sea, beijing]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>16</td>\n",
       "      <td>If Cannabis Can Kill “Incurable” Brain Cancer, Why Is It Criminalized? (VIDEO)</td>\n",
       "      <td>[cancer, brain, health, cells, cannabis]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>17</td>\n",
       "      <td>Obama Loses It: Goes Off On Audience     : Information Clearing House - ICH</td>\n",
       "      <td>[israel, israeli, gaza, jewish, palestine]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>18</td>\n",
       "      <td>Obama Lied -Wikileaks: Panic Over Clinton Emails To Pres Obama</td>\n",
       "      <td>[obama, president, white_house, president_obama, lied]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>19</td>\n",
       "      <td>FBI Found \"Tens Of Thousands Of Emails\" Belonging To Huma Abedin On Weiner's Laptop</td>\n",
       "      <td>[emails, abedin, huma_abedin, state_department, email]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>20</td>\n",
       "      <td>New organic and water-rich fertilizer will help farmers in drought areas</td>\n",
       "      <td>[food, water, organic, foods, milk]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>21</td>\n",
       "      <td>The Arcturian Group by Marilyn Raffaele October 23, 2016 [VIDEO]</td>\n",
       "      <td>[video, project_veritas, videos, watch, hillary_clinton]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>22</td>\n",
       "      <td>Get Ready For Civil Unrest: Survey Finds That Most Americans Are Concerned About Election Violence</td>\n",
       "      <td>[violence, hillary_clinton, star, donald_trump, musket]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>23</td>\n",
       "      <td>Democrats are Racist for Calling Black Trump Supporters Uneducated Red Necks</td>\n",
       "      <td>[black, white, whites, blacks, students]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>24</td>\n",
       "      <td>WikiLeaks Director Gavin MacFadyen Has Passed Away</td>\n",
       "      <td>[wikileaks, podesta, assange, clinton_campaign, john_podesta]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>25</td>\n",
       "      <td>Putin Ready to Restore Relations With US</td>\n",
       "      <td>[russia, putin, russian, vladimir_putin, moscow]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>26</td>\n",
       "      <td>Election 2016 and the Growing Global Nuclear Threat</td>\n",
       "      <td>[nuclear, nuclear_weapons, weapons, nuclear_war, treaty]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>27</td>\n",
       "      <td>BREAKING: Oregon Standoff Leaders Acquitted For Malheur Wildlife Refuge Takeover</td>\n",
       "      <td>[bundy, jury, oregon, verdict, federal]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>28</td>\n",
       "      <td>45 Weird Bans on Women in Iran</td>\n",
       "      <td>[women, men, woman, october, female]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>29</td>\n",
       "      <td>Everyone Is Abandoning Hillary- Except for George Soros</td>\n",
       "      <td>[dave_hodges, food_storage, absolute_best, satisfied_customer, show_please]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>30</td>\n",
       "      <td>Breaking News: The Elohim Confirm the Arrival of the Proton Stream From the Central Sun via the ...</td>\n",
       "      <td>[earth, energy, planet, sun, nasa]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>31</td>\n",
       "      <td>College warns against ‘deplorable and problematic’ costumes</td>\n",
       "      <td>[halloween, costumes, costume, students, guide]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>32</td>\n",
       "      <td>Humiliated Hillary is SWARMED by Trump Supporters at a Florida Early Voting Location – TruthFeed</td>\n",
       "      <td>[us_fight, moreno, nerd_you, published_author, pug_lover]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>33</td>\n",
       "      <td>Blue Privilege in Action: Video Shows Cop Crashing into Cars &amp; Fleeing Police — No Arrest, No Ch...</td>\n",
       "      <td>[police, cop, officer, officers, cops]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>34</td>\n",
       "      <td>BBC’s Children Show ‘Just a Girl’ is About a Transgender Child Taking Hormone Blocking Drugs</td>\n",
       "      <td>[children, child, parents, refugee, illuminati]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>35</td>\n",
       "      <td>Wow! Grandmother Exposes Massive Nationwide Election Fraud</td>\n",
       "      <td>[daily_sheeple, news_and_videos, analyses_breaking, share_and_republish, our_reports]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>36</td>\n",
       "      <td>Russian experts collecting evidence of anti-govt chemical attack in Aleppo – Defense Ministry</td>\n",
       "      <td>[aleppo, civilians, syrian, russian, rebels]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>37</td>\n",
       "      <td>NATO, US, &amp; UK To Assemble Largest Troop Buildup On Russian Border Since Cold War</td>\n",
       "      <td>[nato, troops, russian, military, border]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>38</td>\n",
       "      <td>Re: DEVELOPING: Mike Pence’s plane skids off ‘wet’ runway at LaGuardia Airport in NYC</td>\n",
       "      <td>[plane, mike_pence, pence, landing, airport]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>39</td>\n",
       "      <td>WikiLeaks Report: Obama Admin Discriminated Against Christians for Top Jobs In Favor of Muslims</td>\n",
       "      <td>[muslim, muslims, christians, islamic, islam]</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    topic  \\\n",
       "0       0   \n",
       "1       1   \n",
       "2       2   \n",
       "3       3   \n",
       "4       4   \n",
       "5       5   \n",
       "6       6   \n",
       "7       7   \n",
       "8       8   \n",
       "9       9   \n",
       "10     10   \n",
       "11     11   \n",
       "12     12   \n",
       "13     13   \n",
       "14     14   \n",
       "15     15   \n",
       "16     16   \n",
       "17     17   \n",
       "18     18   \n",
       "19     19   \n",
       "20     20   \n",
       "21     21   \n",
       "22     22   \n",
       "23     23   \n",
       "24     24   \n",
       "25     25   \n",
       "26     26   \n",
       "27     27   \n",
       "28     28   \n",
       "29     29   \n",
       "30     30   \n",
       "31     31   \n",
       "32     32   \n",
       "33     33   \n",
       "34     34   \n",
       "35     35   \n",
       "36     36   \n",
       "37     37   \n",
       "38     38   \n",
       "39     39   \n",
       "\n",
       "                                                                                                  title  \\\n",
       "0                                                                 Self-Help and the War on Common Sense   \n",
       "1   Shocking Development: FBI Re-Opens Probe Into Hillary Clinton Emails: “Perhaps Finally Justice W...   \n",
       "2    Trump Busted For Flat Out Financially Scamming His Donors, Campaign Goes Into Last Minute Freefall   \n",
       "3                                                 Clinton’s Policy On Syria Will Lead To WW3 Says Trump   \n",
       "4                                                         The “Dark Side” of the Mandelbrot Set [VIDEO]   \n",
       "5                                                                       Hillary Clinton is an alcoholic   \n",
       "6                                                   Iraqi Troops in Mosul Could be Trump's First Crisis   \n",
       "7                                                  Election 2016 Current Votes in 8 Battleground States   \n",
       "8                                               “I’m a Hispanic woman and I am voting for Donald Trump”   \n",
       "9                                                                            Imam Mahdi And World War 3   \n",
       "10  More Reports Of Votes Flipping From Trump To Clinton In Texas ….election Officials Dismiss Conce...   \n",
       "11                                                                Crossing the Acheron: Back to Vietnam   \n",
       "12                       BOMBSHELL AUDIO: Hillary Clinton Herself Recorded Calling for Rigging Election   \n",
       "13                      5 Things You Need to Know About the Blacked Out Dakota Access Pipeline Protests   \n",
       "14                                                                   Yes there Really are White Debils!   \n",
       "15                                                     Why China and the U.S. Are Opposed to Each Other   \n",
       "16                       If Cannabis Can Kill “Incurable” Brain Cancer, Why Is It Criminalized? (VIDEO)   \n",
       "17                          Obama Loses It: Goes Off On Audience     : Information Clearing House - ICH   \n",
       "18                                       Obama Lied -Wikileaks: Panic Over Clinton Emails To Pres Obama   \n",
       "19                  FBI Found \"Tens Of Thousands Of Emails\" Belonging To Huma Abedin On Weiner's Laptop   \n",
       "20                             New organic and water-rich fertilizer will help farmers in drought areas   \n",
       "21                                     The Arcturian Group by Marilyn Raffaele October 23, 2016 [VIDEO]   \n",
       "22   Get Ready For Civil Unrest: Survey Finds That Most Americans Are Concerned About Election Violence   \n",
       "23                         Democrats are Racist for Calling Black Trump Supporters Uneducated Red Necks   \n",
       "24                                                   WikiLeaks Director Gavin MacFadyen Has Passed Away   \n",
       "25                                                             Putin Ready to Restore Relations With US   \n",
       "26                                                  Election 2016 and the Growing Global Nuclear Threat   \n",
       "27                     BREAKING: Oregon Standoff Leaders Acquitted For Malheur Wildlife Refuge Takeover   \n",
       "28                                                                       45 Weird Bans on Women in Iran   \n",
       "29                                              Everyone Is Abandoning Hillary- Except for George Soros   \n",
       "30  Breaking News: The Elohim Confirm the Arrival of the Proton Stream From the Central Sun via the ...   \n",
       "31                                          College warns against ‘deplorable and problematic’ costumes   \n",
       "32     Humiliated Hillary is SWARMED by Trump Supporters at a Florida Early Voting Location – TruthFeed   \n",
       "33  Blue Privilege in Action: Video Shows Cop Crashing into Cars & Fleeing Police — No Arrest, No Ch...   \n",
       "34         BBC’s Children Show ‘Just a Girl’ is About a Transgender Child Taking Hormone Blocking Drugs   \n",
       "35                                           Wow! Grandmother Exposes Massive Nationwide Election Fraud   \n",
       "36        Russian experts collecting evidence of anti-govt chemical attack in Aleppo – Defense Ministry   \n",
       "37                    NATO, US, & UK To Assemble Largest Troop Buildup On Russian Border Since Cold War   \n",
       "38                Re: DEVELOPING: Mike Pence’s plane skids off ‘wet’ runway at LaGuardia Airport in NYC   \n",
       "39      WikiLeaks Report: Obama Admin Discriminated Against Christians for Top Jobs In Favor of Muslims   \n",
       "\n",
       "                                                                                     tags  \n",
       "0                                                         [world, make, way, if_you, new]  \n",
       "1                                            [fbi, comey, investigation, clinton, emails]  \n",
       "2                                           [trump, donald_trump, campaign, rally, media]  \n",
       "3                                                     [syria, russia, war, assad, no_fly]  \n",
       "4       [galacticconnection_com, click_here, psychic_protection, your_name, excerpts_may]  \n",
       "5                                 [hillary, clinton, hillary_clinton, campaign, clintons]  \n",
       "6                                                      [mosul, isis, iraqi, forces, city]  \n",
       "7                                                  [percent, clinton, poll, voters, data]  \n",
       "8                                          [subscribe, email, email_address, blog, posts]  \n",
       "9                               [facebook_comments, world_war, conversation, add, source]  \n",
       "10                                                   [vote, texas, voting, voters, votes]  \n",
       "11                                         [war, america, government, american, military]  \n",
       "12                                             [election, comey, hillary, win, political]  \n",
       "13                           [pipeline, standing_rock, north_dakota, dakota_access, dapl]  \n",
       "14                            [godlike, godlikeproductions, trademarks, glp, productions]  \n",
       "15                                            [china, chinese, south_china, sea, beijing]  \n",
       "16                                               [cancer, brain, health, cells, cannabis]  \n",
       "17                                             [israel, israeli, gaza, jewish, palestine]  \n",
       "18                                 [obama, president, white_house, president_obama, lied]  \n",
       "19                                 [emails, abedin, huma_abedin, state_department, email]  \n",
       "20                                                    [food, water, organic, foods, milk]  \n",
       "21                               [video, project_veritas, videos, watch, hillary_clinton]  \n",
       "22                                [violence, hillary_clinton, star, donald_trump, musket]  \n",
       "23                                               [black, white, whites, blacks, students]  \n",
       "24                          [wikileaks, podesta, assange, clinton_campaign, john_podesta]  \n",
       "25                                       [russia, putin, russian, vladimir_putin, moscow]  \n",
       "26                               [nuclear, nuclear_weapons, weapons, nuclear_war, treaty]  \n",
       "27                                                [bundy, jury, oregon, verdict, federal]  \n",
       "28                                                   [women, men, woman, october, female]  \n",
       "29            [dave_hodges, food_storage, absolute_best, satisfied_customer, show_please]  \n",
       "30                                                     [earth, energy, planet, sun, nasa]  \n",
       "31                                        [halloween, costumes, costume, students, guide]  \n",
       "32                              [us_fight, moreno, nerd_you, published_author, pug_lover]  \n",
       "33                                                 [police, cop, officer, officers, cops]  \n",
       "34                                        [children, child, parents, refugee, illuminati]  \n",
       "35  [daily_sheeple, news_and_videos, analyses_breaking, share_and_republish, our_reports]  \n",
       "36                                           [aleppo, civilians, syrian, russian, rebels]  \n",
       "37                                              [nato, troops, russian, military, border]  \n",
       "38                                           [plane, mike_pence, pence, landing, airport]  \n",
       "39                                          [muslim, muslims, christians, islamic, islam]  "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# top examples for each topic\n",
    "topic_keywords2 = [[j[0] for j in i[0:5]] for i in topic_keywords]\n",
    "\n",
    "topic_matrix_df = pd.DataFrame(topic_matrix)\n",
    "df_train['topic'], df_train['topic_weight'] = zip(*topic_matrix_df.apply(lambda x: (np.argmax(x), np.max(x)), axis=1))\n",
    "\n",
    "top_examples = df_train.sort_values(by=['topic', 'topic_weight'], ascending=False)\n",
    "top_examples = top_examples.groupby(['topic'], as_index=False).first().loc[:, ['topic', 'title']]\n",
    "top_examples['tags'] = topic_keywords2\n",
    "top_examples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# assign each article to one or more topics\n",
    "topic_assignment_cutoff = np.percentile(np.apply_along_axis(np.max, 1, topic_matrix), 10)\n",
    "topic_assign = lambda x: np.where(x > topic_assignment_cutoff)[0].tolist()\n",
    "flatten = lambda x: [item for sublist in x for item in sublist]\n",
    "\n",
    "topic_matrix_assign = topic_matrix_df.apply(topic_assign, axis=1)\n",
    "topics = flatten(topic_matrix_assign)\n",
    "topic_counts = pd.Series(topics).value_counts() / len(topic_matrix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# topic tornado plot\n",
    "index = np.arange(len(topic_counts))[::-1]\n",
    "plt.figure(figsize=(10, 10))\n",
    "plt.title('Topic Frequency')\n",
    "plt.gca().xaxis.set_major_formatter(ticker.PercentFormatter(xmax=1))\n",
    "plt.barh(index, topic_counts, height=0.8)\n",
    "for y, x in zip(index, topic_counts):\n",
    "    plt.text(x + 0.001, y, \"{:0.1f}%\".format(x*100), verticalalignment='center')\n",
    "plt.yticks(index, [topic_keywords2[i] for i in topic_counts.index], verticalalignment='center')\n",
    "plt.xlabel('Percent of Articles')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}