6.6 LSA.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 6.6 LSA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import re\n",
    "from nltk.corpus import stopwords\n",
    "from nltk.tokenize import word_tokenize\n",
    "from nltk.stem import PorterStemmer\n",
    "from gensim import corpora\n",
    "from gensim.models import LsiModel\n",
    "from gensim.models.coherencemodel import CoherenceModel\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.read_csv(\"news_articles.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\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>id</th>\n",
       "      <th>title</th>\n",
       "      <th>content</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>25626</td>\n",
       "      <td>One Weight-Loss Approach Fits All? No, Not Eve...</td>\n",
       "      <td>Dr. Frank Sacks, a professor of nutrition at H...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>19551</td>\n",
       "      <td>South Carolina Stuns Baylor to Reach the Round...</td>\n",
       "      <td>South Carolina’s win over   Duke was not only ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>25221</td>\n",
       "      <td>U.S. Presidential Race, Apple, Gene Wilder: Yo...</td>\n",
       "      <td>(Want to get this briefing by email? Here’s th...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>18026</td>\n",
       "      <td>His Predecessor Gone, Gambia’s New President F...</td>\n",
       "      <td>BANJUL, Gambia  —   A week after he was inaugu...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>21063</td>\n",
       "      <td>‘Harry Potter and the Cursed Child’ Goes From ...</td>\n",
       "      <td>The biggest book of the summer isn’t a blockbu...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      id                                              title  \\\n",
       "0  25626  One Weight-Loss Approach Fits All? No, Not Eve...   \n",
       "1  19551  South Carolina Stuns Baylor to Reach the Round...   \n",
       "2  25221  U.S. Presidential Race, Apple, Gene Wilder: Yo...   \n",
       "3  18026  His Predecessor Gone, Gambia’s New President F...   \n",
       "4  21063  ‘Harry Potter and the Cursed Child’ Goes From ...   \n",
       "\n",
       "                                             content  \n",
       "0  Dr. Frank Sacks, a professor of nutrition at H...  \n",
       "1  South Carolina’s win over   Duke was not only ...  \n",
       "2  (Want to get this briefing by email? Here’s th...  \n",
       "3  BANJUL, Gambia  —   A week after he was inaugu...  \n",
       "4  The biggest book of the summer isn’t a blockbu...  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 100 entries, 0 to 99\n",
      "Data columns (total 3 columns):\n",
      " #   Column   Non-Null Count  Dtype \n",
      "---  ------   --------------  ----- \n",
      " 0   id       100 non-null    int64 \n",
      " 1   title    100 non-null    object\n",
      " 2   content  100 non-null    object\n",
      "dtypes: int64(1), object(2)\n",
      "memory usage: 2.5+ KB\n"
     ]
    }
   ],
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Clean Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# take just the content of the article, lowercase and remove punctuation\n",
    "articles = data['content'].str.lower().apply(lambda x: re.sub(r\"([^\\w\\s])\", \"\", x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# stop word removal\n",
    "en_stopwords = stopwords.words('english')\n",
    "articles = articles.apply(lambda x: ' '.join([word for word in x.split() if word not in (en_stopwords)]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# tokenize\n",
    "articles = articles.apply(lambda x: word_tokenize(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# stemming (done for speed as we have a lot of text)\n",
    "ps = PorterStemmer()\n",
    "articles = articles.apply(lambda tokens: [ps.stem(token) for token in tokens])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0     [dr, frank, sack, professor, nutrit, harvard, ...\n",
       "1     [south, carolina, win, duke, surpris, fan, pos...\n",
       "2     [want, get, brief, email, here, good, even, he...\n",
       "3     [banjul, gambia, week, inaugur, anoth, countri...\n",
       "4     [biggest, book, summer, isnt, blockbust, thril...\n",
       "                            ...                        \n",
       "95    [want, get, brief, email, here, good, even, he...\n",
       "96    [tallinn, estonia, guard, brought, ahm, abdul,...\n",
       "97    [gov, scott, walker, wisconsin, activ, wiscons...\n",
       "98    [social, media, shook, emot, headlin, shout, n...\n",
       "99    [moment, joanna, acevedo, first, set, foot, bo...\n",
       "Name: content, Length: 100, dtype: object"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "articles"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Vectorization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dictionary<8693 unique tokens: ['10', '100', '108', '15', '155']...>\n"
     ]
    }
   ],
   "source": [
    "# create dictionary of all words\n",
    "dictionary = corpora.Dictionary(articles)\n",
    "print(dictionary)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# vecotize using bag of words into a document term matrix\n",
    "doc_term = [dictionary.doc2bow(text) for text in articles]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
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1), (6058, 1), (6099, 1), (6147, 7), (6219, 2), (6229, 1), (6330, 2), (6471, 1), (6532, 1), (6702, 2), (7235, 1), (7368, 1), (7460, 1), (7503, 1), (8063, 1), (8495, 1), (8533, 1), (8669, 22), (8670, 1), (8671, 1), (8672, 1), (8673, 1), (8674, 1), (8675, 1), (8676, 3), (8677, 1), (8678, 1), (8679, 1), (8680, 1), (8681, 1), (8682, 2), (8683, 2), (8684, 1), (8685, 1), (8686, 1), (8687, 1), (8688, 1), (8689, 1), (8690, 1), (8691, 1), (8692, 1)]]\n"
     ]
    }
   ],
   "source": [
    "print(doc_term)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### LSA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# specify number of topics\n",
    "num_topics = 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(0, '0.615*\"mr\" + 0.429*\"said\" + 0.187*\"trump\" + 0.130*\"state\" + 0.119*\"would\"'), (1, '-0.537*\"mr\" + -0.319*\"trump\" + 0.286*\"said\" + 0.242*\"saudi\" + 0.142*\"weight\"')]\n"
     ]
    }
   ],
   "source": [
    "# create LSA model\n",
    "lsamodel = LsiModel(doc_term, num_topics=num_topics, id2word = dictionary) \n",
    "print(lsamodel.print_topics(num_topics=num_topics, num_words=5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Determine Number of Topics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# generate coherence scores to determine an optimum number of topics\n",
    "coherence_values = []\n",
    "model_list = []\n",
    "\n",
    "min_topics = 2\n",
    "max_topics = 11\n",
    "\n",
    "for num_topics_i in range(min_topics, max_topics+1):\n",
    "    model = LsiModel(doc_term, num_topics=num_topics_i, id2word = dictionary, random_seed=0)\n",
    "    model_list.append(model)\n",
    "    coherence_model = CoherenceModel(model=model, texts=articles, dictionary=dictionary, coherence='c_v')\n",
    "    coherence_values.append(coherence_model.get_coherence())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(min_topics, max_topics+1), coherence_values)\n",
    "plt.xlabel(\"Number of Topics\")\n",
    "plt.ylabel(\"Coherence score\")\n",
    "plt.legend((\"coherence_values\"), loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(0, '0.615*\"mr\" + 0.429*\"said\" + 0.187*\"trump\" + 0.130*\"state\" + 0.119*\"would\"'), (1, '-0.537*\"mr\" + -0.319*\"trump\" + 0.286*\"said\" + 0.242*\"saudi\" + 0.142*\"weight\"'), (2, '-0.460*\"saudi\" + -0.264*\"taliban\" + 0.249*\"weight\" + -0.194*\"afghanistan\" + 0.191*\"dr\"')]\n"
     ]
    }
   ],
   "source": [
    "final_n_topics = 3\n",
    "lsamodel_f = LsiModel(doc_term, num_topics=final_n_topics, id2word = dictionary) \n",
    "print(lsamodel_f.print_topics(num_topics=final_n_topics, num_words=5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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