Ch 7. 토픽모델링-개정판.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8dda7647",
   "metadata": {},
   "source": [
    "# Chapter 7. 토픽 모델링으로 주제 찾기\n",
    "\n",
    "## 1. 토픽 모델링의 이해\n",
    "\n",
    "1: https://mobile.newsis.com/view.html?ar_id=NISX20190918_0000772783#_enliple\n",
    "2: https://cyram.tistory.com/309"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8a4346bd",
   "metadata": {},
   "source": [
    "### 1.1 LDA(Latent Dirichlet Allocation)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe8c722f",
   "metadata": {},
   "source": [
    "### 1.2 모형의 평가와 적절한 토픽 수의 결정\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e8fc0c1",
   "metadata": {},
   "source": [
    "## 2. 사이킷런을 이용한 토픽 모델링\n",
    "\n",
    "### 2.1 데이터 준비\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0c9e5481",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[nltk_data] Downloading package punkt to\n",
      "[nltk_data]     C:\\Users\\user\\AppData\\Roaming\\nltk_data...\n",
      "[nltk_data]   Package punkt is already up-to-date!\n",
      "[nltk_data] Downloading package webtext to\n",
      "[nltk_data]     C:\\Users\\user\\AppData\\Roaming\\nltk_data...\n",
      "[nltk_data]   Package webtext is already up-to-date!\n",
      "[nltk_data] Downloading package wordnet to\n",
      "[nltk_data]     C:\\Users\\user\\AppData\\Roaming\\nltk_data...\n",
      "[nltk_data]   Package wordnet is already up-to-date!\n",
      "[nltk_data] Downloading package stopwords to\n",
      "[nltk_data]     C:\\Users\\user\\AppData\\Roaming\\nltk_data...\n",
      "[nltk_data]   Package stopwords is already up-to-date!\n",
      "[nltk_data] Downloading package averaged_perceptron_tagger to\n",
      "[nltk_data]     C:\\Users\\user\\AppData\\Roaming\\nltk_data...\n",
      "[nltk_data]   Package averaged_perceptron_tagger is already up-to-\n",
      "[nltk_data]       date!\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import nltk\n",
    "nltk.download('punkt')\n",
    "nltk.download('webtext')\n",
    "nltk.download('wordnet')\n",
    "nltk.download('stopwords')\n",
    "nltk.download('averaged_perceptron_tagger')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0bdc3f72",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "#Train set size: 3219\n",
      "#Selected categories: ['alt.atheism', 'comp.graphics', 'comp.sys.ibm.pc.hardware', 'sci.crypt', 'sci.space', 'talk.religion.misc']\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_20newsgroups\n",
    "\n",
    "categories = ['alt.atheism', 'talk.religion.misc', 'comp.graphics', 'sci.space', \n",
    "              'comp.sys.ibm.pc.hardware', 'sci.crypt']\n",
    "\n",
    "#학습 데이터셋을 가져옴\n",
    "newsgroups_train = fetch_20newsgroups(subset='train', categories=categories)\n",
    "\n",
    "print('#Train set size:', len(newsgroups_train.data))\n",
    "print('#Selected categories:', newsgroups_train.target_names)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d0f7a323",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.feature_extraction.text import CountVectorizer\n",
    "\n",
    "cv = CountVectorizer(token_pattern=\"[\\w']{3,}\", stop_words='english', \n",
    "                     max_features=2000, min_df=5, max_df=0.5)\n",
    "review_cv = cv.fit_transform(newsgroups_train.data) "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "117b78a8",
   "metadata": {},
   "source": [
    "### 2.2 LDA 토픽 모델링 실행\n",
    "\n",
    "\n",
    "1: https://scikit-learn.org/stable/modules/generated/sklearn.decomposition.LatentDirichletAllocation.html <br>\n",
    "2: Griffiths, Thomas L., and Mark Steyvers. \"Finding scientific topics.\" Proceedings of the National academy of Sciences 101.suppl 1 (2004): 5228-5235."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "da26c423",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "#shape of review_topics: (3219, 10)\n",
      "#Sample of review_topics: [0.903 0.007 0.028 0.008 0.007 0.008 0.007 0.007 0.007 0.017]\n",
      "#Sum of topic weights of documents: [0.088 0.082 0.085 0.112 0.116 0.124 0.102 0.072 0.07  0.149]\n",
      "#shape of topic word distribution: (10, 2000)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.decomposition import LatentDirichletAllocation\n",
    "import numpy as np\n",
    "np.set_printoptions(precision=3)\n",
    "\n",
    "lda = LatentDirichletAllocation(n_components = 10, #추출할 topic의 수\n",
    "                                max_iter=5, \n",
    "                                topic_word_prior=0.1, doc_topic_prior=1.0,\n",
    "                                learning_method='online', \n",
    "                                n_jobs= -1, #사용 processor 수\n",
    "                                random_state=0)\n",
    "\n",
    "review_topics = lda.fit_transform(review_cv)\n",
    "print('#shape of review_topics:', review_topics.shape)\n",
    "print('#Sample of review_topics:', review_topics[0])\n",
    "\n",
    "gross_topic_weights = np.mean(review_topics, axis=0)\n",
    "print('#Sum of topic weights of documents:', gross_topic_weights)\n",
    "\n",
    "print('#shape of topic word distribution:', lda.components_.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3662b1ae",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Topic #0: com, morality, article, keith, sgi, think, sandvik, objective, caltech, moral\n",
      "Topic #1: image, file, graphics, files, ftp, available, software, use, data, pub\n",
      "Topic #2: space, nasa, access, launch, earth, orbit, shuttle, digex, lunar, satellite\n",
      "Topic #3: article, com, just, like, don't, i'm, nntp, host, posting, university\n",
      "Topic #4: key, clipper, chip, encryption, com, government, keys, law, use, escrow\n",
      "Topic #5: scsi, com, bit, ibm, bus, know, windows, card, just, university\n",
      "Topic #6: host, nntp, posting, university, gov, distribution, ___, nasa, com, article\n",
      "Topic #7: drive, com, disk, hard, controller, drives, dos, tape, floppy, problem\n",
      "Topic #8: key, public, faq, mail, message, pgp, group, des, uni, sci\n",
      "Topic #9: god, people, don't, jesus, just, believe, does, say, think, know\n",
      "\n"
     ]
    }
   ],
   "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, end='')\n",
    "        print(\", \".join([feature_names[i] for i in topic.argsort()[:-n_top_words - 1:-1]]))\n",
    "        #print(\", \".join([feature_names[i]+'('+str(topic[i])+')' for i in topic.argsort()[:-n_top_words - 1:-1]]))\n",
    "        # 위 slicing에서 맨 뒤 -1은 역순을 의미, 역순으로 했을 때 처음부터 n_top_words까지\n",
    "    print()\n",
    "\n",
    "print_top_words(lda,cv.get_feature_names_out(), 10)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b79db881",
   "metadata": {},
   "source": [
    "### 2.3 최적의 토픽 수 선택하기\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "967db96b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n_components: 6, perplexity: 1062.480\n",
      "n_components: 7, perplexity: 1055.103\n",
      "n_components: 8, perplexity: 1015.387\n",
      "n_components: 9, perplexity: 1013.480\n",
      "n_components: 10, perplexity: 1029.741\n",
      "n_components: 11, perplexity: 1035.568\n",
      "n_components: 12, perplexity: 1034.684\n",
      "n_components: 13, perplexity: 1036.223\n",
      "n_components: 14, perplexity: 1041.608\n",
      "n_components: 15, perplexity: 1047.096\n"
     ]
    },
    {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "9"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "def show_perplexity(cv, start=10, end=30, max_iter=5, topic_word_prior= 0.1, \n",
    "                    doc_topic_prior=1.0):\n",
    "    iter_num = []\n",
    "    per_value = []\n",
    "\n",
    "    for i in range(start, end + 1):\n",
    "        lda = LatentDirichletAllocation(n_components = i, max_iter=max_iter, \n",
    "                                        topic_word_prior= topic_word_prior, \n",
    "                                        doc_topic_prior=doc_topic_prior,\n",
    "                                        learning_method='batch', n_jobs= -1,\n",
    "                                        random_state=7)    \n",
    "        lda.fit(cv)\n",
    "        iter_num.append(i)\n",
    "        pv = lda.perplexity(cv)\n",
    "        per_value.append(pv)\n",
    "        print(f'n_components: {i}, perplexity: {pv:0.3f}')\n",
    "\n",
    "    plt.plot(iter_num, per_value, 'g-')\n",
    "    plt.show()\n",
    "    return start + per_value.index(min(per_value))\n",
    "\n",
    "show_perplexity(review_cv, start=6, end=15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e30ace14",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Topic #0: image, graphics, file, available, mail, ftp, data, information, files, software\n",
      "Topic #1: posting, nntp, host, com, university, gov, article, distribution, nasa, ___\n",
      "Topic #2: com, keith, morality, article, caltech, think, sgi, objective, don't, posting\n",
      "Topic #3: com, article, jesus, know, just, don't, god, i'm, good, john\n",
      "Topic #4: people, god, does, don't, think, say, believe, just, like, way\n",
      "Topic #5: drive, scsi, card, com, disk, ide, controller, hard, bus, use\n",
      "Topic #6: space, nasa, access, launch, moon, year, earth, digex, shuttle, henry\n",
      "Topic #7: key, encryption, clipper, chip, com, government, keys, use, security, public\n",
      "\n"
     ]
    }
   ],
   "source": [
    "lda = LatentDirichletAllocation(n_components = 8, #추출할 topic의 수를 지정\n",
    "                                max_iter=20, \n",
    "                                topic_word_prior= 0.1, \n",
    "                                doc_topic_prior=1.0,\n",
    "                                learning_method='batch',\n",
    "                                n_jobs= -1, \n",
    "                                random_state=7)\n",
    "\n",
    "review_topics = lda.fit_transform(review_cv)\n",
    "\n",
    "print_top_words(lda, cv.get_feature_names_out(), 10)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c521513b",
   "metadata": {},
   "source": [
    "## 3. Gensim을 이용한 토픽 모델링\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "47e1acaf",
   "metadata": {},
   "source": [
    "### 3.1 Gensim 사용법과 시각화\n",
    "\n",
    "1: https://radimrehurek.com/gensim/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "e387f2f6",
   "metadata": {},
   "outputs": [],
   "source": [
    "#!pip install --upgrade gensim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "5efd2068",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 필요한 library들을 import\n",
    "from nltk.corpus import stopwords\n",
    "cachedStopWords = stopwords.words(\"english\")\n",
    "\n",
    "from nltk.tokenize import RegexpTokenizer\n",
    "\n",
    "RegTok = RegexpTokenizer(\"[\\w']{3,}\") # 정규표현식으로 토크나이저를 정의\n",
    "english_stops = set(stopwords.words('english')) #영어 불용어를 가져옴\n",
    "\n",
    "def tokenizer(text):\n",
    "    tokens = RegTok.tokenize(text.lower()) \n",
    "    # stopwords 제외\n",
    "    words = [word for word in tokens if (word not in english_stops) and len(word) > 2]\n",
    "    return words\n",
    "\n",
    "texts = [tokenizer(news) for news in newsgroups_train.data]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62b4d816",
   "metadata": {},
   "source": [
    "1: https://radimrehurek.com/gensim/corpora/dictionary.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "990c82b5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "#Number of initial unique words in documents: 46466\n",
      "#Number of unique words after removing rare and common words: 2000\n",
      "#Number of unique tokens: 2000\n",
      "#Number of documents: 3219\n"
     ]
    }
   ],
   "source": [
    "from gensim.corpora.dictionary import Dictionary\n",
    "\n",
    "# 토큰화 결과로부터 dictionay 생성\n",
    "dictionary = Dictionary(texts)\n",
    "print('#Number of initial unique words in documents:', len(dictionary))\n",
    "\n",
    "# 문서 빈도수가 너무 적거나 높은 단어를 필터링하고 특성을 단어의 빈도 순으로 선택\n",
    "dictionary.filter_extremes(keep_n = 2000, no_below=5, no_above=0.5)\n",
    "print('#Number of unique words after removing rare and common words:', len(dictionary))\n",
    "\n",
    "# 카운트 벡터로 변환\n",
    "corpus = [dictionary.doc2bow(text) for text in texts]\n",
    "print('#Number of unique tokens: %d' % len(dictionary))\n",
    "print('#Number of documents: %d' % len(corpus))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2eeccb3b",
   "metadata": {},
   "source": [
    "1: https://radimrehurek.com/gensim/models/ldamodel.html "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "0a0b12a5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: total: 3.14 s\n",
      "Wall time: 5.21 s\n"
     ]
    }
   ],
   "source": [
    "from gensim.models import LdaModel\n",
    "\n",
    "num_topics = 10\n",
    "passes = 5\n",
    "%time model = LdaModel(corpus=corpus, id2word=dictionary,\\\n",
    "                       passes=passes, num_topics=num_topics, \\\n",
    "                       random_state=7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "c01b0331",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(0,\n",
       "  '0.023*\"com\" + 0.018*\"keith\" + 0.016*\"caltech\" + 0.013*\"sgi\" + 0.013*\"nntp\" + 0.013*\"posting\" + 0.013*\"host\" + 0.012*\"would\" + 0.012*\"system\" + 0.011*\"livesey\"'),\n",
       " (1,\n",
       "  '0.020*\"morality\" + 0.018*\"objective\" + 0.015*\"one\" + 0.015*\"say\" + 0.014*\"uiuc\" + 0.012*\"frank\" + 0.012*\"values\" + 0.010*\"faq\" + 0.010*\"article\" + 0.008*\"cso\"'),\n",
       " (2,\n",
       "  '0.026*\"com\" + 0.025*\"access\" + 0.025*\"posting\" + 0.023*\"host\" + 0.023*\"nntp\" + 0.017*\"digex\" + 0.015*\"article\" + 0.013*\"cwru\" + 0.013*\"___\" + 0.013*\"net\"'),\n",
       " (3,\n",
       "  '0.021*\"university\" + 0.017*\"posting\" + 0.015*\"host\" + 0.015*\"nntp\" + 0.013*\"article\" + 0.010*\"com\" + 0.009*\"know\" + 0.009*\"i\\'m\" + 0.009*\"would\" + 0.009*\"thanks\"'),\n",
       " (4,\n",
       "  '0.032*\"com\" + 0.015*\"would\" + 0.011*\"article\" + 0.010*\"one\" + 0.010*\"get\" + 0.009*\"people\" + 0.009*\"ibm\" + 0.008*\"government\" + 0.007*\"good\" + 0.007*\"i\\'m\"'),\n",
       " (5,\n",
       "  '0.025*\"key\" + 0.017*\"encryption\" + 0.014*\"clipper\" + 0.014*\"chip\" + 0.009*\"keys\" + 0.009*\"use\" + 0.008*\"security\" + 0.008*\"government\" + 0.008*\"public\" + 0.007*\"escrow\"'),\n",
       " (6,\n",
       "  '0.024*\"scsi\" + 0.024*\"drive\" + 0.013*\"com\" + 0.012*\"ide\" + 0.011*\"controller\" + 0.010*\"bus\" + 0.010*\"card\" + 0.010*\"disk\" + 0.009*\"one\" + 0.009*\"drives\"'),\n",
       " (7,\n",
       "  '0.017*\"graphics\" + 0.012*\"image\" + 0.012*\"ftp\" + 0.011*\"file\" + 0.010*\"files\" + 0.009*\"available\" + 0.009*\"data\" + 0.009*\"pub\" + 0.008*\"software\" + 0.008*\"use\"'),\n",
       " (8,\n",
       "  '0.014*\"god\" + 0.013*\"people\" + 0.012*\"one\" + 0.009*\"would\" + 0.007*\"jesus\" + 0.007*\"com\" + 0.007*\"think\" + 0.006*\"many\" + 0.006*\"even\" + 0.006*\"say\"'),\n",
       " (9,\n",
       "  '0.033*\"space\" + 0.019*\"nasa\" + 0.009*\"gov\" + 0.007*\"first\" + 0.007*\"launch\" + 0.006*\"moon\" + 0.006*\"earth\" + 0.006*\"orbit\" + 0.006*\"shuttle\" + 0.006*\"would\"')]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.print_topics(num_words=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "3c612bb6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "#topic distribution of the first document:  [(0, 0.7257734), (8, 0.26994655)]\n"
     ]
    }
   ],
   "source": [
    "print(\"#topic distribution of the first document: \", model.get_document_topics(corpus)[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "0738da55",
   "metadata": {},
   "outputs": [],
   "source": [
    "#!pip install pyldavis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "f91053c8",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\user\\anaconda3\\envs\\text\\lib\\site-packages\\pyLDAvis\\_prepare.py:247: FutureWarning: In a future version of pandas all arguments of DataFrame.drop except for the argument 'labels' will be keyword-only.\n",
      "  by='saliency', ascending=False).head(R).drop('saliency', 1)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\" type=\"text/css\" href=\"https://cdn.jsdelivr.net/gh/bmabey/pyLDAvis@3.3.1/pyLDAvis/js/ldavis.v1.0.0.css\">\n",
       "\n",
       "\n",
       "<div id=\"ldavis_el2012424139214132489967689502\"></div>\n",
       "<script type=\"text/javascript\">\n",
       "\n",
       "var ldavis_el2012424139214132489967689502_data = {\"mdsDat\": {\"x\": [-0.13719950634054548, 0.06598947340190967, 0.0721330191618302, 0.13832018410983618, -0.021827743067303836, 0.07278315311979361, 0.027374698313663754, -0.04078846810661871, 0.005360177056773495, -0.18214498764933884], \"y\": [0.04024908363356367, 0.12361852032115109, 0.092872418857484, 0.04360844640043054, 0.007493246024047012, -0.0947090992398548, -0.05494863308690737, -0.1299746645689655, -0.09197147508681018, 0.06376215674586126], \"topics\": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"cluster\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], \"Freq\": [22.65545289857801, 14.522841113345658, 12.987440204098673, 11.020426815309163, 9.29833072262948, 9.118876981356133, 8.494184842181406, 4.524032771099249, 4.051833317676408, 3.326580333725821]}, \"tinfo\": {\"Term\": [\"space\", \"com\", \"key\", \"scsi\", \"posting\", \"drive\", \"nntp\", \"host\", \"nasa\", \"encryption\", \"access\", \"god\", \"article\", \"university\", \"graphics\", \"clipper\", \"say\", \"morality\", \"chip\", \"image\", \"keith\", \"ide\", \"ftp\", \"keys\", \"one\", \"controller\", \"objective\", \"caltech\", \"card\", \"sgi\", \"sandvik\", \"christ\", \"religious\", \"koresh\", \"religions\", \"christians\", \"jaeger\", \"jesus\", \"gregg\", \"bible\", \"followers\", \"alink\", \"ksand\", \"jews\", \"faith\", \"rushdie\", \"tourist\", \"cookamunga\", \"newton\", \"buphy\", \"islamic\", \"jewish\", \"children\", \"muslim\", \"christianity\", \"church\", \"muslims\", \"god\", \"father\", \"beliefs\", \"religion\", \"atheist\", \"islam\", \"biblical\", \"belief\", \"kent\", \"argument\", \"evidence\", \"christian\", \"conclusion\", \"atheism\", \"atheists\", \"life\", \"people\", \"believe\", \"therefore\", \"true\", \"say\", \"one\", \"many\", \"think\", \"even\", \"would\", \"said\", \"see\", \"way\", \"good\", \"know\", \"com\", \"well\", \"like\", \"article\", \"things\", \"may\", \"time\", \"also\", \"enforcement\", \"encrypted\", \"wiretap\", \"rsa\", \"denning\", \"decrypt\", \"encryption\", \"keys\", \"escrow\", \"privacy\", \"encrypt\", \"nist\", \"toal\", \"gtoal\", \"9760\", \"conversations\", \"key\", \"hamburg\", \"dorothy\", \"pgp\", \"security\", \"ensure\", \"eff\", \"241\", \"secure\", \"strnlght\", \"des\", \"manufacturers\", \"sternlight\", \"clipper\", \"cryptography\", \"crypto\", \"chip\", \"agencies\", \"protect\", \"secret\", \"proposal\", \"algorithm\", \"administration\", \"public\", \"government\", \"law\", \"technology\", \"use\", \"information\", \"netcom\", \"communications\", \"system\", \"used\", \"would\", \"com\", \"two\", \"data\", \"one\", \"new\", \"bit\", \"henry\", \"zoo\", \"shuttle\", \"spencer\", \"satellites\", \"zoology\", \"propulsion\", \"toronto\", \"satellite\", \"utzoo\", \"launch\", \"missions\", \"flight\", \"fuel\", \"astronomy\", \"orbital\", \"mars\", \"mission\", \"vehicle\", \"rocket\", \"solar\", \"spacecraft\", \"nasa\", \"lunar\", \"rockets\", \"space\", \"baalke\", \"jet\", \"kelvin\", \"russian\", \"moon\", \"jpl\", \"orbit\", \"jsc\", \"planetary\", \"station\", \"gov\", \"earth\", \"year\", \"center\", \"first\", \"research\", \"cost\", \"sci\", \"1993\", \"also\", \"would\", \"data\", \"one\", \"new\", \"program\", \"system\", \"article\", \"packages\", \"package\", \"formats\", \"byte\", \"gif\", \"routines\", \"128\", \"ftp\", \"pub\", \"directory\", \"format\", \"image\", \"graphics\", \"drawing\", \"dec\", \"display\", \"files\", \"amiga\", \"comp\", \"contact\", \"processing\", \"functions\", \"file\", \"sites\", \"color\", \"objects\", \"animation\", \"256\", \"database\", \"images\", \"library\", \"server\", \"machines\", \"available\", \"version\", \"program\", \"software\", \"anonymous\", \"data\", \"mail\", \"send\", \"bits\", \"line\", \"code\", \"type\", \"use\", \"also\", \"unix\", \"system\", \"com\", \"get\", \"information\", \"one\", \"vnet\", \"tapped\", \"amendment\", \"brad\", \"dseg\", \"police\", \"bear\", \"warrant\", \"labs\", \"bet\", \"instruments\", \"constitution\", \"fred\", \"craig\", \"nuclear\", \"we're\", \"reverse\", \"trade\", \"phones\", \"trust\", \"ibm\", \"expressed\", \"concern\", \"governments\", \"represents\", \"rob\", \"measures\", \"they'll\", \"classified\", \"1993apr20\", \"berkeley\", \"let's\", \"money\", \"nsa\", \"buy\", \"monitor\", \"com\", \"market\", \"government\", \"uucp\", \"business\", \"right\", \"get\", \"would\", \"care\", \"i'd\", \"going\", \"article\", \"phone\", \"enough\", \"people\", \"i'm\", \"good\", \"even\", \"one\", \"can't\", \"think\", \"like\", \"sure\", \"state\", \"could\", \"know\", \"posting\", \"years\", \"time\", \"distribution\", \"nntp\", \"host\", \"may\", \"want\", \"scsi\", \"ide\", \"eisa\", \"isa\", \"controller\", \"drives\", \"cache\", \"motherboard\", \"bus\", \"drive\", \"boot\", \"vlb\", \"bios\", \"uwo\", \"sec\", \"cpu\", \"floppy\", \"486\", \"port\", \"pin\", \"mouse\", \"settings\", \"sys\", \"ports\", \"boards\", \"rom\", \"setup\", \"cards\", \"tape\", \"mhz\", \"disk\", \"drivers\", \"card\", \"modem\", \"board\", \"hard\", \"speed\", \"dos\", \"driver\", \"com\", \"bit\", \"problem\", \"system\", \"work\", \"use\", \"one\", \"get\", \"know\", \"like\", \"would\", \"two\", \"article\", \"thanks\", \"cis\", \"simon\", \"jeff\", \"tiff\", \"washington\", \"significance\", \"colorado\", \"thomas\", \"daniel\", \"umich\", \"michigan\", \"spot\", \"navy\", \"jupiter\", \"hello\", \"wondering\", \"univ\", \"appreciate\", \"diego\", \"print\", \"southern\", \"rice\", \"martin\", \"screen\", \"dan\", \"looking\", \"electrical\", \"visible\", \"mark\", \"los\", \"thanks\", \"university\", \"advance\", \"book\", \"dept\", \"posting\", \"nntp\", \"host\", \"anyone\", \"sun\", \"keywords\", \"i'm\", \"please\", \"science\", \"article\", \"reply\", \"post\", \"distribution\", \"mail\", \"know\", \"computer\", \"help\", \"i've\", \"like\", \"read\", \"would\", \"com\", \"one\", \"world\", 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      "text/plain": [
       "PreparedData(topic_coordinates=              x         y  topics  cluster       Freq\n",
       "topic                                                \n",
       "8     -0.137200  0.040249       1        1  22.655453\n",
       "5      0.065989  0.123619       2        1  14.522841\n",
       "9      0.072133  0.092872       3        1  12.987440\n",
       "7      0.138320  0.043608       4        1  11.020427\n",
       "4     -0.021828  0.007493       5        1   9.298331\n",
       "6      0.072783 -0.094709       6        1   9.118877\n",
       "3      0.027375 -0.054949       7        1   8.494185\n",
       "0     -0.040788 -0.129975       8        1   4.524033\n",
       "2      0.005360 -0.091971       9        1   4.051833\n",
       "1     -0.182145  0.063762      10        1   3.326580, topic_info=            Term         Freq        Total Category  logprob  loglift\n",
       "538        space  1487.000000  1487.000000  Default  30.0000  30.0000\n",
       "20           com  3752.000000  3752.000000  Default  29.0000  29.0000\n",
       "834          key  1316.000000  1316.000000  Default  28.0000  28.0000\n",
       "1551        scsi   741.000000   741.000000  Default  27.0000  27.0000\n",
       "70       posting  1723.000000  1723.000000  Default  26.0000  26.0000\n",
       "...          ...          ...          ...      ...      ...      ...\n",
       "65        people    64.444054  1672.571245  Topic10  -5.1558   0.1469\n",
       "789          sci    53.263300   309.473890  Topic10  -5.3463   1.6436\n",
       "602   university    56.862384  1487.218952  Topic10  -5.2810   0.1392\n",
       "294         time    55.766874  1187.715348  Topic10  -5.3004   0.3446\n",
       "315       better    54.192171   564.543546  Topic10  -5.3290   1.0597\n",
       "\n",
       "[592 rows x 6 columns], token_table=      Topic      Freq     Term\n",
       "term                          \n",
       "1359      1  0.006274      128\n",
       "1359      2  0.069013      128\n",
       "1359      3  0.037643      128\n",
       "1359      4  0.878342      128\n",
       "153       1  0.057463     1993\n",
       "...     ...       ...      ...\n",
       "343       8  0.022394    years\n",
       "343       9  0.005599    years\n",
       "343      10  0.121303    years\n",
       "704       3  0.991487      zoo\n",
       "705       3  0.984036  zoology\n",
       "\n",
       "[2804 rows x 3 columns], R=30, lambda_step=0.01, plot_opts={'xlab': 'PC1', 'ylab': 'PC2'}, topic_order=[9, 6, 10, 8, 5, 7, 4, 1, 3, 2])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pyLDAvis\n",
    "import pyLDAvis.gensim_models as gensimvis\n",
    "pyLDAvis.enable_notebook()\n",
    "\n",
    "# feed the LDA model into the pyLDAvis instance\n",
    "lda_viz = gensimvis.prepare(model, corpus, dictionary)\n",
    "lda_viz"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b25285f",
   "metadata": {},
   "source": [
    "### 3.2 혼란도와 토픽 응집도를 이용한 최적값 선택\n",
    "\n",
    "https://radimrehurek.com/gensim/models/coherencemodel.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "7a6d982d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-1.7493528544065975\n"
     ]
    }
   ],
   "source": [
    "from gensim.models import CoherenceModel\n",
    "\n",
    "cm = CoherenceModel(model=model, corpus=corpus, coherence='u_mass')\n",
    "coherence = cm.get_coherence()\n",
    "print(coherence)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "748ab7e4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "num_topics: 6, perplexity: -7.035, coherence: -1.701\n",
      "num_topics: 7, perplexity: -7.023, coherence: -1.735\n",
      "num_topics: 8, perplexity: -7.023, coherence: -1.547\n",
      "num_topics: 9, perplexity: -7.007, coherence: -1.891\n",
      "num_topics: 10, perplexity: -6.996, coherence: -1.888\n",
      "num_topics: 11, perplexity: -7.027, coherence: -2.164\n",
      "num_topics: 12, perplexity: -7.019, coherence: -2.018\n",
      "num_topics: 13, perplexity: -7.025, coherence: -2.255\n",
      "num_topics: 14, perplexity: -7.020, coherence: -2.082\n",
      "num_topics: 15, perplexity: -7.019, coherence: -2.521\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def show_coherence(corpus, dictionary, start=6, end=15):\n",
    "    iter_num = []\n",
    "    per_value = []\n",
    "    coh_value = []\n",
    "\n",
    "    for i in range(start, end + 1):\n",
    "        model = LdaModel(corpus=corpus, id2word=dictionary,\n",
    "                 chunksize=1000, num_topics=i,\n",
    "                 random_state=7)\n",
    "        iter_num.append(i)\n",
    "        pv = model.log_perplexity(corpus)\n",
    "        per_value.append(pv)\n",
    "        \n",
    "        cm = CoherenceModel(model=model, corpus=corpus, \n",
    "                            coherence='u_mass')\n",
    "        cv = cm.get_coherence()\n",
    "        coh_value.append(cv)\n",
    "        print(f'num_topics: {i}, perplexity: {pv:0.3f}, coherence: {cv:0.3f}')\n",
    "\n",
    "    plt.plot(iter_num, per_value, 'g-')\n",
    "    plt.xlabel(\"num_topics\")\n",
    "    plt.ylabel(\"perplexity\")\n",
    "    plt.show()\n",
    "\n",
    "    plt.plot(iter_num, coh_value, 'r--')\n",
    "    plt.xlabel(\"num_topics\")\n",
    "    plt.ylabel(\"coherence\")\n",
    "    plt.show()\n",
    "\n",
    "show_coherence(corpus, dictionary, start=6, end=15)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "40a66a0f",
   "metadata": {},
   "source": [
    "## 4. 토픽트렌드로 시간에 따른 주제의 변화 알아내기"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5bb896d4",
   "metadata": {},
   "source": [
    "1: https://github.com/akngs/petitions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "f7f16a98",
   "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>article_id</th>\n",
       "      <th>start</th>\n",
       "      <th>end</th>\n",
       "      <th>answered</th>\n",
       "      <th>votes</th>\n",
       "      <th>category</th>\n",
       "      <th>title</th>\n",
       "      <th>content</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>58</td>\n",
       "      <td>2017-08-19</td>\n",
       "      <td>2017-11-17</td>\n",
       "      <td>0</td>\n",
       "      <td>21</td>\n",
       "      <td>일자리</td>\n",
       "      <td>국토교통부와 한국주택협회가 행한 부당한 행위와 권력남용에 대한 내용을 청원드립니다.</td>\n",
       "      <td>안녕하세요? 존경하고 지지하는 문재인 대통령님!\\n저는 성남시 분당구 정자동 주택전...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   article_id       start         end  answered  votes category  \\\n",
       "0          58  2017-08-19  2017-11-17         0     21      일자리   \n",
       "\n",
       "                                            title  \\\n",
       "0  국토교통부와 한국주택협회가 행한 부당한 행위와 권력남용에 대한 내용을 청원드립니다.   \n",
       "\n",
       "                                             content  \n",
       "0  안녕하세요? 존경하고 지지하는 문재인 대통령님!\\n저는 성남시 분당구 정자동 주택전...  "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "df = pd.read_csv(\"./data/petition_sampled.csv\") #read data\n",
    "df.head(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "3701321d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(18077, 1000)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.feature_extraction.text import CountVectorizer\n",
    "from konlpy.tag import Okt #konlpy에서 Twitter 형태소 분석기를 import\n",
    "twit = Okt()\n",
    "\n",
    "def tokenizer(doc):\n",
    "    return [token for token in twit.nouns(doc) if len(token) > 1]\n",
    "\n",
    "vec = CountVectorizer(tokenizer=tokenizer, #우선은 명사만 사용\n",
    "                      max_df=0.5, min_df = 5, \n",
    "                      max_features = 1000) #적당한 대상 단어 수를 선택\n",
    "\n",
    "pet_cv = vec.fit_transform(df.content)\n",
    "print(pet_cv.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "d0e148bd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: total: 125 ms\n",
      "Wall time: 2.66 s\n",
      "Topic #0: 사람, 생각, 대통령, 국민, 나라, 정말, 지금, 병원, 대한민국, 사건\n",
      "Topic #1: 북한, 한국, 우리, 대통령, 국민, 정부, 대한민국, 미국, 일본, 문재인\n",
      "Topic #2: 아이, 부모, 생각, 어린이집, 엄마, 교사, 우리, 유치원, 가정, 자녀\n",
      "Topic #3: 청소년, 불법, 폐지, 보호, 장애인, 조직, 생각, 사찰, 게임, 이용\n",
      "Topic #4: 정부, 정책, 주택, 부동산, 서민, 아파트, 국민, 세금, 나라, 투기\n",
      "Topic #5: 일자리, 기업, 회사, 생각, 근무, 정부, 근로자, 시간, 임금, 최저임금\n",
      "Topic #6: 국민, 청원, 국회의원, 국회, 난민, 의원, 건강, 의료, 반대, 세금\n",
      "Topic #7: 내용, 조사, 대한, 관리, 관련, 판결, 사실, 확인, 업무, 처리\n",
      "Topic #8: 학생, 학교, 교육, 선수, 시험, 생각, 대학, 공부, 교사, 선생님\n",
      "Topic #9: 연금, 보험, 국민연금, 공무원, 방송, 지급, 국민, 소득, 가입, 국가\n",
      "Topic #10: 여성, 사회, 공무원, 대한민국, 생각, 남성, 국민, 의무, 남자, 나라\n",
      "Topic #11: 경찰, 범죄, 국민, 사건, 위해, 조직, 대한민국, 불법, 만행, 경찰서\n",
      "Topic #12: 처벌, 피해자, 사건, 차량, 사고, 피해, 가해자, 범죄, 경우, 대한\n",
      "Topic #13: 민원, 화폐, 가상, 정부, 투자, 거래, 시장, 계획, 규제, 주민\n",
      "Topic #14: 지역, 사람, 대출, 저희, 서울, 미세먼지, 생각, 문제, 은행, 사용\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\user\\anaconda3\\envs\\text\\lib\\site-packages\\sklearn\\utils\\deprecation.py:87: FutureWarning: Function get_feature_names is deprecated; get_feature_names is deprecated in 1.0 and will be removed in 1.2. Please use get_feature_names_out instead.\n",
      "  warnings.warn(msg, category=FutureWarning)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.decomposition import LatentDirichletAllocation\n",
    "\n",
    "lda = LatentDirichletAllocation(n_components = 15, \\\n",
    "                                n_jobs= -1, \\\n",
    "                                random_state=0)\n",
    "\n",
    "%time pet_topics = lda.fit_transform(pet_cv)\n",
    "\n",
    "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, end='')\n",
    "        print(\", \".join([feature_names[i] \n",
    "                         for i in topic.argsort()[:-n_top_words - 1:-1]]))\n",
    "print_top_words(lda,vec.get_feature_names(), 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "dae03049",
   "metadata": {},
   "outputs": [
    {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Topic12</th>\n",
       "      <th>Topic13</th>\n",
       "      <th>Topic14</th>\n",
       "      <th>Topic15</th>\n",
       "      <th>start</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
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       "      <th>0</th>\n",
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       "      <th>1</th>\n",
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       "      <td>0.000813</td>\n",
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       "      <td>0.393834</td>\n",
       "      <td>2017-08</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.001449</td>\n",
       "      <td>0.001449</td>\n",
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       "      <td>2017-08</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.000227</td>\n",
       "      <td>0.000227</td>\n",
       "      <td>0.000227</td>\n",
       "      <td>0.000227</td>\n",
       "      <td>2017-08</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.000447</td>\n",
       "      <td>0.046377</td>\n",
       "      <td>0.000447</td>\n",
       "      <td>0.000447</td>\n",
       "      <td>2017-08</td>\n",
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      ],
      "text/plain": [
       "    Topic12   Topic13   Topic14   Topic15    start\n",
       "0  0.000307  0.000307  0.000307  0.000307  2017-08\n",
       "1  0.000813  0.000813  0.000813  0.393834  2017-08\n",
       "2  0.001449  0.001449  0.001449  0.001449  2017-08\n",
       "3  0.000227  0.000227  0.000227  0.000227  2017-08\n",
       "4  0.000447  0.046377  0.000447  0.000447  2017-08"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trend_data = pd.DataFrame(pet_topics, columns=['Topic'+str(i) for i in range(1, 16)])\n",
    "trend_data = pd.concat([trend_data, df.start.map(lambda x: x[:7])], axis=1)\n",
    "trend_data.iloc[:5, -5:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "fa9a487f",
   "metadata": {},
   "outputs": [
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Topic11</th>\n",
       "      <th>Topic12</th>\n",
       "      <th>Topic13</th>\n",
       "      <th>Topic14</th>\n",
       "      <th>Topic15</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>start</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th>2017-08</th>\n",
       "      <td>0.046763</td>\n",
       "      <td>0.018676</td>\n",
       "      <td>0.025943</td>\n",
       "      <td>0.026137</td>\n",
       "      <td>0.086531</td>\n",
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       "    <tr>\n",
       "      <th>2017-09</th>\n",
       "      <td>0.046787</td>\n",
       "      <td>0.022686</td>\n",
       "      <td>0.123019</td>\n",
       "      <td>0.020895</td>\n",
       "      <td>0.038985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-10</th>\n",
       "      <td>0.088040</td>\n",
       "      <td>0.054059</td>\n",
       "      <td>0.069562</td>\n",
       "      <td>0.029880</td>\n",
       "      <td>0.082948</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-11</th>\n",
       "      <td>0.048525</td>\n",
       "      <td>0.041486</td>\n",
       "      <td>0.230528</td>\n",
       "      <td>0.039703</td>\n",
       "      <td>0.041132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12</th>\n",
       "      <td>0.060431</td>\n",
       "      <td>0.031496</td>\n",
       "      <td>0.073957</td>\n",
       "      <td>0.053224</td>\n",
       "      <td>0.066043</td>\n",
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      ],
      "text/plain": [
       "          Topic11   Topic12   Topic13   Topic14   Topic15\n",
       "start                                                    \n",
       "2017-08  0.046763  0.018676  0.025943  0.026137  0.086531\n",
       "2017-09  0.046787  0.022686  0.123019  0.020895  0.038985\n",
       "2017-10  0.088040  0.054059  0.069562  0.029880  0.082948\n",
       "2017-11  0.048525  0.041486  0.230528  0.039703  0.041132\n",
       "2017-12  0.060431  0.031496  0.073957  0.053224  0.066043"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trend = trend_data.groupby(['start']).mean()\n",
    "trend.iloc[:5, -5:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "f4919c1f",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1600 with 15 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "fig, axes = plt.subplots(5, 3, sharex='col', figsize=(12, 16)) \n",
    "for col, ax in zip(trend.columns.tolist(), axes.ravel()): \n",
    "    ax.set_title(col)\n",
    "    ax.axes.xaxis.set_visible(False)\n",
    "    ax.plot(trend[col])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe57a593",
   "metadata": {},
   "source": [
    "## 5. 동적 토픽 모델링(Dynamic Topic Modeling)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "101bc487",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[83, 906, 298, 1446, 926, 1514, 1304, 1097, 1217, 1301, 1246, 1291, 1390, 1155, 1277, 1187, 439] 18077\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "df = pd.read_csv(\"./data/petition_sampled.csv\") \n",
    "df_sorted = df.sort_values(by='start') # 문서를 시작날짜 순으로 정렬\n",
    "\n",
    "# time slice를 생성. 월별로 변화를 보기 위해 연도와 월만 추출하여 time 열 생성\n",
    "df_sorted['time'] = df_sorted['start'].map(lambda x: x[:7])\n",
    "\n",
    "# 각 월별로 문서가 몇건인지를 계산하여 time_slice에 저장\n",
    "time_slice = list(df_sorted['time'].value_counts().sort_index())\n",
    "print(time_slice, sum(time_slice))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "5427c9a4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['2017-08', '2017-09', '2017-10', '2017-11', '2017-12', '2018-01', '2018-02', '2018-03', '2018-04', '2018-05', '2018-06', '2018-07', '2018-08', '2018-09', '2018-10', '2018-11', '2018-12']\n"
     ]
    }
   ],
   "source": [
    "# 시간 구간을 리스트로 작성\n",
    "time_tag = sorted(list(set(df_sorted['time'])))\n",
    "print(time_tag)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "650aab0d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "#Number of initial unique words in documents: 36344\n",
      "#Number of unique words after removing rare and common words: 2000\n",
      "#Number of unique tokens: 2000\n",
      "#Number of documents: 18077\n"
     ]
    }
   ],
   "source": [
    "from gensim.corpora.dictionary import Dictionary\n",
    "from konlpy.tag import Okt #konlpy에서 Twitter 형태소 분석기를 import\n",
    "twit = Okt()\n",
    "\n",
    "def tokenizer(doc): #명사만 사용\n",
    "    return [token for token in twit.nouns(doc) if len(token) > 1]\n",
    "\n",
    "#청원데이터의 텍스트를 토큰화\n",
    "texts = [tokenizer(news) for news in df_sorted['content']]\n",
    "\n",
    "# 토큰화 결과로부터 dictionay 생성\n",
    "dictionary = Dictionary(texts) \n",
    "print('#Number of initial unique words in documents:', len(dictionary))\n",
    "\n",
    "# 문서 빈도수가 너무 적거나 높은 단어를 필터링하고 특성을 단어의 빈도 순으로 선택\n",
    "dictionary.filter_extremes(keep_n = 2000, no_below=5, no_above=0.5)\n",
    "print('#Number of unique words after removing rare and common words:', len(dictionary))\n",
    "\n",
    "# 카운트 벡터로 변환\n",
    "corpus = [dictionary.doc2bow(text) for text in texts]\n",
    "print('#Number of unique tokens: %d' % len(dictionary))\n",
    "print('#Number of documents: %d' % len(corpus))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "c93b62a0",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "num_topics: 6, perplexity: -6.903, coherence: -2.204\n",
      "num_topics: 7, perplexity: -6.885, coherence: -2.174\n",
      "num_topics: 8, perplexity: -6.886, coherence: -2.181\n",
      "num_topics: 9, perplexity: -6.875, coherence: -2.323\n",
      "num_topics: 10, perplexity: -6.860, coherence: -2.298\n",
      "num_topics: 11, perplexity: -6.863, coherence: -2.355\n",
      "num_topics: 12, perplexity: -6.864, coherence: -2.616\n",
      "num_topics: 13, perplexity: -6.872, coherence: -2.333\n",
      "num_topics: 14, perplexity: -6.884, coherence: -2.439\n",
      "num_topics: 15, perplexity: -6.946, coherence: -2.452\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 적절한 토픽의 수를 알아보기 위해 토픽수를 바꿔가면서 log_perplexity와 coherence를 계산\n",
    "from gensim.models import CoherenceModel\n",
    "\n",
    "coherence = cm.get_coherence()\n",
    "show_coherence(corpus, dictionary, start=6, end=15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "f4005583",
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "# LdaSeqModel를 실행\n",
    "from gensim.models import LdaSeqModel\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "#시간이 많이 소요됨\n",
    "ldaseq = LdaSeqModel(corpus=corpus, id2word=dictionary, time_slice=time_slice, num_topics=6, random_state=7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "52183ed2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 토픽결과로부터 상위 n개의 단어만 반환하는 함수 작성\n",
    "def get_topic_words(topic, top_n_words=10):\n",
    "    words, _ = zip(*topic)\n",
    "    return words[:top_n_words]\n",
    "\n",
    "# 주어진 토픽에 대해 시간별로 상위단어를 간략하게 출력하는 함수 작성\n",
    "def print_topic_times(model, topic, time_tag, top_n_words=10):\n",
    "    topic_times = model.print_topic_times(topic)\n",
    "    for i in range(len(topic_times)):\n",
    "        print(time_tag[i]+':', get_topic_words(topic_times[i], top_n_words))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "70699a52",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2017-08: ('청소년', '보호', '경찰', '생각', '범죄', '폐지', '사건', '피해자')\n",
      "2017-09: ('청소년', '보호', '생각', '경찰', '범죄', '폐지', '사건', '피해자')\n",
      "2017-10: ('경찰', '범죄', '국민', '대한민국', '사람', '위해', '피해자', '청소년')\n",
      "2017-11: ('경찰', '범죄', '국민', '사람', '대한민국', '위해', '사건', '생각')\n",
      "2017-12: ('사람', '경찰', '범죄', '생각', '처벌', '대한민국', '국민', '피해자')\n",
      "2018-01: ('사람', '선수', '처벌', '생각', '피해자', '여성', '범죄', '경찰')\n",
      "2018-02: ('사람', '선수', '처벌', '생각', '여성', '피해자', '사회', '범죄')\n",
      "2018-03: ('사람', '처벌', '여성', '생각', '피해자', '사회', '선수', '범죄')\n",
      "2018-04: ('사람', '처벌', '생각', '여성', '피해자', '사회', '범죄', '사건')\n",
      "2018-05: ('사람', '처벌', '생각', '여성', '피해자', '사건', '범죄', '사회')\n",
      "2018-06: ('사람', '처벌', '생각', '여성', '피해자', '사회', '사건', '범죄')\n",
      "2018-07: ('사람', '처벌', '생각', '여성', '피해자', '사건', '사회', '남성')\n",
      "2018-08: ('사람', '생각', '처벌', '여성', '피해자', '사건', '남성', '사회')\n",
      "2018-09: ('사람', '생각', '처벌', '여성', '사건', '피해자', '사회', '남성')\n",
      "2018-10: ('사람', '처벌', '생각', '사건', '피해자', '여성', '사회', '범죄')\n",
      "2018-11: ('사람', '처벌', '생각', '사건', '피해자', '여성', '사회', '범죄')\n",
      "2018-12: ('사람', '처벌', '생각', '사건', '여성', '피해자', '사회', '남자')\n"
     ]
    }
   ],
   "source": [
    "# 4번 토픽에 대해 시간 별로 상위 8개의 단어를 출력\n",
    "print_topic_times(ldaseq, 4, time_tag, 8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "6ff708b0",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 구간별로 문서 토픽 분포의 평균을 구하여 토픽의 트렌드로 사용\n",
    "def get_topic_trends(model, corpus, time_slice):\n",
    "    dtm = model.dtm_vis(0, corpus) #dtm_vis 메서드를 이용해 문서별 토픽분포를 가져옴\n",
    "    result = []\n",
    "    start = 0\n",
    "    for index in time_slice: # 각 구간별 문서들에 대해 토픽분포의 평균을 구함\n",
    "        result.append(np.array(dtm[0][start:start+index]).mean(axis=0))\n",
    "        start += index\n",
    "    return np.array(result)\n",
    "topic_trends = get_topic_trends(ldaseq, corpus, time_slice)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "29ad388f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "topic_titles = ['Topic '+str(i) for i in range(6)] # 토픽 타이틀 생성\n",
    "fig, axes = plt.subplots(2, 3, sharex='col', figsize=(12, 6)) \n",
    "for i, (title, ax) in enumerate(zip(topic_titles, axes.ravel())): \n",
    "    ax.set_title(title)\n",
    "    ax.set_xticks([0, 5, 10, 15])\n",
    "    ax.set_xticklabels(time_tag[::5])\n",
    "    ax.plot(topic_trends[:, i])\n",
    "plt.savefig('dtm.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "d314b12c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\" type=\"text/css\" href=\"https://cdn.jsdelivr.net/gh/bmabey/pyLDAvis@3.3.1/pyLDAvis/js/ldavis.v1.0.0.css\">\n",
       "\n",
       "\n",
       "<div id=\"ldavis_el201242414742031824608002222\"></div>\n",
       "<script type=\"text/javascript\">\n",
       "\n",
       "var ldavis_el201242414742031824608002222_data = {\"mdsDat\": {\"x\": [0.0499014451163699, -0.1049196987283805, 0.04810336581513667, 0.16582309200385648, -0.10413731928710399, -0.054770884919878554], \"y\": [0.06732927018056943, 0.009948747641937414, -0.17412449194429924, 0.04562148400816694, -0.02634397993725202, 0.07756897005087744], \"topics\": [1, 2, 3, 4, 5, 6], \"cluster\": [1, 1, 1, 1, 1, 1], \"Freq\": [21.371414297952693, 17.090999042734914, 16.868310336575032, 16.306819585413336, 15.850670967266133, 12.511785770057898]}, \"tinfo\": {\"Term\": [\"\\uccad\\uc18c\\ub144\", \"\\ubd81\\ud55c\", \"\\ub300\\ud1b5\\ub839\", \"\\ud559\\uc0dd\", \"\\uc544\\uc774\", \"\\ubb38\\uc7ac\\uc778\", \"\\ud559\\uad50\", \"\\uacbd\\ucc30\", \"\\uad50\\uc0ac\", \"\\ubc94\\uc8c4\", \"\\ubcf4\\ud638\", \"\\ub7ec\\uc2dc\\uc544\", \"\\uc0ac\\uc5c5\", \"\\ubbfc\\uc6d0\", \"\\ud53c\\ud574\\uc790\", \"\\uc815\\ubd80\", \"\\uc0ac\\uac74\", \"\\ucc98\\ubc8c\", \"\\uad50\\uc721\", \"\\ud55c\\uad6d\", 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       "\n",
       "function LDAvis_load_lib(url, callback){\n",
       "  var s = document.createElement('script');\n",
       "  s.src = url;\n",
       "  s.async = true;\n",
       "  s.onreadystatechange = s.onload = callback;\n",
       "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
       "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "}\n",
       "\n",
       "if(typeof(LDAvis) !== \"undefined\"){\n",
       "   // already loaded: just create the visualization\n",
       "   !function(LDAvis){\n",
       "       new LDAvis(\"#\" + \"ldavis_el201242414742031824608002222\", ldavis_el201242414742031824608002222_data);\n",
       "   }(LDAvis);\n",
       "}else if(typeof define === \"function\" && define.amd){\n",
       "   // require.js is available: use it to load d3/LDAvis\n",
       "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
       "   require([\"d3\"], function(d3){\n",
       "      window.d3 = d3;\n",
       "      LDAvis_load_lib(\"https://cdn.jsdelivr.net/gh/bmabey/pyLDAvis@3.3.1/pyLDAvis/js/ldavis.v3.0.0.js\", function(){\n",
       "        new LDAvis(\"#\" + \"ldavis_el201242414742031824608002222\", ldavis_el201242414742031824608002222_data);\n",
       "      });\n",
       "    });\n",
       "}else{\n",
       "    // require.js not available: dynamically load d3 & LDAvis\n",
       "    LDAvis_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
       "         LDAvis_load_lib(\"https://cdn.jsdelivr.net/gh/bmabey/pyLDAvis@3.3.1/pyLDAvis/js/ldavis.v3.0.0.js\", function(){\n",
       "                 new LDAvis(\"#\" + \"ldavis_el201242414742031824608002222\", ldavis_el201242414742031824608002222_data);\n",
       "            })\n",
       "         });\n",
       "}\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pyLDAvis\n",
    "pyLDAvis.enable_notebook()\n",
    "\n",
    "# 특정 time slice의 토픽분포를 시각화 - ldaseq.dtm_vis() 메서드를 이용\n",
    "doc_topic, topic_term, doc_lengths, term_frequency, vocab = ldaseq.dtm_vis(time=0, corpus=corpus)\n",
    "vis_dtm = pyLDAvis.prepare(topic_term_dists=topic_term, doc_topic_dists=doc_topic, doc_lengths=doc_lengths, vocab=vocab, term_frequency=term_frequency)\n",
    "pyLDAvis.display(vis_dtm) #결과를 출력\n",
    "#pyLDAvis.save_html(vis_dtm, 'lda_time0.html')) #결과를 별도의 html 파일로 저장"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "edcdad9d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\" type=\"text/css\" href=\"https://cdn.jsdelivr.net/gh/bmabey/pyLDAvis@3.3.1/pyLDAvis/js/ldavis.v1.0.0.css\">\n",
       "\n",
       "\n",
       "<div id=\"ldavis_el2012424147420320481281715206\"></div>\n",
       "<script type=\"text/javascript\">\n",
       "\n",
       "var ldavis_el2012424147420320481281715206_data = {\"mdsDat\": {\"x\": [0.05138006656303268, -0.10506465033507183, 0.04615257056724566, 0.16674925990824466, -0.10333076309449085, -0.0558864836089602], \"y\": [0.04203768372693598, 0.022522926700419044, -0.171057851360289, 0.05481805164386824, -0.03896197034055311, 0.09064115962961877], \"topics\": [1, 2, 3, 4, 5, 6], \"cluster\": [1, 1, 1, 1, 1, 1], \"Freq\": [21.371414297952693, 17.090999042734914, 16.868310336575032, 16.306819585413336, 15.850670967266133, 12.511785770057898]}, \"tinfo\": {\"Term\": [\"\\uccad\\uc18c\\ub144\", \"\\ud559\\uc0dd\", \"\\uc544\\uc774\", \"\\ubd81\\ud55c\", \"\\ud559\\uad50\", \"\\ub300\\ud1b5\\ub839\", \"\\ubb38\\uc7ac\\uc778\", \"\\ubc94\\uc8c4\", \"\\uacbd\\ucc30\", \"\\ubbfc\\uc6d0\", \"\\ubcf4\\ud638\", \"\\uc0ac\\uac74\", \"\\ud53c\\ud574\\uc790\", \"\\ucc98\\ubc8c\", \"\\uc0ac\\uc5c5\", \"\\uc815\\ubd80\", \"\\uad50\\uc0ac\", \"\\ubcf4\\ud5d8\", \"\\ud3d0\\uc9c0\", \"\\uad50\\uc721\", 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\"\\ud761\\uc5f0\"]}, \"R\": 30, \"lambda.step\": 0.01, \"plot.opts\": {\"xlab\": \"PC1\", \"ylab\": \"PC2\"}, \"topic.order\": [2, 3, 6, 5, 1, 4]};\n",
       "\n",
       "function LDAvis_load_lib(url, callback){\n",
       "  var s = document.createElement('script');\n",
       "  s.src = url;\n",
       "  s.async = true;\n",
       "  s.onreadystatechange = s.onload = callback;\n",
       "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
       "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "}\n",
       "\n",
       "if(typeof(LDAvis) !== \"undefined\"){\n",
       "   // already loaded: just create the visualization\n",
       "   !function(LDAvis){\n",
       "       new LDAvis(\"#\" + \"ldavis_el2012424147420320481281715206\", ldavis_el2012424147420320481281715206_data);\n",
       "   }(LDAvis);\n",
       "}else if(typeof define === \"function\" && define.amd){\n",
       "   // require.js is available: use it to load d3/LDAvis\n",
       "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
       "   require([\"d3\"], function(d3){\n",
       "      window.d3 = d3;\n",
       "      LDAvis_load_lib(\"https://cdn.jsdelivr.net/gh/bmabey/pyLDAvis@3.3.1/pyLDAvis/js/ldavis.v3.0.0.js\", function(){\n",
       "        new LDAvis(\"#\" + \"ldavis_el2012424147420320481281715206\", ldavis_el2012424147420320481281715206_data);\n",
       "      });\n",
       "    });\n",
       "}else{\n",
       "    // require.js not available: dynamically load d3 & LDAvis\n",
       "    LDAvis_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
       "         LDAvis_load_lib(\"https://cdn.jsdelivr.net/gh/bmabey/pyLDAvis@3.3.1/pyLDAvis/js/ldavis.v3.0.0.js\", function(){\n",
       "                 new LDAvis(\"#\" + \"ldavis_el2012424147420320481281715206\", ldavis_el2012424147420320481281715206_data);\n",
       "            })\n",
       "         });\n",
       "}\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "doc_topic, topic_term, doc_lengths, term_frequency, vocab = ldaseq.dtm_vis(time=1, corpus=corpus)\n",
    "vis_dtm = pyLDAvis.prepare(topic_term_dists=topic_term, doc_topic_dists=doc_topic, doc_lengths=doc_lengths, vocab=vocab, term_frequency=term_frequency)\n",
    "pyLDAvis.display(vis_dtm)\n",
    "#pyLDAvis.save_html(vis_dtm, 'lda_time1.html')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "44e3a97d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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