notebooks/1.0-subtopic-modeling-en.ipynb

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   "outputs": [],
   "source": [
    "import os\n",
    "import pickle\n",
    "import pandas as pd\n",
    "from bertopic import BERTopic\n",
    "from nltk.corpus import stopwords\n",
    "from sklearn.feature_extraction.text import CountVectorizer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 43,
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    "outputId": "aba2c363-de03-43b3-a1ad-e8ff6eb245e9"
   },
   "outputs": [],
   "source": [
    "import nltk\n",
    "nltk.download('stopwords')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "oFBqNc5Ph9Po"
   },
   "source": [
    "# Data Loading"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {
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     "timestamp": 1670565663059,
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      "displayName": "Andreea Iana",
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    },
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_filepath = '../data/cache/en/corpus_processed.csv'\n",
    "os.path.isfile(data_filepath)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 652
    },
    "executionInfo": {
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    "outputId": "387a9ab3-318a-49c2-ea21-6140dbdd4f9c"
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   "outputs": [],
   "source": [
    "data = pd.read_csv(data_filepath)\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
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    "executionInfo": {
     "elapsed": 16,
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     "timestamp": 1670565668039,
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "10814"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "documents = data['body'].tolist()\n",
    "len(documents)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "DauRcvqukC0K"
   },
   "source": [
    "# Training\n",
    "\n",
    "\n",
    "\n",
    "*   Language: `english` (`multilingual` for multi-lingual model)\n",
    "*   Calculate topic probabilities "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "executionInfo": {
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   "outputs": [],
   "source": [
    "# Instantiate the model\n",
    "vectorizer_model = CountVectorizer(ngram_range=(1, 2), stop_words=\"english\")\n",
    "\n",
    "topic_model = BERTopic(\n",
    "    language='english', \n",
    "    top_n_words=10, # number of words per topic that should be extracted\n",
    "    min_topic_size=15, # specifies what the minimum size of a topic can be\n",
    "    calculate_probabilities=True, \n",
    "    vectorizer_model=vectorizer_model,\n",
    "    verbose=True\n",
    "    )"
   ]
  },
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    },
    "executionInfo": {
     "elapsed": 1743891,
     "status": "ok",
     "timestamp": 1670567411919,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
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     "user_tz": -60
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    "id": "vxSHc3dFifU3",
    "outputId": "9c8eaf6b-e947-4f13-fb16-e1d301495ade"
   },
   "outputs": [],
   "source": [
    "# Train the model\n",
    "topics, probs = topic_model.fit_transform(documents)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "zJDu9ISokUUl"
   },
   "source": [
    "## Extracting Topics\n",
    "\n",
    "-1 refers to all outliers and should typically be ignored"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "executionInfo": {
     "elapsed": 16,
     "status": "ok",
     "timestamp": 1670567411920,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "AV21GQMkifXj"
   },
   "outputs": [],
   "source": [
    "freq = topic_model.get_topic_info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 16,
     "status": "ok",
     "timestamp": 1670567411921,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "OEFOIMpQifZx",
    "outputId": "ef4733cd-48db-49a9-fc81-21a8b64a57ab"
   },
   "outputs": [],
   "source": [
    "# Total number of identified topics\n",
    "len(freq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 676
    },
    "executionInfo": {
     "elapsed": 14,
     "status": "ok",
     "timestamp": 1670567411921,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "ieT9IAlDifb_",
    "outputId": "f3120bad-58d8-4614-a0ad-d13ae8ad2dbb"
   },
   "outputs": [],
   "source": [
    "# Most frequent topics\n",
    "freq.head(20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 14,
     "status": "ok",
     "timestamp": 1670567411922,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "tl9ift3jifg_",
    "outputId": "751407f1-be66-4f51-e9d9-0f23014d81b8"
   },
   "outputs": [],
   "source": [
    "# Select the most frequent topic\n",
    "topic_model.get_topic(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "sxEqj7ahk0tS"
   },
   "source": [
    "**NOTE**: BERTopic is stochastic which means that the topics might differ across runs. This is mostly due to the stocastisch nature of UMAP."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "POKhBONOk5DO"
   },
   "source": [
    "## Custom labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 12,
     "status": "ok",
     "timestamp": 1670567411922,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "9Qf-m8zkkiAM",
    "outputId": "ee919a0d-5d63-41e9-9845-4c15c0ee026b"
   },
   "outputs": [],
   "source": [
    "topic_labels = topic_model.generate_topic_labels(nr_words=7,\n",
    "                                                 topic_prefix=True,\n",
    "                                                 word_length=15,\n",
    "                                                 separator=\", \")\n",
    "topic_labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "executionInfo": {
     "elapsed": 11,
     "status": "ok",
     "timestamp": 1670567411923,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "Kp_JSvx7kiC2"
   },
   "outputs": [],
   "source": [
    "topic_model.set_topic_labels(topic_labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "eF-P4N9PlDEV"
   },
   "source": [
    "## **Visualization**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 667
    },
    "executionInfo": {
     "elapsed": 70879,
     "status": "ok",
     "timestamp": 1670567483596,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "4crjTaIrkiF-",
    "outputId": "415c3ffc-d390-44e9-ab3c-ddc0d9bdf0a4"
   },
   "outputs": [],
   "source": [
    "topic_model.visualize_topics()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "zmc73TehlTuI"
   },
   "source": [
    "### Visualize Topic Hierarchy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 967
    },
    "executionInfo": {
     "elapsed": 24,
     "status": "ok",
     "timestamp": 1670567483597,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "jI1JxtyRkiIa",
    "outputId": "c2db789b-c63b-4473-863c-41743eefec37"
   },
   "outputs": [],
   "source": [
    "topic_model.visualize_hierarchy(top_n_topics=50, custom_labels=topic_labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "wYD5JVTSlj1h"
   },
   "source": [
    "#### Hierarchical labels\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 34384,
     "status": "ok",
     "timestamp": 1670567517959,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "u3Xk7B7ckiKo",
    "outputId": "babe7fc4-cf1f-45f8-b8a2-4c00cbbf90e0"
   },
   "outputs": [],
   "source": [
    "hierarchical_topics = topic_model.hierarchical_topics(documents)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "executionInfo": {
     "elapsed": 2561,
     "status": "ok",
     "timestamp": 1670567520505,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "ugTiTlUGkiMu",
    "outputId": "52075ae2-d137-467c-8669-07bdde572b64"
   },
   "outputs": [],
   "source": [
    "topic_model.visualize_hierarchy(hierarchical_topics=hierarchical_topics, custom_labels=topic_labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "CnvtUUyllvwk"
   },
   "source": [
    "#### Text-based topic tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 7,
     "status": "ok",
     "timestamp": 1670567520506,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "MBqHU_kYkiPj",
    "outputId": "f138e2f9-1336-42f1-9883-ec7b1edea9cf"
   },
   "outputs": [],
   "source": [
    "tree = topic_model.get_topic_tree(hierarchical_topics)\n",
    "print(tree)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "if2Nsptll1r1"
   },
   "source": [
    "### Visualize Terms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "executionInfo": {
     "elapsed": 491,
     "status": "ok",
     "timestamp": 1670567520992,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "3RtSN1pYkiRR",
    "outputId": "0b8ff731-abc8-441c-f4ad-5117b037dd5f"
   },
   "outputs": [],
   "source": [
    "topic_model.visualize_barchart(top_n_topics=20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ONRZxBdjl-j7"
   },
   "source": [
    "### Visualize Topic Similarity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "executionInfo": {
     "elapsed": 817,
     "status": "ok",
     "timestamp": 1670567521807,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "zx1iHFm9l3Yp",
    "outputId": "459d060c-5199-4f77-9815-17d437a0dd48"
   },
   "outputs": [],
   "source": [
    "topic_model.visualize_heatmap(n_clusters=20, width=1000, height=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "u5hAJeA4mX3p"
   },
   "source": [
    "## **Topic Representation**\n",
    "\n",
    "Fine-tune the model after initial training. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "72jnU5XfmcSX"
   },
   "source": [
    "### Topic Reduction\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "executionInfo": {
     "elapsed": 406,
     "status": "ok",
     "timestamp": 1670569702271,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "dovfoJm0-VXp"
   },
   "outputs": [],
   "source": [
    "reduced_topic_model = BERTopic(\n",
    "    language='english', \n",
    "    top_n_words=10, # number of words per topic that should be extracted\n",
    "    min_topic_size=15, # specifies what the minimum size of a topic can be\n",
    "    calculate_probabilities=True, \n",
    "    vectorizer_model=vectorizer_model,\n",
    "    nr_topics=40,\n",
    "    verbose=True\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 118,
     "referenced_widgets": [
      "84cc13aaaa484e0bb82714b25aadc547",
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      "f6c956805643418393afc7f9a9443c7d",
      "7c18406c653247febbfb694bb6265cd7",
      "e72fce0b7d73400abf59e782979338e7",
      "37862c978ae24676bc75ed1760498db7",
      "6b751f3c09e846c99cb44121022282e8",
      "4c680868a4094328af74c1c9593a9770",
      "dbe3616b7a4441b3b5aaa3ee348ada2a",
      "86e024eb744d48a2b4095602d76c353f"
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    },
    "executionInfo": {
     "elapsed": 1632246,
     "status": "ok",
     "timestamp": 1670571336881,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "gKa8g3kY-hQe",
    "outputId": "5a64f2dd-fb76-42fe-f929-1ee282722252"
   },
   "outputs": [],
   "source": [
    "updated_topics, updated_probs = reduced_topic_model.fit_transform(documents)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "executionInfo": {
     "elapsed": 44,
     "status": "ok",
     "timestamp": 1670571336882,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "HNhHtrITl3iJ",
    "outputId": "c2fd4c8f-6752-4a40-cdbf-fb2b7df6c448"
   },
   "outputs": [],
   "source": [
    "freq = reduced_topic_model.get_topic_info()\n",
    "freq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 11,
     "status": "ok",
     "timestamp": 1670571336882,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "BKINq5D6kiWQ",
    "outputId": "e48e6fbd-dd9e-43d5-8495-6634efdf8941"
   },
   "outputs": [],
   "source": [
    "updated_topic_labels = reduced_topic_model.generate_topic_labels(nr_words=7,\n",
    "                                                 topic_prefix=True,\n",
    "                                                 word_length=15,\n",
    "                                                 separator=\", \")\n",
    "updated_topic_labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "BCCdvtFwnH00"
   },
   "source": [
    "## Analysis Updated Topics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 667
    },
    "executionInfo": {
     "elapsed": 15063,
     "status": "ok",
     "timestamp": 1670571351937,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "Pc3tVS8Wm6Kb",
    "outputId": "30ab41b6-d5ec-405f-f51a-bccb5811c63a"
   },
   "outputs": [],
   "source": [
    "reduced_topic_model.visualize_topics()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 834
    },
    "executionInfo": {
     "elapsed": 31306,
     "status": "ok",
     "timestamp": 1670571440116,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "VnmH08WJm6M3",
    "outputId": "e8baef07-dcc0-4a87-db58-a49c69082b9d"
   },
   "outputs": [],
   "source": [
    "new_hierarchical_topics = reduced_topic_model.hierarchical_topics(documents)\n",
    "reduced_topic_model.visualize_hierarchy(hierarchical_topics=new_hierarchical_topics, custom_labels=updated_topic_labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "executionInfo": {
     "elapsed": 40,
     "status": "ok",
     "timestamp": 1670571440117,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "i-WjgIJmm6Oz",
    "outputId": "0bd3f914-ccd0-4fbf-9fde-d6c9b3464724"
   },
   "outputs": [],
   "source": [
    "reduced_topic_model.visualize_barchart(top_n_topics=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "executionInfo": {
     "elapsed": 326,
     "status": "ok",
     "timestamp": 1670571440409,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "KO8YXygZm6RH",
    "outputId": "80558448-eab6-4fee-d0bf-2115b7f221ee"
   },
   "outputs": [],
   "source": [
    "reduced_topic_model.visualize_heatmap(n_clusters=5, width=1000, height=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "jaOpodsGnVD8"
   },
   "source": [
    "## **Model serialization**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "executionInfo": {
     "elapsed": 50223,
     "status": "ok",
     "timestamp": 1670571703558,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "NFFHttZtnUY9"
   },
   "outputs": [],
   "source": [
    "model_filepath = '../data/cache/en/topic_model'\n",
    "\n",
    "# Save model\n",
    "reduced_topic_model.save(model_filepath)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "pdrOrqIxn3OC"
   },
   "source": [
    "# Annotated dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 424
    },
    "executionInfo": {
     "elapsed": 47,
     "status": "ok",
     "timestamp": 1670571703559,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "m3DZ1DiUnUch",
    "outputId": "70eb2acd-d098-43d2-ab2e-eb1baf174347"
   },
   "outputs": [],
   "source": [
    "df = pd.DataFrame({\"id\": data.id.to_list(), \"topic\": updated_topics})\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 424
    },
    "executionInfo": {
     "elapsed": 12,
     "status": "ok",
     "timestamp": 1670571703559,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "QvvcaQRL_ATK",
    "outputId": "a5a49a2c-7684-4d42-b301-7d702ca62166"
   },
   "outputs": [],
   "source": [
    "df['topic_label'] = df['topic'].apply(lambda x: reduced_topic_model.topic_labels_[x])\n",
    "df['topic_label'] = df['topic_label'].apply(lambda x: '_'.join(x.split('_')[1:]))\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 11,
     "status": "ok",
     "timestamp": 1670571703559,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "FJ7hn98V_FJK",
    "outputId": "248fcd9e-6c22-4cb4-f6fa-21e5004a3654"
   },
   "outputs": [],
   "source": [
    "reduced_topic_model.topic_sizes_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "executionInfo": {
     "elapsed": 8,
     "status": "ok",
     "timestamp": 1670571703560,
     "user": {
      "displayName": "Andreea Iana",
      "userId": "12230518054711078820"
     },
     "user_tz": -60
    },
    "id": "lY03l-9DkiY5"
   },
   "outputs": [],
   "source": [
    "df.to_csv('../data/cache/en/subtopic_annotations.csv', index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "tnjkqAUF1Reo"
   },
   "outputs": [],
   "source": []
  }
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