From 58020836e92e22b5d58aeb5beb80c1f387134db6 Mon Sep 17 00:00:00 2001
From: Filip Johnsson <filjo653@student.liu.se>
Date: Mon, 2 Dec 2024 10:20:14 +0100
Subject: [PATCH] update

---
 l4/TM-Lab4.ipynb    | 130 +++++++++++++++++++++++++++++++++-----------
 l4/requirements.txt |  84 ++++++++++++++++++++++++++++
 2 files changed, 183 insertions(+), 31 deletions(-)
 create mode 100644 l4/requirements.txt

diff --git a/l4/TM-Lab4.ipynb b/l4/TM-Lab4.ipynb
index d77c32a..ed0c571 100644
--- a/l4/TM-Lab4.ipynb
+++ b/l4/TM-Lab4.ipynb
@@ -45,7 +45,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 71,
    "metadata": {
     "deletable": false,
     "editable": false,
@@ -87,7 +87,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 72,
    "metadata": {
     "deletable": false,
     "editable": false,
@@ -120,7 +120,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 73,
    "metadata": {},
    "outputs": [
     {
@@ -200,7 +200,7 @@
        "4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         i loved these movies , and i cant wiat for the third one ! very funny , not suitable for chilren  "
       ]
      },
-     "execution_count": 15,
+     "execution_count": 73,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -239,7 +239,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 74,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -334,7 +334,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 75,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -379,7 +379,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 76,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -424,12 +424,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 77,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -459,7 +459,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 78,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -518,7 +518,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 79,
    "metadata": {
     "tags": [
      "solution"
@@ -529,9 +529,9 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Cluster 0: product, movie, use, great, just, like, good, does, time, did\n",
-      "Cluster 1: camera, lens, pictures, canon, digital, use, flash, battery, quality, great\n",
-      "Cluster 2: book, album, cd, quot, music, songs, like, read, song, just\n"
+      "Cluster 0: product, use, software, does, program, used, great, easy, work, just\n",
+      "Cluster 1: book, movie, like, album, cd, just, music, great, good, quot\n",
+      "Cluster 2: camera, lens, pictures, canon, digital, use, flash, battery, quality, great\n"
      ]
     }
    ],
@@ -580,7 +580,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 80,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -601,7 +601,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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",
+      "image/png": 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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -665,7 +665,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 81,
    "metadata": {},
    "outputs": [
     {
@@ -719,7 +719,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 82,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -729,7 +729,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 30,
+   "execution_count": 83,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -778,7 +778,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 84,
    "metadata": {
     "deletable": false,
     "editable": false,
@@ -836,7 +836,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 85,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -871,8 +871,26 @@
     "    Returns:\n",
     "        The trained LDA model.\n",
     "    \"\"\"\n",
-    "    # YOUR CODE HERE\n",
-    "    raise NotImplementedError()"
+    "\n",
+    "    dictionary = Dictionary(documents)\n",
+    "    temp = dictionary[0]  # Load the dictionary\n",
+    "\n",
+    "    id2word = dictionary.id2token\n",
+    "    corpus = [dictionary.doc2bow(doc) for doc in documents]\n",
+    "\n",
+    "    model = LdaModel(\n",
+    "        corpus=corpus,\n",
+    "        id2word=id2word,\n",
+    "        chunksize=2000,\n",
+    "        alpha='auto',\n",
+    "        eta='auto',\n",
+    "        iterations=400,\n",
+    "        num_topics=num_topics,\n",
+    "        passes=passes,\n",
+    "        eval_every=None\n",
+    "    )\n",
+    "\n",
+    "    return model"
    ]
   },
   {
@@ -886,9 +904,39 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 86,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[(0,\n",
+       "  '0.009*\"people\" + 0.008*\"years\" + 0.008*\"community\" + 0.008*\"americans\" + 0.007*\"new\" + 0.007*\"year\" + 0.007*\"million\" + 0.006*\"let\" + 0.006*\"states\" + 0.006*\"congress\"'),\n",
+       " (1,\n",
+       "  '0.013*\"american\" + 0.012*\"children\" + 0.008*\"year\" + 0.008*\"security\" + 0.007*\"people\" + 0.006*\"new\" + 0.006*\"covenant\" + 0.006*\"social\" + 0.005*\"bosnia\" + 0.005*\"world\"'),\n",
+       " (2,\n",
+       "  '0.009*\"work\" + 0.009*\"new\" + 0.008*\"congress\" + 0.008*\"year\" + 0.008*\"security\" + 0.006*\"america\" + 0.006*\"let\" + 0.005*\"people\" + 0.005*\"pass\" + 0.005*\"responsibility\"'),\n",
+       " (3,\n",
+       "  '0.020*\"care\" + 0.016*\"health\" + 0.009*\"government\" + 0.009*\"new\" + 0.008*\"people\" + 0.008*\"medicare\" + 0.007*\"americans\" + 0.007*\"years\" + 0.006*\"need\" + 0.006*\"american\"'),\n",
+       " (4,\n",
+       "  '0.010*\"people\" + 0.010*\"years\" + 0.008*\"year\" + 0.007*\"government\" + 0.006*\"ask\" + 0.006*\"american\" + 0.006*\"work\" + 0.005*\"budget\" + 0.005*\"congress\" + 0.005*\"cut\"'),\n",
+       " (5,\n",
+       "  '0.022*\"america\" + 0.014*\"work\" + 0.013*\"people\" + 0.009*\"congress\" + 0.008*\"welfare\" + 0.008*\"tonight\" + 0.008*\"americans\" + 0.008*\"world\" + 0.008*\"years\" + 0.007*\"year\"'),\n",
+       " (6,\n",
+       "  '0.012*\"years\" + 0.010*\"budget\" + 0.007*\"americans\" + 0.007*\"year\" + 0.006*\"world\" + 0.006*\"century\" + 0.006*\"new\" + 0.006*\"congress\" + 0.005*\"america\" + 0.005*\"support\"'),\n",
+       " (7,\n",
+       "  '0.016*\"new\" + 0.012*\"people\" + 0.009*\"world\" + 0.009*\"help\" + 0.009*\"america\" + 0.008*\"work\" + 0.006*\"peace\" + 0.006*\"year\" + 0.006*\"challenge\" + 0.005*\"nations\"'),\n",
+       " (8,\n",
+       "  '0.015*\"america\" + 0.012*\"people\" + 0.012*\"schools\" + 0.012*\"new\" + 0.010*\"children\" + 0.010*\"parents\" + 0.009*\"world\" + 0.009*\"education\" + 0.009*\"help\" + 0.008*\"century\"'),\n",
+       " (9,\n",
+       "  '0.012*\"new\" + 0.010*\"children\" + 0.010*\"america\" + 0.008*\"thank\" + 0.008*\"congress\" + 0.007*\"work\" + 0.006*\"years\" + 0.006*\"college\" + 0.006*\"year\" + 0.006*\"people\"')]"
+      ]
+     },
+     "execution_count": 86,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "model = train_lda_model(documents, 10)\n",
     "model.print_topics()"
@@ -919,7 +967,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 87,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -942,7 +990,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 88,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -973,9 +1021,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 91,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[]\n"
+     ]
+    }
+   ],
    "source": [
     "clear_logfile()\n",
     "model = train_lda_model(documents, 10, passes=1)\n",
@@ -994,7 +1050,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 90,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -1009,7 +1065,19 @@
      "task": false
     }
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "ename": "NotImplementedError",
+     "evalue": "",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mNotImplementedError\u001b[0m                       Traceback (most recent call last)",
+      "Cell \u001b[0;32mIn[90], line 2\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[39m# YOUR CODE HERE\u001b[39;00m\n\u001b[0;32m----> 2\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mNotImplementedError\u001b[39;00m()\n",
+      "\u001b[0;31mNotImplementedError\u001b[0m: "
+     ]
+    }
+   ],
    "source": [
     "# YOUR CODE HERE\n",
     "raise NotImplementedError()"
diff --git a/l4/requirements.txt b/l4/requirements.txt
new file mode 100644
index 0000000..187b525
--- /dev/null
+++ b/l4/requirements.txt
@@ -0,0 +1,84 @@
+annotated-types==0.7.0
+asttokens==2.4.1
+blis==1.0.1
+catalogue==2.0.10
+certifi==2024.8.30
+charset-normalizer==3.4.0
+click==8.1.7
+cloudpathlib==0.20.0
+comm==0.2.2
+confection==0.1.5
+contourpy==1.3.1
+cycler==0.12.1
+cymem==2.0.10
+debugpy==1.8.9
+decorator==5.1.1
+en_core_web_sm @ https://github.com/explosion/spacy-models/releases/download/en_core_web_sm-3.8.0/en_core_web_sm-3.8.0-py3-none-any.whl
+exceptiongroup==1.2.2
+executing==2.1.0
+fonttools==4.55.0
+gensim==4.3.3
+idna==3.10
+ipykernel==6.29.5
+ipython==8.29.0
+jedi==0.19.2
+Jinja2==3.1.4
+joblib==1.4.2
+jupyter_client==8.6.3
+jupyter_core==5.7.2
+kiwisolver==1.4.7
+langcodes==3.5.0
+language_data==1.3.0
+marisa-trie==1.2.1
+markdown-it-py==3.0.0
+MarkupSafe==3.0.2
+matplotlib==3.9.2
+matplotlib-inline==0.1.7
+mdurl==0.1.2
+murmurhash==1.0.11
+nest-asyncio==1.6.0
+numpy==2.0.2
+packaging==24.2
+pandas==2.2.3
+parso==0.8.4
+pexpect==4.9.0
+pillow==11.0.0
+platformdirs==4.3.6
+preshed==3.0.9
+prompt_toolkit==3.0.48
+psutil==6.1.0
+ptyprocess==0.7.0
+pure_eval==0.2.3
+pydantic==2.10.2
+pydantic_core==2.27.1
+Pygments==2.18.0
+pyparsing==3.2.0
+python-dateutil==2.9.0.post0
+pytz==2024.2
+pyzmq==26.2.0
+requests==2.32.3
+rich==13.9.4
+scikit-learn==1.5.2
+scipy==1.13.1
+seaborn==0.13.2
+shellingham==1.5.4
+six==1.16.0
+smart-open==7.0.5
+spacy==3.8.2
+spacy-legacy==3.0.12
+spacy-loggers==1.0.5
+srsly==2.4.8
+stack-data==0.6.3
+thinc==8.3.2
+threadpoolctl==3.5.0
+tornado==6.4.2
+tqdm==4.67.1
+traitlets==5.14.3
+typer==0.13.1
+typing_extensions==4.12.2
+tzdata==2024.2
+urllib3==2.2.3
+wasabi==1.1.3
+wcwidth==0.2.13
+weasel==0.4.1
+wrapt==1.17.0
-- 
GitLab