Exp_21_Simple_topic_modelling_ex.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5d5df2e3",
   "metadata": {},
   "source": [
    "# Simple Topic Modelling with pseudo tfidf vectors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fd71d0eb",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "topic = {}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "342068bb",
   "metadata": {},
   "outputs": [],
   "source": [
    "tfidf = dict(list(zip('cat dog apple lion NYC love'.split(),np.random.rand(6))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ca68ee71",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'cat': 0.1873004591864753,\n",
       " 'dog': 0.4988266967285051,\n",
       " 'apple': 0.8054188593463358,\n",
       " 'lion': 0.6453099679313762,\n",
       " 'NYC': 0.15824575574829447,\n",
       " 'love': 0.9542233390503292}"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tfidf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fe458fcf",
   "metadata": {},
   "outputs": [],
   "source": [
    "topic['petness'] = (.3 * tfidf['cat'] +\n",
    "                    .3 * tfidf['dog'] + \n",
    "                    0 * tfidf['apple'] +\n",
    "                    0 * tfidf['lion'] -\n",
    "                    .2 * tfidf['NYC'] +\n",
    "                    .2 * tfidf['love'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "91f177f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'petness': 0.36503366343490107}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "topic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "318dd47d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'petness': 0.36503366343490107, 'animalness': 0.23112805529234914}"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "topic['animalness'] = (.1 * tfidf['cat'] +\n",
    "                       .1 * tfidf['dog'] -\n",
    "                       .1 * tfidf['apple'] +\n",
    "                       .5 * tfidf['lion'] +\n",
    "                       .1 * tfidf['NYC'] -\n",
    "                       .1 * tfidf['love'])\n",
    "topic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ff246ebc",
   "metadata": {},
   "outputs": [],
   "source": [
    "topic['cityness'] = (0 * tfidf['cat'] -\n",
    "                     .1 * tfidf['dog'] +\n",
    "                     .2 * tfidf['apple'] -\n",
    "                     .1 * tfidf['lion'] +\n",
    "                     .5 * tfidf['NYC'] +\n",
    "                     .1 * tfidf['love'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ffc2cb86",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'petness': 0.36503366343490107,\n",
       " 'animalness': 0.23112805529234914,\n",
       " 'cityness': 0.22121531718245918}"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "topic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b1916d70",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'cow': 0.23497820633242317,\n",
       " 'exam': 0.14242446880834236,\n",
       " 'study': 0.41423791511144226,\n",
       " 'books': 0.5592865506610379,\n",
       " 'plants': 0.9745347166139849,\n",
       " 'space': 0.7089535090868263}"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tfidf = dict(list(zip('cow exam study books plants space'.split(),np.random.rand(6))))\n",
    "tfidf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "1a33ed27",
   "metadata": {},
   "outputs": [],
   "source": [
    "topic_my = {}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "1e602531",
   "metadata": {},
   "outputs": [],
   "source": [
    "topic_my['university'] = (0*tfidf['cow'] +\n",
    "                         0.4* tfidf['exam']+\n",
    "                          0.2*tfidf['study']+\n",
    "                          0.2*tfidf['books']+\n",
    "                          0.1*tfidf['plants']+\n",
    "                          0.1*tfidf['space']\n",
    "                         )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "3d7fe0bd",
   "metadata": {},
   "outputs": [],
   "source": [
    "topic_my['garden'] = (0.1* tfidf['cow']-\n",
    "                     0.2*tfidf['exam']+\n",
    "                     0.1*tfidf['study']+\n",
    "                     0.1*tfidf['books']+\n",
    "                     0.5*tfidf['plants']+\n",
    "                     0.2*tfidf['space'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "95af1cce",
   "metadata": {},
   "outputs": [],
   "source": [
    "topic_my['satellite'] = (0.0* tfidf['cow']+\n",
    "                     0.1*tfidf['exam']+\n",
    "                     0.1*tfidf['study']+\n",
    "                     0.1*tfidf['books']-\n",
    "                     0.2*tfidf['plants']+\n",
    "                     0.5*tfidf['space'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "14b96bd5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'university': 0.42002350324791415,\n",
       " 'garden': 0.7214234335731796,\n",
       " 'satellite': 0.2711647046786984}"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "topic_my"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d06e86d7",
   "metadata": {},
   "source": [
    "# Q. What is the relation between the three: topics, (0.1,0.2..) and the tfidf vectors"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ec64052",
   "metadata": {},
   "source": [
    "## Input is tfidf vectors\n",
    "# Output is topic vectors\n",
    "## What are these numbers called (0.1,0.2,0.5......)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a5d87a2",
   "metadata": {},
   "source": [
    "### They are called . . . . . ....................................."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24a1a69d",
   "metadata": {},
   "source": [
    "# Importance parameters or values or engineering .. . . ."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "47f231df",
   "metadata": {},
   "source": [
    "# ..\n",
    "# ..\n",
    "# ..\n",
    "# ..\n",
    "# ..\n",
    "# .."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba900869",
   "metadata": {},
   "source": [
    "# Weights"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec754a02",
   "metadata": {},
   "source": [
    "# TV = W*tfidf"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6379dfa0",
   "metadata": {},
   "source": [
    "# 3 by 1 = 3 by 6  6 by 1\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "18a82380",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(topic_my)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "b0c1456b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(tfidf)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a9279fda",
   "metadata": {},
   "source": [
    "# My weight matrix is 3 by 6"
   ]
  },
  {
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    }
   },
   "cell_type": "markdown",
   "id": "fc401f93",
   "metadata": {},
   "source": [
    "![Picture1.jpg](attachment:Picture1.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9efb24f6",
   "metadata": {},
   "source": [
    "# Q1. How can we decide on weights?\n",
    "## OR \n",
    "# Q2. Who will decide on what should be the weight for a topic?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d058ac09",
   "metadata": {},
   "source": [
    "# ALM_1: select 7 words and create a random topic vector for 4 topics. Use hand crafted weights as required by each topic. Express how you arrived at the marked weights for a particular word to create a topic vector. How you might chage them based on your instructurs opinion. What could you use as a objctive measure of these weights? If you use a negative sign for the weight, what does this mean in relation to a topic vector."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "68c0a9af",
   "metadata": {},
   "source": [
    "# What happens if the weight matrix is transposed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "ad5243c4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['cow', 'exam', 'study', 'books', 'plants', 'space'])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tfidf.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "2af14e20",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_values([0.23497820633242317, 0.14242446880834236, 0.41423791511144226, 0.5592865506610379, 0.9745347166139849, 0.7089535090868263])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tfidf.values()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "5974e8c6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.23497820633242317,\n",
       " 0.14242446880834236,\n",
       " 0.41423791511144226,\n",
       " 0.5592865506610379,\n",
       " 0.9745347166139849,\n",
       " 0.7089535090868263]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tfidf_lst = list(tfidf.values())\n",
    "tfidf_lst"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "c5fe7d6f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[6, 6, 6]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "weights =np.array([[0,.4,0.2,0.2,.1,.1],\n",
    "          [.1,-.2,.1,.1,.5,.2],\n",
    "          [0,.1,.1,.1,-.2,.5]])\n",
    "[len(a) for a in weights]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "11281a39",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.4200235 , 0.72142343, 0.2711647 ])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tv = np.matmul(weights, tfidf_lst)\n",
    "tv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "155edcb1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['university', 'garden', 'satellite'])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "topic_my.keys()"
   ]
  },
  {
   "attachments": {
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    }
   },
   "cell_type": "markdown",
   "id": "768de5b7",
   "metadata": {},
   "source": [
    "![Picture2.jpg](attachment:Picture2.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21de4e01",
   "metadata": {},
   "source": [
    "# To Model Meaning of words into NUMBERS or TOPIC VECTORS: What has been done.?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02fee072",
   "metadata": {},
   "source": [
    "# Transpose the weigth matrix. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "01556184",
   "metadata": {},
   "outputs": [],
   "source": [
    "X1 = np.array(weights.T)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d58941c1",
   "metadata": {},
   "source": [
    "# Topic vectors for each of these six words in our vocabulary or corpus"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f4cff484",
   "metadata": {},
   "source": [
    "# These 6 Topic Vectors represents the meaning of each of your 6 words as 3D Vectors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "37d3071d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "a4293291",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0. ,  0.1,  0. ],\n",
       "       [ 0.4, -0.2,  0.1],\n",
       "       [ 0.2,  0.1,  0.1],\n",
       "       [ 0.2,  0.1,  0.1],\n",
       "       [ 0.1,  0.5, -0.2],\n",
       "       [ 0.1,  0.2,  0.5]])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X, Y, Z,U,V,W = zip(X1)\n",
    "X1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "4c318895",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0.2, 0.1, 0.1]),)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "U"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "ae238707",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.quiver(X, Y, Z, U, V, W)\n",
    "ax.set_xlim([0, 0.6])\n",
    "ax.set_ylim([-0.2, 0.6])\n",
    "ax.set_zlim([-0.2, 0.5])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "9f79b2e8",
   "metadata": {},
   "outputs": [],
   "source": [
    "Y_pad = np.pad(X1,((0,0),(3,0)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "d0c8d215",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0. ,  0. ,  0. ,  0. ,  0.1,  0. ],\n",
       "       [ 0. ,  0. ,  0. ,  0.4, -0.2,  0.1],\n",
       "       [ 0. ,  0. ,  0. ,  0.2,  0.1,  0.1],\n",
       "       [ 0. ,  0. ,  0. ,  0.2,  0.1,  0.1],\n",
       "       [ 0. ,  0. ,  0. ,  0.1,  0.5, -0.2],\n",
       "       [ 0. ,  0. ,  0. ,  0.1,  0.2,  0.5]])"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Y_pad"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "b9dc77f8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 0.4, 0.2, 0.2, 0.1, 0.1)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X, Y, Z,U,V,W = zip(*Y_pad)\n",
    "U"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "32d8a55f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.quiver(X, Y, Z, U, V, W)\n",
    "ax.set_xlim([0, 0.5])\n",
    "ax.set_ylim([0, 0.5])\n",
    "ax.set_zlim([0, 0.5])\n",
    "plt.show()"
   ]
  },
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