Explanation_Naive_Bayes.ipynb

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    "<h1>Table of Contents<span class=\"tocSkip\"></span></h1>\n",
    "<div class=\"toc\" style=\"margin-top: 1em;\"><ul class=\"toc-item\"><li><span><a href=\"#Bayes-framework\" data-toc-modified-id=\"Bayes-framework-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>Bayes framework</a></span><ul class=\"toc-item\"><li><span><a href=\"#From-conditional-probability-to-Bayes-theorem\" data-toc-modified-id=\"From-conditional-probability-to-Bayes-theorem-1.1\"><span class=\"toc-item-num\">1.1&nbsp;&nbsp;</span>From conditional probability to Bayes theorem</a></span></li><li><span><a href=\"#Bag-of-words\" data-toc-modified-id=\"Bag-of-words-1.2\"><span class=\"toc-item-num\">1.2&nbsp;&nbsp;</span>Bag of words</a></span></li><li><span><a href=\"#What-does-it-mean-to-be-naive?\" data-toc-modified-id=\"What-does-it-mean-to-be-naive?-1.3\"><span class=\"toc-item-num\">1.3&nbsp;&nbsp;</span>What does it mean to be naive?</a></span></li><li><span><a href=\"#Use-ratio-for-binary-classifier\" data-toc-modified-id=\"Use-ratio-for-binary-classifier-1.4\"><span class=\"toc-item-num\">1.4&nbsp;&nbsp;</span>Use ratio for binary classifier</a></span></li><li><span><a href=\"#Algorithm\" data-toc-modified-id=\"Algorithm-1.5\"><span class=\"toc-item-num\">1.5&nbsp;&nbsp;</span>Algorithm</a></span></li><li><span><a href=\"#Simple-example\" data-toc-modified-id=\"Simple-example-1.6\"><span class=\"toc-item-num\">1.6&nbsp;&nbsp;</span>Simple example</a></span><ul class=\"toc-item\"><li><span><a href=\"#Example-context\" data-toc-modified-id=\"Example-context-1.6.1\"><span class=\"toc-item-num\">1.6.1&nbsp;&nbsp;</span>Example context</a></span></li><li><span><a href=\"#Recall-the-meaning-of-each-component-in-the-formula\" data-toc-modified-id=\"Recall-the-meaning-of-each-component-in-the-formula-1.6.2\"><span class=\"toc-item-num\">1.6.2&nbsp;&nbsp;</span>Recall the meaning of each component in the formula</a></span></li><li><span><a href=\"#Caculation\" data-toc-modified-id=\"Caculation-1.6.3\"><span class=\"toc-item-num\">1.6.3&nbsp;&nbsp;</span>Caculation</a></span></li></ul></li><li><span><a href=\"#Use-log-ratio\" data-toc-modified-id=\"Use-log-ratio-1.7\"><span class=\"toc-item-num\">1.7&nbsp;&nbsp;</span>Use log ratio</a></span></li></ul></li><li><span><a href=\"#Connection-with-neural-net\" data-toc-modified-id=\"Connection-with-neural-net-2\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>Connection with neural net</a></span></li></ul></div>"
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   "source": [
    "---"
   ]
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   "source": [
    "This notebook is written by Zhengjie (Jay) Xu and tends to explain the theory behind Naive Bayes classifier step by step, in order to better understand the logic behind the [code](https://github.com/fastai/fastai/blob/master/courses/ml1/lesson5-nlp.ipynb). The code is part of the **Intro to Machine Learning Class** taught by Jeremy Howard at [fastai](http://www.fast.ai/). "
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   "metadata": {},
   "source": [
    "# Bayes framework"
   ]
  },
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   "metadata": {},
   "source": [
    "## From conditional probability to Bayes theorem"
   ]
  },
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   "source": [
    "Let $d$ denotes a document(movie review), and $c$ denotes the class lable of the document(positive or negative). According to `conditional probability`:<br>\n",
    "<br>\n",
    "<center>\n",
    "    <font style=font-size:150%>\n",
    "        $p(c|d) = \\frac{p(cd)}{p(d)}$ &nbsp;&nbsp; (1)<br><br>\n",
    "        $p(d|c) = \\frac{p(cd)}{p(c)}$ &nbsp;&nbsp; (2) \n",
    "    </font>\n",
    "</center>\n",
    "where \n",
    "* $p(c|d)$ is the conditional probability of class label giving a document\n",
    "\n",
    "* $p(d|c)$ is the conditional probability of a document giving a class label\n",
    "\n",
    "* $p(c)$ is the frequency(ratio) of each class label in the training set\n",
    "\n",
    "* $p(d)$ is the frequency(ratio) of each document in the training set\n",
    "\n",
    "* $p(cd)$ is the joint probability of class label and document"
   ]
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   "source": [
    "Replacing $p(cd)$ in equation (1) with equation (2), we get `Bayes formula`:<br>\n",
    "<br>\n",
    "<center>\n",
    "    <font style=font-size:150%>\n",
    "        $p(c|d) = \\frac{p(c)\\cdot p(d|c)}{p(d)}$ &nbsp;&nbsp; (3)\n",
    "    </font>\n",
    "</center>\n",
    "where\n",
    "* We call $p(c)$ `prior probability`, which represents our prior knowledge about the distribution(probability) of class labels\n",
    "\n",
    "* We call $p(c|d)$ the `posterior probability` of class labels. which is what we want to calculate\n",
    "\n",
    "* We call $p(d|c)$ `likelihood` and $p(d)$ `evidence`, which are used to update `prior probaility` to `posterior probability` of class labels"
   ]
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bag of words "
   ]
  },
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   "metadata": {},
   "source": [
    "We represent each document $d$ using the bag of word framework. Let $\\left\\{f_1,f_2,...,f_m\\right\\}$ be a set of $m$ words that can appear in all documents; $f_i$ can be unigram like 'great' or bigram like 'really stinks'.  \n",
    "\n",
    "Let $n_i$ be the number of times $f_i$ occurs in document $d$. Then each document $d$ is represented by the document vector:  \n",
    "<br>\n",
    "<center>\n",
    "    <font style=font-size:120%>\n",
    "    $\\vec{d}=(n_1, n_2,...,n_m)$ &nbsp;&nbsp; (4)\n",
    "    </font>\n",
    "</center>\n",
    "<br>\n",
    "Thus, $p(d|c)$ can be represented as the set of words $f_i$:  \n",
    "<br>\n",
    "<center>\n",
    "    <font style=font-size:120%>\n",
    "        $p(d|c) = p(f_1,f_2,...,f_m|c)$ &nbsp;&nbsp;  (5)\n",
    "    </font>\n",
    "</center>\n",
    "<br>\n",
    "which means given a specific class label, the joint probability to have specific words."
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What does it mean to be naive?"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `Naive` means that we assume each word is independent of the other, thus their joint probability can be expanded to the product of individual probability. Equation (5) becomes:\n",
    "<br>\n",
    "<br>\n",
    "<center>\n",
    "    <font style=font-size:120%>\n",
    "        $p(d|c) = p(f_1,f_2,...,f_m|c)\n",
    "                = p(f_1|c)^{n_1}\\cdot p(f_2|c)^{n_2} \\cdot ... \\cdot p(f_m|c)^{n_m}$ &nbsp;&nbsp; (6)\n",
    "    </font>\n",
    "</center>\n",
    "<br>\n",
    "where each $p(f_i|c)^{n_i}$ is the conditional probability of $word_i$ that occurs $n_i$ times, giving a class label. And it measures the contribution of each word to the prediction of class label.\n",
    "\n",
    "<br>\n",
    "<br>\n",
    "\n",
    "Put equation (3) and (6) together, the `posterior probability` $p(c|d)$ can be expressed as:<br>\n",
    "<br>\n",
    "<center>\n",
    "    <font style=font-size:150%>\n",
    "        $p(c|d) = \\frac{p(c) \\cdot p(f_1|c)^{n_1} \\cdot p(f_2|c)^{n_2} \\cdot ... \\cdot p(f_m|c)^{n_m}}{p(d)}$ &nbsp;&nbsp; (7)\n",
    "    </font>\n",
    "</center>"
   ]
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   "source": [
    "The numerator of equation (7) can be illustrated as following:  "
   ]
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   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 1,
     "metadata": {
      "image/png": {
       "height": 600,
       "width": 600
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "src='image/Picture1.png'\n",
    "Image(src, width=600, height=600)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that in practice, **the assumption of independence rarely holds**. However, the Naive Bayes still has a decent prediction accuracy."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Use ratio for binary classifier"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Recall that our goal is to classify a document(movie review). That is, given a document, choose the class label that maximizes the posterior probability $p(c|d)$.\n",
    "\n",
    "Since our movie review only has positive and negative class, it is a binary classification problem. Assume positive class corresponds to $c=1$, and negtive class corresponds to $c=0$.  \n",
    "<br> \n",
    "For $c=1$, using equation (3):\n",
    "<center>\n",
    "    <font style=font-size:150%>\n",
    "        $p(c=1|d) = \\frac{p(c=1) \\cdot p(d|c=1)}{p(d)}$ &nbsp;&nbsp; (8)\n",
    "    </font>    \n",
    "</center>\n",
    "\n",
    "For $c=0$, using equation (3):\n",
    "<center>\n",
    "    <font style=font-size:150%>\n",
    "        $p(c=0|d) = \\frac{p(c=0) \\cdot p(d|c=0)}{p(d)}$ &nbsp;&nbsp; (9)\n",
    "    </font>\n",
    "</center>\n",
    "\n",
    "Since when we are deciding whether a specific document is positive or negative, we are looking at the same document $d$. Thus the denominator $p(d)$ in the above two equation is the same thing. We can take the ratio of the two equation and cancel out the denominator:  \n",
    "<br>\n",
    "<center>\n",
    "    <font style=font-size:150%>\n",
    "        $\\frac{p(c=1|d)}{p(c=0|d)} = \\frac{p(c=1)\\cdot{p(d|c=1)}}{p(c=0)\\cdot{p(d|c=0)}}$ &nbsp;&nbsp; (10)\n",
    "    </font>\n",
    "</center>\n",
    "\n",
    "Substitute $p(d|c)$ with equation (6):<br>\n",
    "<br>\n",
    "<center>\n",
    "    <font style=font-size:150%>\n",
    "        $\\frac{p(c=1|d)}{p(c=0|d)} = \\frac{p(c=1)\\cdot{p(f_1|c=1)^{n_1}}\\cdot{p(f_2|c=1)^{n_2}}\\cdot{...}\\cdot{p(f_m|c=1)^{n_m}}}{p(c=0)\\cdot{p(f_1|c=0)^{n_1}}\\cdot{p(f_2|c=0)^{n_2}}\\cdot{...}\\cdot{p(f_m|c=0)^{n_m}}}$ &nbsp;&nbsp; (11)\n",
    "    </font>\n",
    "</center>\n",
    "\n",
    "If this ratio is larger than 1, then we can classify it as class 1; otherwise class 0."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Algorithm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "step1. Training: \n",
    " - Use training corpus to calculate `prior probability` $p(c)$ and `likelihood` $p(f_i|c)$ for both $c=1$ and $c=0$.  \n",
    "\n",
    "step2. Predicting: \n",
    " - Represent the new document using bag of words $(n_1, n_2,..., n_m)$, and then substitute $n_i$ in equation (11) and get the ratio\n",
    " \n",
    " - If the ratio is larger than 1, then positive; otherwise negtive"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple example "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example context"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This example is part of my presentation of *Basic Sentiment Classifier* [here](https://github.com/zhengjxu/fastaiML/blob/master/Basic%20Sentiment%20Classifier_Zhengjie%20Xu.pdf)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's say we have a corpus of movie reviews used to train our model. Among the movie review, 50% of them are positive, and the remaining 50% are negative. \n",
    "\n",
    "We have counted the frequency of each word in all training documents, the result is in the following table:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 2,
     "metadata": {
      "image/png": {
       "height": 400,
       "width": 400
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "src = 'image/Example_table.png'\n",
    "Image(src, width=400, height=400)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we get a **test document**:  \n",
    "    \n",
    "    \"This blog-post is awesome\"\n",
    "    \n",
    "And we want to know whether this document is positive or negtive."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Recall the meaning of each component in the formula"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- $p(c)$: frequency of each class; prior probability; calculated by:\n",
    "<center>\n",
    "    <font style=font-size:150%>\n",
    "        $p(c_i)=\\frac{document(c=c_i)}{N_{doc}}$\n",
    "    </font>\n",
    "</center>\n",
    "\n",
    "\n",
    "- $p(c|d)$: the conditional probability of class label given a document d. ; posterior probability \n",
    "\n",
    "\n",
    "- $p(f_i|c=1)$: frequency of $word_i$ giving positive class, which is calculated by the number of $word_i$ in all positive documents/ the number of all words in all positive documents:\n",
    "<center>\n",
    "    <font style=font-size:150%>\n",
    "        $p(f_i|c=1)=\\frac{count(f_i,c_{pos})}{\\sum_{f\\in V}count(f,c_{pos})}$\n",
    "    </font>\n",
    "</center>\n",
    "\n",
    "\n",
    "- $p(f_i|c=0)$: frequency of $word_i$ giving negative class, which is calculated by the number of $word_i$ in all negative documents/ the number of all words in all negative documents.\n",
    "<center>\n",
    "    <font style=font-size:150%>\n",
    "        $p(f_i|c=0)=\\frac{count(f_i,c_{neg})}{\\sum_{f\\in V}count(f,c_{neg})}$\n",
    "    </font>\n",
    "</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that for simplication, we do not apply [add-1 smoothing](https://stats.stackexchange.com/questions/272826/laplace-smoothing-and-naive-bayes) in our example. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Caculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 3,
     "metadata": {
      "image/png": {
       "height": 1000,
       "width": 800
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "src = 'image/calculation.png'\n",
    "Image(src, width=800, height=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since the ratio is larger than 0, we label the test document as positive class."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Use log ratio "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The advantage of taking the log is to convert product into addition, then we can use matrix multiplication to simpliy calculation.\n",
    "\n",
    "Take log on the two side of equation (11):\n",
    "\n",
    "<center>\n",
    "    <font style=font-size:150%>\n",
    "        $log\\frac{p(c=1|d)}{p(c=0|d)} = log\\frac{p(c=1)}{p(c=0)}+n_1\\cdot log\\frac{p(f_1|c=1)}{p(f_1|c=0)}+n_2\\cdot log\\frac{p(f_2|c=1)}{p(f_2|c=0)}+...+n_m\\cdot log\\frac{p(f_m|c=1)}{p(f_m|c=0)}$ &nbsp;&nbsp; (12)\n",
    "    </font>\n",
    "</center>\n",
    "<br>\n",
    "\n",
    "If log ratio > 0, then ratio > 1, we classify it as class 1."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we set \n",
    "<font style=font-size:140%>\n",
    "$b=log\\frac{p(c=1)}{p(c=0)}$\n",
    "</font>\n",
    "<br>\n",
    "<br>\n",
    "<font style=font-size:140%>\n",
    "$\\overrightarrow{r}=[log\\frac{p(f_1|c=1)}{p(f_1|c=0)}, log\\frac{p(f_2|c=1)}{p(f_2|c=0)}...log\\frac{p(f_m|c=1)}{p(f_m|c=0)}]$\n",
    "</font>\n",
    "<br>\n",
    "<br>\n",
    "<font style=font-size:140%>\n",
    "$\\overrightarrow{d}=[n_1, n_2,...,n_m]$\n",
    "</font>\n",
    "<br>\n",
    "<br>\n",
    "Then we can express equation (12) using a matrix form:\n",
    "<br>\n",
    "<center>\n",
    "    <font style=font-size:150%>\n",
    "        $z=b+\\overrightarrow{d}\\cdot \\overrightarrow{r}^{T}$ &nbsp;&nbsp; (13)\n",
    "    </font>\n",
    "</center>\n",
    "\n",
    "If z > 0, then positive; otherwise negative. **The code we learnt in lesson 5 is just based on equation (13)**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Connection with neural net "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compared with a typical one-layer neural net, we have input layer $\\overrightarrow{d}$, weight $\\overrightarrow{r}$ and bias $b$. The difference is that, in a typical one-layer neural net, we use gradient descent to iteratively calculate weight. However, in Naive Bayes, the weight is calcualte based on Bayesian theorem. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The layer of a shallow neural net is like the following, with Gradien Descent to update the weights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 4,
     "metadata": {
      "image/png": {
       "height": 700,
       "width": 600
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "src = 'image/shallow_NN.png'\n",
    "Image(src, width=600, height=700)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The layer of Naive Bayes is like the following, with weight predefined by Bayes Theorom."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 5,
     "metadata": {
      "image/png": {
       "height": 700,
       "width": 600
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "src = 'image/NB_layer.png'\n",
    "Image(src, width=600, height=700)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  },
  "toc": {
   "nav_menu": {
    "height": "348px",
    "width": "432px"
   },
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "toc_cell": true,
   "toc_position": {
    "height": "735px",
    "left": "0px",
    "right": "1468px",
    "top": "111px",
    "width": "212px"
   },
   "toc_section_display": "block",
   "toc_window_display": false
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}