{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Logistic Regression\n",
    "\n",
    "* labels: y\n",
    "* inputs:  x\n",
    "\n",
    "**model**\n",
    "\n",
    "$$ w^T x = w_0 + w_1x_1 + w_2x_2 + w_3x_3 $$\n",
    "\n",
    "$$ w^Tx = \\sum^n_{i=1}{w_i \\cdot x_i} $$\n",
    "\n",
    "$$ \\sigma = \\frac{1}{1 + e^{-w^T}} $$\n",
    "\n",
    "$$ P(y|x) = σ(w^Tx) $$\n",
    "\n",
    "## Given data:\n",
    "\n",
    "D = ((x1, y1), ..., (xn, yn))\n",
    "x ∈ R\n",
    "y ∈ {0, 1}\n",
    "\n",
    "\n",
    "## Pro's:\n",
    "\n",
    "- interpretable\n",
    "- small # params (d + 1)\n",
    "- computationally efficient\n",
    "- extensible to multi-class\n",
    "\n",
    "## Cons\n",
    "\n",
    "- performance as good as other models\n",
    "\n",
    "## Maximum Likelihood Estimation MLE\n",
    "\n",
    "likelihood \n",
    "\n",
    "$$l(w)= P(y_i | x_i, w) \\cdot P(y_j | x_j, w) ... P(y_n | x_n,w)$$\n",
    "\n",
    "in product notation\n",
    "\n",
    "$$l(w) = \\prod_{i=1}^{N}P(y_i |x_i, w) $$\n",
    "\n",
    "So we need to find w that makes the function $ l(w) $ as large as possible. This is done with gradient ascent. (If we define a loss function, we use gradient descent)\n",
    "\n",
    "![gradient_ascent](img/log_likelihood.png)\n",
    "\n",
    "*$ll$ is the log likelihood, because this is a nice convex function*\n",
    "\n",
    "$\\triangledown f$ = vector of partial derivatives of f\n",
    "\n",
    "$$ \\triangledown ll(w) = \n",
    "\\left(\n",
    "\\begin{array}{}\n",
    "\\frac{\\partial ll}{\\partial w_0} \\\\\n",
    "\\frac{\\partial ll}{\\partial w_1} \\\\\n",
    "\\vdots \\\\\n",
    "\\frac{\\partial ll}{\\partial w_n}\n",
    "\\end{array}\n",
    "\\right) $$\n",
    "\n",
    "## Derivative of log likelihood\n",
    "\n",
    "$$\\frac{\\partial ll(w)}{\\partial w_j} = \\sum_{i=1}^{N} h_i(x) (y_i - P(y_i|x_i, w)$$\n",
    "\n",
    "or\n",
    "\n",
    "$$\\frac{\\partial ll(w)}{\\partial w_j} = \\sum_{i=1}^{N} h(x) (y_i - \\hat{y_i})$$\n",
    "\n",
    "$h_j(x_i)$ is the individual input value taken from the $x$ vector (containing all input values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Deriving log-likelihood\n",
    "\n",
    "log of the likelihood function\n",
    "\n",
    "$$\\ln l(w) = ln \\prod_{i = 1}^{N} P(y_i|x_i, w)$$\n",
    "\n",
    "By taking the log, the products becom the sum.\n",
    "\n",
    "$$\n",
    "\\ln a \\cdot b = \\ln a + \\ln b \\\\\n",
    "\\ln \\frac{a}{b} = \\ln a - \\ln b\n",
    "$$\n",
    "\n",
    "The $\\hat{w}$ that maximizes $l(w)$ is equal to the $\\hat{w}$ that maximizes $\\ln l(w)$.\n",
    "\n",
    "In other words the peaks of the parabola are on the same places."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
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O5aSlpTWnDBEBJo/uw+8nj2Txl19x2cyF7Ni93++SJMI0K+jNLKPO0wuAA2fkzAEmm1mC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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9c1058780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ExpTRnEBsxOFuZlPNzILHi4LXrB/p64qIZJuqeJR9x07S1tmV9m0NOixjZt8C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\n/0IGnJm37siYAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9c1395898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# function\n",
    "def fn(x):\n",
    "    return -(x-5)**2 +200\n",
    "\n",
    "x = np.arange(0, 20)\n",
    "plt.plot(x, fn(x))\n",
    "plt.show()\n",
    "\n",
    "plt.plot(x, np.log(fn(x)))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\\ln l(w) = ln \\prod_{i = 1}^{N} P(y_i|x_i, w) = \\sum_{i=1}^{N} \\ln P(y_i|x_i, w) \\tag{1}$$\n",
    "\n",
    "We also add the label for simpler math:\n",
    "\n",
    "$$\\sum_{i=1}^{N} y_i \\ln P(y_i|x_i, w) \\tag{1}$$\n",
    "\n",
    "$$P(y=0|x, w) = 1 - P(y= 1 | x, w) = 1 - \\frac{1}{e^{-w^Th(x)}} \\tag{2}$$\n",
    "\n",
    "note:\n",
    "\n",
    "$$1 - \\frac{1}{x+1} = \\frac{x+1}{x+1} - \\frac{1}{x+1} = \\frac{x}{x+1}$$\n",
    "\n",
    "When applied to the formula (2):\n",
    "\n",
    "$$P(y=0|x, w) = \\frac{e^{-w^Th(x)}}{1 + e^{-w^Th(x)}} \\tag{3}$$\n",
    "\n",
    "Both probabilities are:\n",
    "\n",
    "$$P(y=1|x, w) = \\frac{1}{1 + e^{-w^Th(x)}} \\tag{1.1}$$\n",
    "\n",
    "$$P(y=0|x, w) = \\frac{e^{-w^Th(x)}}{1 + e^{-w^Th(x)}} \\tag{2.1}$$\n",
    "\n",
    "Total formula:\n",
    "\n",
    "$$ \\ln l(w) = y_i  \\ln \\frac{1}{1 + e^{-w^Th(x)}} + y_i \\ln \\frac{e^{-w^Th(x)}}{1 + e^{-w^Th(x)}} \\tag{4}$$\n",
    "\n",
    "Simplifying:\n",
    "\n",
    "$$ \\ln \\frac{1}{1 + e^{-w^Th(x)}} = -\\ln (1 + e^{-w^Th(x)}) \\tag{1.2}$$\n",
    "\n",
    "$$ \\ln \\frac{e^{-w^Th(x)}}{1 + e^{-w^Th(x)}} = \\ln (e^{-w^Th(x)}) -\\ln(1 + e^{-w^Th(x)}) \\tag{2.2}$$\n",
    "\n",
    "Further simplifying:\n",
    "\n",
    "$$ \\ln e^a = a$$\n",
    "\n",
    "$$ -w^Th(x) -\\ln(1 + e^{-w^Th(x)}) \\tag{2.3}$$\n",
    "\n",
    "\n",
    "After all simplifications the log likelihood function becomes (Cannot replicate it) :(: \n",
    "\n",
    "$$ \\ln l = \\sum_{i=1}^{N}y_i w^T x_i - \\ln(1+ e^{w^T x_i})$$\n",
    "\n",
    "$$\\triangledown \\ln l= \\sum_{i=1}^{N} h(x) (y_i - \\hat{y_i})$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FwyPpZbZJtglN/wXUB1ESqA9bqoUfQ5NV0NgG5WtQPQ94NFmLND6CJCstMaHebVPlJEPS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Pj7DmoY8iN9hbDk+/TejDb3/u5Ifgzp/LDXhrrClYeKFFeoUGFpRNshf5iykizS8tOZw8uuZoyB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HWEIfAaPp4b0Ky20A0NwzZwm167bjlwYrAlA7v7EQh8xyMKVcucJgRO02lXGQdeiO/62Gkb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\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9I93UijUxYTM0tFZFsu8F5NbygoB4AdVig4ULqxy+dx/JnjjXzy1w95N3tM9frzSxGhau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SSH7oQQQszcgk+K61ZX03a2k9yCnHRdZ2A8SG5+Tkb7p2zEdXr/OYK+UKrtWVIz3DtGeX3JtE7U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\nvf8PzXyWLQ9oETMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9c165d470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(0)\n",
    "num_observations = 5000\n",
    "\n",
    "x1 = np.random.multivariate_normal([0, 0], [[1, .75], [.75, 1]], num_observations)\n",
    "x2 = np.random.multivariate_normal([1, 4], [[1, .75], [.75, 1]], num_observations)\n",
    "\n",
    "features = np.vstack((x1, x2))\n",
    "labels = np.hstack((np.zeros(num_observations), np.ones(num_observations)))\n",
    "plt.figure(figsize=(12, 8))\n",
    "plt.scatter(features[:,0], features[:,1], alpha=.4, c=labels)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Score: -5954.892449294746\n",
      "Score: -498.20255757965316\n",
      "Score: -350.5808749406438\n",
      "Score: -292.93254194794474\n",
      "Score: -261.1174211867518\n",
      "Score: -240.59940601572433\n",
      "Score: -226.12429319454873\n",
      "Score: -215.29620999117014\n",
      "Score: -206.8547580368404\n",
      "Score: -200.068756580291\n",
      "Score: -194.48262542221624\n",
      "Score: -189.79657736766856\n",
      "Score: -185.80464746775425\n",
      "Score: -182.36029469165794\n",
      "Score: -179.35619655046423\n",
      "Score: -176.71181606704357\n",
      "Score: -174.36544807294422\n",
      "Score: -172.26896020650537\n",
      "Score: -170.3842154300599\n",
      "Score: -168.680577514434\n",
      "Score: -167.1331334953521\n",
      "Score: -165.72140245990641\n",
      "Score: -164.4283813996932\n",
      "Score: -163.23982921970457\n",
      "Score: -162.14372195511714\n",
      "Score: -161.12983300913268\n",
      "Score: -160.18940599227997\n",
      "Score: -159.3148970463256\n",
      "Score: -158.49976993054196\n",
      "Score: -157.7383316131317\n",
      "Score: -157.02559927358772\n",
      "Score: -156.3571918923439\n",
      "Score: -155.72924125417734\n",
      "Score: -155.13831840477053\n",
      "Score: -154.58137250094836\n",
      "Score: -154.05567967120572\n",
      "Score: -153.5588000151348\n",
      "Score: -153.08854126145337\n",
      "Score: -152.64292790552287\n",
      "Score: -152.22017488097782\n",
      "Score: -151.81866500278323\n",
      "Score: -151.43692956282422\n",
      "Score: -151.07363157302348\n",
      "Score: -150.72755124174546\n",
      "Score: -150.39757334200755\n",
      "Score: -150.08267618865483\n",
      "Score: -149.78192198917554\n",
      "Score: -149.4944483715164\n",
      "Score: -149.2194609239191\n",
      "Score: -148.95622660781115\n"
     ]
    }
   ],
   "source": [
    "def sigmoid(z):\n",
    "    return 1 / (1 + np.exp(-z))\n",
    "\n",
    "def log_likelihood(z, y):\n",
    "    return np.sum(y * z - np.log(1 + np.exp(z)))\n",
    "\n",
    "def gradient(x, y, a):\n",
    "    return np.dot(x.T, (y - a))\n",
    "\n",
    "def log_regr(x, y, n, eta):\n",
    "    intercept = np.ones((x.shape[0], 1))  # bias as 1 * wbias = wbias\n",
    "    x = np.hstack((intercept, x)) # add to the inputs    \n",
    "    w = np.random.standard_normal(x.shape[1])\n",
    "\n",
    "    for i in range(n):\n",
    "        z = np.dot(x, w)\n",
    "        \n",
    "        ll = log_likelihood(z, y)\n",
    "        prediction = sigmoid(z)\n",
    "\n",
    "        dw = gradient(x, y, prediction)\n",
    "    \n",
    "        w += eta * dw\n",
    "        \n",
    "        if i % 100 == 0:\n",
    "            print(f\"Score: {ll}\") # , w: {w}, dw, {dw}\")\n",
    "            \n",
    "    return w\n",
    "            \n",
    "w = log_regr(features, labels, 5000, 1e-4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 173,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
       "          penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
       "          verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 173,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "lrc = LogisticRegression(fit_intercept=True)\n",
    "lrc.fit(features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.995"
      ]
     },
     "execution_count": 174,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lrc.score(features, labels)"
   ]
  }
 ],
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