FYS-STK4155/doc/LectureNotes/_build/jupyter_execute/additionweek42.ipynb

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    "<!-- HTML file automatically generated from DocOnce source (https://github.com/doconce/doconce/)\n",
    "doconce format html additionweek42.do.txt --no_mako -->\n",
    "<!-- dom:TITLE: Exercises Week 42: Logistic Regression and Optimization, reminders from week 38 and week 40 -->"
   ]
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   "cell_type": "markdown",
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   "source": [
    "# Exercises Week 42: Logistic Regression and Optimization, reminders from week 38 and week 40\n",
    "**Morten Hjorth-Jensen**, Department of Physics and Center for Computing in Science Education, University of Oslo and Department of Physics and Astronomy and Facility for Rare Isotope Beams, Michigan State University\n",
    "\n",
    "Date: **October 14-18, 2024**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "22f09329",
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   "source": [
    "## The logistic function\n",
    "\n",
    "A widely studied model, is the \n",
    "perceptron model, which is an example of a \"hard classification\" model. We\n",
    "have used this model when we discussed neural networks as\n",
    "well. Each datapoint is deterministically assigned to a category (i.e\n",
    "$y_i=0$ or $y_i=1$). In many cases it is favorable to have a \"soft\"\n",
    "classifier that outputs the probability of a given category rather\n",
    "than a single value. For example, given $x_i$, the classifier\n",
    "outputs the probability of being in a category $k$.  Logistic regression\n",
    "is the most common example of a so-called soft classifier. In logistic\n",
    "regression, the probability that a data point $x_i$\n",
    "belongs to a category $y_i=\\{0,1\\}$ is given by the so-called logit function (or Sigmoid) which is meant to represent the likelihood for a given event,"
   ]
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    "$$\n",
    "p(t) = \\frac{1}{1+\\mathrm \\exp{-t}}=\\frac{\\exp{t}}{1+\\mathrm \\exp{t}}.\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c999f9a3",
   "metadata": {},
   "source": [
    "Note that $1-p(t)= p(-t)$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e6d247bf",
   "metadata": {},
   "source": [
    "## Examples of likelihood functions used in logistic regression and nueral networks\n",
    "\n",
    "The following code plots the logistic function, the step function and other functions we will encounter from here and on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "40e247ae",
   "metadata": {},
   "outputs": [
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/additionweek42_6_0.png"
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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DBw5o27Ztat26db37mTlzpmbNmlWnfdmyZQoNDf1exwMAAC6skydP6le/+pVOnDihsLCwBvv5bLhZtmyZMjIytGrVKqWkpDTY7/jx4+ratavmz5+viRMn1tunvjM30dHRKi0tbfQvx9c5nU7l5+dr2LBhCgoK8nY5fo2x8B2Mhe9gLHyHKWNRVlamDh06nDXc+OS01PLly/W73/1OL7/8cqPBRpLatGmjSy+9VLt27Wqwj91ul91ur9MeFBTUrAe5linHYQLGwncwFr6DsfAdzX0smlq7z93n5u9//7vS09P197//XSNHjjxr/4qKCu3evVuRkZEXoDoAAODrPHrmpqKiwu2Myp49e7R161a1a9dOXbp0UXZ2tg4cOKDnn39e0umpqPHjx+vPf/6zEhMTVVxcLElq2bKlLr74YknSH/7wB40aNUpdu3bVwYMHlZOTo8DAQN18882ePBQAANBMePTMzaZNm3TZZZe5LuPOysrSZZddphkzZkiSDh06pP3797v6P/XUUzp16pQmT56syMhI1+v3v/+9q8+XX36pm2++WT179tQvf/lLtW/fXh9++KE6duzoyUMBAADNhEfP3CQnJ6ux9cpLlixx2y4sLDzrPpcvX/4DqwIAACbzuTU3AAAAPwThBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACM4tFws27dOo0aNUpRUVGy2WxauXLlWT9TWFiogQMHym63q3v37lqyZEmdPosWLVJMTIxCQkKUmJiojRs3nv/iAQBAs+TRcFNZWam4uDgtWrSoSf337NmjkSNHasiQIdq6daumTJmi3/3ud1qzZo2rz4oVK5SVlaWcnBxt2bJFcXFxSk1N1eHDhz11GAAAoBlp4cmdjxgxQiNGjGhy/9zcXMXGxupPf/qTJKl3795av369FixYoNTUVEnS/PnzlZGRofT0dNdn3nrrLS1evFj33HPP+T8IAADQrHg03JyroqIipaSkuLWlpqZqypQpkqSqqipt3rxZ2dnZrvcDAgKUkpKioqKiC1kqAB+27ZhNO/I/U0Agywq9qaa6Rrv2BzAWPsCUsfi6sqJJ/Xwq3BQXFys8PNytLTw8XGVlZfrf//6nr776StXV1fX22bFjR4P7dTgccjgcru2ysjJJktPplNPpPI9HcGHV1t6cj8EUjIXvOF75Pz373wDV7Nzj7VIgSQpQ/gHGwjc0/7GocZxsUj+fCjeeMnfuXM2aNatO+9q1axUaGuqFis6v/Px8b5eAbzAW3lfulGqs07/aromo8XI1AM6nqq9rtLwJ/Xwq3ERERKikpMStraSkRGFhYWrZsqUCAwMVGBhYb5+IiIgG95udna2srCzXdllZmaKjozV8+HCFhYWd34O4gJxOp/Lz8zVs2DAFBQV5uxy/xlj4joNfVUibPpAkPTM5zcvV+De+F77DlLEoKyvT8uyz9/OpcJOUlKTVq1e7teXn5yspKUmSFBwcrISEBBUUFGj06NGSpJqaGhUUFCgzM7PB/drtdtnt9jrtQUFBzXqQa5lyHCZgLLyvRYvTf/8BNjEWPoLvhe9o7mPR1No9uqqooqJCW7du1datWyWdvtR769at2r9/v6TTZ1TGjRvn6n/rrbfq888/1/Tp07Vjxw49+eST+sc//qG77rrL1ScrK0tPP/20li5dqu3bt+u2225TZWWl6+opAP7NsixJks1m83IlALzFo2duNm3apCFDhri2a6eGxo8fryVLlujQoUOuoCNJsbGxeuutt3TXXXfpz3/+szp37qxnnnnGdRm4JI0ZM0ZHjhzRjBkzVFxcrPj4eOXl5dVZZAzAP9WczjYKINsAfsuj4SY5Odn1f1H1qe/uw8nJyfr4448b3W9mZmaj01AAAMB/Nd+L3QGgHkxLASDcADAK01IACDcAjGLpmzM3Xq4DgPcQbgAYpfbMDdNSgP8i3AAwiyvceLcMAN5DuAFglDPTUqQbwF8RbgAYpeabx0mxoBjwX4QbAEapvbMW01KA/yLcADCK6z43TEsBfotwA8AoFguKAb9HuAFgFNeCYsIN4LcINwCM4jpzw7QU4LcINwCMwuMXABBuABjlzLQU6QbwV4QbAEZhQTEAwg0Ao5xZcwPAXxFuABiFaSkAhBsARmFBMQDCDQCjnLlDMQB/RbgBYJTaZ0uxohjwX4QbAEaxmJYC/B7hBoBReHAmAMINAKPUcJ8bwO8RbgAYpfZScKalAP9FuAFgFOvMimJvlgHAiwg3AIzCgmIAhBsARjlzh2IvFwLAawg3AIxy5tlSpBvAXxFuABiFxy8AINwAMErttBTzUoD/ItwAMMqZaSkA/opwA8AotXcoDuC3G+C3+PoDMErtbW5YUAz4L8INAKOwoBgA4QaAUSwW3QB+74KEm0WLFikmJkYhISFKTEzUxo0bG+ybnJwsm81W5zVy5EhXnwkTJtR5Py0t7UIcCgBfx31uAL/XwtM/YMWKFcrKylJubq4SExO1cOFCpaamaufOnerUqVOd/q+99pqqqqpc20ePHlVcXJxuuukmt35paWl67rnnXNt2u91zBwGg2WBaCoDHz9zMnz9fGRkZSk9PV58+fZSbm6vQ0FAtXry43v7t2rVTRESE65Wfn6/Q0NA64cZut7v1a9u2racPBUAzcObxC6QbwF95NNxUVVVp8+bNSklJOfMDAwKUkpKioqKiJu3j2Wef1dixY9WqVSu39sLCQnXq1Ek9e/bUbbfdpqNHj57X2gE0TzUsuQH8nkenpUpLS1VdXa3w8HC39vDwcO3YseOsn9+4caO2bdumZ5991q09LS1Nv/jFLxQbG6vdu3fr3nvv1YgRI1RUVKTAwMA6+3E4HHI4HK7tsrIySZLT6ZTT6fw+h+YTamtvzsdgCsbCd5w6deqbP1mMh5fxvfAdpoxFU+v3+JqbH+LZZ59V//79NXjwYLf2sWPHuv7cv39/DRgwQN26dVNhYaGGDh1aZz9z587VrFmz6rSvXbtWoaGh57/wCyw/P9/bJeAbjIX3fXLUJilQx786rtWrV3u7HIjvhS9p7mNx8uTJJvXzaLjp0KGDAgMDVVJS4tZeUlKiiIiIRj9bWVmp5cuXa/bs2Wf9OZdccok6dOigXbt21RtusrOzlZWV5douKytTdHS0hg8frrCwsCYeje9xOp3Kz8/XsGHDFBQU5O1y/Bpj4TtObf1S+u//qX27trr22sFn/wA8hu+F7zBlLGpnXs7Go+EmODhYCQkJKigo0OjRoyVJNTU1KigoUGZmZqOfffnll+VwOPTrX//6rD/nyy+/1NGjRxUZGVnv+3a7vd6rqYKCgpr1INcy5ThMwFh4X0BA4Df/tDEWPoLvhe9o7mPR1No9frVUVlaWnn76aS1dulTbt2/XbbfdpsrKSqWnp0uSxo0bp+zs7Dqfe/bZZzV69Gi1b9/erb2iokLTpk3Thx9+qL1796qgoEDXXXedunfvrtTUVE8fDgAf53r8AldLAX7L42tuxowZoyNHjmjGjBkqLi5WfHy88vLyXIuM9+/fr4DvPOFu586dWr9+vdauXVtnf4GBgfr3v/+tpUuX6vjx44qKitLw4cM1Z84c7nUD4MzVUmQbwG9dkAXFmZmZDU5DFRYW1mnr2bPnmVuof0fLli21Zs2a81keAJN887uDOxQD/otnSwEwyplpKa+WAcCLCDcAjFLzzZkbHr8A+C/CDQCjWDw4E/B7hBsARmFBMQDCDQDD1D4408tlAPAawg0AozAtBYBwA8AotdNSLCgG/BfhBoBRLNe0FOkG8FeEGwBGaeD+nwD8COEGgFEs7nMD+D3CDQCj8OBMAIQbAEZx3efGu2UA8CLCDQCjnJmWIt4A/opwA8AorvXEZBvAbxFuABjF4j43gN8j3AAwSu20FHcoBvwX4QaAUc5cLeXVMgB4EeEGgFFquM8N4PcINwCMYnHqBvB7hBsARrG4zw3g9wg3AIzCfW4AEG4AGIVZKQCEGwBGqeE+N4DfI9wAMIp1ZkWxV+sA4D2EGwBGYVoKAOEGgFEs7nMD+D3CDQCjnLkUnHQD+CvCDQCjMC0FgHADwCi1j1+wkW4Av0W4AWAW7lAM+D3CDQCjcJ8bAIQbAEaxxLQU4O8INwCMwoMzARBuABjlzIJiLxcCwGsINwCMxLQU4L8INwCMwrQUgAsSbhYtWqSYmBiFhIQoMTFRGzdubLDvkiVLZLPZ3F4hISFufSzL0owZMxQZGamWLVsqJSVFn332macPA0AzUON6/ALxBvBXHg83K1asUFZWlnJycrRlyxbFxcUpNTVVhw8fbvAzYWFhOnTokOu1b98+t/cfffRRPf7448rNzdWGDRvUqlUrpaam6uuvv/b04QDwcdyhGIDHw838+fOVkZGh9PR09enTR7m5uQoNDdXixYsb/IzNZlNERITrFR4e7nrPsiwtXLhQ9913n6677joNGDBAzz//vA4ePKiVK1d6+nAA+Lja+9wQbgD/1cKTO6+qqtLmzZuVnZ3tagsICFBKSoqKiooa/FxFRYW6du2qmpoaDRw4UA899JD69u0rSdqzZ4+Ki4uVkpLi6n/xxRcrMTFRRUVFGjt2bJ39ORwOORwO13ZZWZkkyel0yul0/uDj9Jba2pvzMZiCsfAd1dXVkiSrpobx8DK+F77DlLFoav0eDTelpaWqrq52O/MiSeHh4dqxY0e9n+nZs6cWL16sAQMG6MSJE5o3b56uuOIKffrpp+rcubOKi4td+/juPmvf+665c+dq1qxZddrXrl2r0NDQ73NoPiU/P9/bJeAbjIX3fbE/QFKA9ny+R6tX7/Z2ORDfC1/S3Mfi5MmTTern0XDzfSQlJSkpKcm1fcUVV6h3797629/+pjlz5nyvfWZnZysrK8u1XVZWpujoaA0fPlxhYWE/uGZvcTqdys/P17BhwxQUFOTtcvwaY+E7ilZtk0oOqlu3S3TtsEu9XY5f43vhO0wZi9qZl7PxaLjp0KGDAgMDVVJS4tZeUlKiiIiIJu0jKChIl112mXbt2iVJrs+VlJQoMjLSbZ/x8fH17sNut8tut9e77+Y8yLVMOQ4TMBbeZ7OdXkrYIjCQsfARfC98R3Mfi6bW7tEFxcHBwUpISFBBQYGrraamRgUFBW5nZxpTXV2t//znP64gExsbq4iICLd9lpWVacOGDU3eJwBz1V4txY1uAP/l8WmprKwsjR8/XoMGDdLgwYO1cOFCVVZWKj09XZI0btw4/ehHP9LcuXMlSbNnz9aPf/xjde/eXcePH9djjz2mffv26Xe/+52k01dSTZkyRQ888IB69Oih2NhY3X///YqKitLo0aM9fTgAfJzFfW4Av+fxcDNmzBgdOXJEM2bMUHFxseLj45WXl+daELx//34FBJw5gfTVV18pIyNDxcXFatu2rRISEvTBBx+oT58+rj7Tp09XZWWlJk2apOPHj+vKK69UXl5enZv9AfA/3KEYwAVZUJyZmanMzMx63yssLHTbXrBggRYsWNDo/mw2m2bPnq3Zs2efrxIBGIL73ADg2VIAjGKJaSnA3xFuABjFss7eB4DZCDcAjOJaUMxvN8Bv8fUHYJQzC4qZlgL8FeEGgFF4KjgAwg0Ao9RwnxvA7xFuABiFBcUACDcAjGJxnxvA7xFuABiF+9wAINwAMAqPXwBAuAFglDMLir1cCACvIdwAMIprPTHTUoDfItwAMArTUgAINwCMYnGfG8DvEW4AGIU7FAMg3AAwCtNSAAg3AIxSe7WUjVM3gN8i3AAwCtNSAAg3AIxicZ8bwO8RbgAY5cyaG9IN4K8INwCMwrQUAMINAKOwoBgA4QaAWbgUHPB7hBsARmFaCgDhBoBRanj8AuD3CDcAjMIdigEQbgAY5cyCYi8XAsBrCDcAjMTVUoD/ItwAMArTUgAINwCMwoJiAIQbAEbhUnAAhBsARmFaCgDhBoBRap8KbuOx4IDfItwAMIprWsqrVQDwJsINAKNwnxsAFyTcLFq0SDExMQoJCVFiYqI2btzYYN+nn35aV111ldq2bau2bdsqJSWlTv8JEybIZrO5vdLS0jx9GACagdo1N1wtBfgvj4ebFStWKCsrSzk5OdqyZYvi4uKUmpqqw4cP19u/sLBQN998s9577z0VFRUpOjpaw4cP14EDB9z6paWl6dChQ67X3//+d08fCoBmgAXFADwebubPn6+MjAylp6erT58+ys3NVWhoqBYvXlxv/5deekm333674uPj1atXLz3zzDOqqalRQUGBWz+73a6IiAjXq23btp4+FADNgGtBMWduAL/VwpM7r6qq0ubNm5Wdne1qCwgIUEpKioqKipq0j5MnT8rpdKpdu3Zu7YWFherUqZPatm2rn/70p3rggQfUvn37evfhcDjkcDhc22VlZZIkp9Mpp9N5roflM2prb87HYArGwnfUrrmprj7FeHgZ3wvfYcpYNLV+j4ab0tJSVVdXKzw83K09PDxcO3bsaNI+7r77bkVFRSklJcXVlpaWpl/84heKjY3V7t27de+992rEiBEqKipSYGBgnX3MnTtXs2bNqtO+du1ahYaGnuNR+Z78/Hxvl4BvMBbeV14eKMmmLVu2qHK3ddb+8Dy+F76juY/FyZMnm9TPo+Hmh3r44Ye1fPlyFRYWKiQkxNU+duxY15/79++vAQMGqFu3biosLNTQoUPr7Cc7O1tZWVmu7bKyMtdanrCwMM8ehAc5nU7l5+dr2LBhCgoK8nY5fo2x8B2P71ov/e+kLk9I0JWXdvJ2OX6N74XvMGUsamdezsaj4aZDhw4KDAxUSUmJW3tJSYkiIiIa/ey8efP08MMP65133tGAAQMa7XvJJZeoQ4cO2rVrV73hxm63y26312kPCgpq1oNcy5TjMAFj4QtOr7UJCmrBWPgIvhe+o7mPRVNr9+iC4uDgYCUkJLgtBq5dHJyUlNTg5x599FHNmTNHeXl5GjRo0Fl/zpdffqmjR48qMjLyvNQNoPmqXVAMwH95/GqprKwsPf3001q6dKm2b9+u2267TZWVlUpPT5ckjRs3zm3B8SOPPKL7779fixcvVkxMjIqLi1VcXKyKigpJUkVFhaZNm6YPP/xQe/fuVUFBga677jp1795dqampnj4cAD6O+9wA8PiamzFjxujIkSOaMWOGiouLFR8fr7y8PNci4/379ysg4EzG+utf/6qqqirdeOONbvvJycnRzJkzFRgYqH//+99aunSpjh8/rqioKA0fPlxz5sypd+oJgH/hqeAALsiC4szMTGVmZtb7XmFhodv23r17G91Xy5YttWbNmvNUGQDT1F4KzpkbwH/xbCkARuEOxQAINwCM4lpOTLoB/BbhBoBRLKalAL9HuAFgFKalABBuABiFq6UAEG4AGIWrpQAQbgCYhRsUA36PcAPAKJy5AUC4AWAU1twAINwAMApXSwEg3AAwCtNSAAg3AMxEtgH8FuEGgFGYlgJAuAFgFKalABBuABiFq6UAEG4AGIUzNwAINwDM4jp149UqAHgR4QaAUcg2AAg3AIzCtBQAwg0Ao7guBSfbAH6LcAPAKExLASDcADCK9c2pGxunbgC/RbgBYBSmpQAQbgAYpXZBMdkG8F+EGwBGqV1zw9VSgP8i3AAwCtNSAAg3AIxRu5hYYkEx4M8INwCM8a1sw5obwI8RbgAY41vZhmkpwI8RbgAYo+Zbp25YUAz4L8INAGMwLQVAItwAMEiN24JiLxYCwKsINwCMxNVSgP8i3AAwBtNSACTCDQCDsKAYgHSBws2iRYsUExOjkJAQJSYmauPGjY32f/nll9WrVy+FhISof//+Wr16tdv7lmVpxowZioyMVMuWLZWSkqLPPvvMk4cAoBngUnAA0gUINytWrFBWVpZycnK0ZcsWxcXFKTU1VYcPH663/wcffKCbb75ZEydO1Mcff6zRo0dr9OjR2rZtm6vPo48+qscff1y5ubnasGGDWrVqpdTUVH399deePhwAPsztDsVerAOAd3k83MyfP18ZGRlKT09Xnz59lJubq9DQUC1evLje/n/+85+VlpamadOmqXfv3pozZ44GDhyov/zlL5JO//JauHCh7rvvPl133XUaMGCAnn/+eR08eFArV6709OEA8GE1315zw6kbwG+18OTOq6qqtHnzZmVnZ7vaAgIClJKSoqKiono/U1RUpKysLLe21NRUV3DZs2ePiouLlZKS4nr/4osvVmJiooqKijR27Ng6+3Q4HHI4HK7tsrIySVLG0o8U3LLV9z4+b7MsS6WlAXr58CZ+kXsZY+EbTn0r3Zw65ZTTybJCb3I6nW7/hPeYMhZNrd+j4aa0tFTV1dUKDw93aw8PD9eOHTvq/UxxcXG9/YuLi13v17Y11Oe75s6dq1mzZtVpL/r8mALszX0qK0A6cczbRUASY+E7WrWw9G5BgQLImT4hPz/f2yXgG819LE6ePNmkfh4NN74iOzvb7WxQWVmZoqOjNefnvRV6UWsvVvbDVFdXa9u2berXr58CAwO9XY5fYyx8R3V1tcr3/kepw4cpKCjI2+X4NafTqfz8fA0bxlh4myljUTvzcjYeDTcdOnRQYGCgSkpK3NpLSkoUERFR72ciIiIa7V/7z5KSEkVGRrr1iY+Pr3efdrtddru9Tvv1CV0UFhbW5OPxNU6nUy1L/qNrE6Kb9b+sJmAsfIfT6dTqkv8oKCiIsfARjIXvaO5j0dTaPTohHRwcrISEBBUUFLjaampqVFBQoKSkpHo/k5SU5NZfOn0arbZ/bGysIiIi3PqUlZVpw4YNDe4TAAD4D49PS2VlZWn8+PEaNGiQBg8erIULF6qyslLp6emSpHHjxulHP/qR5s6dK0n6/e9/r2uuuUZ/+tOfNHLkSC1fvlybNm3SU089Jen0FRBTpkzRAw88oB49eig2Nlb333+/oqKiNHr0aE8fDgAA8HEeDzdjxozRkSNHNGPGDBUXFys+Pl55eXmuBcH79+9XQMCZE0hXXHGFli1bpvvuu0/33nuvevTooZUrV6pfv36uPtOnT1dlZaUmTZqk48eP68orr1ReXp5CQkI8fTgAAMDHXZAFxZmZmcrMzKz3vcLCwjptN910k2666aYG92ez2TR79mzNnj37fJUIAAAMwU0gAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUj4WbY8eO6ZZbblFYWJjatGmjiRMnqqKiotH+d9xxh3r27KmWLVuqS5cuuvPOO3XixAm3fjabrc5r+fLlnjoMAADQzLTw1I5vueUWHTp0SPn5+XI6nUpPT9ekSZO0bNmyevsfPHhQBw8e1Lx589SnTx/t27dPt956qw4ePKhXXnnFre9zzz2ntLQ013abNm08dRgAAKCZ8Ui42b59u/Ly8vTRRx9p0KBBkqQnnnhC1157rebNm6eoqKg6n+nXr59effVV13a3bt304IMP6te//rVOnTqlFi3OlNqmTRtFRER4onQAANDMeWRaqqioSG3atHEFG0lKSUlRQECANmzY0OT9nDhxQmFhYW7BRpImT56sDh06aPDgwVq8eLEsyzpvtQMAgObNI2duiouL1alTJ/cf1KKF2rVrp+Li4ibto7S0VHPmzNGkSZPc2mfPnq2f/vSnCg0N1dq1a3X77beroqJCd955Z4P7cjgccjgcru2ysjJJktPplNPpbOph+Zza2pvzMZiCsfAdjIXvYCx8hylj0dT6zync3HPPPXrkkUca7bN9+/Zz2WW9ysrKNHLkSPXp00czZ850e+/+++93/fmyyy5TZWWlHnvssUbDzdy5czVr1qw67WvXrlVoaOgPrtfb8vPzvV0CvsFY+A7GwncwFr6juY/FyZMnm9TPZp3DnM6RI0d09OjRRvtccsklevHFFzV16lR99dVXrvZTp04pJCREL7/8sq6//voGP19eXq7U1FSFhobqn//8p0JCQhr9eW+99ZZ+9rOf6euvv5bdbq+3T31nbqKjo1VaWqqwsLBG9+/LnE6n8vPzNWzYMAUFBXm7HL/GWPgOxsJ3MBa+w5SxKCsrU4cOHVzLVhpyTmduOnbsqI4dO561X1JSko4fP67NmzcrISFBkvTuu++qpqZGiYmJjRadmpoqu92uN95446zBRpK2bt2qtm3bNhhsJMlut9f7flBQULMe5FqmHIcJGAvfwVj4DsbCdzT3sWhq7R5Zc9O7d2+lpaUpIyNDubm5cjqdyszM1NixY11XSh04cEBDhw7V888/r8GDB6usrEzDhw/XyZMn9eKLL6qsrMy1NqZjx44KDAzUm2++qZKSEv34xz9WSEiI8vPz9dBDD+kPf/iDJw4DAAA0Qx67z81LL72kzMxMDR06VAEBAbrhhhv0+OOPu953Op3auXOna/5sy5Ytriupunfv7ravPXv2KCYmRkFBQVq0aJHuuusuWZal7t27a/78+crIyPDUYQAAgGbGY+GmXbt2Dd6wT5JiYmLcLuFOTk4+6yXdaWlpbjfvAwAA+C6eLQUAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAo3gs3Bw7dky33HKLwsLC1KZNG02cOFEVFRWNfiY5OVk2m83tdeutt7r12b9/v0aOHKnQ0FB16tRJ06ZN06lTpzx1GAAAoJlp4akd33LLLTp06JDy8/PldDqVnp6uSZMmadmyZY1+LiMjQ7Nnz3Zth4aGuv5cXV2tkSNHKiIiQh988IEOHTqkcePGKSgoSA899JCnDgUAADQjHgk327dvV15enj766CMNGjRIkvTEE0/o2muv1bx58xQVFdXgZ0NDQxUREVHve2vXrtX//d//6Z133lF4eLji4+M1Z84c3X333Zo5c6aCg4M9cTgAAKAZ8ci0VFFRkdq0aeMKNpKUkpKigIAAbdiwodHPvvTSS+rQoYP69eun7OxsnTx50m2//fv3V3h4uKstNTVVZWVl+vTTT8//gQAAgGbHI2duiouL1alTJ/cf1KKF2rVrp+Li4gY/96tf/Updu3ZVVFSU/v3vf+vuu+/Wzp079dprr7n2++1gI8m13dh+HQ6HHA6Ha/vEiROSTq8Lcjqd53ZwPsTpdOrkyZM6evSogoKCvF2OX2MsfAdj4TsYC99hyliUl5dLkizLarTfOYWbe+65R4888kijfbZv334uu3QzadIk15/79++vyMhIDR06VLt371a3bt2+937nzp2rWbNm1WmPjY393vsEAADeUV5erosvvrjB988p3EydOlUTJkxotM8ll1yiiIgIHT582K391KlTOnbsWIPraeqTmJgoSdq1a5e6deumiIgIbdy40a1PSUmJJDW63+zsbGVlZbm2a2pqdOzYMbVv3142m63J9fiasrIyRUdH64svvlBYWJi3y/FrjIXvYCx8B2PhO0wZC8uyVF5e3ujaXekcw03Hjh3VsWPHs/ZLSkrS8ePHtXnzZiUkJEiS3n33XdXU1LgCS1Ns3bpVkhQZGena74MPPqjDhw+7pr3y8/MVFhamPn36NLgfu90uu93u1tamTZsm1+HrwsLCmvW/rCZhLHwHY+E7GAvfYcJYNHbGppZHFhT37t1baWlpysjI0MaNG/Wvf/1LmZmZGjt2rCttHThwQL169XKdidm9e7fmzJmjzZs3a+/evXrjjTc0btw4XX311RowYIAkafjw4erTp49+85vf6JNPPtGaNWt03333afLkyXXCCwAA8E8eu4nfSy+9pF69emno0KG69tprdeWVV+qpp55yve90OrVz507X1VDBwcF65513NHz4cPXq1UtTp07VDTfcoDfffNP1mcDAQP3zn/9UYGCgkpKS9Otf/1rjxo1zuy8OAADwbx67iV+7du0avWFfTEyM22rn6Ohovf/++2fdb9euXbV69erzUmNzZ7fblZOTw1krH8BY+A7GwncwFr7D38bCZp3teioAAIBmhAdnAgAAoxBuAACAUQg3AADAKIQbAABgFMKNYRwOh+Lj42Wz2Vw3QcSFs3fvXk2cOFGxsbFq2bKlunXrppycHFVVVXm7NL+waNEixcTEKCQkRImJiXXuaI4LY+7cubr88svVunVrderUSaNHj9bOnTu9XRYkPfzww7LZbJoyZYq3S/Eowo1hpk+fftbbUsNzduzYoZqaGv3tb3/Tp59+qgULFig3N1f33nuvt0sz3ooVK5SVlaWcnBxt2bJFcXFxSk1NrfMoGHje+++/r8mTJ+vDDz9Ufn6+nE6nhg8frsrKSm+X5tc++ugj/e1vf3PdGNdkXApukLfffltZWVl69dVX1bdvX3388ceKj4/3dll+77HHHtNf//pXff75594uxWiJiYm6/PLL9Ze//EXS6WfIRUdH64477tA999zj5er825EjR9SpUye9//77uvrqq71djl+qqKjQwIED9eSTT+qBBx5QfHy8Fi5c6O2yPIYzN4YoKSlRRkaGXnjhBYWGhnq7HHzLiRMn1K5dO2+XYbSqqipt3rxZKSkprraAgAClpKSoqKjIi5VBOv0dkMT3wIsmT56skSNHun1HTOaxOxTjwrEsSxMmTNCtt96qQYMGae/evd4uCd/YtWuXnnjiCc2bN8/bpRittLRU1dXVCg8Pd2sPDw/Xjh07vFQVpNNn0KZMmaKf/OQn6tevn7fL8UvLly/Xli1b9NFHH3m7lAuGMzc+7J577pHNZmv0tWPHDj3xxBMqLy9Xdna2t0s2VlPH4tsOHDigtLQ03XTTTcrIyPBS5YB3TZ48Wdu2bdPy5cu9XYpf+uKLL/T73/9eL730kkJCQrxdzgXDmhsfduTIER09erTRPpdccol++ctf6s0335TNZnO1V1dXKzAwULfccouWLl3q6VKN19SxCA4OliQdPHhQycnJ+vGPf6wlS5YoIID/j/CkqqoqhYaG6pVXXtHo0aNd7ePHj9fx48e1atUq7xXnxzIzM7Vq1SqtW7dOsbGx3i7HL61cuVLXX3+9AgMDXW3V1dWy2WwKCAiQw+Fwe88UhBsD7N+/X2VlZa7tgwcPKjU1Va+88ooSExPVuXNnL1bnfw4cOKAhQ4YoISFBL774opG/OHxRYmKiBg8erCeeeELS6emQLl26KDMzkwXFF5hlWbrjjjv0+uuvq7CwUD169PB2SX6rvLxc+/btc2tLT09Xr169dPfddxs7VciaGwN06dLFbfuiiy6SJHXr1o1gc4EdOHBAycnJ6tq1q+bNm6cjR4643ouIiPBiZebLysrS+PHjNWjQIA0ePFgLFy5UZWWl0tPTvV2a35k8ebKWLVumVatWqXXr1iouLpYkXXzxxWrZsqWXq/MvrVu3rhNgWrVqpfbt2xsbbCTCDXBe5efna9euXdq1a1edYMlJUs8aM2aMjhw5ohkzZqi4uFjx8fHKy8urs8gYnvfXv/5VkpScnOzW/txzz2nChAkXviD4HaalAACAUVjlCAAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAMMLevXtls9nqvL77fCMA5uPBmQCMEB0drUOHDrm2i4uLlZKSoquvvtqLVQHwBh6cCcA4X3/9tZKTk9WxY0etWrVKAQGcpAb8CWduABjnt7/9rcrLy5Wfn0+wAfwQ4QaAUR544AGtWbNGGzduVOvWrb1dDgAvYFoKgDFeffVV3XzzzXr77bc1dOhQb5cDwEsINwCMsG3bNiUmJiorK0uTJ092tQcHB6tdu3ZerAzAhUa4AWCEJUuWKD09vU77Nddco8LCwgtfEACvIdwAAACjcBkBAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEb5/+rWN3UNTSglAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/additionweek42_6_1.png"
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/additionweek42_6_2.png"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "\"\"\"The sigmoid function (or the logistic curve) is a\n",
    "function that takes any real number, z, and outputs a number (0,1).\n",
    "It is useful in neural networks for assigning weights on a relative scale.\n",
    "The value z is the weighted sum of parameters involved in the learning algorithm.\"\"\"\n",
    "\n",
    "import numpy\n",
    "import matplotlib.pyplot as plt\n",
    "import math as mt\n",
    "\n",
    "z = numpy.arange(-5, 5, .1)\n",
    "sigma_fn = numpy.vectorize(lambda z: 1/(1+numpy.exp(-z)))\n",
    "sigma = sigma_fn(z)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot(z, sigma)\n",
    "ax.set_ylim([-0.1, 1.1])\n",
    "ax.set_xlim([-5,5])\n",
    "ax.grid(True)\n",
    "ax.set_xlabel('z')\n",
    "ax.set_title('sigmoid function')\n",
    "\n",
    "plt.show()\n",
    "\n",
    "\"\"\"Step Function\"\"\"\n",
    "z = numpy.arange(-5, 5, .02)\n",
    "step_fn = numpy.vectorize(lambda z: 1.0 if z >= 0.0 else 0.0)\n",
    "step = step_fn(z)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot(z, step)\n",
    "ax.set_ylim([-0.5, 1.5])\n",
    "ax.set_xlim([-5,5])\n",
    "ax.grid(True)\n",
    "ax.set_xlabel('z')\n",
    "ax.set_title('step function')\n",
    "\n",
    "plt.show()\n",
    "\n",
    "\"\"\"tanh Function\"\"\"\n",
    "z = numpy.arange(-2*mt.pi, 2*mt.pi, 0.1)\n",
    "t = numpy.tanh(z)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot(z, t)\n",
    "ax.set_ylim([-1.0, 1.0])\n",
    "ax.set_xlim([-2*mt.pi,2*mt.pi])\n",
    "ax.grid(True)\n",
    "ax.set_xlabel('z')\n",
    "ax.set_title('tanh function')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c0072e88",
   "metadata": {},
   "source": [
    "## Two parameters\n",
    "\n",
    "We assume now that we have two classes with $y_i$ either $0$ or $1$. Furthermore we assume also that we have only two parameters $\\beta$ in our fitting of the Sigmoid function, that is we define probabilities"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "47c8d6f0",
   "metadata": {},
   "source": [
    "$$\n",
    "\\begin{align*}\n",
    "p(y_i=1|x_i,\\boldsymbol{\\beta}) &= \\frac{\\exp{(\\beta_0+\\beta_1x_i)}}{1+\\exp{(\\beta_0+\\beta_1x_i)}},\\nonumber\\\\\n",
    "p(y_i=0|x_i,\\boldsymbol{\\beta}) &= 1 - p(y_i=1|x_i,\\boldsymbol{\\beta}),\n",
    "\\end{align*}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f0dbf70",
   "metadata": {},
   "source": [
    "where $\\boldsymbol{\\beta}$ are the weights we wish to extract from data, in our case $\\beta_0$ and $\\beta_1$. \n",
    "\n",
    "Note that we used"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5666ab6f",
   "metadata": {},
   "source": [
    "$$\n",
    "p(y_i=0\\vert x_i, \\boldsymbol{\\beta}) = 1-p(y_i=1\\vert x_i, \\boldsymbol{\\beta}).\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a5bf836",
   "metadata": {},
   "source": [
    "## The cost function\n",
    "\n",
    "Reordering the logarithms, we can rewrite the **cost/loss** function as"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "865c1168",
   "metadata": {},
   "source": [
    "$$\n",
    "\\mathcal{C}(\\boldsymbol{\\beta}) = \\sum_{i=1}^n  \\left(y_i(\\beta_0+\\beta_1x_i) -\\log{(1+\\exp{(\\beta_0+\\beta_1x_i)})}\\right).\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a319692e",
   "metadata": {},
   "source": [
    "The maximum likelihood estimator is defined as the set of parameters that maximize the log-likelihood where we maximize with respect to $\\beta$.\n",
    "Since the cost (error) function is just the negative log-likelihood, for logistic regression we have that"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6a573cc",
   "metadata": {},
   "source": [
    "$$\n",
    "\\mathcal{C}(\\boldsymbol{\\beta})=-\\sum_{i=1}^n  \\left(y_i(\\beta_0+\\beta_1x_i) -\\log{(1+\\exp{(\\beta_0+\\beta_1x_i)})}\\right).\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a2cce7c",
   "metadata": {},
   "source": [
    "This equation is known in statistics as the **cross entropy**. Finally, we note that just as in linear regression, \n",
    "in practice we often supplement the cross-entropy with additional regularization terms, usually $L_1$ and $L_2$ regularization as we did for Ridge and Lasso regression."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b52cf1c",
   "metadata": {},
   "source": [
    "## Minimizing the cross entropy\n",
    "\n",
    "The cross entropy is a convex function of the weights $\\boldsymbol{\\beta}$ and,\n",
    "therefore, any local minimizer is a global minimizer. \n",
    "\n",
    "Minimizing this\n",
    "cost function with respect to the two parameters $\\beta_0$ and $\\beta_1$ we obtain"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e48db3ac",
   "metadata": {},
   "source": [
    "$$\n",
    "\\frac{\\partial \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\beta_0} = -\\sum_{i=1}^n  \\left(y_i -\\frac{\\exp{(\\beta_0+\\beta_1x_i)}}{1+\\exp{(\\beta_0+\\beta_1x_i)}}\\right),\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9844a743",
   "metadata": {},
   "source": [
    "and"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc707870",
   "metadata": {},
   "source": [
    "$$\n",
    "\\frac{\\partial \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\beta_1} = -\\sum_{i=1}^n  \\left(y_ix_i -x_i\\frac{\\exp{(\\beta_0+\\beta_1x_i)}}{1+\\exp{(\\beta_0+\\beta_1x_i)}}\\right).\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f67203cd",
   "metadata": {},
   "source": [
    "## A more compact expression\n",
    "\n",
    "Let us now define a vector $\\boldsymbol{y}$ with $n$ elements $y_i$, an\n",
    "$n\\times p$ matrix $\\boldsymbol{X}$ which contains the $x_i$ values and a\n",
    "vector $\\boldsymbol{p}$ of fitted probabilities $p(y_i\\vert x_i,\\boldsymbol{\\beta})$. We can rewrite in a more compact form the first\n",
    "derivative of cost function as"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d863b540",
   "metadata": {},
   "source": [
    "$$\n",
    "\\frac{\\partial \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}} = -\\boldsymbol{X}^T\\left(\\boldsymbol{y}-\\boldsymbol{p}\\right).\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e769467d",
   "metadata": {},
   "source": [
    "If we in addition define a diagonal matrix $\\boldsymbol{W}$ with elements \n",
    "$p(y_i\\vert x_i,\\boldsymbol{\\beta})(1-p(y_i\\vert x_i,\\boldsymbol{\\beta})$, we can obtain a compact expression of the second derivative as"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "074ba1e7",
   "metadata": {},
   "source": [
    "$$\n",
    "\\frac{\\partial^2 \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}\\partial \\boldsymbol{\\beta}^T} = \\boldsymbol{X}^T\\boldsymbol{W}\\boldsymbol{X}.\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "784aef3a",
   "metadata": {},
   "source": [
    "## Extending to more predictors\n",
    "\n",
    "Within a binary classification problem, we can easily expand our model to include multiple predictors. Our ratio between likelihoods is then with $p$ predictors"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4d71c488",
   "metadata": {},
   "source": [
    "$$\n",
    "\\log{ \\frac{p(\\boldsymbol{\\beta}\\boldsymbol{x})}{1-p(\\boldsymbol{\\beta}\\boldsymbol{x})}} = \\beta_0+\\beta_1x_1+\\beta_2x_2+\\dots+\\beta_px_p.\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a4a1497",
   "metadata": {},
   "source": [
    "Here we defined $\\boldsymbol{x}=[1,x_1,x_2,\\dots,x_p]$ and $\\boldsymbol{\\beta}=[\\beta_0, \\beta_1, \\dots, \\beta_p]$ leading to"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7435cbe3",
   "metadata": {},
   "source": [
    "$$\n",
    "p(\\boldsymbol{\\beta}\\boldsymbol{x})=\\frac{ \\exp{(\\beta_0+\\beta_1x_1+\\beta_2x_2+\\dots+\\beta_px_p)}}{1+\\exp{(\\beta_0+\\beta_1x_1+\\beta_2x_2+\\dots+\\beta_px_p)}}.\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1cb32178",
   "metadata": {},
   "source": [
    "## Including more classes\n",
    "\n",
    "Till now we have mainly focused on two classes, the so-called binary\n",
    "system. Suppose we wish to extend to $K$ classes.  Let us for the sake\n",
    "of simplicity assume we have only two predictors. We have then following model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e620bb11",
   "metadata": {},
   "source": [
    "$$\n",
    "\\log{\\frac{p(C=1\\vert x)}{p(K\\vert x)}} = \\beta_{10}+\\beta_{11}x_1,\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b4851e37",
   "metadata": {},
   "source": [
    "and"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3999e7f2",
   "metadata": {},
   "source": [
    "$$\n",
    "\\log{\\frac{p(C=2\\vert x)}{p(K\\vert x)}} = \\beta_{20}+\\beta_{21}x_1,\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7200162c",
   "metadata": {},
   "source": [
    "and so on till the class $C=K-1$ class"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4795f8a9",
   "metadata": {},
   "source": [
    "$$\n",
    "\\log{\\frac{p(C=K-1\\vert x)}{p(K\\vert x)}} = \\beta_{(K-1)0}+\\beta_{(K-1)1}x_1,\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c55dc7f6",
   "metadata": {},
   "source": [
    "and the model is specified in term of $K-1$ so-called log-odds or\n",
    "**logit** transformations."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c8cdb1d4",
   "metadata": {},
   "source": [
    "## More classes\n",
    "\n",
    "In our discussion of neural networks we will encounter the above again\n",
    "in terms of a slightly modified function, the so-called **Softmax** function.\n",
    "\n",
    "The softmax function is used in various multiclass classification\n",
    "methods, such as multinomial logistic regression (also known as\n",
    "softmax regression), multiclass linear discriminant analysis, naive\n",
    "Bayes classifiers, and artificial neural networks.  Specifically, in\n",
    "multinomial logistic regression and linear discriminant analysis, the\n",
    "input to the function is the result of $K$ distinct linear functions,\n",
    "and the predicted probability for the $k$-th class given a sample\n",
    "vector $\\boldsymbol{x}$ and a weighting vector $\\boldsymbol{\\beta}$ is (with two\n",
    "predictors):"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89c9a8d4",
   "metadata": {},
   "source": [
    "$$\n",
    "p(C=k\\vert \\mathbf {x} )=\\frac{\\exp{(\\beta_{k0}+\\beta_{k1}x_1)}}{1+\\sum_{l=1}^{K-1}\\exp{(\\beta_{l0}+\\beta_{l1}x_1)}}.\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b4446bd",
   "metadata": {},
   "source": [
    "It is easy to extend to more predictors. The final class is"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "801a59a0",
   "metadata": {},
   "source": [
    "$$\n",
    "p(C=K\\vert \\mathbf {x} )=\\frac{1}{1+\\sum_{l=1}^{K-1}\\exp{(\\beta_{l0}+\\beta_{l1}x_1)}},\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0ae9ae9",
   "metadata": {},
   "source": [
    "and they sum to one."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ace600ee",
   "metadata": {},
   "source": [
    "## Wisconsin Cancer Data\n",
    "\n",
    "We show here how we can use a simple regression case on the breast\n",
    "cancer data using Logistic regression as our algorithm for\n",
    "classification."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "56c9f070",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(426, 30)\n",
      "(143, 30)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test set accuracy with Logistic Regression: 0.94\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  n_iter_i = _check_optimize_result(\n"
     ]
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn.model_selection import  train_test_split \n",
    "from sklearn.datasets import load_breast_cancer\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "# Load the data\n",
    "cancer = load_breast_cancer()\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(cancer.data,cancer.target,random_state=0)\n",
    "print(X_train.shape)\n",
    "print(X_test.shape)\n",
    "# Logistic Regression\n",
    "logreg = LogisticRegression(solver='lbfgs')\n",
    "logreg.fit(X_train, y_train)\n",
    "print(\"Test set accuracy with Logistic Regression: {:.2f}\".format(logreg.score(X_test,y_test)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "31b448d5",
   "metadata": {},
   "source": [
    "## Using the correlation matrix\n",
    "\n",
    "In addition to the above scores, we could also study the covariance (and the correlation matrix).\n",
    "We use **Pandas** to compute the correlation matrix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9b7aa971",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x2000 with 30 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/additionweek42_43_0.png"
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x800 with 2 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/additionweek42_43_1.png"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn.model_selection import  train_test_split \n",
    "from sklearn.datasets import load_breast_cancer\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "cancer = load_breast_cancer()\n",
    "import pandas as pd\n",
    "# Making a data frame\n",
    "cancerpd = pd.DataFrame(cancer.data, columns=cancer.feature_names)\n",
    "\n",
    "fig, axes = plt.subplots(15,2,figsize=(10,20))\n",
    "malignant = cancer.data[cancer.target == 0]\n",
    "benign = cancer.data[cancer.target == 1]\n",
    "ax = axes.ravel()\n",
    "\n",
    "for i in range(30):\n",
    "    _, bins = np.histogram(cancer.data[:,i], bins =50)\n",
    "    ax[i].hist(malignant[:,i], bins = bins, alpha = 0.5)\n",
    "    ax[i].hist(benign[:,i], bins = bins, alpha = 0.5)\n",
    "    ax[i].set_title(cancer.feature_names[i])\n",
    "    ax[i].set_yticks(())\n",
    "ax[0].set_xlabel(\"Feature magnitude\")\n",
    "ax[0].set_ylabel(\"Frequency\")\n",
    "ax[0].legend([\"Malignant\", \"Benign\"], loc =\"best\")\n",
    "fig.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "import seaborn as sns\n",
    "correlation_matrix = cancerpd.corr().round(1)\n",
    "# use the heatmap function from seaborn to plot the correlation matrix\n",
    "# annot = True to print the values inside the square\n",
    "plt.figure(figsize=(15,8))\n",
    "sns.heatmap(data=correlation_matrix, annot=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e48192a2",
   "metadata": {},
   "source": [
    "## Discussing the correlation data\n",
    "\n",
    "In the above example we note two things. In the first plot we display\n",
    "the overlap of benign and malignant tumors as functions of the various\n",
    "features in the Wisconsing breast cancer data set. We see that for\n",
    "some of the features we can distinguish clearly the benign and\n",
    "malignant cases while for other features we cannot. This can point to\n",
    "us which features may be of greater interest when we wish to classify\n",
    "a benign or not benign tumour.\n",
    "\n",
    "In the second figure we have computed the so-called correlation\n",
    "matrix, which in our case with thirty features becomes a $30\\times 30$\n",
    "matrix.\n",
    "\n",
    "We constructed this matrix using **pandas** via the statements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "be07af84",
   "metadata": {},
   "outputs": [],
   "source": [
    "cancerpd = pd.DataFrame(cancer.data, columns=cancer.feature_names)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1c5f852a",
   "metadata": {},
   "source": [
    "and then"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2925cdd6",
   "metadata": {},
   "outputs": [],
   "source": [
    "correlation_matrix = cancerpd.corr().round(1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7fdedbd7",
   "metadata": {},
   "source": [
    "Diagonalizing this matrix we can in turn say something about which\n",
    "features are of relevance and which are not. This leads  us to\n",
    "the classical Principal Component Analysis (PCA) theorem with\n",
    "applications. This will be discussed later this semester ([week 43](https://compphysics.github.io/MachineLearning/doc/pub/week43/html/week43-bs.html))."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62d43eb5",
   "metadata": {},
   "source": [
    "## Other measures in classification studies: Cancer Data  again"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "371f0a26",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(426, 30)\n",
      "(143, 30)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  n_iter_i = _check_optimize_result(\n",
      "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  n_iter_i = _check_optimize_result(\n",
      "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  n_iter_i = _check_optimize_result(\n",
      "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  n_iter_i = _check_optimize_result(\n",
      "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  n_iter_i = _check_optimize_result(\n",
      "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  n_iter_i = _check_optimize_result(\n",
      "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  n_iter_i = _check_optimize_result(\n",
      "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  n_iter_i = _check_optimize_result(\n",
      "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  n_iter_i = _check_optimize_result(\n",
      "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  n_iter_i = _check_optimize_result(\n",
      "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  n_iter_i = _check_optimize_result(\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.         0.86666667 1.         0.85714286 1.         0.85714286\n",
      " 1.         0.92857143 0.92857143 1.        ]\n",
      "Test set accuracy with Logistic Regression: 0.94\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/additionweek42_50_3.png"
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/additionweek42_50_4.png"
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/additionweek42_50_5.png"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn.model_selection import  train_test_split \n",
    "from sklearn.datasets import load_breast_cancer\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "# Load the data\n",
    "cancer = load_breast_cancer()\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(cancer.data,cancer.target,random_state=0)\n",
    "print(X_train.shape)\n",
    "print(X_test.shape)\n",
    "# Logistic Regression\n",
    "logreg = LogisticRegression(solver='lbfgs')\n",
    "logreg.fit(X_train, y_train)\n",
    "\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "from sklearn.model_selection import cross_validate\n",
    "#Cross validation\n",
    "accuracy = cross_validate(logreg,X_test,y_test,cv=10)['test_score']\n",
    "print(accuracy)\n",
    "print(\"Test set accuracy with Logistic Regression: {:.2f}\".format(logreg.score(X_test,y_test)))\n",
    "\n",
    "import scikitplot as skplt\n",
    "y_pred = logreg.predict(X_test)\n",
    "skplt.metrics.plot_confusion_matrix(y_test, y_pred, normalize=True)\n",
    "plt.show()\n",
    "y_probas = logreg.predict_proba(X_test)\n",
    "skplt.metrics.plot_roc(y_test, y_probas)\n",
    "plt.show()\n",
    "skplt.metrics.plot_cumulative_gain(y_test, y_probas)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "448d70b5",
   "metadata": {},
   "source": [
    "## Gradient descent and Logistic regression\n",
    "\n",
    "We complete these examples by adding a simple code for\n",
    "Logistic regression. Note the more general approach with a class for\n",
    "the method. Here we use a so-called **AND** gate for our data set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1ce6966d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Predictions: [1, 1, 1, 1]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "class LogisticRegression:\n",
    "    def __init__(self, learning_rate=0.01, num_iterations=1000):\n",
    "        self.learning_rate = learning_rate\n",
    "        self.num_iterations = num_iterations\n",
    "        self.beta_logreg = None\n",
    "    def sigmoid(self, z):\n",
    "        return 1 / (1 + np.exp(-z))\n",
    "    def GDfit(self, X, y):\n",
    "        n_data, num_features = X.shape\n",
    "        self.beta_logreg = np.zeros(num_features)\n",
    "        for _ in range(self.num_iterations):\n",
    "            linear_model = X @ self.beta_logreg\n",
    "            y_predicted = self.sigmoid(linear_model)\n",
    "            # Gradient calculation\n",
    "            gradient = (X.T @ (y_predicted - y))/n_data\n",
    "            # Update beta_logreg\n",
    "            self.beta_logreg -= self.learning_rate*gradient\n",
    "    def predict(self, X):\n",
    "        linear_model = X @ self.beta_logreg\n",
    "        y_predicted = self.sigmoid(linear_model)\n",
    "        return [1 if i >= 0.5 else 0 for i in y_predicted]\n",
    "# Example usage\n",
    "if __name__ == \"__main__\":\n",
    "    # Sample data\n",
    "    X = np.array([[0, 0], [1, 0], [0, 1], [1, 1]])\n",
    "    y = np.array([0, 0, 0, 1])  # This is an AND gate\n",
    "    model = LogisticRegression(learning_rate=0.01, num_iterations=1000)\n",
    "    model.GDfit(X, y)\n",
    "    predictions = model.predict(X)\n",
    "    print(\"Predictions:\", predictions)"
   ]
  }
 ],
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