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"<!-- HTML file automatically generated from DocOnce source (https://github.com/doconce/doconce/)\n",
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"# Logistic Regression"
]
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"## Logistic Regression\n",
"\n",
"In linear regression our main interest was centered on learning the\n",
"coefficients of a functional fit (say a polynomial) in order to be\n",
"able to predict the response of a continuous variable on some unseen\n",
"data. The fit to the continuous variable $y_i$ is based on some\n",
"independent variables $x_i$. Linear regression resulted in\n",
"analytical expressions for standard ordinary Least Squares or Ridge\n",
"regression (in terms of matrices to invert) for several quantities,\n",
"ranging from the variance and thereby the confidence intervals of the\n",
"optimal parameters $\\hat{\\beta}$ to the mean squared error. If we can invert\n",
"the product of the design matrices, linear regression gives then a\n",
"simple recipe for fitting our data.\n",
"\n",
"Classification problems, however, are concerned with outcomes taking\n",
"the form of discrete variables (i.e. categories). We may for example,\n",
"on the basis of DNA sequencing for a number of patients, like to find\n",
"out which mutations are important for a certain disease; or based on\n",
"scans of various patients' brains, figure out if there is a tumor or\n",
"not; or given a specific physical system, we'd like to identify its\n",
"state, say whether it is an ordered or disordered system (typical\n",
"situation in solid state physics); or classify the status of a\n",
"patient, whether she/he has a stroke or not and many other similar\n",
"situations.\n",
"\n",
"The most common situation we encounter when we apply logistic\n",
"regression is that of two possible outcomes, normally denoted as a\n",
"binary outcome, true or false, positive or negative, success or\n",
"failure etc.\n",
"\n",
"Logistic regression will also serve as our stepping stone towards\n",
"neural network algorithms and supervised deep learning. For logistic\n",
"learning, the minimization of the cost function leads to a non-linear\n",
"equation in the parameters $\\hat{\\beta}$. The optimization of the\n",
"problem calls therefore for minimization algorithms. This forms the\n",
"bottle neck of all machine learning algorithms, namely how to find\n",
"reliable minima of a multi-variable function. This leads us to the\n",
"family of gradient descent methods. The latter are the working horses\n",
"of basically all modern machine learning algorithms.\n",
"\n",
"We note also that many of the topics discussed here on logistic \n",
"regression are also commonly used in modern supervised Deep Learning\n",
"models, as we will see later."
]
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"metadata": {
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"source": [
"## Basics\n",
"\n",
"We consider the case where the dependent variables, also called the\n",
"responses or the outcomes, $y_i$ are discrete and only take values\n",
"from $k=0,\\dots,K-1$ (i.e. $K$ classes).\n",
"\n",
"The goal is to predict the\n",
"output classes from the design matrix $\\boldsymbol{X}\\in\\mathbb{R}^{n\\times p}$\n",
"made of $n$ samples, each of which carries $p$ features or predictors. The\n",
"primary goal is to identify the classes to which new unseen samples\n",
"belong.\n",
"\n",
"Let us specialize to the case of two classes only, with outputs\n",
"$y_i=0$ and $y_i=1$. Our outcomes could represent the status of a\n",
"credit card user that could default or not on her/his credit card\n",
"debt. That is"
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"$$\n",
"y_i = \\begin{bmatrix} 0 & \\mathrm{no}\\\\ 1 & \\mathrm{yes} \\end{bmatrix}.\n",
"$$"
]
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"id": "8e2f836b",
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"Before moving to the logistic model, let us try to use our linear\n",
"regression model to classify these two outcomes. We could for example\n",
"fit a linear model to the default case if $y_i > 0.5$ and the no\n",
"default case $y_i \\leq 0.5$.\n",
"\n",
"We would then have our \n",
"weighted linear combination, namely"
]
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"<!-- Equation labels as ordinary links -->\n",
"<div id=\"_auto1\"></div>\n",
"\n",
"$$\n",
"\\begin{equation}\n",
"\\boldsymbol{y} = \\boldsymbol{X}^T\\boldsymbol{\\beta} + \\boldsymbol{\\epsilon},\n",
"\\label{_auto1} \\tag{1}\n",
"\\end{equation}\n",
"$$"
]
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"where $\\boldsymbol{y}$ is a vector representing the possible outcomes, $\\boldsymbol{X}$ is our\n",
"$n\\times p$ design matrix and $\\boldsymbol{\\beta}$ represents our estimators/predictors.\n",
"\n",
"The main problem with our function is that it takes values on the\n",
"entire real axis. In the case of logistic regression, however, the\n",
"labels $y_i$ are discrete variables. A typical example is the credit\n",
"card data discussed below here, where we can set the state of\n",
"defaulting the debt to $y_i=1$ and not to $y_i=0$ for one the persons\n",
"in the data set (see the full example below).\n",
"\n",
"One simple way to get a discrete output is to have sign\n",
"functions that map the output of a linear regressor to values $\\{0,1\\}$,\n",
"$f(s_i)=sign(s_i)=1$ if $s_i\\ge 0$ and 0 if otherwise. \n",
"We will encounter this model in our first demonstration of neural networks. Historically it is called the ``perceptron\" model in the machine learning\n",
"literature. This model is extremely simple. However, in many cases it is more\n",
"favorable to use a ``soft\" classifier that outputs\n",
"the probability of a given category. This leads us to the logistic function.\n",
"\n",
"The following example on data for coronary heart disease (CHD) as function of age may serve as an illustration. In the code here we read and plot whether a person has had CHD (output = 1) or not (output = 0). This ouput is plotted the person's against age. Clearly, the figure shows that attempting to make a standard linear regression fit may not be very meaningful."
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" <tr>\n",
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" <tr>\n",
" <th>95</th>\n",
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" <td>8</td>\n",
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" <tr>\n",
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" ID Age Agegroup CHD\n",
"0 1 21 1 0\n",
"1 2 23 1 0\n",
"2 3 25 1 1\n",
"3 4 29 1 0\n",
"4 5 21 1 0\n",
".. ... ... ... ...\n",
"95 96 61 8 1\n",
"96 97 69 8 1\n",
"97 98 65 8 1\n",
"98 99 64 8 1\n",
"99 100 63 8 0\n",
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aF76Py+VyPy6s3xevy8LkLfOFIfpy0tLSCtyOi7quLpyPlL/2wuZz8bxsNpskeawPb9dvYbVFR0frtttu07JlyzRixAhlZGTo+++/18SJEwscX5ALz7XP2z4urDUtLU0ul8v9yVCes2fPKjo6WmlpaapVq1aJLZM3CtuupKLtS2rUqKHFixdr1qxZevfddxUXF6fGjRvrueee05/+9CdJJbv8NptNiYmJmjVrlpYvX64PPvhA1atX1yOPPKKBAwfKZrO5t7e///3vCgkJcb9fTk6OoqOj832KAxQVgRd/CGfPntUvv/yizz77LN9zQ4YM0cqVKzVq1ChFRUUpJCREp0+fzjcuPT3dI0DkHbkaPXq0OnXq5FU9eUfSTp06le89iqpZs2aaOnWqMjIy9Omnn2ratGl65JFHtG7dugJ/AZaUM2fOeDzOW4YLP0K22+35rnFclI9YLycqKirfOruwhouP/BbXkiVLdMstt1z2C09Fldfvi7eri9dlYTp27KjJkyfrxx9/VI8ePQoc8/vvv2vXrl1q3bq1wsPDFRUVpWPHjuUb5+26ytvOT58+7fGFuStZ5yW5fnv16qX169frq6++0pEjR3TXXXeV6OX0oqKilJaWVug1svOU9DZTFIXtR6Si70tiYmL02muvaezYsVq7dq2mTZump556SitXrlRMTEyJL3/FihU1YsQIPffcc9q8ebNmzZqlCRMmKCIiQg888IB7e3vzzTfzfToBXAlOacAfwqeffqq2bdsW+Nydd96pU6dOafXq1QoKCtKNN96on376Sbm5ue4x586dy3fO4y233CK73V7gdW7Hjx9/yXN4GzZsqIiICCUnJ3tM//nnn4u0PCtXrtTatWslnT9K+MADD+jvf/+7MjIy3Od75h0dyQue+/btK9Y1eS92cY3btm2TdP60gjzR0dH5fglfeJ7lhYKDg901HjlyRD/88EOh733rrbfq8OHD+Y4qbtmyRREREe6P2a+Uw+FwH5nMc+HH3N5q3ry57HZ7vptoXPht+UupX7++7rvvPv3nP/8p9Cjvq6++qilTpig8PFzS+XWVnZ3tPl0nz5YtW2S324sczG699VZJ0tatWz2m5z3Oe94bJbl+O3bsqEqVKmnJkiVavHhxkc+LLqpbb71V6enp+W4EcfDgQT3//PPu/URJLVPeuel5PxPJycnav39/gWOrV6+uWrVq5duujh49WqQ/pjZu3KiPP/5Y0vlTmrp27ao33nhDubm52rt3r6SSXf4TJ05o/Pjxks4f7W3VqpXefvttRUZGun8W8rannTt3erzW6XRq5MiR+uWXXy67XEBBCLz4Q1i0aJHuvPPOAp+74447ZLPZ3F9eGz58uE6cOOG+C1beF0MuPmpUp04dDRo0SPPmzXMHV8uy9OGHH2r9+vW6/vrrC62nYsWKGjx4sNatW+f+clNGRobefffdIi3PgQMHNGPGDPcRQ5fLpe+++05Vq1ZV/fr1JUmVK1dWeHi4+yjf9OnT3SH5Sqxbt859ruzp06c1ffp01atXz+PIY9u2bXX27Fl9+eWXks6f7pB32bGL1a5d213jRx995P4FXJChQ4cqIiJCEydOdP+iXb9+vb788kuNHDmyyKcIXM4dd9yhpKQkd5A4ffq03nvvvWLP79prr1WPHj20ePFidwA9fvy45s2bV+R5/N///Z9atGihIUOGePzRkZGRoTfeeEObNm3Sa6+95p4+cOBA1a1bV5MmTXIfXd+2bZuWLFmiQYMGqU6dOkV6327duqlFixZKSEhw/6Fx8OBBvffee+rSpYv7y3reKMn1GxISom7durm3r5I+Kpi3HseNG6fMzExJ54+evvLKK6pevbo7oJbUMtWuXVs2m839MzF+/Ph8f2zksdlsGjZsmHbs2OE+ApuTk6PJkycrLCzssu919OhRvfvuux6nI23atEnly5d3n7Ndkst/7tw5ffTRRx7n4e7YsUOZmZnuL++2adNGXbp00dtvv61Dhw5JOn/qWXx8vA4dOlSsc50BSbJZF3/uCBgkLS1NgwYN0q5du9SoUSONHj3a48jW7t27NWrUKO3du1dOp1MNGzZUXFyc9u3bp7feekuZmZmqUaOGHn74YXcQS0xM9HiPxMREffjhh3I6nSpXrpzq16+v559//rJfAHO5XHr77bf10UcfKSIiQpUqVdJzzz2nAQMGKDo6Wtdcc40SExPd1+E9e/asrrvuOv3jH/9QhQoVNGfOHG3btk0hISFyOp269tprNWLECI8v4SxcuFDvvvuuIiIiFB0drbi4OC1cuFBLlizRoUOHVLduXVWsWNHjhgVTpkxxX4e3bt266tSpkypXrqwlS5Zo3759evHFF7Vjxw7t3btXv/76a77r8OaZPn26Fi1apIoVKyo2NladO3fWsGHD3PMcPXq0JGnt2rWaMGGCypcvr/Lly2vixInasGGD+zq8NWrU0M0336y4uDhJ58NWXFyce9nzrsP7l7/8xaPneb8s69atq4ULF2ratGn65JNPdPToUV133XUaMmRIoacHZGRkaOLEifrvf/+rKlWqKCoqyh366tatq549e6pJkyaaPHmydu3apejoaLVt21ZxcXEaNGiQdu7c6e5XXFyc6tev73Ed3sqVK6tKlSrq37+/nn76adWoUUPNmzfX1KlTL7vNLF26VIsXL9aZM2fc5wq3adNGjzzyiPuqHXlSU1MVFxenjRs3KiwsTEFBQXr44Yc9vtyYd93kvHo7d+7s8aWlvPWRdx3e0NBQOZ1O3XvvvXriiSfcnyQ888wz2rJli1JTU9WoUSP94x//UGpqquLj49197NSpk1566aVird/o6Gi9/vrrBf4huXv3bnXv3l0vv/yy+vbte8l1KEn//Oc/tX79eve2MHToUFWvXl3//Oc/3e938803Kz4+XtL5P07efPNNJSUl6aqrrlJQUJD+8pe/aPDgwe7zfktymRISErRkyRJVqFBB9erV0+TJky95msaCBQs0a9Ys2Ww2VapUSYMHD9Ybb7yhjIwM1ahRQ/Pnz9fw4cPd1+Ft1KiRnnjiCTVt2lTvvfeevvvuOwUFBcnlcqlKlSp69tlnPT6xKanlf+SRRzRr1iytW7fOfR59UFCQBgwY4PGzmJOTo3/9619asWKFQkJCFBISohYtWui5555znzsOeIvACxRRt27dVKtWLfcNHQAEBofDodtuu01ffPGFT89fB1B2cUoDcJGtW7d6XHVBOv+Fq8OHD1/yNAUA/vG///1P7du3J+wCKBSBF7jI6dOnNXv2bPe1I10ul958800FBwfroYce8nN1ACRp5syZWrFihfv23kU5lQHAH5ffL0vmcDiUkJCg2bNn64svvijwGpt5kpKSNHfuXJ09e1bZ2dmKiIjQX//6V91www2lWDFMV79+fd1+++0aMmSIwsLCdPr0aTVq1Ejz588v8t2bAPhWRESEJkyYoBkzZqhTp05q2bKlv0sCEMD8eg7v4cOHNXLkSF177bVatmyZ1q5de8nA27lzZz3++ON68MEHJZ2/4P+CBQu0atUq9y0vAQAAgAv59ZSGs2fPatKkSR737b6UJk2aeFxjsX///jp16lS+W2QCAAAAefx6SkNsbKwkFXg3oIJMmTLF43HedQZzcnJKtjAAAAAYo0x/aW3Lli0KDw9Xx44d/V0KAAAAAlSZDbyWZemdd97R8OHDvb6XO5ceBgAA+OPw+1UaiishIUHVqlXT4MGDvX7tyZOZstttlx9YDEFBdkVGllN6+jk5nS6fvAf8g96ajf6ai96ai96aK6+3JaVMBt6PPvpI27dv1/Tp04v1epfLksvl26O8TqdLubn88JmI3pqN/pqL3pqL3uJyytwpDZ988olWrVqlhIQEhYaGKiUlhas0AAAAoFABfYR3zJgxys3N1RtvvCFJWr9+veLi4jRhwgTt2bNHkrRjxw4dP35c7du392epAAAACFB+DbwOh0OPPvqo0tPTJUnPP/+8qlevrvj4eElSdna2cnNz3ePHjBmjtLQ0DRw40GM+Q4cOLb2iAQAAUKb49U5r/nL8+BmfzTs42K6oqAilpWVyPpFh6K3Z6K+56K256K258npbUsrcObwAAACANwi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYLdjfBTgcDiUkJGj27Nn64osvVLt27UuO37x5syZNmqTQ0FA5HA6NGjVKLVu2LKVqcaETp89p9eYUZWblKiI8WJ1b1lHlq8r5u6yAsPdwmuat3qNz2bkqFxasfp0bqH7tKH+X5TPebgu+Hl+c+td8f0S5lqVgm02dbq51yfn7sr+Bti4Dbby3697b3gba8noz/vvdx/TB53uUk+NUSEiQBnZpoJsbVi903v/98ZA+XLtPTqeloCCb+tx5nTq2qFvo+OKse2+W1dv6fd1bbwXatu/r+gNl3kVlsyzLKtV3vMDhw4c1cuRIXXvttVq2bJnWrl17ycB75MgRde/eXW+//bbatGmjb7/9Vk899ZRWrFihWrVqFfl9jx8/UxLlFyg42K6oqAilpWUqN9fls/fxJ6fLpTmrdmn7LyeUfjbHPT2yfIiaxlTWoK6NFGQ378ODovTWkZurl2d9q99PZeV7rurV4XrlsdYKDfb735klxtttwdfjfV2/L/sbaOsy0MZ7u+4DrX5fjj/nyNHIhK+VlZN/vxQeYlfcs7eoXGiIe1pGlkPPvbVBrgJ++9tt0tTht6pCeKh7mq/Xvbf1l/X9SCDtd4pTT2nNO+93bknxayo5e/asJk2apJ49exZpfGJiomJiYtSmTRtJUuvWrVWvXj3NmzfPl2XiInNW7dLXycc8Nl5JSj+bo6+Tj2nOp7v9VJn/FbZTkqTfT2Xp5VnflXJFvuXttuDr8b6u35f9DbR1GWjjvV33gVa/L8cXFhYlKSvHpZEJSR7TCgu7kuSypOfe+tpjmq/Xvbf1l/X9SCDtd4pTT6DM21t+DbyxsbG65pprijw+KSlJTZs29ZjWtGlTJSUlFfIKlLQTp89p+y8nLjlm+y+pOnH6XClVFDj2Hk4rdKeU5/ipc9p7OK2UKvItb7cFX4/3lrfz92V/A21dBtp4b9d9oNXvy/Hf7z5WaFjMk5Xj1Pe7j0k6fxpDYWE3j8uy9N8fD0ny/br3tv6yvh8JpP1OceoJlHkXR5n63DklJUXR0dEe06Kjo5WSkuLVfOx2m4KD7T75FxR0fpUGBflm/v7+t+b7I/n+UrtYemaO1v5wxO+1lnZv56/ec9ltz5I0f80evy+LP7YFX4/3df2+7G+grctAG+/tug+0+n05fu7nl183kjT38/Pr5sO1+4o0/sO1+0pl3Xtbf1nfjwTSfsfX6+dK5533O7eklKmTCbOyshQaGuoxLTQ0VFlZl/7r52KVKkXIZrOVZGn5REaa+eWt3CKe8p3rUomeexNICuttdhHP2XbkuIxYN95uC74e7y1v5+/L/gbaugy08d6u+0Cr35fjc4q4bnJzz68bp7No83Y6rVJZ997WX9b3I4G035F8+zs90PJCmQq84eHhcjgcHtMcDofCw8O9ms/Jk5my230TeIOC7IqMLKf09HNyOs370lpwEf9QCLZLaWmZPq6mdF2ut2HBRftrNDTEbsS68XZb8PV4b3k7f1/2N9DWZaCN93bdB1r9vhwfEmxXlsN5+bHB59dNUJBNrtzLB5GgIFuprHtv6y/r+5FA2u9Ivv2dfqXzzvudW1LK1CkNderUUWpqqse01NRU1alTx6v5uFyWcnNdPvmXF4ScTt/M39//Ot1cS5HlQy65fiMjQnTnTbX8Xmtp97Zv5waX3fZskvp2auD3ZfHHtuDr8b6u35f9DbR1GWjjvV33gVa/L8cP6HL5dSNJA7qcXzd97ryuSOP73Hldqax7b+sv6/uRQNrv+Hr9XOm8S/qgYZkKvO3atVNycrLHtOTkZLVv395PFf3xVL6qnJrGVL7kmKb1Kv8hr8dbv3aUql596U8bqlwdbsz1eL3dFnw93lvezt+X/Q20dRlo471d94FWvy/H39ywusJDLv2rPDzE7r6ebccWdXW5DzjtNrmvx+vrde9t/WV9PxJI+53i1BMo8y6OgA68Y8aM0QsvvOB+PGDAAO3bt0/ffXf+EhybN2/Wvn371K9fP3+V+Ic0qGsj3dK0hiIjPP9yi4wI0S1NqmtQ10Z+qsz/XnmstapeXU4X/z6x6f9fL9Ek3m4Lvh7v6/p92d9AW5eBNt7bdR9o9ftyfNyztyg8JEgFybuO7YWmDr9V9kI+bs67Du+FfL3uva2/rO9HAmm/U5x6AmXe3vLrjSccDoceffRRpaena9euXbrxxhtVvXp1xcfHS5Kef/555ebmuh9L//9OayEhIXI4HBo9erTXd1rjxhMlI+/OKWezchURHqLOreqoUqR351OXJd70Nu+OOFnZuSofFqJ+dzVQTK2rS6dQP/B2W/D1+OLUv+b7I3Ja588n63Rz7UvO35f9DbR1GWjjvV333vY20JbXm/F5dyrLzXEqNCRIA++OVYvYaoXO++I7rfXtVF9/al74KYLFWffeLKu39fu6t94KtG3f1/X7et55v3NLil8Dr78QeFEc9NZs9Ndc9NZc9NZcJR14A/qUBgAAAOBKEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADBasL8LWL16td555x2Fh4fLbrdr7NixatCgQYFjLcvSO++8o88++0yRkZE6e/asevfurd69e5dy1QAAACgr/Bp4t23bplGjRmnx4sWKiYnRsmXL9Oijj2rVqlWqUKFCvvGLFi3S7NmztWrVKlWrVk1Hjx7VPffco2rVqqljx46lvwAAAAAIeH49pWHmzJnq0KGDYmJiJEndu3eX0+nUsmXLChy/a9cuxcTEqFq1apKkGjVqqF69etqwYUNplQwAAIAyxq+Bd+PGjWratKn7sd1uV+PGjZWUlFTg+DvvvFP79u3T7t27JZ0PwHv27FF0dHSp1AsAAICyx2+nNKSlpenMmTP5wmp0dLS2b99e4Gvat2+vCRMmaODAgapUqZL279+vli1b6uGHHy6NkgEAAFAG+S3wZmVlSZJCQ0M9poeGhrqfu9j69ev18ssva/bs2WrSpIlSUlL06aefKjw83Kv3ttttstttxSv8MoKC7B7/hTnordnor7norbnorblKuqd+C7x5IdXhcHhMdzgchQbYKVOmqHPnzmrSpIkkqU6dOjpw4IDGjRuncePGFfm9K1WKkM3mm8CbJzKynE/nD/+ht2ajv+ait+ait7gcvwXeqKgoVaxYUampqR7TU1NTVadOnQJfc/DgQf35z3/2mFa7dm3NmTPHq8B78mSmT4/wRkaWU3r6OTmdLp+8B/yD3pqN/pqL3pqL3porr7clxa+XJWvbtq2Sk5Pdjy3L0s6dO/Xkk08WOL5atWo6fvy4x7Tjx48rLCzMq/d1uSy5XJb3BXvB6XQpN5cfPhPRW7PRX3PRW3PRW1yOX096GTJkiL788kvt379fkrRixQrZ7Xb16NFDkjRmzBi98MIL7vG9evXSqlWr9Ouvv0qSjhw5olWrVuU76gsAAADk8esR3mbNmmnixIkaOXKk+05rs2fPdt90Ijs7W7m5ue7xjz76qGw2m5555hmFh4crIyNDDz30kJ5++ml/LQIAAAACnM2yLN9+th+Ajh8/47N5BwfbFRUVobS0TD5eMQy9NRv9NRe9NRe9NVdeb0sK1/EAAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYLdjfBaxevVrvvPOOwsPDZbfbNXbsWDVo0KDQ8SdPnlRcXJwOHTqkzMxMORwOPf300+ratWspVg0AAICywq9HeLdt26ZRo0Zp8uTJWrBgge6//349+uijysjIKHC8w+HQI488olatWikxMVFLlizRbbfdpu3bt5dy5QAAACgr/Bp4Z86cqQ4dOigmJkaS1L17dzmdTi1btqzA8R9//LHCwsLUo0cP97THH39c999/fylUCwAAgLLIr4F348aNatq0qfux3W5X48aNlZSUVOD4L774Qq1atfKYVqlSJV133XU+rRMAAABll9/O4U1LS9OZM2cUHR3tMT06OrrQUxR+/vlntWzZUmPHjtXu3bsVEhKirl276qGHHpLNZiuNsgEAAFDG+C3wZmVlSZJCQ0M9poeGhrqfu1h6erreffddTZ8+Xf/85z914MAB9e3bV2fOnNGQIUOK/N52u012u28CclCQ3eO/MAe9NRv9NRe9NRe9NVdJ97RYgffMmTPaunWrTp8+rauuuko33nijKlas6NU8wsPDJZ3/ItqFHA6H+7mL2Ww2NWvWTB06dJAkXXvtterVq5c++OADrwJvpUoRPj8iHBlZzqfzh//QW7PRX3PRW3PRW1yOV4HX4XDo9ddf17///W85nU739KCgIPXu3VujR4/Od8S2MFFRUapYsaJSU1M9pqempqpOnToFvqZGjRqqXr26x7SaNWsqNTVVWVlZhQbli508menTI7yRkeWUnn5OTqfLJ+8B/6C3ZqO/5qK35qK35srrbUnxKvA+88wz2rhxo+644w41b95cFStW1OnTp/XDDz9o4cKFSklJ0YwZM4o8v7Zt2yo5Odn92LIs7dy5U08++WSB41u2bKnDhw97TEtNTVVUVFSRw64kuVyWXC6ryOOLw+l0KTeXHz4T0Vuz0V9z0Vtz0VtcTpED76pVq7R7924tXbq0wBtD7Nq1S48//rg+/fRT/fnPfy7SPIcMGaJBgwZp//79qlevnlasWCG73e6+7NiYMWOUm5urN954Q5I0cOBA9e7dW9u2bVOzZs106tQpLV++XP379y/qYgAAAOAPpsiBd8WKFXrttdcKvQtao0aN9Oqrr2r+/PlFDrzNmjXTxIkTNXLkSPed1mbPnq0KFSpIkrKzs5Wbm+vxHtOmTdMrr7yi4OBgOZ1OPfjggxo8eHBRFwMAAAB/MDbLsor02X6PHj0KvSFEccb50/HjZ3w27+Bgu6KiIpSWlsnHK4aht2ajv+ait+ait+bK621JKfI1H/KOupbUOAAAAKA0FDnw2u1FG1rUcQAAAEBpKPI5vD/99JMGDBhw2XG7du26ooIAAACAkuTVZcmKeLovAAAAEDCKHHgbNWqkxMTEy47jEmEAAAAIJEU+4XbChAklOg4AAAAoDUUOvDZb0W7FW9RxAAAAQGkocuAdM2ZMiY4DAAAASgNXaQAAAIDRvLpormVZHv9++umnfNMAAACAQHJFV2no379/gdMAAACAQFHkI7yTJk3KN62gL6gVNA4AAADwlyIH3ho1apToOAAAAKA0eHUOLwAAAFDWFDnwDhs2rETHAQAAAKWhyF9aS05O1vTp0z2uxHDkyJF803bs2FGyFQIAAABXoMiB99dff1VCQkK+6RdP405rAAAACCRFDrytWrXKdwmygnBZMgAAAASSIp/DO3DgwBIdBwAAAJSGIgfem266SdOmTdO0adP0888/53t+4sSJOn36tDp16lSiBQIAAABXosiBd+3atZo2bZr279+v8PDwfM9v2rRJ/fr1U3p6eokWCAAAAFyJIgfe9evX66WXXlJcXJzq1q2b7/klS5aobdu2mj17dokWCAAAAFyJIgfekydPqm/fvpcc89e//lXffPPNFRcFAAAAlJQiB96QkJDLXnIsLCxMoaGhV1wUAAAAUFJK/NbCLperpGcJAAAAFFuRA294eLj27dt3yTF79uxRuXLlrrgoAAAAoKQUOfA+/PDDeuqpp7Rt27YCn9+6dauGDh3KdXgBAAAQUIp8p7Xbb79dmzZt0oMPPqhrrrlGsbGxKl++vM6ePauff/5Zhw4d0hNPPKHbbrvNl/UCAAAAXily4JWkF198UU2aNNF7772nNWvWyLIs2Ww23XDDDZo6daq6dOniqzoBAACAYvEq8ErSPffco3vuuUdZWVk6ffq0rrrqqgJvRAEAAAAEAq8Db57w8HCCLgAAAAJeiV+WDAAAAAgkBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0fweeFevXq2ePXvq4YcfVr9+/bRnz54ivW79+vVq2LChlixZ4uMKAQAAUJYF+/PNt23bplGjRmnx4sWKiYnRsmXL9Oijj2rVqlWqUKFCoa87e/aspk6dWnqFAgAAoMzy6xHemTNnqkOHDoqJiZEkde/eXU6nU8uWLbvk6+Lj49WnT59SqBAAAABlnV8D78aNG9W0aVP3Y7vdrsaNGyspKanQ1+zcuVPbtm1T7969S6NEAAAAlHF+C7xpaWk6c+aMoqOjPaZHR0crJSWlwNe4XC698sorevnll2Wz2UqjTAAAAJRxfjuHNysrS5IUGhrqMT00NNT93MXmzZunm266SY0aNbqi97bbbbLbfROYg4LsHv+FOeit2eivueitueituUq6p34LvOHh4ZIkh8PhMd3hcLifu9Bvv/2mjz/+WAsXLrzi965UKcLnR4gjI8v5dP7wH3prNvprLnprLnqLy/Fb4I2KilLFihWVmprqMT01NVV16tTJN37Dhg2SpCeeeMJj+owZM7R06VINHz5cLVu2LNJ7nzyZ6dMjvJGR5ZSefk5Op8sn7wH/oLdmo7/morfmorfmyuttSfHrZcnatm2r5ORk92PLsrRz5049+eST+cb26tVLvXr18pjWsGFDDRkyRD179vTqfV0uSy6XVbyii8jpdCk3lx8+E9Fbs9Ffc9Fbc9FbXI5fT3oZMmSIvvzyS+3fv1+StGLFCtntdvXo0UOSNGbMGL3wwgt+rBAAAABlnV+P8DZr1kwTJ07UyJEjFR4eLrvdrtmzZ7tvOpGdna3c3Nx8r5sxY4a++uor9/8vXbpUiYmJpVo7AAAAygabZVm+/Ww/AB0/fsZn8w4OtisqKkJpaZl8vGIYems2+msuemsuemuuvN6WFK7jAQAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYL9ncBq1ev1jvvvKPw8HDZ7XaNHTtWDRo0KHBsUlKS5s6dq7Nnzyo7O1sRERH661//qhtuuKGUqwYAAEBZ4dcjvNu2bdOoUaM0efJkLViwQPfff78effRRZWRkFDh+7NixuuOOOzR37lwtXLhQN954ox555BGdOHGilCsHAABAWeHXwDtz5kx16NBBMTExkqTu3bvL6XRq2bJlBY5v0qSJ7r//fvfj/v3769SpU0pKSiqNcgEAAFAG+TXwbty4UU2bNnU/ttvtaty4caEBdsqUKbLb/3/JYWFhkqScnBzfFgoAAIAyy2/n8KalpenMmTOKjo72mB4dHa3t27cXaR5btmxReHi4Onbs6NV72+022e02r15TVEFBdo//whz01mz011z01lz01lwl3VO/Bd6srCxJUmhoqMf00NBQ93OXYlmW3nnnHQ0fPlyVKlXy6r0rVYqQzeabwJsnMrKcT+cP/6G3ZqO/5qK35qK3uBy/Bd7w8HBJksPh8JjucDjcz11KQkKCqlWrpsGDB3v93idPZvr0CG9kZDmlp5+T0+nyyXvAP+it2eivueitueitufJ6W1L8FnijoqJUsWJFpaamekxPTU1VnTp1Lvnajz76SNu3b9f06dOL9d4ulyWXyyrWa4vK6XQpN5cfPhPRW7PRX3PRW3PRW1yOX096adu2rZKTk92PLcvSzp071b59+0Jf88knn2jVqlVKSEhQaGioUlJSuEoDAAAACuXXwDtkyBB9+eWX2r9/vyRpxYoVstvt6tGjhyRpzJgxeuGFF9zj169fr7i4OD399NPas2ePtm/frq+//lrff/+9P8oHAABAGeDXO601a9ZMEydO1MiRI913Wps9e7YqVKggScrOzlZubq57/JgxY5SWlqaBAwd6zGfo0KGlWjcAAADKDptlWb49mTUAHT9+xmfzDg62KyoqQmlpmZxPZBh6azb6ay56ay56a6683pYULlwHAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwWrC/C1i9erXeeecdhYeHy263a+zYsWrQoEGh4zdv3qxJkyYpNDRUDodDo0aNUsuWLUux4pKz93Ca5q3eo3PZuSoXFqx+nRuofu2oEpv/idPntHpzijKzchURHqzOLeuo8lXlSmx8oNXjzXhv1/3ew2mav3qPsnNdCgu2q+9lxn+/+5g++HyPcnKcCgkJ0sAuDXRzw+olNt7b+n1dj7e98rb+0pj/mu+PKNeyFGyzqdPNtUpsW/vvj4f04dp9cjotBQXZ1OfO69SxRd0SW1ZfbzuB1ltf76d8vV/2lq+X15d8vR8JNIFWf6DV4282y7Isf735tm3bNHDgQC1evFgxMTFatmyZ3nzzTa1atUoVKlTIN/7IkSPq3r273n77bbVp00bffvutnnrqKa1YsUK1atUq8vseP36mJBfDQ3CwXVFREUpLy1RurqvAMY7cXL0861v9fior33NVrw7XK4+1Vmhw8f8WcbpcmrNql7b/ckLpZ3Pc0yPLh6hpTGUN6tpIQXZ7sccHWj3ejPd23Xs7/pwjRyMTvlZWTv7eh4fYFffsLSoXGlLs8YFWj7e98rb+QJu/N+Mzshx67q0NchWwh7XbpKnDb1WF8NBi1+Lrbacsr/uLBcJ+2Vu+3i/7kq/3IxcqSm99LdB6FWj1FFdeb0uKX5d45syZ6tChg2JiYiRJ3bt3l9Pp1LJlywocn5iYqJiYGLVp00aS1Lp1a9WrV0/z5s0rrZJLRGE7VUn6/VSWXp713RXNf86qXfo6+ZjHhi5J6Wdz9HXyMc35dPcVjQ+0erwZ7+2693Z8YTt5ScrKcWlkQtIVjQ+0erztlbf1B9r8vRlfWNiVJJclPffW11dUi6+3nbK87ovD1/tlb/l6eX3J1/uRQBNo9QdaPYHCr4F348aNatq0qfux3W5X48aNlZSUVOD4pKQkj/GS1LRp00LHB6K9h9MK3anmOX7qnPYeTivW/E+cPqftv5y45Jjtv6TqxOlzxRofaPV4M97bde/t+O93Hyt0J58nK8ep73cfK9b4QKvH2155W3+gzd+b8f/98VChYTePy7L03x8PFasWX287ZXndF4ev98ve8vXy+pKv9yOBJtDqD7R6AonfAm9aWprOnDmj6Ohoj+nR0dFKSUkp8DUpKSlejS+M3W5TcLDdJ/+Cgs6v0qCggp+fv3rPZeuzJM1fs6dY77/m+yP5/qq7WHpmjtb+cKRY4wOtHm/Ge7vuvR0/9/PLj5ekuZ8Xb3yg1eNtr7ytP9Dm7834D9fuu2wtkvTh2n3FqsXX205ZXveBuF/29X4zkP75ej/ibW//aL0KtHqu5F9eb0uK3760lpV1/q/p0NBQj+mhoaHu5wp6jTfjC1OpUoRsNptXr/FWZGTBJ4ZnF/EcI0eOq1jnruQW8ZTsXJcUFRXh9fhAq8eb8d6ue2/H5xRxfG5u8cYHWj3e9srb+gNt/t6MdzqLNtbptIpVi6+3nbK87i+1n/LXftlbvt4v+5Kv9yOFKay3vhZovQq0egKJ3wJveHi4JMnhcHhMdzgc7ucKeo034wtz8mSm7HbfBN6gILsiI8spPf2cnM78P/hhwUX7iyU0xK60tEyv3z+4iEE+2C6lpWV6PT7Q6vFmvLfr3tvxIcF2ZTmcl68luHjjA60eb3vlbf2BNn9vxgcF2eTKvfwvnqAgW7Fq8fW2U5bXfUH7KX/vl73l6/2yL/l6P3Kxy/XW1wKtV4FWz5XI621J8dspDVFRUapYsaJSU1M9pqempqpOnToFvqZOnTpejS+My2UpN9flk395P3BOZ8HP9+1c+CXX8tgk9e3UoFjv3+nmWoosH3LJ+UdGhOjOm2oVa3yg1ePNeG/XvbfjB3S5/HhJGtCleOMDrR5ve+Vt/YE2f2/G97nzusvWIkl97ryuWLX4etspy+s+EPfLvt5vBtI/X+9HvO3tH61XgVbPlfwr6T9g/PqltbZt2yo5Odn92LIs7dy5U+3bty9wfLt27TzGS1JycnKh4wNR/dpRqnr1pY9IV7k6vNjXfax8VTk1jal8yTFN61V2X4vP2/GBVo83471d996Ov7lhdYWHXPpHKjzE7r4OpbfjA60eb3vlbf2BNn9vxndsUVeX+xDJbpP7erze1uLrbacsr/vi8PV+2Vu+Xl5f8vV+JNAEWv2BVk8g8WvgHTJkiL788kvt379fkrRixQrZ7Xb16NFDkjRmzBi98MIL7vEDBgzQvn379N135y8Ps3nzZu3bt0/9+vUr9dqvxCuPtVbVq8vp4t+HNv3/6z1eiUFdG+mWpjUUGeH5V15kRIhuaVJdg7o2uqLxgVaPN+O9Xffejo979haFhwTlXwn6/9efvJLxgVaPt73ytv5Am78346cOv1X2Qj5ezLsO75XU4uttpyyv++Lw9X7ZW75eXl/y9X4k0ARa/YFWT6Dw640npEvfae35559Xbm6u4uPj3ePz7rQWEhIih8Oh0aNHe32nNX/feCJP3h19srJzVT4sRP3uaqCYWleXWC15d1k5m5WriPAQdW5VR5UiCz+K4e34QKvHm/Hervu8O605cl0KCwlSv86XHp93h6HcHKdCQ4I08O5YtYitVmLjva3f1/V42ytv6y+N+a/5/oic1vlz2zrdXLvEtrWL77TWt1N9/al54adhebusvt52Aq23xdlPBdJ+2Vu+3i/7kq/3I1Jg3HgiT6D1KtDq8VZeb0uK3wOvPwRK4EXZQm/NRn/NRW/NRW/NVdKBN/DvLQcAAABcAQIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjGazLMvydxEAAACAr3CEFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARgv2dwFl1apVq7Ro0SI5nU5lZGSoZs2aGjVqlOrUqeMe89FHH2nhwoUKCwtTZGSkxo0bp2rVqvmxalzOmjVr9PHHH8vhcCgrK0vZ2dl67LHH1LVrV49x9LbsS0xM1Pjx4zV37ly1adPGPZ3elk0JCQlas2aNIiMj3dMqVKigd955x/2Y3pZtR44c0RtvvKGTJ08qLS1NISEhGjVqlNq2bSuJ/pZVd999t6pUqeIx7dixY6patarmz58vqYR6a6FYGjdubH311VeWZVmW0+m0Ro8ebd11111WVlaWZVmW9fnnn1vt27e3UlNTLcuyrISEBOvee++1nE6n32rG5Q0ePNhaunSp+/HatWutRo0aWbt27XJPo7dl37Fjx6yOHTtasbGx1jfffOOeTm/Lrvj4eI9eXozelm0nTpyw7rjjDispKcmyLMtyuVzW8OHDrcTERMuy6G9Z1q9fv3zTnn32WWvevHmWZZVcbzmloZjuuOMO3XrrrZIku92uvn376sCBA9qxY4ck6V//+pd69OihypUrS5IGDhyoPXv26Msvv/Rbzbi8ESNG6J577nE/bt26tVwulw4dOuSeRm/LvvHjx2vIkCH5ptNbc9Hbsm3WrFlq1qyZ2rVrJ0my2WwaNWqUOnbsKIn+lmWvvfaax+NTp07p66+/dv8uLqneEniLKT4+3uNxWFiYJCknJ0enT5/Wjh071LRpU/fzFStW1LXXXqukpKRSrRPeadKkiYKDz5/pk5OTo9mzZ6t+/fpq3769JNFbA6xbt07BwcG67bbbPKbTW3PR27Lviy++UKtWrTym1axZU7Vr16a/ZdyFp4JK0n/+8x/96U9/0lVXXVWiveUc3hKyZcsWVa1aVTfddJN2794tSYqOjvYYEx0drZSUFH+UBy/985//1MqVK1W/fn3Nnj1bERERkuTuH70tm86ePaspU6Zo9uzZcjgcHs/R27Jv8eLFmjZtmnJycnTNNdfomWeeUd26deltGXf27FmlpKTIsiyNHDlSR44cUbly5dS7d2/dfffd9NcwS5Ys0XPPPSepZPfLHOEtAQ6HQ7Nnz9ZLL72kkJAQZWVlSZJCQ0M9xoWGhrqfQ2AbO3asNm3apHbt2qlPnz76/fffJYnelnFvvfWWHnroIVWtWjXfc/S2bKtRo4ZuuOEGvf/++1qwYIFq166tnj176rfffqO3ZdyZM2ckSVOnTtXgwYP10UcfacSIERo1apRWrVpFfw2yd+9epaam6pZbbpFUsvtlAm8JePnll9WlSxd16dJFkhQeHi5J+Y4gORwO93MIfEFBQXr22WdlWZbef/99SfS2LNu5c6e2bt2qPn36FPg8vS3b7r//fg0aNEjBwcGy2+16+umnFRYWpgULFtDbMs5ms0mSOnbsqMaNG0uSmjVrps6dO2vOnDn01yBLlixRjx49ZLefj6cl2VsC7xWaPHmygoKCNGLECPe0vPNRUlNTPcampqbmO1cFgeXiHyq73a5rrrlG+/btk0Rvy7L169crOztbAwcOVP/+/fX8889LOv+Fif79+8vlckmit6YICgpSrVq1dOjQIX5uy7hKlSopNDRU1atX95hes2ZNHT58mP4awul0auXKlerZs6d7Wkn2lsB7BWbMmKEjR45o3LhxstlsSk5OVnJysq666irdcMMNSk5Odo/NyMjQgQMH3F9+QmC68Actz/Hjx90fgdPbsuuZZ57R0qVLlZiYqMTERL355puSpL/97W9KTExUs2bN6G0ZNn78+HzTfv/9d1WvXp2f2zIuODhYzZs31/Hjxz2mp6amqkaNGvTXEBs2bFDdunV1zTXXuKeVZG8JvMX04YcfasWKFRowYIB27Nih7du3a/369fr5558lSU899ZSWLVumkydPSpLmzp2rBg0aqEOHDv4sG5exd+9e/fe//3U/Xr58ufbv368ePXq4p9Fbc9HbsmvdunVau3at+/HHH3+sEydO6P7775dEb8u6xx9/XGvWrHF/UenIkSNas2aN+vfvL4n+mmDp0qUFHnQqqd7aLMuySqTSP5CMjAy1atXK/RHohSZMmOBu2Icffqh///vf7juDvPLKK/k+kkFgSUxM1H/+8x/Z7XZ3f5988kn3tR7z0Nuy7dVXX9XWrVu1detWNWrUSDExMZoyZYokeltWrVy5Uh9//LEsy1JOTo5CQkI0fPhwtWzZ0j2G3pZty5cvd5+z63Q69eCDD7r/oJHob1mWnp6uzp07a926de6rIl2oJHpL4AUAAIDROKUBAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAQwFatWqWGDRtq3bp1/i4FAMosAi8ABLDFixcrKChIH3/8sb9LAYAyi8ALAAHq119/1bFjx9StWzf973//0/Hjx/1dEgCUScH+LgAAULAlS5bovvvuU7NmzbRs2TItXbpUQ4YMcT+fk5OjSZMmafXq1apZs6aqVq2qBg0aKD4+Xq1bt9bw4cPVsmVLZWRkaPLkyfrhhx8UGRmp3NxcDRo0SHfffbcflw4ASg+BFwACkGVZWrFihRYsWKDKlSurbt26Wrx4sUfgnTJlilatWqWPP/5YNWvW1G+//aaHHnpIkpSYmOiez5NPPqny5ctr0aJFCg0N1a5du/TAAw8oODhYnTp18svyAUBp4pQGAAhASUlJatCggaKjo2Wz2XTffffpwIED+vbbbyVJ586dU2Jiorp3766aNWtKkqpVq6Zu3bp5zOebb77Rd999p8cff1yhoaGSpEaNGqlt27aaNWtW6S4UAPgJR3gBIAAtWrRIvXr1cj/u2bOnEhIStGjRIrVu3VoHDx6Uw+HQNddc4/G62rVrezxOTk6WJE2ePNkdeCUpLS1NISEhPlwCAAgcBF4ACDCnTp3Shg0b9Pvvv+v99993T4+MjNTnn3+uf/zjH+5plmUVaZ7jx49XgwYNSrxWACgLCLwAEGCWL1+u/v37a9iwYR7TV69eraFDh2rlypW67777FBYWpoMHD3qMOXz4sMfjJk2aSJL27t3rEXi///57bdy4UUOHDvXRUgBA4OAcXgAIMEuWLFHPnj3zTb/99ttVpUoVLVq0SOXKlVP//v21cuVKHT16VJL022+/6fPPP/d4Tdu2bdW6dWvNnDlT6enpkqSMjAy9/vrriomJ8f3CAEAAsFlF/TwMAOBTp06d0lNPPaXk5GQ1b95cM2fOVHh4uPv5ESNGaOPGjUpLS1PLli01fvx4LViwQF988YVq166t2rVrq0GDBpoyZYp27Njhfl1mZqbefPNNbdiwQdHR0XK5XOrdu7d69Ojhh6UEgNJH4AWAMurMmTMKDQ1VWFiYe9rbb7+tlStX6tNPP/VjZQAQWDilAQDKqMTERMXHx7sfnzhxQkuXLlXv3r39WBUABB6O8AJAGfXdd99p+vTpOnfunEJCQpSdna1u3bqpX79+sts5ngEAeQi8AAAAMBqHAAAAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYLT/BxsiemsQdUiiAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 800x550 with 1 Axes>"
]
},
"metadata": {
"filenames": {
"image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/chapter4_8_1.png"
}
},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"\n",
"# Common imports\n",
"import os\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.linear_model import LinearRegression, Ridge, Lasso\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.utils import resample\n",
"from sklearn.metrics import mean_squared_error\n",
"from IPython.display import display\n",
"from pylab import plt, mpl\n",
"plt.style.use('seaborn')\n",
"mpl.rcParams['font.family'] = 'serif'\n",
"\n",
"# Where to save the figures and data files\n",
"PROJECT_ROOT_DIR = \"Results\"\n",
"FIGURE_ID = \"Results/FigureFiles\"\n",
"DATA_ID = \"DataFiles/\"\n",
"\n",
"if not os.path.exists(PROJECT_ROOT_DIR):\n",
" os.mkdir(PROJECT_ROOT_DIR)\n",
"\n",
"if not os.path.exists(FIGURE_ID):\n",
" os.makedirs(FIGURE_ID)\n",
"\n",
"if not os.path.exists(DATA_ID):\n",
" os.makedirs(DATA_ID)\n",
"\n",
"def image_path(fig_id):\n",
" return os.path.join(FIGURE_ID, fig_id)\n",
"\n",
"def data_path(dat_id):\n",
" return os.path.join(DATA_ID, dat_id)\n",
"\n",
"def save_fig(fig_id):\n",
" plt.savefig(image_path(fig_id) + \".png\", format='png')\n",
"\n",
"infile = open(data_path(\"chddata.csv\"),'r')\n",
"\n",
"# Read the chd data as csv file and organize the data into arrays with age group, age, and chd\n",
"chd = pd.read_csv(infile, names=('ID', 'Age', 'Agegroup', 'CHD'))\n",
"chd.columns = ['ID', 'Age', 'Agegroup', 'CHD']\n",
"output = chd['CHD']\n",
"age = chd['Age']\n",
"agegroup = chd['Agegroup']\n",
"numberID = chd['ID'] \n",
"display(chd)\n",
"\n",
"plt.scatter(age, output, marker='o')\n",
"plt.axis([18,70.0,-0.1, 1.2])\n",
"plt.xlabel(r'Age')\n",
"plt.ylabel(r'CHD')\n",
"plt.title(r'Age distribution and Coronary heart disease')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "2e06ee82",
"metadata": {
"editable": true
},
"source": [
"What we could attempt however is to plot the mean value for each group."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "a774f001",
"metadata": {
"collapsed": false,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 800x550 with 1 Axes>"
]
},
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"image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/chapter4_10_0.png"
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],
"source": [
"agegroupmean = np.array([0.1, 0.133, 0.250, 0.333, 0.462, 0.625, 0.765, 0.800])\n",
"group = np.array([1, 2, 3, 4, 5, 6, 7, 8])\n",
"plt.plot(group, agegroupmean, \"r-\")\n",
"plt.axis([0,9,0, 1.0])\n",
"plt.xlabel(r'Age group')\n",
"plt.ylabel(r'CHD mean values')\n",
"plt.title(r'Mean values for each age group')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "e102fa56",
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"source": [
"We are now trying to find a function $f(y\\vert x)$, that is a function which gives us an expected value for the output $y$ with a given input $x$.\n",
"In standard linear regression with a linear dependence on $x$, we would write this in terms of our model"
]
},
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"cell_type": "markdown",
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"source": [
"$$\n",
"f(y_i\\vert x_i)=\\beta_0+\\beta_1 x_i.\n",
"$$"
]
},
{
"cell_type": "markdown",
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"source": [
"This expression implies however that $f(y_i\\vert x_i)$ could take any\n",
"value from minus infinity to plus infinity. If we however let\n",
"$f(y\\vert y)$ be represented by the mean value, the above example\n",
"shows us that we can constrain the function to take values between\n",
"zero and one, that is we have $0 \\le f(y_i\\vert x_i) \\le 1$. Looking\n",
"at our last curve we see also that it has an S-shaped form. This leads\n",
"us to a very popular model for the function $f$, namely the so-called\n",
"Sigmoid function or logistic model. We will consider this function as\n",
"representing the probability for finding a value of $y_i$ with a given\n",
"$x_i$."
]
},
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"source": [
"## The logistic function\n",
"\n",
"Another widely studied model, is the so-called \n",
"perceptron model, which is an example of a \"hard classification\" model. We\n",
"will encounter this model when we discuss 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, and the coronary heart disease data forms one of many such examples, 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,"
]
},
{
"cell_type": "markdown",
"id": "80aa3cbe",
"metadata": {
"editable": true
},
"source": [
"$$\n",
"p(t) = \\frac{1}{1+\\mathrm \\exp{-t}}=\\frac{\\exp{t}}{1+\\mathrm \\exp{t}}.\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "28d49915",
"metadata": {
"editable": true
},
"source": [
"Note that $1-p(t)= p(-t)$."
]
},
{
"cell_type": "markdown",
"id": "eeff6cd9",
"metadata": {
"editable": true
},
"source": [
"## Examples of likelihood functions used in logistic regression and neural 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": 3,
"id": "5ecec05e",
"metadata": {
"collapsed": false,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 800x550 with 1 Axes>"
]
},
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"filenames": {
"image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/chapter4_18_0.png"
}
},
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},
{
"data": {
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\n",
"text/plain": [
"<Figure size 800x550 with 1 Axes>"
]
},
"metadata": {
"filenames": {
"image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/chapter4_18_1.png"
}
},
"output_type": "display_data"
},
{
"data": {
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26E6HXRdOGKArpwxRZmqcyRUC6AiBFgAQ9fyBgNZuPKCV/9yjukavpJZbyn7j7MG68twhSkmMMblCACdDoAUARLV9h2q15M0tKin7atWCs0dl6rpLR6gvZ2SBsECgBQBEJX8goNXr92nVR3uD0wuy+ibqe98YqTHZaSZXB6ArCLQAgKhzqKJBz76xRbsP1EiS3C67rrt4hC6ZOEh2O3fwAsINgRYAEDUMw9D7n5fqL+/ulKd1Pdnhg5J1+7fHql9avMnVAeguAi0AICp4fQE99/et+qjwkCTJYbdpxoXDdNWUbM7KAmGOQAsAiHjV9R499UqhdpZWS5IG9InXndPHsZ4sECEItACAiLbvUK0WvLJJFTXNkqQzh/fRnOnjuMMXEEF4NwMAItaGrUf07Jtb5PG2zJe9asoQXZM3nCkGQIQh0AIAItKHmw7qj6u/lKGWu33dctUYTRvf3+yyAIQAgRYAEHE++OKA/vS3rTIkJcW7dO+1EzR8YIrZZQEIEQItACCivP95qZ77+zZJUnKCWw9+b6IGZSSYXBWAUCLQAgAixjv/LtELb2+XJKUkupX/vYka0IcwC0Q6Ai0AICK8vaFYL67ZIUlKTXQrf/Yk9U/nZglANCDQAgDC3qdbjwTDbFpSjPJnT+TOX0AUIdACAMLartJqPfvGFkktc2Yf+v4k9U2NM7kqAL3JbnYBAAB0V3lVoxas2CSvLyC30677rp1AmAWiEIEWABCWGpp8+t3Lm1TT4JVN0h1Xj9WwAclmlwXABARaAEDY8fkDWrSyUAfK6yVJ114yXGeP7mtyVQDMQqAFAISdF9fs0Oa9lZKki84cqCvPHWJyRQDMRKAFAISVT748rPc+L5UkjR2aphv/Y5RsNpvJVQEwE4EWABA2yqsa9ae3Wu4Clp4co7tnjJfTwf/KgGjHpwAAICz4AwE98/oWNTb7ZLNJc64ep4RYl9llAbAAAi0AICy8/tFe7SytliRdfd5QjcpKNbcgAJZBoAUAWN724iq9vm6vJGnE4BRdff5QU+sBYC0EWgCApdU3efXM65tlGFJcjFNzrh4rh53/fQH4Cp8IAABLW/b3baqoaZYk3XzVGGWkcCcwAO0RaAEAlrVpV7k++fKIJOnCCQN0zhhungDgeARaAIAlNXv9ev4f2yVJKYluzfrGSJMrAmBVBFoAgCW9uX6vyqubJEnf+8ZIxcU4Ta4IgFURaAEAlnOgvF5/+3i/JGncsHSmGgA4KQItAMBSDMPQ8//YJn/AkNNh59a2AE6JQAsAsJT1mw9p6/4qSdK3p2WrX1q8uQUBsDwCLQDAMuoavfrLuzslSf3S4nTV1GyTKwIQDkI+w/7tt9/WokWLFBsbK7vdrkcffVQjR3Z8pepNN9103LbKykrV1dXp/ffflyQtWLBAa9asUXJycnBMYmKiFi1aFJL6AQC959UPdqu2wStJuvGK0XI5Oe8C4NRCGmg3bdqk/Px8rVixQjk5OVq5cqVuu+02rV69WomJiR3us2zZsnaPH3/88ePG/PznP9eUKVNCUjMAwByHKhq0duMBSdK5Z/TVuKHpJlcEIFyE9FffxYsXKy8vTzk5OZKk6dOny+/3a+XKlR2Of+yxx9o99vv9ev3113XNNdeEskwAgAW8+sFuBQxDTodN11483OxyAISRkAba9evXKzc396sXs9s1btw4rVu3rsPxWVlZ7R7/85//1MCBAzVixIhQlgkAMNm+Q7X6dGvLHcEuPmsQt7cF0CUhm3JQWVmp2tpaZWRktNuekZGhwsLCTh3jlVde0cyZM4/bvmLFCi1cuFBer1fZ2dm65557NGTIkC7VZ7fbZLd3bRkYh8Pe7ivMQy+sg15YQ7j34dV/7pYkxbgcmnFRjpxhPHc23HsRSeiFNfRGH0IWaJuaWu7u4na72213u93B506murpa69ev169+9at22wcMGKCkpCQ99thjstvteuqppzRz5ky9+eab6tevX6frS09P6Pa6hsnJnDmwCnphHfTCGsKxD0W7yrVp11FJ0oy84coenGZyRT0jHHsRqeiFNYSyDyELtLGxsZIkj8fTbrvH4wk+dzJvvPGGLrroIiUlJbXbfu2117Z7/KMf/UjLly/Xn//8Z91///2drq+ior5bZ2iTk+NUU9Movz/QpX3Rs+iFddALawjXPhiGoT+sKpIkJcS5dMlZA1VZWW9yVacnXHsRieiFNZxOH9LSEjo1LmSBNi0tTUlJSSovL2+3vby8/Li5sh159dVXNXfu3FOOczgcGjRokPbv39+l+gIBQ4GA0aV92vj9Afl8vDGsgF5YB72whnDrw8ad5dpRUi1J+ubUIXI77WFV/8mEWy8iGb2whlD2IaSTSqZOnaqioqLgY8MwtGXLFp133nkn3W/Xrl2qqKjQ1KlTj3tu3rx5x207cuSI+vfvf/oFAwB6TcAw9MralrmzqYlufWPSYJMrAhCuQhpo58yZo7Vr12rPnj2SpFWrVslut2vGjBmSpIcfflgPPvjgcfu98sormjFjRodzXN9991298847wccvvfSSjh49etxUBACAtX2y5bBKyuokSdPPHya3y2FyRQDCVUhvrDBhwgQ9/vjjmjt3bvBOYUuWLAneVKG5uVk+n6/dPm1rz77wwgsdHvP+++/Xn/70Jy1dulRer1cul0t//OMfNXw4axYCQLgIGIZeX7dXktQ3LU4XTBhgbkEAwprNMIzuTSQNc2VltV3ex+m0Ky0tQZWV9czFMRm9sA56YQ3h1oeNO8o1f8UmSdKt3zwjogJtuPUiktELazidPmRmJp16kEI85QAAgI689a99klrmzk4d1/klFwGgIwRaAECv2nWgWttbVza4fHKWnCx6D+A08SkCAOhVb/2rZZnFWLdDeWcNMrkaAJGAQAsA6DVHKhv02bYySVLeWQMVHxvSa5MBRAkCLQCg1/z902IZkhx2my6ffOqb7ABAZxBoAQC9orbBo482HZQknXtGX6Unn/o26ADQGQRaAECvePezUnlal+y54twhJlcDIJIQaAEAIefx+vXOv0skSeOGpWtIv86tLQkAnUGgBQCE3EdFh1TX6JUkXTmFs7MAehaBFgAQUoZh6N3Ws7ND+iZqbHaayRUBiDQEWgBASO0qrVFpeb0k6dKzB8tms5lcEYBIQ6AFAITU+xtLJbXcSOHcM/qaXA2ASESgBQCETH2TV59uPSJJmjquv2Ld3EgBQM8j0AIAQmZ90SF5W5fqyjtzoMnVAIhUBFoAQEgYhqG1XxyQJA3tn6Ts/izVBSA0CLQAgJDYdaBGpWUtF4PlncXZWQChQ6AFAITE2s9bLgaLcTs0ZWw/k6sBEMkItACAHlff5NUnrReDTRvbj4vBAIQUgRYA0OM+3nz4q4vBzhpkcjUAIh2BFgDQowzD0NrWtWezuRgMQC8g0AIAetSuAzUq4WIwAL2IQAsA6FH/bF2qK8bl0JQzuBgMQOgRaAEAPcbr82vDtjJJ0jlj+iouhovBAIQegRYA0GM27apQY7NPkjR1HGdnAfQOAi0AoMd8vOWQJCkl0a0xQ9JMrgZAtCDQAgB6REOTT1/sPCpJmnJGP9ntNpMrAhAtCLQAgB7x2fYy+fwta89yZzAAvYlACwDoEf9qnW7QLy1OQ1l7FkAvItACAE5bdV2ztuyrlCRNHddfNhvTDQD0HgItAOC0ffLlERlGy/dMNwDQ2wi0AIDT9vGWw5Kkof2T1D893uRqAEQbAi0A4LQcrmjQnoM1klqmGwBAbyPQAgBOy79az87aJJ17Rl9ziwEQlQi0AIBuMwwjON1gTHaaUhNjTK4IQDQi0AIAum3/4TodqmiQxK1uAZiHQAsA6La26QZOh11nj2K6AQBzEGgBAN1iGIb+vf2IJGn8sHTFxzpNrghAtCLQAgC6paSsXmVVTZKkSaMyTa4GQDQj0AIAuuWz7WWSJLvNprNGZphcDYBoRqAFAHRLW6AdlZWixDiXydUAiGYEWgBAl5VVNar4SJ0kphsAMF/IZ/C//fbbWrRokWJjY2W32/Xoo49q5MiRHY595ZVX9Mwzzygzs/2H4+LFixUbG9utYwIAel7b2VmJQAvAfCENtJs2bVJ+fr5WrFihnJwcrVy5UrfddptWr16txMTEDveZM2eOZs6c2aPHBAD0rLZAO7R/ktKTY08xGgBCK6RTDhYvXqy8vDzl5ORIkqZPny6/36+VK1da6pgAgM6rrvdoZ0m1JM7OArCGkAba9evXKzc396sXs9s1btw4rVu3zlLHBAB03sYdZTJavyfQArCCkE05qKysVG1trTIy2i/lkpGRocLCwhPu9/7772vlypXyer3q27ev7rzzTo0dO/a0jtkRu90mu93WpX0cDnu7rzAPvbAOemENvdmHz3eUS5IG9InXkP5JIX+9cMN7wjrohTX0Rh9CFmibmloW23a73e22u93u4HNf16dPH2VnZ+u3v/2t3G63VqxYoeuvv15//etfNXbs2G4d80TS0xNks3Ut0LZJTo7r1n7oefTCOuiFNYS6Dw1NXm3ZWylJOv/MQUpLSwjp64Uz3hPWQS+sIZR9CFmgbVuVwOPxtNvu8XjarVhwrLy8POXl5QUfX3PNNfrzn/+sJUuW6IknnujWMU+koqK+W2dok5PjVFPTKL8/0KV90bPohXXQC2vorT58vPmQfK3HH5edqsrK+pC9VrjiPWEd9MIaTqcPnf2lOWSBNi0tTUlJSSovL2+3vby8XFlZWZ0+zpAhQ1RcXNyjx5SkQMBQIGCcemAH/P6AfD7eGFZAL6yDXlhDqPuwYesRSVJaUoyy+ibS85PgPWEd9MIaQtmHkE4qmTp1qoqKioKPDcPQli1bdN5553U4/oknnlBjY2O7bYcPH1b//v27fUwAQM/w+gLatOuoJGniyAzZuzltCwB6WkgD7Zw5c7R27Vrt2bNHkrRq1SrZ7XbNmDFDkvTwww/rwQcfDI7fuHGjXn755eDjjz76SJ9//rm+973vdfqYAIDQ+HJfhZo8fkmsbgDAWkJ6Y4UJEybo8ccf19y5c4N39VqyZEnwBgjNzc3y+XzB8bfffrteeOEFvfXWW/L7/TIMQwsWLNC0adM6fUwAQGhs3NlydjYh1qlRWanmFgMAx7AZhtG9iaRhrqystsv7OJ12paUlqLKynrk4JqMX1kEvrCHUfTAMQ/mL1uloTbOmjO2nO6eP6/HXiBS8J6yDXljD6fQhM7NzSwOyMBsA4JQOlNfraE2zJCk3J93kagCgPQItAOCUCndXSJJsksYP62NuMQDwNQRaAMApbdrVslzi0AHJSk5wn2I0APQuAi0A4KQam33aUVItiekGAKyJQAsAOKkteyvlb70RzYThGSZXAwDHI9ACAE6qcHfLdIOkeJeGDujcFccA0JsItACAEzIMI3hB2Phh6dwdDIAlEWgBACdUUlavytrW5bqGs7oBAGsi0AIATqhtdQObjeW6AFgXgRYAcEJt0w1yBiYrMc5lcjUA0DECLQCgQw1NXu1sXa5rQg5nZwFYF4EWANChzXsrFTBaluti/iwAKyPQAgA6VLjrqCQpOcGtIf1YrguAdRFoAQDHCRiGCne3BNrcHJbrAmBtBFoAwHGKD9eput4jScpl/iwAiyPQAgCOU7Sn5eys3WbTuGHpJlcDACdHoAUAHGfL3kpJ0rCBSUqIZbkuANZGoAUAtNPs9WtHSZUkaWw2Z2cBWB+BFgDQzs6Savn8Lct1jR2aZnI1AHBqBFoAQDub97bcHcztsmv4oBSTqwGAUyPQAgDa2dIaaEdnpcnp4H8TAKyPTyoAQFBtg0f7D9dJYroBgPBBoAUABH25rzL4/dihXBAGIDwQaAEAQW3LdSXHuzQoM8HkagCgcwi0AICgtvmzZwzldrcAwgeBFgAgSTpS1ajy6iZJ0ths5s8CCB8EWgCApK/OzkrMnwUQXgi0AABJX82f7Zcerz4psSZXAwCdR6AFACgQMPRl6xlalusCEG4ItAAA7T9Sq/omnyRpbDbTDQCEFwItACA43cBmk8Zkp5pbDAB0EYEWABC8IGxo/2QlxLpMrgYAuoZACwBRzuP1a3txtSTmzwIITwRaAIhyO0ur5fMHJLFcF4DwRKAFgCi3dX/L/FmX064Rg5JNrgYAuo5ACwBRbuv+KknS8IHJcjkd5hYDAN1AoAWAKNbs8WvPgRpJ0pghzJ8FEJ4ItAAQxXYeqJY/YEiSRg9JNbcYAOgmAi0ARLFtx8yfzRnI/FkA4YlACwBRjPmzACIBgRYAohTzZwFECmeoX+Dtt9/WokWLFBsbK7vdrkcffVQjR47scOy6dev03HPPqaGhQc3NzUpISND/+l//S2PHjg2OWbBggdasWaPk5K/+NJaYmKhFixaF+kcBgIjC/FkAkSKkgXbTpk3Kz8/XihUrlJOTo5UrV+q2227T6tWrlZiYeNz4Rx99VHfccYeuv/56SdLvf/973XLLLVq9erX69OkTHPfzn/9cU6ZMCWXpABDxmD8LIFKEdMrB4sWLlZeXp5ycHEnS9OnT5ff7tXLlyg7Hjx8/Xtdee23w8U033aSqqiqtW7culGUCQFRi/iyASBHSQLt+/Xrl5uZ+9WJ2u8aNG3fCgPrkk0/Kbv+qpJiYGEmS1+sNZZkAEHWYPwsgkoRsykFlZaVqa2uVkZHRbntGRoYKCws7dYyNGzcqNjZWF198cbvtK1as0MKFC+X1epWdna177rlHQ4YM6VJ9drtNdrutS/s4HPZ2X2EeemEd9MIautqHrfsrg/Nnx+Wky+mkfz2F94R10Atr6I0+hCzQNjU1SZLcbne77W63O/jcyRiGoUWLFum+++5Tenp6cPuAAQOUlJSkxx57THa7XU899ZRmzpypN998U/369et0fenpCbLZuhZo2yQnx3VrP/Q8emEd9MIaOtuHPYf3SZLcTrvOHjeAKQchwHvCOuiFNYSyDyELtLGxsZIkj8fTbrvH4wk+dzILFixQv379dOutt7bbfuwcW0n60Y9+pOXLl+vPf/6z7r///k7XV1FR360ztMnJcaqpaZTfH+jSvuhZ9MI66IU1dLUPG7cdkSSNGJyiutpTn2RA5/GesA56YQ2n04e0tIROjQtZoE1LS1NSUpLKy8vbbS8vL1dWVtZJ912+fLkKCwv11FNPnfJ1HA6HBg0apP3793epvkDAUKD1z21d5fcH5PPxxrACemEd9MIaOtOHZo9fu1vnz47KSqVvIcJ7wjrohTWEsg8hnVQydepUFRUVBR8bhqEtW7bovPPOO+E+b7zxhlavXq0FCxbI7XaruLi43UVk8+bNO26fI0eOqH///j1bPABEqJ2lX60/ywVhACJBSAPtnDlztHbtWu3Zs0eStGrVKtntds2YMUOS9PDDD+vBBx8Mjn/vvff0xBNP6Ec/+pF27NihwsJCffTRR/r3v/8dHPPuu+/qnXfeCT5+6aWXdPTo0eOmIgAAOrb1mPVnhw1g/VkA4S+kN1aYMGGCHn/8cc2dOzd4p7AlS5YEb6rQ3Nwsn88XHP/www+rsrJSP/zhD9sd58c//nHw+/vvv19/+tOftHTpUnm9XrlcLv3xj3/U8OHDQ/mjAEDE2Na6/uyIQSlysboBgAhgMwyjexNJw1xZWW2X93E67UpLS1BlZT1zcUxGL6yDXlhDZ/vQ7PHrx7/7QP6AoRkXDtP084f1YpXRgfeEddALazidPmRmJnVqHL+aA0AUYf4sgEhEoAWAKLK9uEqS5HTYNWxA5858AIDVEWgBIIq0BdqcgcncTAFAxCDQAkCU8PoC2n2wbf3ZFJOrAYCeQ6AFgCix71CtvK0XZIwanGpuMQDQgwi0ABAlthW3rD9rs0nDB3GGFkDkINACQJTYUVItSRrSL0lxMSFdhhwAehWBFgCiQCBgBAPt6KxUc4sBgB5GoAWAKFBSVqfG5pY7M45k/iyACEOgBYAo0LZclySNZIUDABGGQAsAUWB763SDAX3ilRzvNrkaAOhZBFoAiHCGYQTP0I5i/iyACESgBYAId6SyUTX1HkkEWgCRiUALABHu2Pmz3FABQCQi0AJAhGsLtH2SY9QnJdbcYgAgBAi0ABDhtpdUSWK6AYDIRaAFgAhWWdussqomSdJIAi2ACEWgBYAIduz8We4QBiBSEWgBIIK1TTdIinepf3q8ucUAQIgQaAEggrWdoR05OFU2m83cYgAgRAi0ABCh6hq9Ki2rl8QFYQAiG4EWACLUztLq4PejslJMrAQAQotACwARakfr/NkYt0NZfRPNLQYAQohACwARakdJyxnaEQOT5bDzcQ8gcvEJBwARyOvza+/BGkktF4QBQCQj0AJABNpzsFY+vyFJGjmY+bMAIhuBFgAiUNv8WbvNppyBBFoAkY1ACwARqG3+bHb/RMW4HSZXAwChRaAFgAgTMAztbA20zJ8FEA0ItAAQYQ6U16uh2SeJ+bMAogOBFgAiTNt0A0kawRlaAFGAQAsAEabtgrB+aXFKSXCbWwwA9AICLQBEmB3FrTdUYLoBgChBoAWACHK0uklHa5okcUEYgOhBoAWACNI23UDigjAA0YNACwARZHtxlSQpMc6l/unx5hYDAL2EQAsAEaQt0I4cnCKbzWZuMQDQSwi0ABAh6hu9Kj5cJ4n5swCiC4EWACLE1n0VMlq/H5nF/FkA0YNACwARYsueCkmS22lXdr8kk6sBgN5DoAWACLFlz1FJUs7AZDkdfLwDiB7OUL/A22+/rUWLFik2NlZ2u12PPvqoRo4cecLxGzZsUEFBgdxutzwej/Lz8zV58uTTOiYARDqfP6Dt+yolcbtbANEnpIF206ZNys/P14oVK5STk6OVK1fqtttu0+rVq5WYmHjc+NLSUt155516+umnNWXKFH3yySe68847tWrVKg0aNKhbxwSAaLD3YK08voAk1p8FEH1C+jepxYsXKy8vTzk5OZKk6dOny+/3a+XKlR2OX7ZsmXJycjRlyhRJ0rnnnqthw4bp+eef7/YxASAatC3XZbNJIwYRaAFEl5AG2vXr1ys3N/erF7PbNW7cOK1bt67D8evWrWs3XpJyc3Pbje/qMQEgGrQF2qy+iYqLCflsMgCwlJB96lVWVqq2tlYZGRnttmdkZKiwsLDDfYqLi3XllVceN764uLjbxzwRu90mu71ri447Wi+ycHCxhenohXXQC/MZhhG85e3oIWlyOumFmXhPWAe9sIbe6EPIAm1TU5Mkye12t9vudruDz3W0z8nGd+eYJ5KentDtu+gkJ8d1az/0PHphHfTCPCVHalXb4JUknTW6r9LSEkyuCBLvCSuhF9YQyj6ELNDGxsZKkjweT7vtHo8n+FxH+5xsfHeOeSIVFfXdOkObnBynmppG+f2BLu2LnkUvrINemG9D0cHg91mZCaqsrDexGvCesA56YQ2n04fO/oIeskCblpampKQklZeXt9teXl6urKysDvfJyso66fjuHPNEAgFDgYBx6oEd8PsD8vl4Y1gBvbAOemGerftbluvqmxan1AQ3fbAI3hPWQS+sIZR9COmkkqlTp6qoqCj42DAMbdmyReedd16H46dNm9ZuvCQVFRW1G9/VYwJApNtRUi1JOmNoH5MrAQBzhDTQzpkzR2vXrtWePXskSatWrZLdbteMGTMkSQ8//LAefPDB4Pgf/OAH2rVrlz799FNJLTdZ2LVrl2688cZOHxMAokl1vUdHKhslSWNz0k2uBgDMEdK1XSZMmKDHH39cc+fODd7Va8mSJcEbIDQ3N8vn8wXHDxo0SP/zP/+jgoICuVwueTwePfPMM8GbKnTmmAAQTXa2rm4gSWOHcYYWQHSyGYbRvYmkYa6srLbL+ziddqWltVxwwVwcc9EL66AX5lr+zg7949Nixcc49eK8b6q6uoE+mIz3hHXQC2s4nT5kZiZ1ahwLswFAGGtbf3bE4JQur9wCAJGCQAsAYarZ49e+Q3WSpFFZqeYWAwAmItACQJjafbBGgdZZYwRaANGMQAsAYaptuoHDblPOwGRziwEAExFoASBMta0/O7R/ktwuh8nVAIB5CLQAEIYCAUO7SlsC7cjBqeYWAwAmI9ACQBgqKatTk8cvSRo5OMXkagDAXARaAAhDbdMNJGk4gRZAlCPQAkAYarsgrH96vJLj3eYWAwAmI9ACQJgxDCN4hpbpBgBAoAWAsHO0ukmVtc2SWu4QBgDRjkALAGFme+t0A4kbKgCARKAFgLDTNt0gJcGtvqlxJlcDAOYj0AJAmNleXCVJGpmVKpvNZm4xAGABBFoACCO1DR4dPNogiQvCAKANgRYAwsix68+O4g5hACCJQAsAYaVt/dm4GIey+iaaWwwAWASBFgDCyPbiljO0wwelyG5n/iwASARaAAgbzR6/9h+ulSSNZLoBAAQRaAEgTOw6UC1/wJAkjeKCMAAIItACQJhouyDM6bApZ2CyydUAgHUQaAEgTLStPzt0QLJcToe5xQCAhRBoASAM+PwB7TrQcoaW9WcBoD0CLQCEgeIjdfJ4A5JYfxYAvo5ACwBhoG26gU2coQWAryPQAkAYaAu0gzITFR/rMrcYALAYAi0AWJxhGMEVDkZmcXYWAL6OQAsAFneookF1jV5JzJ8FgI4QaAHA4tqmG0jSqKxU0+oAAKsi0AKAxW0vbplukJESq7SkGJOrAQDrIdACgMXtKKmSJI1kugEAdIhACwAWVlHTpPLqJknSKC4IA4AOEWgBwMK27a8Kfj96SJp5hQCAhRFoAcDCthVXSpJSEtzqlxZncjUAYE0EWgCwsLYztKOHpMpms5lbDABYFIEWACyqqq5ZhysbJUmjWa4LAE6IQAsAFnXs/NlRzJ8FgBMi0AKARW1rvaFCUrxLA/vEm1sMAFgYgRYALGrb/pYLwkZlMX8WAE6GQAsAFlRT79HBow2SmD8LAKdCoAUAC9reOt1AYv1ZADgVZygP7vF4VFBQoM8++0ySNGnSJOXn58vtdnc4vrGxUcuXL9eaNWtkt9tVV1enc889V/fee68SEhKC46688kplZma22/eqq67S7NmzQ/fDAEAvarsgLCHWqUGZCScfDABRLqSBtqCgQDt37tRLL70kSbr99ttVUFCgRx55pMPxmzdv1uLFi/XKK6+of//+qq2t1ezZs1VZWamCgoLguMzMTC1btiyUpQOAqdpuqDAqK1V25s8CwEmFbMpBZWWlli9frltuuUUOh0MOh0M333yzli9frqqqqg73SUxM1E033aT+/ftLkpKSkjRjxgy99dZb8vv9oSoVACylrtGrkrJ6ScyfBYDOCFmg3bBhg7xer3Jzc4PbcnNz5fV6tWHDhg73GTNmjO6+++5222JiYhQIBBQIBEJVKgBYCvNnAaBrQjbloLi4WE6nU+np6cFt6enpcjgcKi4u7vRxPv/8c1166aVyuVzBbQ0NDXr44Ye1f/9+2e12XXDBBbrllltOODe3I3a7TXZ71/6M53DY232FeeiFddCLnrejpEqSFBfj0LCByZ36rKIP1kEvrINeWENv9CFkgbaxsbFdCG3jcrnU2NjYqWPs2rVLH374oVasWNFu+7BhwzR79mzl5uaqvLxcc+bM0ebNmzV//vxO15eentDtdR2Tk+O6tR96Hr2wDnrRc3aU1kiSxuVkqE+fxC7tSx+sg15YB72whlD2ocuBdsGCBVq4cOFJx7z88suKi4uT1+s97jmv16u4uFP/QHV1dZo7d64KCgo0ePDgds/99re/DX6fkZGhe++9V3feeaf27t2roUOHdurnqKio79YZ2uTkONXUNMrvZwqEmeiFddCLnlXf5NWe0mpJ0vABSaqsrO/UfvTBOuiFddALazidPqSldW6Vly4H2ltvvVWzZs06xYun6dChQ/L5fKqoqAhOO6ioqJDf71dWVtZJ929ubtY999yjH/7wh8rLyztlTW3H279/f6cDbSBgKBAwOjX26/z+gHw+3hhWQC+sg170jC/3Vqrtk2nE4JQu/zelD9ZBL6yDXlhDKPvQ5ckMCQkJyszMPOk/p9OpyZMny+VyqaioKLhvYWGhXC6XJk+efMLj+3w+3XffffqP//gPffe735Uk/e1vf1N1dcsZi23btgWXAWtz5MgRSdKAAQO6+uMAgKVsb11/NsblUHa/JHOLAYAwEbLZuWlpaZo1a5aWLl0qv9+vQCCg5557TrNmzVJqaqqkljO2eXl5ev/99yVJgUBADz30kOLj4zVhwgQVFhaqsLBQr732mmprayVJVVVVevbZZ4NLfzU1NWnx4sU655xzNGLEiFD9OADQK9rWnx0xOEVOLmQBgE4J6Y0V8vPzVVBQoOuuu06SNHHiROXn5wefDwQCampqks/nkyR98MEHeuONNyRJb775Zrtjtd2MYfTo0briiit0xx13KDY2VvX19Ro/frx++tOfdvsiLwCwgsZmn/YdqpPE+rMA0BUhDbRut/uEdwWTWi7o+te//hV8fPHFF2vbtm0nPWZqaqoeeOCBHqsRAKxi2/4qBYyWGbRnDGX9WQDoLP6eBQAW8eW+lukGcTEODe3P/FkA6CwCLQBYxJf7KiRJo7PS5LDz8QwAncUnJgBYQE29RyVlLWvOjslmugEAdAWBFgAsYOv+yuD3Ywm0ANAlBFoAsIC2+bNJ8S4NyuzcnXEAAC0ItABgAV/ubQm0Z2SnsQQhAHQRgRYATFZe3agjVY2SWgItAKBrCLQAYLK26QYSgRYAuoNACwAm29oaaPskxyozNc7kagAg/BBoAcBEhmFoS2ugPWMo82cBoDsItABgooNHG1Rd55HEdAMA6C4CLQCYiPmzAHD6CLQAYKK2QDugT7xSE2NMrgYAwhOBFgBMEggY2tZ6h7Cx2ekmVwMA4YtACwAm2X+kVvVNPkktF4QBALqHQAsAJmmbbmCzSaOHpJpbDACEMQItAJik7Xa32f2SlBDrMrkaAAhfBFoAMIHX59f2kipJrG4AAKeLQAsAJtheUi2PNyBJGj+MC8IA4HQQaAHABEW7j0qSYlwOjRicam4xABDmCLQAYIKiPRWSpDFDUuVy8lEMAKeDT1EA6GUVNU0qLauXJI3P6WNyNQAQ/gi0ANDL2s7OStL4HObPAsDpItACQC9rC7R9U+PULy3e5GoAIPwRaAGgF/kDAW1pDbTjODsLAD2CQAsAvWjPwVo1NLfc7jZ3GPNnAaAnEGgBoBe1LdflsNs0JjvV3GIAIEIQaAGgFxXubpluMHJwimLdTpOrAYDIQKAFgF5S1+jV3oM1kqRclusCgB5DoAWAXrJ5T4WM1u/HcbtbAOgxBFoA6CVFe1rmz6YkuJXVN9HkagAgchBoAaAXGIahotb5s+OHpctms5lcEQBEDgItAPSC4iN1qq73SOJ2twDQ0wi0ANALNrfeTMEm5s8CQE8j0AJALyhsXX926IBkJca5TK4GACILgRYAQqy+yavtxdWSpFxudwsAPY5ACwAhVrj7qAJGy4JdE0dmmlwNAEQeAi0AhNjGHeWSpLSkGA3px3JdANDTCLQAEEI+fyA4f/askRks1wUAIUCgBYAQ2lZcpcZmvyRp4ogMk6sBgMjkDOXBPR6PCgoK9Nlnn0mSJk2apPz8fLnd7hPuc9NNNx237ZxzztG99957WscFADO0TTeIdTs0ekiaydUAQGQKaaAtKCjQzp079dJLL0mSbr/9dhUUFOiRRx456X7Lli0LyXEBoDcZhqGNO8oktdxMweXkj2IAEAoh+3StrKzU8uXLdcstt8jhcMjhcOjmm2/W8uXLVVVVZbnjAkBPKz5Sp6M1zZKYbgAAoRSyQLthwwZ5vV7l5uYGt+Xm5srr9WrDhg2WOy4A9LSNO1umG9htNuUO53a3ABAqIZtyUFxcLKfTqfT0rxYRT09Pl8PhUHFx8Un3nTdvnrZu3SrDMDRx4kTdddddSkxMPO3jAkBv+rx1/uzIwSncHQwAQihkgbaxsVEu1/Ef4C6XS42NjSfcb8yYMcrLy9Mjjzyiuro6PfDAA7rlllu0fPlyORyObh/36+x2m+z2ri2f43DY232FeeiFddCLjlXUNGnfoVpJ0tljMuUM8fxZ+mAd9MI66IU19EYfuhxoFyxYoIULF550zMsvv6y4uDh5vd7jnvN6vYqLizvhvr/4xS+C3ycmJurBBx/Ut7/9bX388cc6//zzu33cr0tPT+j2epDJyZ1/HYQWvbAOetHex18eCX5/8eRspaUl9Mrr0gfroBfWQS+sIZR96HKgvfXWWzVr1qyTjklLS9OhQ4fk8/lUUVERnB5QUVEhv9+vrKysTr/ekCFDJEn79+/X+eefr6ysrB45bkVFfbfO0CYnx6mmplF+f6BL+6Jn0QvroBcd+3BjqSRpUEaCYh1SZWV9SF+PPlgHvbAOemENp9OHzp4M6HKgTUhIUELCqQ8+efJkuVwuFRUV6aKLLpIkFRYWyuVyafLkyR3uc/ToUf31r3/V3XffHdx2+PBhSdKAAQO6fdyOBAKGAgGj0+OP5fcH5PPxxrACemEd9OIrjc0+bdlbIanl7mC9+d+FPlgHvbAOemENoexDyCYzpKWladasWVq6dKn8fr8CgYCee+45zZo1S6mpqZJazqzm5eXp/fffl9Qy73bp0qUqKSmRJPn9fj399NMaOnSopk2b1unjAoCZNu+pkM/f8gvzWSzXBQAhF9IbK+Tn56ugoEDXXXedJGnixInKz88PPh8IBNTU1CSfzydJyszM1C233KK5c+fK7XaroaFBQ4YM0R/+8AfFxMR0+rgAYKa21Q2SE9waNjDZ5GoAIPLZDMPo3t/dw1xZWW2X93E67UpLS1BlZT1/ujAZvbAOetGe1xfQTxd8qMZmny46c4BuvuqMXnld+mAd9MI66IU1nE4fMjOTOjWOdSwAoAdt3lOhxuaWvzqdM6afydUAQHQg0AJAD/pka8uFrEnxLo3JTjW3GACIEgRaAOghHq8/OH/27NF95bDzEQsAvYFPWwDoIYW7j6rZ45cknTumr8nVAED0INACQA/5pPXuYCkJbo3KSjW3GACIIgRaAOgBzR6/vtjVMt1g8pi+Xb4TIQCg+wi0ANADvthVLo+3ZTmac89gugEA9CYCLQD0gLbpBmlJMRo+KMXkagAguhBoAeA0NTb7tGnXUUnSOWP6ym5jugEA9CYCLQCcpo07yuXzt0w3OIfpBgDQ6wi0AHCaPvmy5WYKGSmxyhmQbHI1ABB9CLQAcBrqm7wq2lMhqWW6gY3pBgDQ6wi0AHAaPtteJn/AkCSde0Y/k6sBgOhEoAWA0/CvLS3TDfqmxWlIv0STqwGA6ESgBYBuKq9u1Jd7KyVJU8f2Y7oBAJiEQAsA3bSu8JAMSTZJF0wYYHY5ABC1CLQA0A0Bw9CHhQclSWcMTVNGSpzJFQFA9CLQAkA3bNtfpfLqJkmcnQUAsxFoAaAbPtx0QJIUF+PUpJGZJlcDANGNQAsAXdTQ5NOGbWWSWi4Gc7scJlcEANGNQAsAXfTJl4fl9bXc6pbpBgBgPgItAHTRPze1XAw2ODNBQ/snmVwNAIBACwBdUFpWpz0HayRJF0wYyNqzAGABBFoA6IK2pbocdpumjuNWtwBgBQRaAOgknz+gdUWHJElnjcxQcrzb5IoAABKBFgA6bdOuo6pt8EqSLuRiMACwDAItAHTS+xtLJUmpiW6NG5ZucjUAgDYEWgDohINH61W0u0KSdNGZA+Ww8/EJAFbBJzIAdMKaDSWSWi4Gu2TiIJOrAQAci0ALAKdQ3+TVR0UtqxtMGdtPKYkxJlcEADgWgRYATuGDLw7I4225M9jlk7NMrgYA8HUEWgA4CX8goHf+3TLdYNTgFGVzZzAAsBwCLQCcxGfby1VR0yxJuoyzswBgSQRaADiJtzcUS5L6JMdq4qgMk6sBAHSEQAsAJ7DnYI12llRLkr5x9mCW6gIAi+LTGQBOYE3r2dkYl0MXnsmdwQDAqgi0ANCBqrpmffLlEUnSebn9lRDrMrkiAMCJEGgBoAPv/LtE/oAhSbrs7MEmVwMAOBkCLQB8TV2jV2tal+o6c3gfDeiTYHJFAICTIdACwNf8/ZP9avb4JUnTLxhmcjUAgFMh0ALAMWobPO3Ozg4bkGxyRQCAU3GG8uAej0cFBQX67LPPJEmTJk1Sfn6+3G53h+NLSkp0ww03KCcnp9327du3a/bs2brvvvskSVdeeaUyMzPbjbnqqqs0e/bsEPwUAKLJPz4t5uwsAISZkAbagoIC7dy5Uy+99JIk6fbbb1dBQYEeeeSRE+5z4YUX6te//nXwsd/vV15enr75zW8Gt2VmZmrZsmWhKxxAVDr27OxZIzI4OwsAYSJkUw4qKyu1fPly3XLLLXI4HHI4HLr55pu1fPlyVVVVdbhPv379dP/997fb9sEHH6h///4aOXJkqEoFAEnS3z/56uzsdzg7CwBhI2SBdsOGDfJ6vcrNzQ1uy83Nldfr1YYNGzrcx+VyqV+/fu22vfrqq7rmmmtCVSYASJJqGjx655izs9n9k0yuCADQWSGbclBcXCyn06n09PTgtvT0dDkcDhUXF3fqGNXV1Vq3bp3mzZvXbntDQ4Mefvhh7d+/X3a7XRdccIFuueWWE87NBYBT+fsn+9Xs5ewsAISjkAXaxsZGuVzH31nH5XKpsbGxU8d44403lJeXp+Tk9vPYhg0bptmzZys3N1fl5eWaM2eONm/erPnz53e6PrvdJrvd1unxkuRw2Nt9hXnohXVEQi9q6j1699+lkqRJozI1fHCKyRV1XST0IVLQC+ugF9bQG33ocqBdsGCBFi5ceNIxL7/8suLi4uT1eo97zuv1Ki4urlOv9eqrrx43p1aSfvvb3wa/z8jI0L333qs777xTe/fu1dChQzt17PT0BNlsXQu0bZKTO1c/Qo9eWEc49+KltbuDZ2d/8K2xSksL3xsphHMfIg29sA56YQ2h7EOXA+2tt96qWbNmnXRMWlqaDh06JJ/Pp4qKiuC0g4qKCvn9fmVlZZ3ydXbt2qWjR49q2rRppxzbdrz9+/d3OtBWVNR36wxtcnKcamoa5fcHurQveha9sI5w70VJWZ3e/HCPJOncM/oqPcGlysp6k6vqunDvQyShF9ZBL6zhdPrQ2RMMXQ60CQkJSkg49cEnT54sl8uloqIiXXTRRZKkwsJCuVwuTZ48+ZT7v/LKK5oxY4bs9vanp7dt26ZNmzbpuuuuC247cuSIJGnAgAGd/jkCAUOB1vu0d5XfH5DPxxvDCuiFdYRjLwzD0LK3tilgGHI57br24uFh9zN8XTj2IVLRC+ugF9YQyj6EbDJDWlqaZs2apaVLl8rv9ysQCOi5557TrFmzlJqaKqnljG1eXp7ef//9dvv6/X69/vrrmjlz5nHHraqq0rPPPhtc+qupqUmLFy/WOeecoxEjRoTqxwEQgT7bXq4v91VKkq6aMkQZKfxZEgDCUUhvrJCfn6+CgoLg2dSJEycqPz8/+HwgEFBTU5N8Pl+7/T766CNlZ2d3ODVh9OjRuuKKK3THHXcoNjZW9fX1Gj9+vH760592e04sgOjj9fn1l3d3SJLSk2N01dRskysCAHSXzTCM7v3dPcyVldV2eR+n0660tARVVtbzpwuT0QvrCNdevL5ur179YLck6a7vjNO5Z/Q7xR7WFq59iET0wjrohTWcTh8yMzu3JjjrWACIOhU1TXpz/V5J0uisVJ0zpq+5BQEATguBFkDUeen9XfJ4A7LZpNmXj2K6EgCEOQItgKiybX+l/rXlsCTp4rMGKatvoskVAQBOF4EWQNRobPZpyZtfSpISYp367kU5JlcEAOgJBFoAUeOv7+1UeXWTJOn7l49SYtzxt+cGAIQfAi2AqLBp11Gt3XhAkjR5dKamjA3vVQ0AAF8h0AKIeHWNXv3xby1TDZIT3LrpitFcCAYAEYRACyDivfD2dlXXeSRJN181RknxbpMrAgD0JAItgIj26dYjwVUNLpgwQGeNyDC5IgBATyPQAohYlbXNWvb3bZKkPsmx+t43RppcEQAgFAi0ACKS1xfQ068Wqq7RK0m69VtnKC7GaXJVAIBQINACiDiGYej5f2zTrgM1kqRvn5etM7LTTK4KABAqBFoAEee9z0v1z00HJUlnDu+jGRdyAwUAiGQEWgARZdv+Sr24ZockqX96vO64epzsLNEFABGNQAsgYhytbtLTK4vkDxiKi3HoJ9fkKj6WebMAEOkItAAiQrPHr4WvFKq2wSubpDuuHqcBfRLMLgsA0AsItADCntfn14JXNmnf4VpJ0oyLclhvFgCiCIEWQFjz+QN66tUibdlbKUmaNq6fvj0t2+SqAAC9iUALIGz5AwE9s2qzNu06Kkk6e1Smbv3WGbJxERgARBUCLYCwFDAM/eHNrdqwrUySlJvTR3d+Z5wcdj7WACDa8MkPIOwEDEPP/32b1m8+JEkaMyRV93x3vJwOPtIAIBqxng2AsOL1+bXkzS/1yZdHJEnDByXr3msnyO1ymFwZAMAsBFoAYaOu0auFKzZpe0m1JClnYLLuv+5Mxbr5KAOAaMb/BQCEhbKqRj351y90qKJBkjRxZIbmTB+nGM7MAkDUI9ACsLw9B2v0+5c3qabeI0n6xqTB+t5lI2W3s5oBAIBAC8DCDMPQB18c0ItrdsjjC0iSrr9khK44N4uluQAAQQRaAJbU0OTV0re2acPWlou/nA677rh6rM4Z09fkygAAVkOgBWA5O0ur9T+vbdbRmiZJUv/0eN31nXEa0i/J5MoAAFZEoAVgGT5/QH/7eJ9e+3CvAoYhSbogd4C+f/koxbi5+AsA0DECLQBL2LqvUsv+sU0Hj7asYhDrdugHV47W1LH9Ta4MAGB1BFoApqqua9Zf39up9ZsPB7eNGJSi2799hvqmxZtYGQAgXBBoAZjC6/Prvc8P6LUP96ix2SdJSoxz6bqLh+v8CQNkZxUDAEAnEWgB9CqvL6APvjigN9fvVVWdJ7j9ojMH6tqLhysxzmVidQCAcESgBdArvL6APtx0QG+s36fK2ubg9mEDkjT7slEaPijFxOoAAOGMQAsgpCpqmrR24wF98MUBVdd/dUY2u1+SvnPhMJ05vA83SQAAnBYCLYAeZxiGtu6r1LuflerzHeXBJbgkaUjfRH3nwmE6a0QGQRYA0CMItAB6TElZnf615bA++fKwyqqagtttksbn9NGlkwZpAmdkAQA9jEALoNsMw1BJWZ3+8e8SvbehWKVl9e2eT4h16oIJA3TJxEEswQUACBkCLYAuaWz26ct9lSrcfVRFu4/qaE1zu+cddpvGDUvXuWf01dmj+yrGxR2+AAChRaAFcFK1DR7tLK3WjpJq7Sip0t6DtfIHjHZjbDZpzJA0nXNGX509KlNJ8W6TqgUARCMCLYCghiav9h+u0/7Dtdp3uE57D9UEb0X7dYlxLo0flq4zR2bogolZMnw++XyBXq4YAIBeCLR79+7Vz372M7lcLi1btuyU4w3D0FNPPaV33nlHDodDQ4cO1aOPPqqkpKTgGI/Ho4KCAn322WeSpEmTJik/P19uN2eFgM6ob/Lq4NEGHTxa3/K1vF4Hjta3u5Dr62LcDo0YlKKRg1M0bli6hvVPlt1uk9NpV2pSjCorfb34EwAA8JWQBtqVK1fqxRdflN1u7/Q+S5cu1VtvvaWXXnpJcXFxevjhh5Wfn69FixYFxxQUFGjnzp166aWXJEm33367CgoK9Mgjj/T4zwCEm4BhqLbBq8raJlXWNquytlnl1U0qq2pUeVXL14bmk4dPm6R+6fEa0i+xNcSmanDfBDm68F4GAKC3hDTQpqWladmyZfrlL3+p0tLSU473+/165pln9JOf/ERxcXGSpNtuu03f+ta3tH37do0aNUqVlZVavny5nnrqKTkcLReb3Hzzzbrnnnv04x//WKmpqaH8kYBe5/X51dDsV0OTV/WNPtU1elXf5FV9o1c1DV7VNHhUU9/6r8Gj6jrPcXNcTyYh1qkBGQka2CdeWX2TNKRforL6JirWzYwkAEB4COn/sfLy8ro0ftu2baqoqFBubm5w2/DhwxUfH69169Zp1KhR2rBhg7xeb7sxubm58nq92rBhgy677LIeqx84kUDAkD8QkM9vyB8w5PMH5PMF5PW3bPP5A/K2Pvb62v755fEF5PEG5PH61ez1y+MNqLn1+6Zmn5q9fjV6Wr5vbPapodkvn//056UmxbuUkRKnzNRYZabGKSMlVv3T4zUgI0FJcS7WhQUAhDVLnYIpLi6WJGVmZga32Ww29enTRyUlJcExTqdT6enpwTHp6elyOBzB/Ttj1Ud7ZHT+JJYkyW63KS7WpcYmrwJdOAPWxujqC57yeJ0c18mtHR2vw20ygrsbX2386rkO9jWMY55r2/2YbUa77S1bjdaNhnHM/oYUMFquqne5nGr2tPSiZcxX+xlGy7aAYSjQ9n3AkGEYCrRuNwItzwUCX40LBIzWsNry2N/2uDW4+luDbA+3sltskhLjXUqOdys5wa2k1u9Tk2KUlhijtKSWf6lJMSydBQCIaJYKtI2NjZJ03MVdbrc7+FxjY6NcLtdx+7pcruCYzlj5zz2nUSnQfTZJbpdDbpddMS6HYlwOxcY4FONyKtbtaPkX41R8jFNxMU4lxLZ+jXMqIdalxLiWf3GxTtktcGbV4bC3+wpz0AfroBfWQS+soTf60OVAu2DBAi1cuPCkY15++eV2UwI6q23erMfjabfd4/EEn4uLi5PX6z1uX6/XGxzTGa8/8Z0u1wfgxJKTO//+Q+jQB+ugF9ZBL6whlH3ocqC99dZbNWvWrJOOSUtL61YxWVlZkqSysjL1799fUsufjo8eParBgwcHx/h8PlVUVASnHVRUVMjv9wf3BwAAQPTocqBNSEhQQkJCKGrR6NGjlZ6erqKiouAZ3t27d6uhoUHnnXeeJGny5MlyuVwqKirSRRddJEkqLCyUy+XS5MmTQ1IXAAAArMvUSSUVFRXKy8vT+++/L0lyOByaM2eO/vznPwfnw/7hD3/QJZdcolGjRklqOfs7a9YsLV26VH6/X4FAQM8995xmzZrFkl0AAABRKKQXhb3zzjtaunSpdu/erebmZt10002aPn26rrvuOklSIBBQU1OTfL6vFnm/+eabVV9fr+9973tyOp3Kzs5WQUFBu+Pm5+eroKAgeJyJEycqPz8/lD8KAAAALMpm9PRaUgAAAEAvYh0LAAAAhDUCLQAAAMIagRYAAABhjUALAACAsGapW9+Gm7///e96/vnnJUmHDh3S8OHDNX/+/ONu3YveEQgEdP3116uiokLvvvuu2eVEnaqqKi1btkzr1q2T0+lUTU2NrrjiCs2ZM0dOJx81ofb2229r0aJFio2Nld1u16OPPqqRI0eaXVZUWb16tV5++WX5/X7V1dVp4MCBys/P56Y/Jlu2bJnmzZun5557TlOmTDG7nKhUWlqq3/zmN6qoqFBlZaVcLpfy8/M1derUHnsN/i/TTatXr9azzz6rpUuXKjk5WYcPH9Y3v/lNeb1eAq1JXnjhBe3bt09JSUlmlxKV1q5dq7feekvLly9XUlKSDh8+rJkzZ8rr9eq+++4zu7yItmnTJuXn52vFihXKycnRypUrddttt2n16tVKTEw0u7yokZ+fr//3//6fLrjgAgUCAf385z/X7bffrlWrVikmJsbs8qLS4cOH9Yc//MHsMqJaRUWFfvCDH2jevHmaNm2aDMPQ/fffr507d/ZooGXKQTf4/X499thj+ulPf6rk5GRJUr9+/bR48WLFxsaaXF10Onz4sF5++WVdf/31ZpcStVJTU3XLLbcEf6Ho16+frrjiCq1evdrkyiLf4sWLlZeXp5ycHEnS9OnT5ff7tXLlSnMLizKXXnqpLrjgAkmS3W7X97//fe3du1ebN282ubLoNW/ePM2ZM8fsMqLas88+qwkTJmjatGmSJJvNpvz8fF188cU9+joE2m74/PPPVV5ernPOOafd9kmTJsnhcJhUVXSbN2+eHnjgAX6hMFFeXp6uvfbadttiYmLk9XpNqih6rF+/Pni7cKklTI0bN07r1q0zsaroM3/+/HaP287K8h4wx7vvviun06kLL7zQ7FKi2j/+8Y/j8tLAgQM1ePDgHn0dphx0w7Zt25ScnKyPPvpIzz//vJqampSVlaX77ruvxxuEU3v33XflcDiUl5enTZs2mV0OjvH555/riiuuMLuMiFZZWana2lplZGS0256RkaHCwkKTqoIkbdy4UX379tWkSZPMLiXqNDQ06Mknn9SSJUvk8XjMLidqNTQ0qLi4WIZhaO7cuSotLVVcXJxuuOEGXXnllT36WgTabqipqVFdXZ1eeOEFPf3004qLi1NBQYFmzZqlv/3tb8zh7EX19fXBDy1Yy/r163Xw4EEtXrzY7FIiWlNTkyQdN3ff7XYHn0Pv83g8WrJkiR555BG5XC6zy4k6v//97zVr1iz17dtXJSUlZpcTtWprayVJv/vd77R06VKNGzdOmzZt0o033qhAIKBvfvObPfZaBNpjLFiwQAsXLjzpmJdffll2u11+v19z5sxRfHy8JOnee+/Vc889pzfeeEPf+973eqPciNbZXrz++uvBDy2ERmd7ceyfvA8fPqz//b//t55++ml+wQuxtmk2Xz8L5fF4mIJjol/+8pe64oor+AuFCbZs2aIvvvhCDz30kNmlRD2bzSZJuvjiizVu3DhJ0oQJE3T55Zdr6dKlBNpQufXWWzVr1qyTjklLS9Pu3bsltVz00iYuLk5paWn8JthDOtuLX/ziF9q8ebPeeustSS1Lg5SVlemmm27SkCFD9Ktf/ao3yo1one1Fm6qqKt1999169NFHgx9gCJ20tDQlJSWpvLy83fby8nKWizLJb3/7WzkcDt1///1mlxKV3nvvPTU3N+uHP/yhJKm5uVmS9Nhjjyk5OVnz5s1Tdna2mSVGjfT0dLndbvXv37/d9oEDB2r9+vU9+loE2mMkJCQoISHhlOMmT54sSSorKwteVez1elVVVaWBAweGtMZo0dlerFq1qt3jBQsW6NVXX9WyZctCVVrU6WwvJKmurk533XWXfvSjH+m8886TJP3lL3/RDTfcEMoSo97UqVNVVFQUfGwYhrZs2aK77rrLxKqi0zPPPKPS0lI98cQTstlswb6MHz/e5Mqixz333KN77rkn+LikpETf+MY39POf/5x1aHuZ0+nUWWedpbKysnbby8vLNWDAgB59LVY56IZBgwbpW9/6lpYtWya/3y9J+vOf/6ykpKQePX0OhJPm5mbdfffdOuuss9SvXz8VFhaqsLBQf/nLX8wuLeLNmTNHa9eu1Z49eyS1/KJnt9s1Y8YMcwuLMi+++KJWrVqlH/zgB9q8ebMKCwv13nvvafv27WaXBpjmjjvu0Jo1a1RcXCyp5S+pa9as0U033dSjr2MzDMPo0SNGiYaGBv3617/Wxo0blZSUpPj4eD300EMaMWKE2aVFpbKyMj3wwAPBKQdnnXWWvvvd72rmzJlmlxY1XnjhBf2f//N/Onxu27ZtvVxN9OFOYeaqq6vTOeeco0AgcNxz//3f/81nkUl+9atf6YsvvtAXX3yhMWPGKCcnR08++aTZZUWd1157TUuXLlVsbKz8fr+uv/7645Z5PF0EWgAAAIQ1phwAAAAgrBFoAQAAENYItAAAAAhrBFoAAACENQItAAAAwhqBFgAAAGGNQAsAAICwRqAFAABAWCPQAgAAIKwRaAEAABDWnGYXAADovpKSEt1www3KyckJbjtw4IBKSkq0aNEiXXrppSZWBwC9g0ALAGHuwgsv1K9//WtJUnV1tb773e/qsssuI8wCiBo2wzAMs4sAAHSP1+tVZWWl+vbtK8MwdPfdd2vHjh169dVXlZycbHZ5ANArOEMLAGHM5XKpb9++kqQlS5boww8/1IsvvkiYBRBVuCgMACLAv//9bz355JP62c9+ptzcXLPLAYBexZQDAAhzFRUV+u53v6szzzxT8+fPlyTV1taqtrZWAwcONLk6AAg9ztACQBgzDEP5+flyu9167LHHgtu3bNmiFStWmFgZAPQe5tACQBj7xz/+oX/+858aOHCgbr311uD2uro6XXXVVSZWBgC9hykHAAAACGtMOQAAAEBYI9ACAAAgrBFoAQAAENYItAAAAAhrBFoAAACENQItAAAAwhqBFgAAAGGNQAsAAICwRqAFAABAWCPQAgAAIKwRaAEAABDWCLQAAAAIa/8f0Xe8QU65/S0AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 800x550 with 1 Axes>"
]
},
"metadata": {
"filenames": {
"image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/chapter4_18_2.png"
}
},
"output_type": "display_data"
}
],
"source": [
"\"\"\"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": "5802efe3",
"metadata": {
"editable": true
},
"source": [
"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": "f85d14ea",
"metadata": {
"editable": true
},
"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": "6c4e0334",
"metadata": {
"editable": true
},
"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": "df7facc9",
"metadata": {
"editable": true
},
"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": "a920e6d8",
"metadata": {
"editable": true
},
"source": [
"In order to define the total likelihood for all possible outcomes from a \n",
"dataset $\\mathcal{D}=\\{(y_i,x_i)\\}$, with the binary labels\n",
"$y_i\\in\\{0,1\\}$ and where the data points are drawn independently, we use the so-called [Maximum Likelihood Estimation](https://en.wikipedia.org/wiki/Maximum_likelihood_estimation) (MLE) principle. \n",
"We aim thus at maximizing \n",
"the probability of seeing the observed data. We can then approximate the \n",
"likelihood in terms of the product of the individual probabilities of a specific outcome $y_i$, that is"
]
},
{
"cell_type": "markdown",
"id": "a780bfe1",
"metadata": {
"editable": true
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"source": [
"$$\n",
"\\begin{align*}\n",
"P(\\mathcal{D}|\\boldsymbol{\\beta})& = \\prod_{i=1}^n \\left[p(y_i=1|x_i,\\boldsymbol{\\beta})\\right]^{y_i}\\left[1-p(y_i=1|x_i,\\boldsymbol{\\beta}))\\right]^{1-y_i}\\nonumber \\\\\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "9f810a44",
"metadata": {
"editable": true
},
"source": [
"from which we obtain the log-likelihood and our **cost/loss** function"
]
},
{
"cell_type": "markdown",
"id": "3fac4ef4",
"metadata": {
"editable": true
},
"source": [
"$$\n",
"\\mathcal{C}(\\boldsymbol{\\beta}) = \\sum_{i=1}^n \\left( y_i\\log{p(y_i=1|x_i,\\boldsymbol{\\beta})} + (1-y_i)\\log\\left[1-p(y_i=1|x_i,\\boldsymbol{\\beta}))\\right]\\right).\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "75aa2c14",
"metadata": {
"editable": true
},
"source": [
"Reordering the logarithms, we can rewrite the **cost/loss** function as"
]
},
{
"cell_type": "markdown",
"id": "780f2038",
"metadata": {
"editable": true
},
"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": "c8c940aa",
"metadata": {
"editable": true
},
"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": "9d4a527b",
"metadata": {
"editable": true
},
"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": "c1706606",
"metadata": {
"editable": true
},
"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.\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": "fe8fb387",
"metadata": {
"editable": true
},
"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": "bb564e81",
"metadata": {
"editable": true
},
"source": [
"and"
]
},
{
"cell_type": "markdown",
"id": "700c5443",
"metadata": {
"editable": true
},
"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": "f442c956",
"metadata": {
"editable": true
},
"source": [
"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": "83937f6f",
"metadata": {
"editable": true
},
"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": "71819c1d",
"metadata": {
"editable": true
},
"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": "23dfd975",
"metadata": {
"editable": true
},
"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": "6ca9f74b",
"metadata": {
"editable": true
},
"source": [
"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": "ddb3d93a",
"metadata": {
"editable": true
},
"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": "0cfae560",
"metadata": {
"editable": true
},
"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": "7c427fc3",
"metadata": {
"editable": true
},
"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": "6a6814bf",
"metadata": {
"editable": true
},
"source": [
"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": "85282137",
"metadata": {
"editable": true
},
"source": [
"$$\n",
"\\log{\\frac{p(C=1\\vert x)}{p(K\\vert x)}} = \\beta_{10}+\\beta_{11}x_1,\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "4864f76d",
"metadata": {
"editable": true
},
"source": [
"and"
]
},
{
"cell_type": "markdown",
"id": "390e9a55",
"metadata": {
"editable": true
},
"source": [
"$$\n",
"\\log{\\frac{p(C=2\\vert x)}{p(K\\vert x)}} = \\beta_{20}+\\beta_{21}x_1,\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "c3f39c44",
"metadata": {
"editable": true
},
"source": [
"and so on till the class $C=K-1$ class"
]
},
{
"cell_type": "markdown",
"id": "92f32a03",
"metadata": {
"editable": true
},
"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": "677a5c4d",
"metadata": {
"editable": true
},
"source": [
"and the model is specified in term of $K-1$ so-called log-odds or\n",
"**logit** transformations.\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": "fa70e3bf",
"metadata": {
"editable": true
},
"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": "4c59400c",
"metadata": {
"editable": true
},
"source": [
"It is easy to extend to more predictors. The final class is"
]
},
{
"cell_type": "markdown",
"id": "f4073652",
"metadata": {
"editable": true
},
"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": "810e872a",
"metadata": {
"editable": true
},
"source": [
"and they sum to one. Our earlier discussions were all specialized to\n",
"the case with two classes only. It is easy to see from the above that\n",
"what we derived earlier is compatible with these equations.\n",
"\n",
"To find the optimal parameters we would typically use a gradient\n",
"descent method. Newton's method and gradient descent methods are\n",
"discussed in the material on [optimization\n",
"methods](https://compphysics.github.io/MachineLearning/doc/pub/Splines/html/Splines-bs.html)."
]
},
{
"cell_type": "markdown",
"id": "f4ebc1da",
"metadata": {
"editable": true
},
"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": 4,
"id": "b7a8cbac",
"metadata": {
"collapsed": false,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(426, 30)\n",
"(143, 30)\n",
"Test set accuracy with Logistic Regression: 0.94\n",
"Test set accuracy Logistic Regression with scaled data: 0.96\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:814: 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)))\n",
"#now scale the data\n",
"from sklearn.preprocessing import StandardScaler\n",
"scaler = StandardScaler()\n",
"scaler.fit(X_train)\n",
"X_train_scaled = scaler.transform(X_train)\n",
"X_test_scaled = scaler.transform(X_test)\n",
"# Logistic Regression\n",
"logreg.fit(X_train_scaled, y_train)\n",
"print(\"Test set accuracy Logistic Regression with scaled data: {:.2f}\".format(logreg.score(X_test_scaled,y_test)))"
]
},
{
"cell_type": "markdown",
"id": "10f74b93",
"metadata": {
"editable": true
},
"source": [
"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": 5,
"id": "d0b8025d",
"metadata": {
"collapsed": false,
"editable": true
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1000x2000 with 30 Axes>"
]
},
"metadata": {
"filenames": {
"image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/chapter4_57_0.png"
}
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1500x800 with 2 Axes>"
]
},
"metadata": {
"filenames": {
"image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/chapter4_57_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": "9d84a2aa",
"metadata": {
"editable": true
},
"source": [
"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": 6,
"id": "6144ea0a",
"metadata": {
"collapsed": false,
"editable": true
},
"outputs": [],
"source": [
"cancerpd = pd.DataFrame(cancer.data, columns=cancer.feature_names)"
]
},
{
"cell_type": "markdown",
"id": "5627f5ae",
"metadata": {
"editable": true
},
"source": [
"and then"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "a7c8662a",
"metadata": {
"collapsed": false,
"editable": true
},
"outputs": [],
"source": [
"correlation_matrix = cancerpd.corr().round(1)"
]
},
{
"cell_type": "markdown",
"id": "d03ee2a7",
"metadata": {
"editable": true
},
"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)).\n",
"\n",
"Here we present a further way to present our results in terms of a so-called **confusion matrix**, the cumulative gain and the **ROC** curve.\n",
"This way of displaying our data are based upon different ways to classify our possible outcomes. Before we proceed we need some definitions.\n",
"1. **TP**: true positive or in other words, something equivalent with a proper classification\n",
"\n",
"2. **TN**: true negative, which is equivalent with a correct rejection\n",
"\n",
"3. **FP**: false positive, or in simpler words something that is equivalent with a false alarm\n",
"\n",
"4. **FN**: false negative, which is mean to be equivalent with a miss.\n",
"\n",
"The total data set is then the sum of the true positive and true negative targets or outputs, labeled by $n$.\n",
"Based on this we can then define the accuracy score as the sum of correctly predicted **TP** and **TN** cases divided by the sum of true positive and treue negative events in our data set, or as"
]
},
{
"cell_type": "markdown",
"id": "44ce5095",
"metadata": {
"editable": true
},
"source": [
"$$\n",
"\\mathrm{Accuracy} = \\frac{\\sum_{i=0}^{n-1}I(y_i=\\tilde{y}_i)}{n}.\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "24ff3dd3",
"metadata": {
"collapsed": false,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(426, 30)\n",
"(143, 30)\n",
"Test set accuracy with Logistic Regression: 0.94\n",
"Test set accuracy Logistic Regression with scaled data: 0.96\n",
"[1. 1. 1. 1. 1. 1.\n",
" 1. 1. 0.92857143 0.92857143]\n",
"Test set accuracy with Logistic Regression and scaled data: 0.96\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:814: 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"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 800x550 with 2 Axes>"
]
},
"metadata": {
"filenames": {
"image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/chapter4_64_2.png"
}
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 800x550 with 1 Axes>"
]
},
"metadata": {
"filenames": {
"image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/chapter4_64_3.png"
}
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 800x550 with 1 Axes>"
]
},
"metadata": {
"filenames": {
"image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/chapter4_64_4.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",
"print(\"Test set accuracy with Logistic Regression: {:.2f}\".format(logreg.score(X_test,y_test)))\n",
"#now scale the data\n",
"from sklearn.preprocessing import StandardScaler\n",
"scaler = StandardScaler()\n",
"scaler.fit(X_train)\n",
"X_train_scaled = scaler.transform(X_train)\n",
"X_test_scaled = scaler.transform(X_test)\n",
"# Logistic Regression\n",
"logreg.fit(X_train_scaled, y_train)\n",
"print(\"Test set accuracy Logistic Regression with scaled data: {:.2f}\".format(logreg.score(X_test_scaled,y_test)))\n",
"\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_scaled,y_test,cv=10)['test_score']\n",
"print(accuracy)\n",
"print(\"Test set accuracy with Logistic Regression and scaled data: {:.2f}\".format(logreg.score(X_test_scaled,y_test)))\n",
"\n",
"\n",
"import scikitplot as skplt\n",
"y_pred = logreg.predict(X_test_scaled)\n",
"skplt.metrics.plot_confusion_matrix(y_test, y_pred, normalize=True)\n",
"plt.show()\n",
"y_probas = logreg.predict_proba(X_test_scaled)\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()"
]
}
],
"metadata": {
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.10"
}
},
"nbformat": 4,
"nbformat_minor": 5
}