{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 03wk-1: 로지스틱 – 로지스틱 소개, BCELoss, Adam, 로지스틱의 한계\n", "\n", "최규빈 \n", "2024-03-18\n", "\n", "\n", "\n", "# 1. 강의영상\n", "\n", "\n", "\n", "# 2. Imports" ], "id": "b98e1071-4984-4c99-b742-bf0cf9bcfb28" }, { "cell_type": "code", "execution_count": 149, "metadata": { "tags": [] }, "outputs": [], "source": [ "import torch\n", "import matplotlib.pyplot as plt \n", "import numpy as np\n", "import pandas as pd" ], "id": "8775f9a1-175d-473b-ac73-1e664c4c2795" }, { "cell_type": "code", "execution_count": 150, "metadata": { "tags": [] }, "outputs": [], "source": [ "def plot_loss(loss_fn, ax=None, Wstar=[-1,5]):\n", " w0hat,w1hat =torch.meshgrid(torch.arange(-10,3,0.1),torch.arange(-1,10,0.1),indexing='ij')\n", " w0hat = w0hat.reshape(-1)\n", " w1hat = w1hat.reshape(-1)\n", " def l(w0hat,w1hat):\n", " yhat = torch.exp(w0hat+w1hat*x)/(1+torch.exp(w0hat+w1hat*x))\n", " return loss_fn(yhat,y) \n", " loss = list(map(l,w0hat,w1hat))\n", " #---#\n", " if ax is None: \n", " fig = plt.figure()\n", " ax = fig.add_subplot(1,1,1,projection='3d')\n", " ax.scatter(w0hat,w1hat,loss,s=0.001) \n", " ax.scatter(w0hat[::20],w1hat[::20],loss[::20],s=0.1,color='C0') \n", " w0star,w1star = np.array(Wstar).reshape(-1)\n", " ax.scatter(w0star,w1star,l(w0star,w1star),s=200,marker='*',color='red',label=f\"W=[{w0star:.1f},{w1star:.1f}]\")\n", " #---#\n", " ax.elev = 15\n", " ax.dist = -20\n", " ax.azim = 75 \n", " ax.legend()\n", " ax.set_xlabel(r'$w_0$') # x축 레이블 설정\n", " ax.set_ylabel(r'$w_1$') # y축 레이블 설정\n", " ax.set_xticks([-10,-5,0]) # x축 틱 간격 설정\n", " ax.set_yticks([-10,0,10]) # y축 틱 간격 설정" ], "id": "7f289820-e846-4ed5-ac3d-7c371ed7cf44" }, { "cell_type": "code", "execution_count": 151, "metadata": { "tags": [] }, "outputs": [], "source": [ "def learn_and_record(net, loss_fn, optimizr):\n", " yhat_history = [] \n", " loss_history = []\n", " What_history = []\n", " Whatgrad_history = []\n", " What_history.append([net[0].bias.data.item(), net[0].weight.data.item()])\n", " for epoc in range(100): \n", " ## step1 \n", " yhat = net(x)\n", " ## step2 \n", " loss = loss_fn(yhat,y)\n", " ## step3\n", " loss.backward() \n", " ## step4 \n", " optimizr.step()\n", " ## record \n", " if epoc % 5 ==0: \n", " yhat_history.append(yhat.reshape(-1).data.tolist())\n", " loss_history.append(loss.item())\n", " What_history.append([net[0].bias.data.item(), net[0].weight.data.item()])\n", " Whatgrad_history.append([net[0].bias.grad.item(), net[0].weight.grad.item()])\n", " optimizr.zero_grad() \n", " \n", " return yhat_history, loss_history, What_history, Whatgrad_history" ], "id": "dbb48ed0-f043-4d04-8a93-39e89e91d601" }, { "cell_type": "code", "execution_count": 152, "metadata": { "tags": [] }, "outputs": [], "source": [ "def show_animation(net, loss_fn, optimizr):\n", " yhat_history,loss_history,What_history,Whatgrad_history = learn_and_record(net,loss_fn,optimizr)\n", " \n", " fig = plt.figure(figsize=(7.5,3.5))\n", " ax1 = fig.add_subplot(1, 2, 1)\n", " ax2 = fig.add_subplot(1, 2, 2, projection='3d')\n", " ## ax1: 왼쪽그림 \n", " ax1.scatter(x,y,alpha=0.01)\n", " ax1.scatter(x[0],y[0],color='C0',label=r\"observed data = $(x_i,y_i)$\")\n", " ax1.plot(x,v,'--',label=r\"prob (true) = $(x_i,\\frac{exp(-1+5x_i)}{1+exp(-1+5x_i)})$\") \n", " line, = ax1.plot(x,yhat_history[0],'--',label=r\"prob (estimated) = $(x_i,\\hat{y}_i)$\") \n", " ax1.legend()\n", " ## ax2: 오른쪽그림 \n", " plot_loss(loss_fn,ax2)\n", " ax2.scatter(np.array(What_history)[0,0],np.array(What_history)[0,1],loss_history[0],color='blue',s=200,marker='*') \n", " def animate(epoc):\n", " line.set_ydata(yhat_history[epoc])\n", " w0hat = np.array(What_history)[epoc,0]\n", " w1hat = np.array(What_history)[epoc,1]\n", " w0hatgrad = np.array(Whatgrad_history)[epoc,0]\n", " w1hatgrad = np.array(Whatgrad_history)[epoc,1]\n", " ax2.scatter(w0hat,w1hat,loss_history[epoc],color='grey')\n", " ax2.set_title(f\"What.grad=[{w0hatgrad:.4f},{w1hatgrad:.4f}]\",y=0.8)\n", " fig.suptitle(f\"epoch={epoc*5} // What=[{w0hat:.2f},{w1hat:.2f}] // Loss={loss_fn.__class__.__name__} // Opt={optimizr.__class__.__name__}\")\n", " return line\n", " ani = animation.FuncAnimation(fig, animate, frames=20) \n", " plt.close()\n", " return ani" ], "id": "6661b8cd-5b7b-419f-b110-9e6870dddd2e" }, { "cell_type": "code", "execution_count": 153, "metadata": { "tags": [] }, "outputs": [], "source": [ "from matplotlib import animation\n", "plt.rcParams[\"animation.html\"] = \"jshtml\"" ], "id": "c73b5b7d-3bc8-4d7e-a1ef-6fd241495028" }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. ToyData1\n", "\n", "`-` $X$를 가지고 $y$를 맞추는 아래와 같은 문제" ], "id": "33b99ea9-fea9-4b70-a107-4aa3b5198d4d" }, { "cell_type": "code", "execution_count": 154, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGdCAYAAADAAnMpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nHrHK2J0AAAAASUVORK5CYII=\n" } } ], "source": [ "x = torch.tensor([-6,-5,-4,-3,-2,-1, 0, 1, 2, 3, 4, 5, 6.0]).reshape(-1,1)\n", "y = torch.tensor([ 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1]).reshape(-1,1)\n", "plt.plot(x,y,'o')" ], "id": "fdddab84-d421-4a83-980e-b1ca8972faa2" }, { "cell_type": "markdown", "metadata": {}, "source": [ "- yhat이 굳이 0 혹은 1이어야 할까?\n", "- (회귀문제를 떠올리며) 우리가 맞추고 싶은건 사실 $y_i$ 자체가 아니라\n", " $y_i$를 만들어내는 underlying 아니었어?\n", "\n", "`-` 아래와 같이 모형화 하면?" ], "id": "06c298d6-a6ec-42fd-8993-74fe067ac3b2" }, { "cell_type": "code", "execution_count": 155, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGdCAYAAADAAnMpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nIpb6f8PZHIiiiZz2AAAAAElFTkSuQmCC\n" } } ], "source": [ "plt.plot(x,y,'o', label=r\"observed data (with error) = $(x_i,y_i)$\")\n", "plt.plot(x,torch.exp(x)/(1+torch.exp(x)),'o--', label = \"underlying (without error)\")\n", "plt.legend()" ], "id": "37c2652a-977f-409d-85da-08a997934969" }, { "cell_type": "markdown", "metadata": {}, "source": [ "- 우리가 예측하고 싶은건 랜덤하게 나오는 오차가 아니야. (만약 예측할\n", " 수 있다면 이미 랜덤이 아닌걸?)\n", "\n", "# 4. ToyData2\n", "\n", "## A. 로지스틱 모형\n", "\n", "`-` $x$가 커질수록 $y=1$이 잘나오는 모형은 아래와 같이 설계할 수 있음\n", "\\<— 외우세요!!!\n", "\n", "- $y_i \\sim {\\cal B}(\\pi_i),\\quad$ where\n", " $\\pi_i = \\frac{\\exp(w_0+w_1x_i)}{1+\\exp(w_0+w_1x_i)} = \\frac{1}{1+\\exp(-w_0-w_1x_i)}$\n", "\n", "- $\\hat{y}_i= \\frac{\\exp(\\hat{w}_0+\\hat{w}_1x_i)}{1+\\exp(\\hat{w}_0+\\hat{w}_1x_i)}=\\frac{1}{1+\\exp(-\\hat{w}_0-\\hat{w}_1x_i)}$\n", "\n", "- $loss= - \\sum_{i=1}^{n} \\big(y_i\\log(\\hat{y}_i)+(1-y_i)\\log(1-\\hat{y}_i)\\big)$\n", " \\<— 외우세요!!\n", "\n", "`-` 회귀모형과 로지스틱 모형의 비교\n", "\n", "- 회귀모형: $y_i \\sim {\\cal N}(w_0+w_1x_i, \\sigma^2)$[1]\n", "- 로지스틱:\n", " $y_i \\sim {\\cal B}\\big(\\frac{\\exp(w_0+w_1x_i)}{1+\\exp(w_0+w_1x_i)}\\big)$\n", "\n", "`-` 우리가 예측하고 싶은것\n", "\n", "- 회귀모형: 정규분포의 평균을 예측하고 싶음. 즉 $w_0+w_1x_i$를\n", " 예측하고 싶음. 예측값으로는 $\\hat{w}_0 + \\hat{w}_1x_i$를 사용!\n", "- 로지스틱: 베르누이의 평균을 예측하고 싶음. 즉\n", " $\\frac{\\exp(w_0+w_1x_i)}{1+\\exp(w_0+w_1x_i)}$를 예측하고 싶음.\n", " 예측값으로는\n", " $\\frac{\\exp(\\hat{w}_0+\\hat{w}_1x_i)}{1+\\exp(\\hat{w}_0+\\hat{w}_1x_i)}$를\n", " 사용!\n", "\n", "## B. 데이터\n", "\n", "[1] 원래는 이렇게 썼었지..\n", "$y_i = w_0 + w_1x_i + \\epsilon_i \\quad \\epsilon_i \\sim {\\cal N}(0,\\sigma^2)$" ], "id": "64c766e9-b6ab-4e4c-b5e3-89387856ef04" }, { "cell_type": "code", "execution_count": 89, "metadata": { "tags": [] }, "outputs": [], "source": [ "x = torch.linspace(-1,1,2000).reshape(2000,1)\n", "w0 = -1\n", "w1 = 5\n", "u = w0 + x*w1 # 선형변환이네?\n", "v = torch.exp(u) / (1+torch.exp(u)) \n", "y = torch.bernoulli(v)" ], "id": "aa4784d2-94ea-4a51-bcbf-5f52ceb1716e" }, { "cell_type": "code", "execution_count": 90, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGdCAYAAADAAnMpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\nbGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9h\nAAAPYQGoP6dpAABrD0lEQVR4nO3deXxU1f3/8dddZiYJS9g3QcAdxA1QQFRcUdz9VsVqFa1asdaq\nfG2V2rp9VdSq1VaxanGra11b60p/dUHBDdCKuFVRFIPsCZBklnvP748zM2RIAklIMlnez8cjj8zc\nucvnzJ2Z+7nnnHuuY4wxiIiIiOSJm+8AREREpH1TMiIiIiJ5pWRERERE8krJiIiIiOSVkhERERHJ\nKyUjIiIikldKRkRERCSvlIyIiIhIXvn5DqAuwjDk+++/p1OnTjiOk+9wREREpA6MMaxdu5Z+/frh\nurXXf7SKZOT7779nwIAB+Q5DREREGuDbb7+lf//+tb7eKpKRTp06AbYwnTt3znM0IiIiUhdlZWUM\nGDAgexyvTatIRjJNM507d1YyIiIi0spsrouFOrCKiIhIXikZERERkbxSMiIiIiJ5pWRERERE8krJ\niIiIiOSVkhERERHJKyUjIiIikldKRkRERCSvlIyIiIhIXtU7GXnjjTc46qij6NevH47j8Oyzz252\nmddff50RI0ZQUFDANttsw5///OeGxCoiIiJtUL2Hg1+/fj277bYbZ5xxBj/60Y82O/+iRYs4/PDD\nOfvss3nooYd46623+PnPf07Pnj3rtLy0DsYYjAEwgENm5F9jwHE2PxRwS5MpT13LUVP5q85rjCEM\nDcYYHMfBdR0cx8nZTmb+2ta1qelV1+04Nt7MczAY4+C6ZO+amVkGwHUz6wDHMTiOizFh+jl4nlst\n1sx7Ytdtn4dhQCoFngeRiJ+eZgjDELDbh8x6NqzLdV0cB4IgJJUKcV0H33dxHDdn/Zl5whB838F1\n3Wy5q5bH81w8z5YzkUgSTwQ4jsH3vGrvl+u66bhcIATsc2MMqZQBQhzHzcZZ9b205dvwnmVizcRj\n95F9X+2+sO8HjoPrGMLQwZgQz/PwPAdwCIKAMATPc/A8l1QqIBUYHEIcx8NxMuvNrNsBQoyB0G4c\nHAcThuC6uBhc18d1DeCm91FIiMF1wHFcfM/DdQ2JhCEkwMUh+yFyHBxq/tyHYUiQLpdjwDgODgbX\n9XAw2fc0CAwhxk5zXDAhOC6u/WgSGAMYnPRng/R6DPZ74jkOYQihCW0cxhCmPw9ueksm/SExxuC4\nLp5j901gQrvuzPaw5UhvOrvcxqpuJxNbZrqb/gwFxmBMWGVt6d89Y59ltpspS+Z9qrpOY0x23o2X\ndxxy5sk8z5SztuUy0zL/XdfJbjcTb03rjvgRCmI+vp+fu8TUe6sTJkxgwoQJdZ7/z3/+M1tvvTW3\n3norAEOGDOH999/npptuUjLSRgShIZEMSAYhqSDE91xcJ/PlBddxiEY8PLd1JCSZ8oQm90BYWzlq\nKn/Ec7PzBqGhIp5ifTxJIgiI+h4dohGiEc8eXI3JrhuocV2e5xIEYY3TE8kgu27Pte99aAxBOgkw\nGCKeS8zz6FgYxXMdKuIpKpMpAFzHJTB2vaEx+K5HPJUiZQwR16FzQYzCmJ+NNZt8GEM8GRBiqIgH\nrKqIE4SGAt+jZ6dCCiMe6+NJ1iWSOI6D7zr4rksiFVCZCggNRDyHDtEIxsCaijjr4ykinkeXoihd\nCqM2cUj/ysZTIeXJJMZAQcSjYzRKaELWxZOsT6SIp0I816G4MErXwhgViYBFy0spWVtBIgjpFI1S\n6Hskg9BuH0OB6xOJuBT6HilCCnwfMFQmAyoTARVBiqjrUxBxKfA9cCHi5VYoh8YQ8TwMIanAfhYS\ngcHDIRkEBAZSQUgitEmAh0MyfWA1xtAxEqVjzMcFyhIJQuNQ4LlEXJeyRIL1SbuviqJRXMcQcX2i\nOKQwuDhUhEkSgSEZBCRSIQYIA5vk+J5Dt4ICIh64uJQl46wuT5BMBhgHigsL6BqLkjQBFUHA2ooE\nBmx5jMFzXbvfPBevSkKSCu37nkyGpEyI64DnergOFMUieK5D1POoSCaoSIQkkilSYYjveYRhSNT3\nIZ30BSkbu5M9fjqEJiTm+fgRj4jvgHFIJlMEQBCGOMYBxyZtDo5NZMMQx6QTYdcefSvjSVKBIRrx\ncD0bk+M42c9U5jNdles4OK5DEIaY0G7Pcx081yXi28QxGYQkEgGVCfsdyrxXODbJsIkh+L5rv3+u\nh3GwBTR23ZnkNAhtclx1+exvjuukE2f73PdcDDbumpYL04l25rMV8Tw830lvy/62uE7mxGTDugsj\nPv27d2a73p3YtmdnOhY0f0LS5FucM2cO48ePz5l26KGHMmPGDJLJJJFIpNoy8XiceDyefV5WVtbU\nYUoDGZM+EIf2YJYIQjCGFAbHOHQs8EkZA8mAgqjX4mtIMuVJGYPnwPpECsdQazlqKr89kwSSEIu4\nxBMB6xNJ4kFAmE5cCA3xpE1YfM8lFRpM+octZUzOusBQkUjhe4492FWZXh5PkjIh8SAkCELK4ymC\ndLLie7AuHuIBXTtESQBry+PEfJfylF1HGIasrIgTcaAg6lEeTxFP2e9ege8R+A6l5ZUkA59YxMdz\nHdYnUhAaPBfWJVI4QcDS9XHK1qfoXhShMgj4Jp6kR4cIKRySqTBbbt9z0smL/YGPuA4VFQnWJ1Ik\nUoaCqMvayhSV8QRBECPi+0Qch5QJ+KE0QdR16Fjks7KsklIvTudCn9LyJKvXJXAcKIx4lAUhFRUV\n/LA2wcp1lVQkQ0rXVrI0XEtRNF0DYRw8DKHjEPE8CmIeUc8n5tkyJdI1NJWVSYwDnWI+geNQFInQ\nKeaxPhng4FAU9Uik7Jk92ANXZSokDAzJMEVFPMD1HMJUwLrKkKjnEJqA9UkojLgURTxWufYgg+Pg\nOR5RF35IJVkXD4i5LqkgpLQyhecaG2PEwXUgFTj4nqE8HlCRDHAwrI8HBMbgOi4R38H3fNbE1hH1\nXFJhQEU8pDwR2CQJl7WF5ZQ4UBE4dIrYfVtaGRB1HVzPxXNJJ7gQ9VzAIQxDKpLpxCcMiSdDAux7\n73kuvu8QcV18x1CeDEkFAUFgqEgGeA44jkfEg1RoCA34DiSSIUlj8DM1ebgUxVxc1yEZQoFnD7jl\niRRh4BD1HcJ0rYqfTr5ToUknTYZEyqRrkSARGPz0dqMRB891SAbG1h0Yu8/InnTY9zZI1xR6LgQh\nGAdinofnkU0CQmOIJwJS6aTfc9M1VY59/23tgwHHI+ZDaCAZQjR9gpJMJ08G+z5kasscF3zXtYl4\nel/a2jr7ncfY75B9fcNyOYkQxpbXB0KHwLFJcJBdR/pddlyiUZ/iDgVEXEPEMRR4sG2vzs1eQ9Lk\nW1u6dCm9e/fOmda7d29SqRQrVqygb9++1ZaZNm0aV111VVOHJo0gUz3sOQ5JIOa7BKHBMWSrRX2X\nnOy+JcuUx3cdTLoMmYrdmspRU/mNwVYtp3/QgtBWZduzRTddVQ/JMKTQ8dO1BpBK2Qpcz81dl4tD\nKgyIej4GkzM9GdqkwnMdfNcjERgc18E4TvoM3hCN2OdR1yURhriB/cH1XZeUkz6r810MDgVRj7Xx\ngA5RewYY8zzi6TPuzIHctSeqBOmajYRxCAKHjlEPP+ITcWFVeZJ4YM9ci2Ie5fEQ3zfpJM8jFrFN\nDVHfoSIVEIQ23qKoj0tISEg8BQURe5ZqArvtWNQj4nlEfZuAhcYeNKO+rYUqiHo4LlQEhoqkoTAS\nwXVDglTA2vIExtjaAs84+BGHRNLgew5B6NKhwCNhDB622cJ3fApjtkbGdT2C0O4/43jYk3WD4/gU\nRkPWJQIKXJcAiLgOxg1JxX2iHum2LhffSxKLOCRSDoVegINLYSxCIrAJYypwKCr0cDyHlDGYVIhf\n4AA+nWOG8qQh6toakyCEqGcIcSnw7MHNGIcOUVgfGIo8h8D16OQ7GGNr0ZJJW9NVGAU/dAkMFLgu\nCeMQcUIcXDpGoySCOI7jEPNtghRx0p8n19ZChEDSNTgRcHDBC2wCHPEo8u3noch3SYSGmG8/m4Fv\nP/Op0CYtxgE3NKTCkKjv4foBJhlS4DqksJ/tqG/fC5MK8XyXAg9SBoxniPj2sx1PhURcF8cxxEMo\ncG18oRPgGAc/4uGnk2HPc4m4Dp7v4ng2AXEdSIYOJt3E5zgOngPJ9G+Y4zpEMSRD+310XUgGtjnM\nOOB6UJ50iJDNZ8AYXM/Dcwyp0CaaEdchdMAJQvv5JcQk7QE4SC+TrYUFIr6HMSHJwNZqOm662SjM\n/PgYm1hUWY50E5UxIanQJo+ea5uxvPRrUceWxUsnbxHPJRL16Bh18R0Px0B5PCSVguZurWmWzW18\nNpxpp6vtLHnq1KlMmTIl+7ysrIwBAwY0XYDSYJnmi8xBMZ4KiboOKceeCUD6C+k4LT4RgQ3lSYW2\nZiQ0tp23tnLUVP6Y59oztnR/BC+d2GTOhjzHtoNH0vM56R+GTPNPypicdYXYddl299zpEdclZWy7\nfJCulTKhPStMBgFgSCQNHaKGRGh/uCOeQzJlSAYhYWibC4LAEPEMlYmAaLoa2nMc4k6QPjDYWDPv\nCcaeNSYDgxsaPM9QVhkQ81MkMEQ8h5gHKQzlcXswSKVCWzNiAuJJWzNC6BBxIeEaEqmQ8oQhnjBE\nfIeYb89Q3ZBMzwDiiYCI75BIhUS8dN+LICSRCrJnogURj0IPCiMOK9clqUiGrKtIkjKGqGMTn8A4\nBHFbM5IKPAr8kPXJgJgHAbYGK+WmqIzbmhF75umQCFxifkDK2IOdMSkqkgYPQzIMIAxJhrZmxJAi\nEaRrRoKAVBASx5a/IoBCN6QinsS4gOfieFCeDIgGkApSOL79XKSCgLJ4gOcaEqGDE9r+HonAwfdC\nKoMgXVtmWJ+wNSPrA5eIb1hrfDrFQpIBOF5IMhVSUaVmJOZhD77GoYCQ9YkUFUn7HQ7T+zhI14w4\nbKgZSYVhtZoRl4D1oa0ZKU+B79hkYeOakfKQnJoRghSJZEjKGCqr1Ix4DrihY793hKwPDImkrRkx\n6WUDY8AJszUjJl0zkkrXjNgaRlszEgRAxJ4kbKpmJKilZsQNnRprRoIwJNi4ZiQg+3kMAqBKzQhB\nQJBOxIJaakYy/YxCYwgD6lEzYrI1I5UBG9WMmGzNSCqz3QAMAesiIcXGNt0VxdxmT0SgGZKRPn36\nsHTp0pxpy5Ytw/d9unfvXuMysViMWCzW1KFJI3AyfR2SgO3ygO+5RNNHbFsNa+dp6U00ULU8ts9I\nUaYjZi3lqKn8nufiu7YJxnUdYlEnewBPUEOfkdBk1w3gJIOcdUU8l4Ko7TOS6f62YXrENvuYJAkg\nFvFz+ox09dPd5zyXaJU+I6T7jHiuS8+Ohdk+I0WxCJ0LN/QZ8WroM7LhPTF0NA4hPn1cn6hfS58R\nx/YZ6VQUzfYZiUVz+4x0r9JnpFOH6n1GosanX9cI5ckkgYHunQuyfUYMLr7vZfuMdE73GenacUOf\nET/i1bnPSO+qfUaKau4z0rXKZ6Yp+oz03qjPSMdm7DPSE/UZaY99Rnp37czAXp3YqlvzN9FAMyQj\nY8aM4bnnnsuZ9sorrzBy5Mga+4tI65OpHo8Zj7ZwNU2mPBs3x9RWjtrKn5nXcx06FPgURr3qV9N4\nTrV117Yu4zk1To94Ts660xcCbPJqmkw8UI+raarEmnlPOhb49oytI2wVFlS7mqZjgU/PMEZdrqbp\nGxQ06Gqa7h1jNV5N0xXo0dHX1TS6mkZX05g2eDXNunXr+O9//5t9vmjRIj744AO6devG1ltvzdSp\nU1myZAkPPvggAJMnT+b2229nypQpnH322cyZM4cZM2bw6KOPNl4pJO8yB8HMl33D9LyEs8U2lCfz\nvK7z1zyj4zjpA86mt7OpdW1qek3r3ly8VZdxnA0HWMt21ttUrBvH4nkuG59fZA6qdeG61ZffuKxu\nbpCbLXcsFqWhlaz5qZzNfQOi0eY7YSsoaLZNiVRT72Tk/fff54ADDsg+z/TtmDRpEvfffz8lJSUs\nXrw4+/rgwYN54YUXuOiii7jjjjvo168ff/zjH3VZr4iISL6kUrB4MXzxhf370Y+ghgtKmotjaqun\nakHKysooLi6mtLSUzp075zscERGR1mH5cliwAIYMgT597LSHHoKf/hSSyQ3zPfccHHlko2++rsfv\n/DQOiYiISONZtw4++AA+/tgmH5n/y5fb1//6V/jJT+zjXr1sIhKLwbbbwvbbQ55P9JWMiIiItCYr\nVsDcubDNNjaRAHjtNTjqqOrzOo6dr2qHr332gW++gf792aizWN4oGREREWmpKivhvfdg9mx4912b\nhHzzjX3tqqvg8svt42HDYMAA+3/nnTf8HzIEOnTIXWdREWy9dfOWYzOUjIiIiLQUVYc//fxzm1RU\n7duRsf32uUnGoEG2Q2orpWREREQkX0pL4fXX4f/9P/jXv2DUKLj3XvvaNtvYa667dYOxY2HMGBg5\nEvbYA4qL8xt3I1MyIiIi0lyMgTffhJkzbfLx7rvpserTUqkNj33f1o707t16B22qIyUjIiIiTSke\nzx1F76c/hSqDh7LddnDwwfZv//1zl81cjtvGKRkRERFpbN99B089Bf/4h73ktqQEolFbw3HqqfDJ\nJzb5OOgg29+jnVMyIiIi0hiWLoUnn4THH7dNMVW9/Tbst599nLkCRrKUjIiIiGypGTPgZz+zd+jL\nGDvWDrN+1FG2KUZqpWRERESkPsLQDjLWrRvsvrudNnq0nb7XXjBxIpxwgh33Q+pEyYiIiEhdfPst\n3Hef/fv6azjxRNskA3aAscWLlYA0kJIRERGR2hhja0Fuvx2efXZDM0znzvYut8ZsuOxWiUiDKRkR\nERGpzXHHwd//vuH5AQfAWWfZ6YWF+YurjWkZd8gRERFpCZYvzx1+fdw4O+z6uefau+D++99w8slK\nRBqZkhEREZFvvoHzz4eBAzf0AwE4+2w7Zsj06bZfiDQJJSMiItJ+ff45nHYabLut7RdSUQGvvLLh\n9Y4doUuXvIXXXigZERGR9uebb+DMM2HoUPjrX+39YQ4+2N6w7oEH8h1du6MOrCIi0v5MmmTvlgtw\n5JF2VNQ998xvTO2YakZERKTtW7cOyss3PL/iCntfmDlz4LnnlIjkmZIRERFpu8IQ7r8fdtgBbrhh\nw/QDDoB//cuOnCp5p2RERETaplmz7PDsZ5xh75r79NOQSuU7KqmBkhEREWlbli2DU0+1d8mdOxc6\ndYIbb4T33wdfXSVbIu0VERFpO15+GX78Y1i92g7TfvbZ8H//B7165Tsy2QQlIyIi0nbssANUVtq7\n6d51l22mkRZPzTQiItJ6pVIwc+aG54MH20t233tPiUgromRERERap08+gb33hvHjN4wZAvYyXfUN\naVWUjIiISOsSBHDTTbDHHrYGpEsX20dEWi2ljiIi0np8+y2ccoq9bBdgwgS45x7Yaqv8xiVbRDUj\nIiLSOvzzn7Zj6qxZ9gZ2f/kLPP+8EpE2QDUjIiLSOixfDqtWwciR8Nhj9k670iYoGRERkZYrDMFN\nV+KffjpEInDiiRCN5jUsaVxqphERkZbphRdsLcjKlfa548BPfqJEpA1SMiIiIi1LGMI118CRR8L8\n+XD99fmOSJqYmmlERKTlKCuDSZPg2Wft83PPhWuvzWtI0vSUjIiISMvw3//CUUfBp5/appjp0+HM\nM/MdlTQDJSMiIpJ/c+fCoYfa/iFbbQVPP63h3NsRJSMiIpJ/AwfakVQHD4bnnoM+ffIdkTQjJSMi\nIpIfxtgrZAB69ID/9/+gZ08oKspvXNLsdDWNiIg0v1QKzjrLDuWeMXCgEpF2SsmIiIg0r8pKOP54\nuPdeOP98+P77fEckeaZmGhERaT5lZXDMMfDaaxCLweOPQ79++Y5K8kzJiIiINI/ly+1ddufOhU6d\n4B//gP33z3dU0gIoGRERkab37bdw8MHw+ee2s+pLL8GIEfmOSloIJSMiItL0Hn3UJiJbbw2vvAI7\n7pjviKQFUTIiIiJN71e/spfy/vjHNiERqULJiIiINI3vvrNNMgUFdjyRSy7Jd0TSQunSXhERaXyL\nFsHYsXDccfZSXpFNUM2IiIg0rm+/hQMOgMWLba3ImjUa3l02STUjIiLSeJYts1fNfPMNbL89vPqq\nEhHZLCUjIiLSOFavhvHj7VUzAwbAv/6lAc2kTpSMiIjIllu3Do44Aj78EHr3tje901UzUkdKRkRE\nZMt9/jksWABdu9pxRLbfPt8RSSuiDqwiIrLlhg+3/UNSKdh113xHI62MkhEREWm45cuhZ0/7WMO7\nSwOpmUZERBrm1lthp51g9ux8RyKtnJIRERGpvyefhClTYNUqeOutfEcjrVyDkpHp06czePBgCgoK\nGDFiBLNmzdrk/A8//DC77bYbRUVF9O3blzPOOIOVK1c2KGAREcmzWbPgJz+x95o57zy4+OJ8RySt\nXL2Tkccff5wLL7yQyy67jPnz57PvvvsyYcIEFi9eXOP8b775JqeddhpnnnkmH3/8MU888QTvvfce\nZ5111hYHLyIizeyLL+CYYyAet/9vu83ed0ZkC9Q7Gbnllls488wzOeussxgyZAi33norAwYM4M47\n76xx/rfffptBgwbxy1/+ksGDB7PPPvtwzjnn8P77729x8CIi0ozWrIGjjrKDm40aBY88Ap6X76ik\nDahXMpJIJJg7dy7jx4/PmT5+/Hhm19KBae+99+a7777jhRdewBjDDz/8wJNPPskRRxxR63bi8Thl\nZWU5fyIikmfXXAOffQb9+8Ozz0JRUb4jkjaiXsnIihUrCIKA3r1750zv3bs3S5curXGZvffem4cf\nfpiJEycSjUbp06cPXbp04U9/+lOt25k2bRrFxcXZvwEDBtQnTBERaQr/93/w05/CP/6h+81Io2pQ\nB1Zno/ZBY0y1aRkLFy7kl7/8JZdffjlz587lpZdeYtGiRUyePLnW9U+dOpXS0tLs37ffftuQMEVE\npDEVFsKMGbDHHvmORNqYeg161qNHDzzPq1YLsmzZsmq1JRnTpk1j7Nix/OpXvwJg1113pUOHDuy7\n775cc8019O3bt9oysViMWCxWn9BERKQpvPGGvc/MFVeAq9EgpGnU65MVjUYZMWIEM2fOzJk+c+ZM\n9t577xqXKS8vx93oA+ylOzwZY+qzeRERaU7ffQfHHw9XXw1//GO+o5E2rN5p7pQpU/jLX/7Cvffe\nyyeffMJFF13E4sWLs80uU6dO5bTTTsvOf9RRR/H0009z55138tVXX/HWW2/xy1/+kr322ot+urW0\niEjLFI/bRGT5cthtN/jZz/IdkbRh9b43zcSJE1m5ciVXX301JSUlDBs2jBdeeIGBAwcCUFJSkjPm\nyOmnn87atWu5/fbb+d///V+6dOnCgQceyA033NB4pRARkcY1ZQq88w506QJPP60rZ6RJOaYVtJWU\nlZVRXFxMaWkpnTt3znc4IiJt21//Cpka7uefh8MPz2880mrV9fit3kgiIrLBf/4D55xjH19+uRIR\naRZKRkREZIPPPoMwhMMOs8mISDOod58RERFpw044AbbdFgYO1FDv0myUjIiIiK0NyQzDMHx4fmOR\ndkfNNCIi7d0HH8CwYfDuu/mORNopJSMiIu3ZunUwcSJ88gloyAXJEyUjIiLt2Xnnweefw1Zbwd13\n5zsaaaeUjIiItFcPPmj/XBcefRS6d893RNJOKRkREWmPPvsMfv5z+/jKK2HfffMajrRvSkZERNqb\nZBJOOQXWr4cDDoDf/CbfEUk7p2RERKS9Wb8eeveGrl3t0O8aT0TyTOOMiIi0N126wD//CV99ZTuu\niuSZakZERNqLINjw2HHsSKsiLYCSERGR9uLnP4fTT4fS0nxHIpJDyYiISHvwz3/acUQeeMCOuCrS\ngigZERFp65YvhzPPtI+nTIFx4/Ibj8hGlIyIiLRlxsDkybBsGey8M1x7bb4jEqlGyYiISFv2t7/B\n00+D78NDD0FBQb4jEqlGyYiISFu1fDn84hf28WWXwe675zUckdooGRERaau+/NIOaLbrrhplVVo0\nDXomItJWjR4NH38MK1dCNJrvaERqpWRERKQt695dd+OVFk/NNCIibc0FF8Ajj9graURaAdWMiIi0\nJf/8J/zxj+C6MHw47LRTviMS2SzVjIiItBWlpXDOOfbxlClKRKTVUDIiItJWTJ0K338P228PV1+d\n72hE6kzJiIhIWzBnDvz5z/bx3XdDYWF+4xGpByUjIiKtXTIJP/uZ7bB6+umw//75jkikXpSMiIi0\ndq+8AgsWQI8ecNNN+Y5GpN50NY2ISGt3xBHw2mu2A6vGFJFWSMmIiEhbMG5cviMQaTA104iItFav\nvgpff53vKES2mJIREZHWaNUqmDgRdt4Z3n4739GIbBElIyIirdEll8Dy5TBokB1pVaQVUzIiItLa\nvP02/OUv9vFdd+mOvNLqKRkREWlNggDOO88+njQJ9tknv/GINAIlIyIircndd8O8eVBcDDfckO9o\nRBqFkhERkdZi+XK47DL7+JproHfv/MYj0kiUjIiItBYdOsAvfgGjRsHkyfmORqTROMYYk+8gNqes\nrIzi4mJKS0vp3LlzvsMREcmvIADPy3cUIptV1+O3akZERFq6ILB/GUpEpI1RMiIi0tLdcw+MHg3v\nvZfvSESahJIREZGWbMUK+M1v4P33NdKqtFlKRkREWrKpU2H1athtNzj33HxHI9IklIyIiLRU8+bB\njBn28R13gK8brUvbpGRERKQlMgYuuMD+P/lkGDs23xGJNBklIyIiLdHf/gZvvglFRRppVdo8JSMi\nIi3R3/5m/19yCfTvn99YRJqYGiBFRFqiJ56ARx+F447LdyQiTU7JiIhIS+S6cMop+Y5CpFmomUZE\npCV58klYvz7fUYg0KyUjIiItxZw5cMIJMGQIrF2b72hEmo2SERGRliAM7aW8AAcfDJ065TcekWak\nZEREpCV46CF775mOHeG66/IdjUizUjIiIpJv69bBpZfax5ddBn365DcekWamZEREJN+uvx5KSmCb\nbeDCC/MdjUiza1AyMn36dAYPHkxBQQEjRoxg1qxZm5w/Ho9z2WWXMXDgQGKxGNtuuy333ntvgwIW\nEWlTliyBW26xj3//eygoyG88InlQ73FGHn/8cS688EKmT5/O2LFjueuuu5gwYQILFy5k6623rnGZ\nE088kR9++IEZM2aw3XbbsWzZMlKp1BYHLyLS6hkDRx0F33+vAc6k3XKMMaY+C4waNYrhw4dz5513\nZqcNGTKEY489lmnTplWb/6WXXuKkk07iq6++olu3bg0KsqysjOLiYkpLS+ncuXOD1iEi0qJVVqpW\nRNqcuh6/69VMk0gkmDt3LuPHj8+ZPn78eGbPnl3jMv/4xz8YOXIkN954I1tttRU77LADF198MRUV\nFbVuJx6PU1ZWlvMnItKmKRGRdqxezTQrVqwgCAJ69+6dM713794sXbq0xmW++uor3nzzTQoKCnjm\nmWdYsWIFP//5z1m1alWt/UamTZvGVVddVZ/QAAiCgGQyWe/lRESaSyQSwfM8mDUL7r4brrkGBg7M\nd1giedWge9M4jpPz3BhTbVpGGIY4jsPDDz9McXExALfccgvHH388d9xxB4WFhdWWmTp1KlOmTMk+\nLysrY8CAAbXGY4xh6dKlrFmzpgGlERFpXl2Ki+lzySU4c+bYwc2mT893SCJ5Va9kpEePHnieV60W\nZNmyZdVqSzL69u3LVlttlU1EwPYxMcbw3Xffsf3221dbJhaLEYvF6hxXJhHp1asXRUVFtSZGIiL5\nZIyhvLycZd98A0OG0PfDD+F3v8t3WCJ5V69kJBqNMmLECGbOnMlxVXp9z5w5k2OOOabGZcaOHcsT\nTzzBunXr6NixIwCff/45ruvSv3//LQjdCoIgm4h07959i9cnItKUCmMx+PZblh19NL0GDsTr2zff\nIYnkXb3HGZkyZQp/+ctfuPfee/nkk0+46KKLWLx4MZMnTwZsE8tpp52Wnf/kk0+me/funHHGGSxc\nuJA33niDX/3qV/z0pz+tsYmmvjJ9RIqKirZ4XSIiTW7FCopSKSgoIHneefmORqRFqHefkYkTJ7Jy\n5UquvvpqSkpKGDZsGC+88AID0x2wSkpKWLx4cXb+jh07MnPmTM4//3xGjhxJ9+7dOfHEE7nmmmsa\nrxRU78ciItLiBAGUlOAAdO0KHTrkOyKRFqHe44zkw6auU66srGTRokXZEWFFRFqskhJYsoTKaJRF\nvs/gbbbR75a0aXUdZ6RBV9OIiEgD9OoFYQi+D6tW5TsakRZDN8oTEWkungdbbQVVri4UESUjebdy\n5Up69erF119/ndc4jj/+eG7J3KxLRBpXENh70IhIjZSMpAWhYc6XK/n7B0uY8+VKgrB5fjimTZvG\nUUcdxaBBg5ple7W5/PLLufbaazX0vkhTWLQIPv0UysvzHYlIi6Q+I8BLC0q46rmFlJRWZqf1LS7g\niqOGctiwphsDoKKighkzZvDCCy802Tbqatddd2XQoEE8/PDDnHvuufkOR6TtWLcOMqND66o/kRq1\n+5qRlxaUcO5D83ISEYClpZWc+9A8XlpQ0mTbfvHFF/F9nzFjxmSnPfrooxQUFLBkyZLstLPOOotd\nd92V0tLSOq+7f//+TN9oiOnZs2dTVFTEN998U+MyRx99NI8++mg9SyEitTIGvvvOPu7RAxphbCWR\ntqhdJyNBaLjquYXU1CCTmXbVcwubrMnmjTfeYOTIkTnTTjrpJHbccUemTZtmt3/VVbz88su8+OKL\nOUPqb87o0aN57733ss+NMVx44YVceOGF2TFhNrbXXnvx7rvvEo/HG1AaEammtNTWjDgO9OuX72hE\nWqx2nYy8u2hVtRqRqgxQUlrJu4ua5hK8r7/+mn4b/UA5jsO1117LX/7yF6677jpuu+02XnrpJbba\naisA/vWvf/GHP/xhs+veOBn561//yuLFi5k6dWp22sbr2mqrrYjH47XegVlE6qFqrUjv3hCN5jce\nkRasXfcZWba29kSkIfPVV0VFRY0DHh155JEMHTqUq666ildeeYWdd945+9rBBx/MwQcfvNl1jx49\nmksuuYR169bhui6/+c1vuOaaa+jUqVOt68oMz1+uTnYiW27FCqistGOK9OmT72hEWrR2XTPSq1Pd\nRj6s63z11aNHD1avXl1t+ssvv8ynn35KEATV7oY8YcIEPvnkk82ue+TIkXiex7x587j++uvp3r07\nP/3pTze5rlXpQZh69uzZkOKISFWZTqt9+9qERERq1a6Tkb0Gd6NvcQG19W93sFfV7DW4W5Nsf489\n9mDhwoU50+bNm8cJJ5zAXXfdxaGHHsrvNrq9+BdffMH222+/2XUXFBSw22678fTTT3PTTTdxyy23\n4Lq5u3vjdS1YsID+/fvTo0ePLSiViACw3XawzTag5F5ks9p1MuK5DlccNRSgWkKSeX7FUUPx3Ka5\nHO/QQw/l448/ztaOfP311xxxxBFceumlnHrqqVx99dU89dRTzJ07F4DS0lI6duyIX8ezrNGjR/PH\nP/6Rgw8+mIMOOijntZrWNWvWLMaPH99IpRNp5xwHunUDt13/zIrUSbv/lhw2rC93/mQ4fYpzm2L6\nFBdw50+GN+k4I7vssgsjR47kb3/7G6tWrWLChAkcffTR/OY3vwFgxIgRHHXUUVx22WWArbmo2n/k\n/vvv3+TdinfffXd83+f3v/99tdc2XldlZSXPPPMMZ599dmMVT6R9Ki21I66KSJ2pIRObkBwytA/v\nLlrFsrWV9Opkm2aaqkakqt/97ndcfPHFnH322TX2Bfn73/+efbxgwQKGDRuWff71118zbty4Wtf9\n8MMP8/Of/5wdd9yx2msbr2vGjBmMGjWK0aNHN7QoIlJZCf/9r+0jMnQoRCL5jkikVVAykua5DmO2\n7d7s2z388MP54osvWLJkCQMGDNjkvB9//DGHHHJI9vnLL7/MbbfdljNPGIYsX76cGTNm8Nlnn/HM\nM8/UaV2RSIQ//elPW1ASEWHJEntJb2GhEhGRenCMafl3byorK6O4uJjS0lI6d+6c81plZSWLFi1i\n8ODBNV4m29689tprHHjggey0007cd999jBo1Kt8hibQP69dDpnZz6FAoKqp1Vv1uSXuxqeN3VaoZ\naWP2339/wjDMdxgi7UvVAc66d99kIiIi1bX7DqwiIlusrAzWrtWw7yINpGRERGRLVK0V6dULYrH8\nxiPSCikZERHZEkEABQXgeXa0VRGpN/UZERHZEr4P224LyaSGfRdpINWMiIg0Bl3KK9JgSkZERBoi\nlYJvvoF4PN+RiLR6SkZERBqipASWL4evvsp3JCKtnpIREZH6isdh2TL7WJfyimwxJSMiIvWVGfa9\nUyfYxKiSIlI3SkZEJK/Wr1/P+PHj6zz/cccdR9euXTn++OO3aLu+77P77ruz++67c9ZZZ21y3tWr\nVzNhwgT7pLwcVq2yj/v3twOdicgW0XVoIpJXM2bMqFdi8ctf/pKf/vSnPPDAA5uc7/777wfg9NNP\nr/H1Ll268MEHH9Rpm127dmXAgAHMmTOHMd3TN9Ts1g06dKhj1CKyKaoZEZEG+eyzzzj88MMZMWIE\n+++/PytWrABg1KhRvP/++wBMmjSJO++8E4Bjjz2WiRMnsueee7L99tvz4YcfAvDII49w9NFH13m7\nBxxwAJ06dWrk0uSqqQxHH300jz34oB363XFgq62aNAaR9kTJiIjUWzwe57zzzuPuu+9m7ty5HH/8\n8fzlL38B4He/+x3XXXcdN998Mx07duTcc88F4D//+Q8jR47kvffe47e//S233noriUSCkpIS+vTp\n0+xlKCsrY8SIEeyzzz68/vrrOa/VVIbhw4fz1rvv2lFWe/fWsO8ijUjNNCJSb88++ywLFy7kyCOP\nBGxykul3ceSRR/Lb3/6WdevW8cILLwCwbt064vE4U6ZMAWDIkCE888wzrFixgi5duuSse8SIEcRr\nGLvjlVdeod9mrlwJgoARI0YAsCrdr+PWW28FYO7cuXiel53366+/pl+/fixYsIAjjjiCjz76KHuL\n85rK0LNnT0qWLlWNiEgTUDLSRu2///7svvvu2R/iulq5ciVDhgzh3XffZdCgQU0SW0vR0Pco344/\n/nj23nvv7IE9Hz766CNuvvlmfvzjH1d77d1332XNmjXssMMO+Onh0f/zn/+w8847Z5OBefPmscsu\nu1BQUFAt8Zg7d26D4/I8L9sPZHN9RjKJzbBhwxg6dCiff/45I0eOrLkMxhCvrKSgoKDBsYlI7dRM\nIzmmTZvGUUcdlU1E9t9/fy688MK8xiS5Lr/8cq699lrKysryFkOfPn14+eWXs88/+ugjAJYsWcJZ\nZ53Fq6++yhdffMEnn3wC2GTkm2++IZlMsnz5cu68807OOussunXrRkVFBalUqlnjX716dTYJ+u67\n71i4cCHbbLNN7WVYtoz/zpzJ0B12aNY4RdoLJSOtSCKRaNL1V1RUMGPGjM1e5liTpo5NNth1110Z\nNGgQDz/8cN5iOOOMM1izZg077bQTu+22G4888ggVFRUcf/zx3H777QwePJhf//rXXHPNNYBNRo47\n7jjGjh3LgQceyO9//3sGDhwIwLhx43j33XfrvO1DDz2UE044gRdeeIH+/fvz3nvv1Tv+Tz75hJEj\nR7Lbbrtx5JFHctttt2UTo2pluPpqKCnh9bfeYsL++9d7WyJSB6YVKC0tNYApLS2t9lpFRYVZuHCh\nqaioyENkW2bcuHHmvPPOM+edd54pLi423bp1M5dddpkJwzDn9Ysuush0797d7LfffsYYYyorK835\n559vevbsaWKxmBk7dqx5991367Xumjz11FOmR48e2eeTJk0yQM7fokWLao1t4MCB5g9/+EPOOnfb\nbTdzxRVXZJ+HYWhuuOEGM3jwYFNQUGB23XVX88QTT9T7vdvctsaNG2fOP/9886tf/cp07drV9O7d\nOyeOzDwXXHBB9vmLL75oOnfubB544IE6r2NT++If//iHKS4uNkEQGGOMmT9/vgHMxRdfnF3+Zz/7\nmTnppJNyYtrcNo0x5sorrzT77rtvPd6x/Bo7dqxZvHhxja/NmTPHnHvuuc0cUT18+60x771nDhw1\nyqxaubJRVtmaf7dE6mNTx++qVDOSZw888AC+7/POO+/wxz/+kT/84Q/ZqxKqvv7WW29x1113AfDr\nX/+ap556igceeIB58+ax3Xbbceihh2Y77NV13Rt74403sm3mALfddhtjxozh7LPPpqSkhJKSEgYM\nGLDJ2Dbnt7/9Lffddx933nknH3/8MRdddBE/+clPql3N0BgeeOABOnTowDvvvMONN97I1VdfzcyZ\nM2uc97HHHuPEE0/kwQcf5LTTTqvzOja1L/bbbz/Wrl3L/PnzAXj99dfp0aNHTllfe+01xo0bV++4\n99prL959990aO3oCXHfddXTs2HGTf7NmzarfG7oFlixZkvPZqWr06NHsueeezRZLvSQS8MMPrC4r\n47zzzqNrt275jkikbWqm5GiLtOWakSFDhuTUVlxyySVmyJAh2dd33333nGXWrVtnIpGIefjhh7PT\nEomE6devn7nxxhvrvO6aHHPMMeanP/1ptRir1h5Unb5xbJurrVi3bp0pKCgws2fPzpnnzDPPND/+\n8Y9rjasmdakZ2WeffXJe33PPPc0ll1ySU4YLLrjA3HHHHaa4uNj8+9//rlbGTa2jLvti+PDh5qab\nbjLGGHPssceaa6+91kSjUVNWVmZKSkoMYD755JM6bzPjww8/NID5+uuva3x/Vq5cab744otN/pWX\nl9e4rFSxaJEx771nzCefGLOJWsX6as2/WyL1UdeakbZ7Nc369bW/5nlQtVf8puZ1XSgs3Py8DRyJ\ncfTo0ThVhpMeM2YMN998M0EQAOTUVAB8+eWXJJNJxo4dm50WiUTYa6+9sp0F67Luqpc4ZlRUVNTr\naoGNY9uchQsXUllZySGHHJIzPZFIsMcee9RrXXWx66675jzv27cvyzI3N0t76qmn+OGHH3jzzTfZ\na6+96rWOuuyL/fffn9dee40pU6Ywa9YsrrnmGp566inefPNN1qxZQ+/evdlpp53qHXdh+jNZXl5e\nY9m7detGN53Fb5mKCkgP5KZh30WaVttNRjp2rP21ww+H55/f8LxXL3u/iZqMGwevvbbh+aBBG36g\nqjKmIVFuVoeNkhyT3o6z0Q+jMabatPrq0aMHq1evbnBsrutm48tIJpPZx2EYAvD888+z1UZjNcTq\nOYDU5rYFNjGoynGcbAwZu+++O/PmzeO+++5jzz33rPYebmodddkX+++/PzNmzODDDz/EdV2GDh3K\nuHHjeP3111m9enW1Jpq6xp1pkuvZs2e15cE201x33XU1vpbx4osvsu+++1abvqWfI8m18edURKpr\nu8lIK/H2229Xe7799tvXWHMBsN122xGNRnnzzTc5+eSTAXsQfv/996tdglvfde+xxx489NBDOdOi\n0Wi2lmZzevbsSUlJSfZ5WVkZixYtyj4fOnQosViMxYsX13gQro/Nbauutt12W26++Wb2339/PM/j\n9ttvr/OyddkXmX4jt956K+PGjcNxHMaNG8e0adNYvXo1F1xwQb1jBliwYAH9+/enR48eNb4+efJk\nTjzxxE2uY+OEMEMHzzRjYOVKe2Kj8UVEmlTbTUbWrav9tY0PxhtVgedwN+rj+/XXDQ6pJt9++y1T\npkzhnHPOYd68efzpT3/i5ptvrnX+Dh06cO655/KrX/2Kbt26sfXWW3PjjTdSXl7OmWeeuUXrPvTQ\nQ5k6dSqrV6+ma9euAAwaNIh33nmHr7/+mo4dO9KtWzfcjd+TtAMPPJD777+fo446iq5du/K73/0u\nJ/Hp1KkTF198MRdddBFhGLLPPvtQVlbG7Nmz6dixI5MmTarz+7a5bdXHDjvswKuvvsr++++P7/t1\nHgStLvuiuLiY3XffnYceeojbbrsNsAnKCSecQDKZZP8GXio6a9asTd7pdkubaY477jhee+01Djro\nIJ588skGr6cxrV+/nuOOO45XXnlls/M2SvyOAz164Ps+w4YNA2zT5KY6ga9evZqTTz6ZF198sWHb\nFGmn2m4yUp8+HE01bx2cdtppVFRUsNdee+F5Hueffz4/+9nPNrnM9ddfTxiGnHrqqaxdu5aRI0fy\n8ssvZxOIhq57l112YeTIkfztb3/jnHPOAeDiiy9m0qRJDB06lIqKChYtWlTryKxTp07lq6++4sgj\nj6S4uJj/+7//q1Zb8X//93/06tWLadOm8dVXX9GlSxeGDx/Ob37zm+w8999/P2ecccYmz9Drsq36\n2HHHHfn3v/+drSHZVNJWVV32xQEHHMC8efOyiUfXrl0ZOnQo33//PUOGDKl3rJWVlTzzzDM5g441\ntrreGRc2P9JpY6nP3X23KP6KCohGsyctDb6775gxdVpGRNDVNPlU25Uq+fT888+bIUOGZMfGyIcr\nrrjCjBs3Lm/bb+luv/12c8ghhzT5dl599VXzox/9aLPz3Xfffea+++6r9fVPP/3UTJgwwQwfPtyM\nGzfOLF++3BhjzF577WXee+89Y4wxp512mpk+fbo55phjzIknnmhGjhxptttuO/PBBx9k1zNq1ChT\nUlLStPEHgTH/+Y8xH3xgzLp1xhhjunfvXuNyNcVvjDHPPfec+eUvf7nJbbbm3y2R+tA4I9Ighx9+\nOOeccw5LlizJWwwvv/wyN954Y96239JFIhH+9Kc/5TuMOqnv3X1rurMv0Hx3912+HDJjt6T7idR2\nd9/a7k48fPhw3nrrraaNU6SNabvNNNJgDe1U2VjmzJmT1+23dJtrxmsOdb07bn3u7lvbnX2Banf3\n3ZI7+9Ya/x/+AJWVzH3wQbyBA7PNNLXd3bemO/tC9c7VIrJ5Skby6LWqlwyLtCJ1vTtufe7uW9ud\nfYFqd/fdkjv71hr/wQfD0qW2RqTKVUq13d23prsTg024dHdfkfpRM42INJn63N23tjv7Ak1/d99U\nCn74wT6uMsBZbXf3re3uxAD//e9/GTp0aNPEKdJGKRkRkWoa4864UL+7+27qzr5Qv7v71jv+1avt\nuCIdO0JxcXZyTXf3LSwsrPXuxGDvQTRhwoT6vVEi7ZxjTMsf4aisrIzi4mJKS0vp3LlzzmuVlZUs\nWrSIwYMHq2pUpBXbZ599ePTRR2u9od7bb7/Ngw8+yPTp0xt3w8bAV1/ZhGTIkC2+fD8ztsnGl9pX\npd8taS82dfyuSn1GRKRF2NSdfcHea2nj+y81CseBbbeFysotHml19erV9u6+m0hERKQ6NdOISItQ\nl0HrzjjjjKYLoBFqKLp27cr//M//NEIwIu2LkhERaZ+MgSVLIJHIdyQi7Z6SERFpn1atgpIS+OQT\n2OiuyCLSvJSMiEj7E4a2VgSgV6/qN8QUkWalb6CItD/LltnmmWgUevfOdzQi7Z6SERFpX1Ip2zwD\n0K+fakVEWoAGfQunT5+evT5+xIgRzJo1q07LvfXWW/i+z+67796QzW5SKxguRURagpISCAIoLITu\n3fMSgn6vRHLVOxl5/PHHufDCC7nsssuYP38+++67LxMmTGDx4sWbXK60tJTTTjuNgw46qMHB1iQS\niQBQXl7eqOsVkTYoHrdNNJAz7Htzy/xeZX6/RNq7eo/AOmrUKIYPH86dd96ZnTZkyBCOPfZYpk2b\nVutyJ510Ettvvz2e5/Hss89mb1JVF5sbwa2kpIQ1a9bQq1cvioqKcPL0AyMiLVwQwIoVdoCzKkPN\nNxdjDOXl5SxbtowuXbrQt2/fZo9BpDk1yQisiUSCuXPncumll+ZMHz9+PLNnz651ufvuu48vv/yS\nhx56KOceDrWJx+M5d+gsKyvb5Px9+vQBYFnmjEdEZHPqMMhaU+nSpUv2d0tE6pmMrFixgiAI6L1R\n7/PevXuzdOnSGpf54osvuPTSS5k1a1bObbY3Zdq0aVx11VV1jstxHPr27UuvXr1IJpN1Xk5E2okw\ntE0yLaDWNBKJ4HlevsMQaVEadG+ajZtBjDE1No0EQcDJJ5/MVVddxQ477FDn9U+dOpUpU6Zkn5eV\nlW3ynhUZnufpSy4i1f31r3DHHXDrrTB6dL6jEZGN1CsZ6dGjB57nVasFWbZsWbXaEoC1a9fy/vvv\nM3/+fH7xi18AEIYhxhh83+eVV17hwAMPrLZcLBYjFovVJzQRkZqtXw9Tp9pBzl5/XcmISAtUr6tp\notEoI0aMYObMmTnTZ86cyd57711t/s6dO/PRRx/xwQcfZP8mT57MjjvuyAcffMCoUaO2LHoRkc25\n6SabiAwaBBdckO9oRKQG9W6mmTJlCqeeeiojR45kzJgx3H333SxevJjJkycDtollyZIlPPjgg7iu\ny7Bhw3KW79WrFwUFBdWmi4g0uiVL4MYb7eMbbmiUO/OKSOOrdzIyceJEVq5cydVXX01JSQnDhg3j\nhRdeYGD6MrmSkpLNjjkiItIsfvMbKC+HsWPhhBPyHY2I1KLe44zkQ12vUxYRyXr/fdhzT/v4nXdg\nr73yG49IO1TX47duyiAibdM999j/p5yiRESkhWvQpb0iIi3e9On2ypmDD853JCKyGUpGRKRt8jw4\n44x8RyEidaBmGhFpW2bNsp1WRaTVUDIiIm3HkiUwYQLstBPoqj6RVkPJiIi0Hb/+tR1xtX9/qMMt\nJESkZVAyIiJtw5tvwiOP2Jvh3X57i7gpnojUjZIREWn9ggDOP98+PvtsGD48v/GISL0oGRGR1u+e\ne+CDD6BLF7jmmnxHIyL1pGRERFq3Vavgssvs46uvhp498xuPiNSbxhkRkdYtkYADD4TPPoNzz813\nNCLSAEpGRKR169MHnngC1q4FXz9pIq2RmmlEpG3o1CnfEYhIAykZEZHW6dFH4cc/hpKSfEciIltI\nyYiItD6lpXDRRfDYY3D//fmORkS2kJIREWl9fvtb+OEH2HFHmDIl39GIyBZSMiIircvcuTB9un08\nfTrEYvmNR0S2mJIREWk9gsBevhuGcPLJ9pJeEWn1lIyISOtx993w3nvQuTPcfHO+oxGRRqJkRERa\nhzCEO+6wj6+91o4vIiJtgkYIEpHWwXVhzhy46y6NtCrSxigZEZHWo1MnuPjifEchIo1MzTQi0rLF\n4/DII2BMviMRkSaiZEREWrbrroNTTrGjrYpIm6RkRERargULYNo0+/j44/Mbi4g0GSUjItIyBQGc\ndRYkk3D00fCjH+U7IhFpIkpGRKRlmj4d3nnHdlq94w5wnHxHJCJNRMmIiLQ8ixfD1Kn28Q03QP/+\n+Y1HRJqUkhERaXl+8QtYvx7GjoVzzsl3NCLSxDTOiIi0PJddBiUlcM89drAzEWnTlIyISMszahS8\n+676iYi0EzrlEJGWY/HiDY+ViIi0G0pGRKRlePJJ2H57+P3v8x2JiDQzJSMikn/Lltmb3yUSUFaW\n72hEpJkpGRGR/DIGfv5zWLECdt0Vfve7fEckIs1MyYiI5Ndjj8FTT4HvwwMPQDSa74hEpJkpGRGR\n/CkpgfPOs49/9zvYffe8hiMi+aFkRETywxg7oNnq1TB8+IYRV0Wk3VEyIiL5YQzstx907mybZyKR\nfEckInmiZERE8sN14eKL7dgiw4blOxoRySMlIyLSvJJJe9+ZjOLi/MUiIi2CkhERaV7XXGP7iMyd\nm+9IRKSFUDIiIs3nrbdsMvL55/Df/+Y7GhFpIZSMiEjzKC2Fn/wEwhBOOw0mTsx3RCLSQigZEZHm\n8YtfwNdfw+DB8Kc/5TsaEWlBlIyISNN7+GF46CF7Bc1DD9nLeUVE0pSMiEjT+uwzO7gZwOWXw957\n5zceEWlx/HwHICJtXNeuNgFJpeC3v813NCLSAikZEZGm1asXvPgirFsHnpfvaESkBVIzjYg0jW++\n2fDY8zS4mYjUSsmIiDS+Tz+FnXeGn/0M4vF8RyMiLZySERFpXOvXwwkn2P9ffgm+WoNFZNOUjIhI\n4zEGzj4bFiyA3r3tJb3qJyIim6FkREQazx/+AI8+amtDnngC+vTJd0Qi0gooGRGRxvHqq/DrX9vH\nf/gD7LtvfuMRkVZDyYiIbLn16+GkkyAIYNIkOO+8fEckIq1Ig5KR6dOnM3jwYAoKChgxYgSzZs2q\ndd6nn36aQw45hJ49e9K5c2fGjBnDyy+/3OCARaQF6tAB7rsPDj4Y7rwTHCffEYlIK1LvZOTxxx/n\nwgsv5LLLLmP+/Pnsu+++TJgwgcWLF9c4/xtvvMEhhxzCCy+8wNy5cznggAM46qijmD9//hYHLyIt\nyOGHwyuvQGFhviMRkVbGMcaY+iwwatQohg8fzp133pmdNmTIEI499limTZtWp3XsvPPOTJw4kcsv\nv7xO85eVlVFcXExpaSmddYMtkZbjL3+BAw6AbbfNdyQi0gLV9fhdr5qRRCLB3LlzGT9+fM708ePH\nM3v27DqtIwxD1q5dS7du3WqdJx6PU1ZWlvMnIi3MU0/Zy3hHjYKSknxHIyKtWL2SkRUrVhAEAb17\n986Z3rt3b5YuXVqnddx8882sX7+eE088sdZ5pk2bRnFxcfZvwIAB9QlTRJra++/DqafaxyefDH37\n5jceEWnVGtSB1dmoc5oxptq0mjz66KNceeWVPP744/Tq1avW+aZOnUppaWn279tvv21ImCLSFL77\nDo4+GioqYMIEuOWWfEckIq1cvcZp7tGjB57nVasFWbZsWbXako09/vjjnHnmmTzxxBMcfPDBm5w3\nFosRi8XqE5qINId16+Coo2yzzM47w2OPabh3Edli9aoZiUajjBgxgpkzZ+ZMnzlzJnvvvXetyz36\n6KOcfvrpPPLIIxxxxBENi1RE8iuZhIkT4YMPoFcv+Oc/QR3KRaQR1PuUZsqUKZx66qmMHDmSMWPG\ncPfdd7N48WImT54M2CaWJUuW8OCDDwI2ETnttNO47bbbGD16dLZWpbCwkGLdUlyk9Vi/Hlavtpfu\n/v3vMGhQviMSkTai3snIxIkTWblyJVdffTUlJSUMGzaMF154gYEDBwJQUlKSM+bIXXfdRSqV4rzz\nzuO8KqMyTpo0ifvvv3/LSyAizaNLF/jXv+DDD2H06HxHIyJtSL3HGckHjTMikkcLFsCwYfmOQkRa\noSYZZ0RE2pm//Q123RUuvxxa/nmLiLRSSkZEpGYvvWTHEjEGVq3KdzQi0oYpGRGR6l59FY47DhIJ\nOPFEuO023fxORJqMkhERyfXWW3YskcpK+/+vfwXPy3dUItKGKRkRkQ3ef9/efXf9ejjkENtnJBrN\nd1Qi0sYpGRGRDd5/H8rKYL/94NlnoaAg3xGJSDugcZxFZIPJk6FnTxg/HoqK8h2NiLQTqhkRae/m\nzYMVKzY8/9GPoFOn/MUjIu2OkhGR9uytt2D//W1NyOrV+Y5GRNopJSMi7dVrr8Ghh8LatXao90gk\n3xGJSDulZESkPXruOZgwYcNVM//8J3TsmO+oRKSdUjIi0t7ce68d0KyyEo48Ev7xD3VWFZG8UjIi\n0p7cfTeceSYEAZx+Ojz9tC7fFZG806W9Iu3J+PHQty9MmgTXXach3kWkRVAyItLWBcGG4dwHDYL/\n/Ad69MhrSCIiVamZRqQtW7IERo+2zTEZSkREpIVRMiLSVs2dC3vtZYd4nzIF4vF8RyQiUiMlIyJt\n0dNPw777wvffw9Ch8O9/QyyW76hERGqkZESkLQkC+O1v7ZDuFRV2ULPZs2GbbfIdmYhIrdSBVaSt\nSCbtuCGvvGKfX3AB3HQT+Pqai0jLppoRkbYiEoGdd7YDmD38MNx6qxIREWkVlIyItGbGQFnZhuc3\n3GDvwnvyyfmLSUSknpSMiLRWK1fC//wPHHYYpFJ2WiQCO+6Y37hEROpJyYhIa/Tqq7DbbvDss/bS\n3XfeyXdEIiINpmREpDVJJuGyy+Cgg+yAZjvuaBORsWPzHZmISIOpd5tIa/HBB/bmdh9+aJ+feSbc\ndht06JDPqEREtpiSEZHWwBj4xS9sItK9O9x5J5xwQr6jEhFpFGqmEWnJjLH/HQfuugsmToSPP1Yi\nIiJtimpGRFqisjK48kp7dcwNN9hpO+8Mjz2W17BERJqCkhGRlsQYeOIJuOgie18Zz4Of/xwGDsx3\nZCIiTUbNNCItxWef2XvJTJxoE5HttoPnn1ciIiJtnpIRkXxbvdreR2bYMJg5095d96qr4KOPbHIi\nItLGqZlGJN9SKbj/fvv/iCPs5brbbpvvqEREmo2SEZHmFgTw73/DIYfY5z17wu23Q9++cPDB+Y1N\nRCQP1Ewj0lzCEP72N9hlFxg/Hl5+ecNrp56qRERE2i3VjIg0tTC095C54gpYsMBO69IFSkryGZWI\nSIuhZESkqQQBPPoo/P738J//2GnFxTBliu2wWlyc3/hERFoIJSMiTcV17YBlCxZAp05w4YV2/JCu\nXfMdmYhIi6JkRKSxLF4MM2bAr39tb17nOHYU1c8+g8mToVu3fEcoItIiKRkR2RJhCP/6F0yfDs89\nZ5/36AHnn29f/9GP8hufiEgroGREpCFWrIC//tXePfeLLzZMP/BA2Gmn/MUlItIKKRkRqa+yMth6\na6iosM87d4bTT7dNMUOG5DU0EZHWSMmIyKYYA/Pnw5tvwi9/aad17mxrQEpK4Jxz4OSToWPH/MYp\nItKKKRkR2ZgxMG8ePPmkvYPul1/a6UcfDYMG2cd/+xsUFeUtRBGRtkTJiEjG55/bq2GefBK++mrD\n9IICm4gkEhumKREREWk0Skak/SottQOTZS65nT8fbrzRPi4stDetO+EEOPxwNcOIiDQh3ZtG2o8w\nhA8+gJtuggMOsJfgTp++4fVDD4WJE23TzPLl9v+JJyoRERFpYqoZkbatstI2vfz73/Daa7BqVe7r\nH3+84XGXLvDYY80ZnYiIoGRE2pJEwtZ8rFoFhx1mp/k+/OY39nJcsLUc++5rXz/iCNh227yFKyIi\nlpIRaZ2Mge+/h3fegTlz7N/cubYmZPDgDR1Qfd/elC4Ws5fjjhwJkUh+YxcRkRxKRqTlC0P49lsY\nOHDDtMMOg1deqT5vt2524LF43CYgAFdf3TxxiohIgygZkZYjU9uxcCF88on9v2ABfPihHe103Tp7\nmS3Y8T5cF3beGcaM2fC3ww72BnUiItJqOMYYk+8gNqesrIzi4mJKS0vp3LlzvsORLbVuHSxaZAcT\nO+ywDQnGz34G99xT8zIFBbYZZuhQ+3zFCntn3MLC5olZRETqra7Hb9WMSNOaPRteftn24fjyS/v/\nhx82vP7xxxsSjG23Bc+D7baz04YMsf933x123NH2/8jo0aNZiyEiIk1HyYjU34oVdrTS776zfTm+\n+y738csv2+YTgFdfrbnPRrduNvnI3GwO4Lzz4KKLIBptnnKIiEiL0G6TkSA0vLtoFcvWVtKrUwF7\nDe6G57bjvgbLltkEY9kyW3Ox8f+77tpQg3HPPfZy2dp8++2GZGTvveGss2zise22sM029n+XLtWX\n0+BiIiLtUoOSkenTp/P73/+ekpISdt55Z2699Vb23XffWud//fXXmTJlCh9//DH9+vXj17/+NZMn\nT25w0FvqpQUlXPXcQkpKK7PT+hYXcMVRQzlsWN+8xdUgYQjr18PatfZv66039KN4//0NA32tXl39\n/5NPwh572Hnvvx8uuaT27SxevCEZGTTI/g0YAP3727+qj4cM2bDcAQfYPxERkVrUOxl5/PHHufDC\nC5k+fTpjx47lrrvuYsKECSxcuJCtt9662vyLFi3i8MMP5+yzz+ahhx7irbfe4uc//zk9e/bkRz/6\nUaMUoj5eWlDCuQ/NY+Neu0tLKzn3oXnceNxQDtqxO+DYizIM6XkN4GT/b+q1nHlCg6msxKksh4o4\nTmU5TkWccPvtIBrDAN7HC/A+/hinohwqK3EqK3EqKmB9Oc66tVT86hJMv76AQ+z+eym443acdeuy\nf1WVzvx/hHvuCQZiL75M0eW/rfW9KFv0NanB2wGGaLceFA4ahOnZi7BnT8KePTE9exL27IXp2ZPU\nNtth1qy15Z1wBEw4Mqe8juNiK5YcTGAwa9aC4+BgMGx4s+r7Xtb5fW7kdbuug2MgTL/m4GCMsa/W\nsJzjgENuzVpm/qrvj+O4YAxh+i+zXNV117aeTEzGccCEGByMCautO/PZzpSm6uMwDLPbcTOxpNft\nAqFxMCbAcT1cDMY4hCbEGFNtf2bidBz7yPU8PBeCwJAMAsDgOi6e6wKGIASw8Trp5UjHFAKe6+B7\nHmEYkgoM9t13Mm8CxnHwXAfXcUilQkIMnuvYOBwn+/kLgoAg/d5G/QjRqIcxkEqF2ffL8xwcxyEI\nQsLQ5Ox/W1QHz3Ps59kYjDHp+ex7l+n2n3mcuQ7AcdKfHSezXHq/OWBMZp2GIHBw3RDH8QiCFEEA\njmPwPA/HgSAICQKD77v4vosxdl9nYgzDzLpJf/5y43WczHwQhgHGOOn33sP3HVzXTa/DEAQBYegQ\niWSmk37vXSBML2syuyHnO+J5bs50Y9KfMbPhc595r6sum5mX9Gcvsw5nw+5Ov2eGILD70nWdastU\n3SeZ76HdV/a9cd1MfLXvv5p+U3J+IzYqX+b9zeznTcl8BjYuV9XHta2j6rKZeWqatjmNtZ6mVu+r\naUaNGsXw4cO58847s9OGDBnCsccey7Rp06rNf8kll/CPf/yDTz75JDtt8uTJfPjhh8yZM6dO22ys\nq2mC0LDPDf/OqREZ881/2H7FN0SCFNEwRQcCdusZJRKk8IIkb/zkPOIFhYShYY+Zz7Lt3LfwU0m8\nVBIvmcRN//eCJI9ccTvru/fCGMMBj9zJXs8+RCQRrzGWu6c/yaoB2xAawz4P/5n9Hq/lKhLgvt8/\nwJLtd8ZzXfZ65gEOuu+2avOErkuioIgnfncr3w3bAweHrefNYZd//5OKTsVUduhEvHMXKjt2orJj\nZ8o7dmZZ/21IdOyEMcYeMBx7gAnTX9zMD+qmXssciKIRD9dz8F2XVBASBCE49kDmOS6pMARDvda9\nue1uyfKbei3ieXh+JllxCMIQxyF7ADDkLue5Lq4LvuduOMAaYw8ooc1aohEP33eJRXyCMCSRDOzB\nEYPrOtl1O07N63FwcD17MHYcl2QqhTH2wB9JH7BiET/7IwMQYnDTB/MwfQBLJFIEoT2IRyIeoTF4\nuDieg+eCg0symSQSiWTfn3giSTKVuz9DY9fhuS6e5xL1PboUxnCMoTxIUVaeIJEMKIpFKIz56XIY\nEqkUEd8n6rn4nosxhvJECoxDQdSjY8QnYQIqEgHr4wlcx8UAQRgS9XyiEfteVyYCglQInkNhxKfQ\n93FszkNZZZx4IiTqe/Tv2pGenQvwPYf15QnWJwMKfJ+imIfjOMSTKdZXpkim3+PA2HIWeB6xiEfU\nd0kGAeXxgERgk7KQ9I94Olk1GPv5xiHmecR8j4jrpBMih6jr4HgORTEf18kkcJAKQhzHYV1Fgspk\nCA50ikVxMKyNJwmBjhGfTh2ixHyXRCogNJBMBcRT9vvkALGoLU9hxG47cyBNhSHliYC1FQlSKUMK\nQ5fCGMVFPh2jUUITsmp9nNLKBL7rEYu4FBdGcYHKVIDrOCQDm7ymgpAw/f0NQvvedirw6RyLEfXt\n5yGeDKhMBayLJ218GDrEInSKRSiM+DllTgXpZNJx7Pctm7BR5f0xVCRTxNOf9Yjn4XtOdhmAZBAQ\nhPY7FPNt0pkIAowx+K5Lx8IonutQEU9RmbSf/aonFK5rf7Oq/qZk/vuem91fmfIlwzBb/g5R+9mu\nrXk/CA2JZEBY5Tu5cRldxyEa8aqto+qymXmAatM217WgsdazJZrkappEIsHcuXO59NJLc6aPHz+e\n2bNn17jMnDlzGD9+fM60Qw89lBkzZmz40dtIPB4nHt9wEC/LDOW9hd5dtConEQE49uNXmfjRzFqX\neWT00ZQV9yA0hlEfL2Cnt1+tdd7vv17K8nIXcNmjtLxaIhK4LolIjGQ0xrffrWKJ6YyDQ49YV7rv\nuAeJSIxUNEY8EiUZiZGIxqgoKGJBhcuq71bjuYaVg/fivQtvIl7QgfJYAZWxQipiRSSjUXA8PNcQ\nfrMKHMMXPXZg5gkXYX+cXPta6Gw4CK9OwOoVNb9mTO3LpV8zxsF1wXM97GfcxXXtD2FgDIT2bNhz\n7f+UMfYHvA7r3tx2Hafhy2/qNcfxiPpA6BC6EHVdgtCQDENc7HZTgckmJAayB3HXBc/J1AIY+x5g\nzzwinoPneniefS8yyUcyCAhDW4PguhvOlqquxzgOvmtb5HDBdxySgT2rddM1BZ7r4vu2diTzQ5sK\nDX76RyaRstuxOWGmbsPguT4FEYcgPX+h72IcexZu8w+7H+OpEJPen74H4GAch6jr4kc8CqM+qyIO\n5Slb0+AYQ3kixPXsD67rOEQ9h3j6LDfiuTiY9AHOocC35U0aQzT9i10aDwiCAACDS1HUJTCGRGDs\n/MYQDwyxiEenmEcq2HBwwnEpikZIJeMsXROhuDCK77lUxEN814BjCAAPl/JEisrKJCkTZhPHqO8Q\n4lIQ8QhDw/p4yr4nyYBkABHPwRCSTKXrbhyDwSXqu/ieg+M6RH2PmO+SDEKikQi9OkRYmwxwcene\nIcKaigSllUm7L0KH0AT8EIYEBnzPo3PUp2x9Bf46lx5FMVzHoTyZYn0iZZNTDBVJQ3GHKF2TEUoN\ndCqK0DHmsS4eEo8nqUyFrE8kKU+G+K6LF4YkEh6lkTgdYy4/lMVJJEO6FIQsXZeibH0lPTsXUBEP\nSIXGJg9AIgiJJwOblBuHTgU+ngmJJwKKCyNEPJeyygTrK23yUB4P8RwHNzQkkyk6RH06FkRIBIYw\nDEmEhojj4ERcSitSFPgeHQt81icDHANFUZfVFXEq4wEdoi7rEgFrkgm6dYhQEPVZU54EoDDiEQ9C\nwoTBiYasDwJMAMWFEeJByNryODHfpTwVgjFUplJUxAOKIi54DkHcEPXdbK1LJllwXfsghc04PRfW\nxpPp5N8hkbTJqOtAYcyvVrtgjE0CUsbgOdh9ZqBDzMuWsWOBT8r+CFAQ9XJqLTLL+q5DKjSYRMoe\nQyA7bePlNtZY62ku9UpGVqxYQRAE9O7dO2d67969Wbp0aY3LLF26tMb5U6kUK1asoG/f6n00pk2b\nxlVXXVWf0Opk2drKatM+7LcDHZKVJDyfpOuT9HyKO8WIFUYJPB8KC9PVvCFzR45j2VaDSPkRAt8n\n5fkEkSgp1yPu+VT07ImXPiv69/gTmD3uSBKRKKlYAXE/QsL1ibhOtuo8agyO6zJvn/G8u/f4nNdI\nv5Y5KBSkX1vXpw/revfOec13wDNscvmmeM13IMCh0HdtNXn6C+x4LlEMycDgp6tGPQfc9NlnY2w3\n1UTljXouXpXXI75HlBCThIhtQ8EN7IHZSTc/gJM96Pueaw/2ocE3hhAHP92EEvXtGZjnOYTphMBN\nQTIZ2oNz+v0zJnc9ruNkfzhcANfF90PiIRR4DgH27DsTr2PbW3CNwU/XXOHaJMpzIGUcPBOSCAzR\niEss4tp1pzONzhGHdUkHH0MqNHi+g+uFJIIQP12D5Hk2gYl5Lq7v0iFia3N8xxC4DjHPBT8gDGw1\nf8QD3/WI+obKEAo8ezadCg0x16Eg4kMYkkgERDz7eeoAVCRJJ3z2zDcIQgITEot4+I4DyYCY5+K7\nPh4BydAl5oPre3SOebi4hCkIQiiM+PgFIfHAHpiSKUMs6hHzIYyGmIRNriO+b5sfQkNobKIX8UIw\nLk662co2ibiEtk3Dnlmma7Xs58eevUc8j9CERFwX43q4xt6NIGXsmfWydSm6xnwSrsHHZU08iZNO\nsAqiEcJEChNCMnQoLvRZnwrxHS/bPBMzAZ7j4roeEBKGtqnLYHB9W/YO0QiVySSdoh7Gtc1mydCQ\nMg6u41Jc4OJFPGIpY5PSlENRgc/KdUkKIx4VqZCI59kDl3GI+bZ5xnVtcmgMBIb059oh5vskUwEF\nEQeTbkYLsOuO+i7r4gF+utnFJt1Bthkr/Tba5sJ0raHnefi+IZGytU+e42JI2ceui2cMHpACTGgT\nRcdxifmGeCrADex6Xde1j10HXMeeXHj2JKmD61GRCij07P8C17M1YOlWG5sgOgQhxDwvW7sShLnN\nMFV+VgjTSYBJJy0OuWW0vxvk1IpuvKyTPhFJpeznzPfd7LSNl9tYY62nuTSoA2tNWeCmsqqa5q9p\nesbUqVOZMmVK9nlZWRkDBgxoSKg5enUqqDbtkd0n8MjuE3Km7d4zQo8iZ8OZc8JWaX02aCifDRq2\n6TP2VECAS7KwI6tjnTbMExoI7Wu5y5vs8g19LZWuKWiKdW9uu64LFSG5NSOBqVPNSEssb2VATs0I\nof3BSYUhYbWaEZOtGQnSNSNhABvXjKQch4hnMCG11oyEATk1I1XXYxyHIKdmxGRrRirSNSMmXTMS\nJjdUQadCQ5itGbE1FomNakYSJsQ1ZkPNCAFlQW7NSFBDzUgqZWtGnAB847DeCekQcUilm64qgiCn\nZsQYB7wgWzNSaTLvOyQDB2NS2JopWwuFMayvUjOSxMV+tNLxJAPi6ZoRgGiYIhUAJrTTAoNjHIo7\n2MTEcyEZpnJqRlwPUgHEUykSiYDAhAQhOCnsdxZbTR+EoW2uMCGpVEAQghvYmpEgzBw8bc2IZWtG\nkkGA69hmjWTo4IQBoROQTLn4sYA1iSQx31ARJDGhQ8IEuIQEHsTDgMpEkmQQ4vsuEddQmUjhmJCU\nCXACWzMSTxkKTEgY2iYcN2ZIBYF9b1MhLrZmJCRkbQK6eS5BaKvmfccQmpDSypAuGOJBQFH6wF9e\nGRBxoTIZ4GJrRoLANldWJB18zyEMw2wfF8+xTYY2JtvsFYYOnV0H4xo8HDzHfg59xyER2kQ7SPeD\nsZ97+3mwNQ6Z382QIEg3aZr0d8LYkxqwzXdBaAgDQ8wDxyX93bCfg4jrEvEckilbI2NrB+1vU+jZ\nmKO+SzK0NTmZ/4kwJOq6pByyNSOpwKRr42wC6Ltkm5c2lmmCSYX2BCBTrqplBJM+ucpdR9Vlfdd+\nLzPNKFWnbbzcpmLYkvU0l3olIz169MDzvGq1IMuWLatW+5HRp0+fGuf3fZ/u3bvXuEwsFiOWua9I\nI9prcDf6FhewtLRyw5nxRjpEXYZv2822SbawvgwtdbvqM6I+I03RZ6S4KfqMRGvpM9KxefqMdKnS\nZyQSjdKry6b7jHTfqM9IR1O3PiPdIg6poijliYBoRYJO6T4jnTbqM9I7dCmtTOC6Hn2KYtk+I667\n+T4jRRv1Gelc4BD1fdbFk0Qi9p0p3KjPiOOEOI5PNN1nxHUcigsj2drIokj6kORA18ICKnzb7FMY\n9elcaPuMuI5DlyLbvJ8MAmI4uBHbLBYxERJBQDI0RL0NfUZI9xkp8H1ivr+hz0hk031GolW+h51i\nTk6fkaJohFi0ehON3b/p/hnpvhmZclUtY2hsIhKN5DaR5CybThZy+npUmba5SoDGWE9zqVcyEo1G\nGTFiBDNnzuS4447LTp85cybHHHNMjcuMGTOG5557LmfaK6+8wsiRI2vsL9KUPNfhiqOGcu5D89Jn\nhhtkdsWVR+zUuFfTNGD51rjdnKtpjD1rx9HVNJl5dDWNrqZpiVfTdO8Ya7SraToW+LZpoBGvpulk\n/M1cTeNn90Pme2iMX+1qmg4FPoVRr8b9V9NvSs5vxEblq+vVNJ5rE+yaylX1cU3r2HjZzDw1TduU\nxlpPc6j31TSPP/44p556Kn/+858ZM2YMd999N/fccw8ff/wxAwcOZOrUqSxZsoQHH3wQsJf2Dhs2\njHPOOYezzz6bOXPmMHnyZB599NE6X9rb2PemaVPjjIiIiLRQTXZvmokTJ7Jy5UquvvpqSkpKGDZs\nGC+88AID07d3LykpYfHixdn5Bw8ezAsvvMBFF13EHXfcQb9+/fjjH/+YlzFGMg4b1pdDhvbRCKwi\nIiItgO7aKyIiIk2irsdvt9ZXRERERJqBkhERERHJKyUjIiIikldKRkRERCSvlIyIiIhIXikZERER\nkbxSMiIiIiJ5pWRERERE8krJiIiIiORVvYeDz4fMILFlZWV5jkRERETqKnPc3txg760iGVm7di0A\nAwYMyHMkIiIiUl9r166luLi41tdbxb1pwjDk+++/p1OnTo16u+OysjIGDBjAt99+22bvedPWy6jy\ntX5tvYxtvXzQ9suo8jWcMYa1a9fSr18/XLf2niGtombEdV369+/fZOvv3Llzm/yAVdXWy6jytX5t\nvYxtvXzQ9suo8jXMpmpEMtSBVURERPJKyYiIiIjkVbtORmKxGFdccQWxWCzfoTSZtl5Gla/1a+tl\nbOvlg7ZfRpWv6bWKDqwiIiLSdrXrmhERERHJPyUjIiIikldKRkRERCSvlIyIiIhIXrX5ZOTaa69l\n7733pqioiC5dutRpGWMMV155Jf369aOwsJD999+fjz/+OGeeeDzO+eefT48ePejQoQNHH3003333\nXROUYNNWr17NqaeeSnFxMcXFxZx66qmsWbNmk8s4jlPj3+9///vsPPvvv3+110866aQmLk11DSnf\n6aefXi320aNH58zTUvYf1L+MyWSSSy65hF122YUOHTrQr18/TjvtNL7//vuc+fK1D6dPn87gwYMp\nKChgxIgRzJo1a5Pzv/7664wYMYKCggK22WYb/vznP1eb56mnnmLo0KHEYjGGDh3KM88801Th10l9\nyvj0009zyCGH0LNnTzp37syYMWN4+eWXc+a5//77a/xOVlZWNnVRalSf8r322ms1xv7pp5/mzNeS\n9mF9ylfT74njOOy8887ZeVrS/nvjjTc46qij6NevH47j8Oyzz252mRbxHTRt3OWXX25uueUWM2XK\nFFNcXFynZa6//nrTqVMn89RTT5mPPvrITJw40fTt29eUlZVl55k8ebLZaqutzMyZM828efPMAQcc\nYHbbbTeTSqWaqCQ1O+yww8ywYcPM7NmzzezZs82wYcPMkUceucllSkpKcv7uvfde4ziO+fLLL7Pz\njBs3zpx99tk5861Zs6api1NNQ8o3adIkc9hhh+XEvnLlypx5Wsr+M6b+ZVyzZo05+OCDzeOPP24+\n/fRTM2fOHDNq1CgzYsSInPnysQ8fe+wxE4lEzD333GMWLlxoLrjgAtOhQwfzzTff1Dj/V199ZYqK\niswFF1xgFi5caO655x4TiUTMk08+mZ1n9uzZxvM8c91115lPPvnEXHfddcb3ffP22283aVlqU98y\nXnDBBeaGG24w7777rvn888/N1KlTTSQSMfPmzcvOc99995nOnTtX+27mQ33L9+qrrxrAfPbZZzmx\nV/0utaR9WN/yrVmzJqdc3377renWrZu54oorsvO0pP33wgsvmMsuu8w89dRTBjDPPPPMJudvKd/B\nNp+MZNx33311SkbCMDR9+vQx119/fXZaZWWlKS4uNn/+85+NMfbDGYlEzGOPPZadZ8mSJcZ1XfPS\nSy81euy1WbhwoQFyPhBz5swxgPn000/rvJ5jjjnGHHjggTnTxo0bZy644ILGCrVBGlq+SZMmmWOO\nOabW11vK/jOm8fbhu+++a4CcH9R87MO99trLTJ48OWfaTjvtZC699NIa5//1r39tdtppp5xp55xz\njhk9enT2+YknnmgOO+ywnHkOPfRQc9JJJzVS1PVT3zLWZOjQoeaqq67KPq/r71NzqG/5MsnI6tWr\na11nS9qHW7r/nnnmGeM4jvn666+z01rS/quqLslIS/kOtvlmmvpatGgRS5cuZfz48dlpsViMcePG\nMXv2bADmzp1LMpnMmadfv34MGzYsO09zmDNnDsXFxYwaNSo7bfTo0RQXF9c5jh9++IHnn3+eM888\ns9prDz/8MD169GDnnXfm4osvzt49ublsSflee+01evXqxQ477MDZZ5/NsmXLsq+1lP0HjbMPAUpL\nS3Ecp1pTZHPuw0Qiwdy5c3PeV4Dx48fXWpY5c+ZUm//QQw/l/fffJ5lMbnKe5t5X0LAybiwMQ9au\nXUu3bt1ypq9bt46BAwfSv39/jjzySObPn99ocdfVlpRvjz32oG/fvhx00EG8+uqrOa+1lH3YGPtv\nxowZHHzwwQwcODBnekvYfw3RUr6DreJGec1p6dKlAPTu3Ttneu/evfnmm2+y80SjUbp27Vptnszy\nzWHp0qX06tWr2vRevXrVOY4HHniATp068T//8z8500855RQGDx5Mnz59WLBgAVOnTuXDDz9k5syZ\njRJ7XTS0fBMmTOCEE05g4MCBLFq0iN/97ncceOCBzJ07l1gs1mL2HzTOPqysrOTSSy/l5JNPzrnJ\nVXPvwxUrVhAEQY3fndrKsnTp0hrnT6VSrFixgr59+9Y6T3PvK2hYGTd28803s379ek488cTstJ12\n2on777+fXXbZhbKyMm677TbGjh3Lhx9+yPbbb9+oZdiUhpSvb9++3H333YwYMYJ4PM5f//pXDjro\nIF577TX2228/oPb93Nz7cEv3X0lJCS+++CKPPPJIzvSWsv8aoqV8B1tlMnLllVdy1VVXbXKe9957\nj5EjRzZ4G47j5Dw3xlSbtrG6zFMXdS0fVI+zvnHce++9nHLKKRQUFORMP/vss7OPhw0bxvbbb8/I\nkSOZN28ew4cPr9O6a9PU5Zs4cWL28bBhwxg5ciQDBw7k+eefr5Z01We99dFc+zCZTHLSSScRhiHT\np0/Pea0p9+Gm1Pe7U9P8G09vyPexKTU0nkcffZQrr7ySv//97zlJ6OjRo3M6WY8dO5bhw4fzpz/9\niT/+8Y+NF3gd1ad8O+64IzvuuGP2+ZgxY/j222+56aabsslIfdfZ1Boay/3330+XLl049thjc6a3\ntP1XXy3hO9gqk5Ff/OIXm70qYNCgQQ1ad58+fQCbLfbt2zc7fdmyZdnMsE+fPiQSCVavXp1zdr1s\n2TL23nvvBm23qrqW7z//+Q8//PBDtdeWL19eLYutyaxZs/jss894/PHHNzvv8OHDiUQifPHFF1t8\nIGuu8mX07duXgQMH8sUXXwBNv/+gecqYTCY58cQTWbRoEf/+9783e+vvxtyHNenRowee51U7W6r6\n3dlYnz59apzf9326d+++yXnq8xloLA0pY8bjjz/OmWeeyRNPPMHBBx+8yXld12XPPffMfmaby5aU\nr6rRo0fz0EMPZZ+3lH24JeUzxnDvvfdy6qmnEo1GNzlvvvZfQ7SY72Cj9T5p4erbgfWGG27ITovH\n4zV2YH388cez83z//fd568D6zjvvZKe9/fbbde78OGnSpGpXYNTmo48+MoB5/fXXGxxvfW1p+TJW\nrFhhYrGYeeCBB4wxLWf/GdPwMiYSCXPssceanXfe2SxbtqxO22qOfbjXXnuZc889N2fakCFDNtmB\ndciQITnTJk+eXK3z3IQJE3LmOeyww/LagbU+ZTTGmEceecQUFBRstjNhRhiGZuTIkeaMM87YklAb\npCHl29iPfvQjc8ABB2Sft6R92NDyZTrqfvTRR5vdRj73X1XUsQNrS/gOtvlk5JtvvjHz5883V111\nlenYsaOZP3++mT9/vlm7dm12nh133NE8/fTT2efXX3+9KS4uNk8//bT56KOPzI9//OMaL+3t37+/\n+de//mXmzZtnDjzwwLxd2rvrrruaOXPmmDlz5phddtml2mWhG5fPGGNKS0tNUVGRufPOO6ut87//\n/a+56qqrzHvvvWcWLVpknn/+ebPTTjuZPfbYo8WXb+3ateZ///d/zezZs82iRYvMq6++asaMGWO2\n2mqrFrn/jKl/GZPJpDn66KNN//79zQcffJBzKWE8HjfG5G8fZi6bnDFjhlm4cKG58MILTYcOHbJX\nHlx66aXm1FNPzc6fuazwoosuMgsXLjQzZsyodlnhW2+9ZTzPM9dff7355JNPzPXXX98iLu2taxkf\neeQR4/u+ueOOO2q9zPrKK680L730kvnyyy/N/PnzzRlnnGF8389JUltq+f7whz+YZ555xnz++edm\nwYIF5tJLLzWAeeqpp7LztKR9WN/yZfzkJz8xo0aNqnGdLWn/rV27NnucA8wtt9xi5s+fn73SrqV+\nB9t8MjJp0iQDVPt79dVXs/MA5r777ss+D8PQXHHFFaZPnz4mFouZ/fbbr1o2XFFRYX7xi1+Ybt26\nmcLCQnPkkUeaxYsXN1OpNli5cqU55ZRTTKdOnUynTp3MKaecUu0Su43LZ4wxd911lyksLKxx3InF\nixeb/fbbz3Tr1s1Eo1Gz7bbbml/+8pfVxupoDvUtX3l5uRk/frzp2bOniUQiZuuttzaTJk2qtm9a\nyv4zpv5lXLRoUY2f6aqf63zuwzvuuMMMHDjQRKNRM3z48JyamEmTJplx48blzP/aa6+ZPfbYw0Sj\nUTNo0KAaE+QnnnjC7LjjjiYSiZiddtop50CXD/Up47hx42rcV5MmTcrOc+GFF5qtt97aRKNR07Nn\nTzN+/Hgze/bsZixRrvqU74YbbjDbbrutKSgoMF27djX77LOPef7556utsyXtw/p+RtesWWMKCwvN\n3XffXeP6WtL+y9Tg1PZ5a6nfQceYdE8VERERkTzQOCMiIiKSV0pGREREJK+UjIiIiEheKRkRERGR\nvFIyIiIiInmlZERERETySsmIiIiI5JWSEREREckrJSMiIiKSV0pGREREJK+UjIiIiEheKRkRERGR\nvPr/8vyjuMmncKcAAAAASUVORK5CYII=\n" } } ], "source": [ "plt.plot(x,y,'.',alpha=0.03)\n", "plt.plot(x[0],y[0],'o',label=r\"$(x_i,y_i)$\",color=\"C0\")\n", "plt.plot(x,v,'--r',label=r\"prob (true, unknown) = $\\frac{exp(-1+5x)}{1+exp(-1+5x)}$\")\n", "plt.legend()" ], "id": "a87bb040-73db-48a4-94a2-575197435d34" }, { "cell_type": "markdown", "metadata": {}, "source": [ "우리의 목적: $x_i$가 들어가면 빨간곡선 $\\hat{y}_i$의 값을 만들어주는\n", "mapping을 학습해보자.\n", "\n", "## C. Step1: net 설계 (모델링)\n", "\n", "`-` 최초의 곡선을 그려보자. ($net: x \\to yhat$ 을 수행하는 네트워크를\n", "설계해보자는 의미)" ], "id": "24904e97-63b2-4ebf-922c-a9ec53ab001c" }, { "cell_type": "code", "execution_count": 91, "metadata": { "tags": [] }, "outputs": [], "source": [ "w0hat = -0.8\n", "w1hat = -0.3" ], "id": "89e58e36-c6f1-40b4-8308-890756335ec4" }, { "cell_type": "code", "execution_count": 92, "metadata": { "tags": [] }, "outputs": [], "source": [ "def sigmoid(x):\n", " return torch.exp(x)/(1+torch.exp(x))" ], "id": "37bda779-8615-4484-8ed0-2cba9dd5b9b9" }, { "cell_type": "code", "execution_count": 93, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGdCAYAAADAAnMpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nERGZiskIERERmYrJCBEREZnq/wMDo18/iAj+dgAAAABJRU5ErkJggg==\n" } } ], "source": [ "plt.plot(x,y,'.',alpha=0.03)\n", "plt.plot(x[0],y[0],'o',label=r\"$(x_i,y_i)$\",color=\"C0\")\n", "plt.plot(x,v,'--r',label=r\"prob (true, unknown) = $\\frac{exp(-1+5x)}{1+exp(-1+5x)}$\")\n", "plt.plot(x,sigmoid(w0hat + w1hat*x),'--b', label=r\"prob (estimated) = $(x_i,\\hat{y}_i)$ -- first curve\")\n", "plt.legend()" ], "id": "982ecbc5-8cc3-4f63-9dec-93783df14ab2" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` `w0hat + w1hat*x` 이 부분을 `torch.nn.Linear(bias = False)`로 구현" ], "id": "806f06e8-6ec9-4a56-b2a3-3b6fe056c6b7" }, { "cell_type": "code", "execution_count": 94, "metadata": { "tags": [] }, "outputs": [], "source": [ "X = torch.concat([torch.ones(2000).reshape(-1,1),x],axis=1)\n", "l1 = torch.nn.Linear(in_features=2, out_features=1, bias = False)\n", "l1.weight" ], "id": "739d3c05-51ca-4b13-ac6c-05c05433b83f" }, { "cell_type": "code", "execution_count": 95, "metadata": { "tags": [] }, "outputs": [], "source": [ "l1.weight.data = torch.tensor([[-0.8, -0.3]])" ], "id": "9aac96b5-9cb1-4565-82e2-5f273d29f24d" }, { "cell_type": "code", "execution_count": 96, "metadata": { "tags": [] }, "outputs": [], "source": [ "l1(X), w0hat + w1hat*x # 똑같죠" ], "id": "a7bcfcbd-a9fc-4ad4-a9af-3fabf01900fa" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` `w0hat + w1hat*x` 이 부분을 `torch.nn.Linear(bias = True)`로 구현" ], "id": "6542e169-bac0-4f61-91f1-eb140e29766d" }, { "cell_type": "code", "execution_count": 97, "metadata": { "tags": [] }, "outputs": [], "source": [ "#X = torch.concat([torch.ones(2000).reshape(-1,1),x],axis=1)\n", "l1 = torch.nn.Linear(in_features=1, out_features=1)\n", "l1.weight, l1.bias" ], "id": "334b2def-8466-4ba6-965b-4a319d7b0995" }, { "cell_type": "code", "execution_count": 98, "metadata": { "tags": [] }, "outputs": [], "source": [ "l1.weight.data = torch.tensor([[-0.3]])\n", "l1.bias.data = torch.tensor([-0.8])" ], "id": "c041a7bf-bafb-4e33-9156-420095dea13e" }, { "cell_type": "code", "execution_count": 99, "metadata": { "tags": [] }, "outputs": [], "source": [ "l1(x), w0hat + w1hat*x # 이것도 똑같죠!" ], "id": "6f742d45-f90a-40ed-90ce-31b32ee08c85" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 내가만든 sigmoid 대신에 토치에서 제공하는 sigmoid 사용" ], "id": "94b05026-4116-4224-b6b8-a2f28528793f" }, { "cell_type": "code", "execution_count": 100, "metadata": { "tags": [] }, "outputs": [], "source": [ "a1 = torch.nn.Sigmoid()" ], "id": "6429f002-8815-4df5-adc2-9158c8e98fcf" }, { "cell_type": "code", "execution_count": 101, "metadata": { "tags": [] }, "outputs": [], "source": [ "sigmoid(l1(x)), a1(l1(x)) # 똑같아요" ], "id": "10d1e273-d84f-452d-b442-3985f83c04c6" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 지금까지의 구현 확인" ], "id": "587744a7-cf46-4ef1-904b-6e901dab26dd" }, { "cell_type": "code", "execution_count": 102, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGdCAYAAADAAnMpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nAAAASUVORK5CYII=\n" } } ], "source": [ "plt.plot(x,y,'.',alpha=0.03)\n", "plt.plot(x[0],y[0],'o',label=r\"$(x_i,y_i)$\",color=\"C0\")\n", "plt.plot(x,v,'--r',label=r\"prob (true, unknown) = $\\frac{exp(-1+5x)}{1+exp(-1+5x)}$\")\n", "plt.plot(x,sigmoid(w0hat + w1hat*x),'--b', label=r\"prob (estimated) = $(x_i,\\hat{y}_i)$ -- first curve\")\n", "plt.plot(x,a1(l1(x)).data,'--b', label=r\"prob (estimated) = $(x_i,\\hat{y}_i)$ -- first curve with $(a_1 \\circ l_1)(x)$\")\n", "plt.legend()" ], "id": "001583a6-a1d7-4416-a590-d77f8806eba6" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 관찰: 지금 아래의 구조이다.\n", "\n", "$${\\boldsymbol x} \\overset{l_1}{\\to} {\\boldsymbol u} \\overset{a_1}{\\to} {\\boldsymbol v} = \\hat{\\boldsymbol y}$$\n", "\n", "`-` 소망: 함수 $l_1, a_1$ 의 합성을 하나로 묶어서\n", "\n", "$$(a_1\\circ l_1)({\\boldsymbol x}) := net({\\boldsymbol x})$$\n", "\n", "이러한 기능을 하는 하나의 함수 $net$을 만들 수 없을까?" ], "id": "eabc6c81-9bf8-46ad-a216-b3e8deeef469" }, { "cell_type": "code", "execution_count": 103, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(l1,a1) #l1을 취하고 그다음에 a1을 취하라는 의미" ], "id": "2bcc0519-3663-4f41-8f14-9d777ab6e8a5" }, { "cell_type": "code", "execution_count": 104, "metadata": { "tags": [] }, "outputs": [], "source": [ "net(x), a1(l1(x)), sigmoid(w0hat+ w1hat*x)" ], "id": "72e56ba6-26e5-487c-ace5-fcd23cf7848c" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` net 살펴보기: 초보버전 – “파이토치 30일만에 완성하기” 이런책에 보면\n", "내용이 나올지도?" ], "id": "f860da86-805e-48d6-88f0-47f83d4bb6bf" }, { "cell_type": "code", "execution_count": 105, "metadata": { "tags": [] }, "outputs": [], "source": [ "net" ], "id": "c7f91583-de63-46d4-8879-1a4c0f0e2881" }, { "cell_type": "markdown", "metadata": {}, "source": [ "- 처음에는 선형변환하고, 그담에는 Sigmoid를 수행하라는 의미\n", "\n", "`-` net 살펴보기: 고수버전 – 책 안보고 코딩배우기" ], "id": "c0f42afd-359f-4326-bc1d-7a31a29cba02" }, { "cell_type": "code", "execution_count": 106, "metadata": { "tags": [] }, "outputs": [], "source": [ "set(dir(net)) & {'__call__', '__getitem__'}" ], "id": "2e506367-df56-45ec-8da0-61933e114cb3" }, { "cell_type": "markdown", "metadata": {}, "source": [ "- 좋은거 가지고 있네 ㅎㅎ\n", "- callable 이면서 subscriptable 오브젝트.." ], "id": "5be47daa-866b-45ce-b717-991c2b55d4e5" }, { "cell_type": "code", "execution_count": 107, "metadata": { "tags": [] }, "outputs": [], "source": [ "lst = [11,22,33]\n", "lst.__getitem__(-1) # lst[-1]" ], "id": "9f065569-3406-49d8-a764-41688db716b3" }, { "cell_type": "code", "execution_count": 108, "metadata": { "tags": [] }, "outputs": [], "source": [ "sigmoid.__call__(x) # sigmoid(x)" ], "id": "00b40a2a-31e3-4c39-a0e2-b1c36a9ba955" }, { "cell_type": "code", "execution_count": 109, "metadata": { "tags": [] }, "outputs": [], "source": [ "sigmoid[0] # 난 스크립터블 하지 않은걸? (= 난 리스트처럼 인덱싱 못해요)" ], "id": "9a8ffe96-a412-4b91-81de-5d0c702f1e18" }, { "cell_type": "code", "execution_count": 110, "metadata": { "tags": [] }, "outputs": [], "source": [ "lst(x)# 난 컬러블하지 않은걸? (= 난 함수처럼 입력을 받고 출력을 주는 일은 못해요)" ], "id": "be62ed78-a6c0-43f5-9cb4-ec84ce1d04e0" }, { "cell_type": "code", "execution_count": 111, "metadata": { "tags": [] }, "outputs": [], "source": [ "net(x) # 컬러블이면서" ], "id": "b3d18af1-be8c-4971-8061-1363188b3854" }, { "cell_type": "code", "execution_count": 112, "metadata": { "tags": [] }, "outputs": [], "source": [ "net[0],net[1] # 섭스크립터블" ], "id": "9d67882f-2f57-40c7-a58f-606218424299" }, { "cell_type": "code", "execution_count": 113, "metadata": { "tags": [] }, "outputs": [], "source": [ "_l1, _a1 = net # 언패킹!! (섭스크립터블하니까..)" ], "id": "0a0d1f08-3633-410f-a825-bd1778c43346" }, { "cell_type": "code", "execution_count": 114, "metadata": { "tags": [] }, "outputs": [], "source": [ "_l1.weight, _l1.bias # 내가 설정한 웨이트도 그대로 들어가있음" ], "id": "fbc82150-d447-4369-8a70-f7f111f9d870" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## D. Step 1~4" ], "id": "dc3e5ca5-3f1f-4d8c-b3a9-77d2fa41b8d2" }, { "cell_type": "code", "execution_count": 115, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(in_features=1, out_features=1),\n", " torch.nn.Sigmoid()\n", ")\n", "l1, a1 = net # 네트워크는 섭스크립터블 오브젝트이니까..\n", "l1.weight.data = torch.tensor([[-0.3]])\n", "l1.bias.data = torch.tensor([-0.8])\n", "#loss_fn = torch.nn.MSELoss() # -- 이 코드 일단 쓰지 않을게여\n", "optimizr = torch.optim.SGD(net.parameters(),lr=0.25)\n", "#---#\n", "for epoc in range(100):\n", " ## 1\n", " yhat = net(x) \n", " ## 2 \n", " loss = torch.mean((y-yhat)**2)\n", " ## 3\n", " loss.backward()\n", " ## 4 \n", " optimizr.step()\n", " optimizr.zero_grad()" ], "id": "d2e8e76e-32c9-49ba-9a6c-634007c01939" }, { "cell_type": "code", "execution_count": 116, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGxCAYAAACwbLZkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nAElFTkSuQmCC\n" } } ], "source": [ "plt.plot(x,y,'.',alpha=0.05)\n", "plt.plot(x,v,'--r')\n", "plt.plot(x,yhat.data,'--b')\n", "plt.title('after 100 epochs')" ], "id": "e9ec18cd-738f-42d1-82c2-c761448126fb" }, { "cell_type": "code", "execution_count": 117, "metadata": { "tags": [] }, "outputs": [], "source": [ "for epoc in range(4900):\n", " ## 1\n", " yhat = net(x) \n", " ## 2 \n", " loss = torch.mean((y-yhat)**2)\n", " ## 3\n", " loss.backward()\n", " ## 4 \n", " optimizr.step()\n", " optimizr.zero_grad()" ], "id": "f7ec7d42-1c1a-48f4-b025-61dced7406ea" }, { "cell_type": "code", "execution_count": 118, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGxCAYAAACwbLZkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nRkRERCSn/h8xnsnhsLKY0wAAAABJRU5ErkJggg==\n" } } ], "source": [ "plt.plot(x,y,'.',alpha=0.05)\n", "plt.plot(x,v,'--r')\n", "plt.plot(x,yhat.data,'--b')\n", "plt.title('after 5000 epochs')" ], "id": "22a631a2-144d-4623-9383-10086ec3156d" }, { "cell_type": "markdown", "metadata": {}, "source": [ "성공했나?\n", "\n", "# 5. 학습과정 시각화 및 문제인식\n", "\n", "## A. 좋은 초기값" ], "id": "8d42079b-9c31-4e7f-ad86-00dd3e2f733c" }, { "cell_type": "code", "execution_count": 119, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(1,1),\n", " torch.nn.Sigmoid()\n", ") \n", "net[0].bias.data = torch.tensor([-0.8])\n", "net[0].weight.data = torch.tensor([[-0.3]])\n", "loss_fn = torch.nn.MSELoss()\n", "optimizr = torch.optim.SGD(net.parameters(),lr=0.25) \n", "#---#\n", "show_animation(net,loss_fn,optimizr)" ], "id": "9f5c55f6-9459-4f4a-ba09-dc144400887e" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## B. 가능성 있는 초기값" ], "id": "df8b4d38-392f-42a0-aa5d-b7b9fd6af1e1" }, { "cell_type": "code", "execution_count": 120, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(1,1),\n", " torch.nn.Sigmoid()\n", ") \n", "net[0].bias.data = torch.tensor([-3.0])\n", "net[0].weight.data = torch.tensor([[-1.0]])\n", "loss_fn = torch.nn.MSELoss()\n", "optimizr = torch.optim.SGD(net.parameters(),lr=0.25) \n", "#---#\n", "show_animation(net,loss_fn,optimizr)" ], "id": "ad6d4f02-9a73-4c9e-9ed9-fe090b65002e" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## C. 최악의 초기값" ], "id": "62521209-340e-488a-8c3a-68a2ea4d1bfd" }, { "cell_type": "code", "execution_count": 121, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(1,1),\n", " torch.nn.Sigmoid()\n", ") \n", "net[0].bias.data = torch.tensor([-10.0])\n", "net[0].weight.data = torch.tensor([[-1.0]])\n", "loss_fn = torch.nn.MSELoss()\n", "optimizr = torch.optim.SGD(net.parameters(),lr=0.25) \n", "#---#\n", "show_animation(net,loss_fn,optimizr)" ], "id": "f5a4c4e0-0f28-419e-adb8-f408ca957622" }, { "cell_type": "markdown", "metadata": {}, "source": [ "해결하는 접근법:\n", "\n", "- 컴공스타일: 에폭을 늘려볼까?\n", "- 산공스타일: 옵티마이저를 바꿔볼까?\n", "- 통계스타일: Loss를 바꿔볼까?\n", "\n", "# 6. 손실함수의 개선\n", "\n", "## A. BCE Loss를 사용하여 학습\n", "\n", "`-` BCE loss라는게 있음.\n", "\n", "- " ], "id": "4acc20c3-7a03-4f18-a821-b406d023153e" }, { "cell_type": "code", "execution_count": 122, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(in_features=1, out_features=1),\n", " torch.nn.Sigmoid()\n", ")\n", "l1, a1 = net # 네트워크는 섭스크립터블 오브젝트이니까..\n", "l1.weight.data = torch.tensor([[-0.3]])\n", "l1.bias.data = torch.tensor([-0.8])\n", "optimizr = torch.optim.SGD(net.parameters(),lr=0.25)\n", "#---#\n", "for epoc in range(100):\n", " ## 1\n", " yhat = net(x) \n", " ## 2 \n", " #loss = torch.mean((y-yhat)**2)\n", " loss = -torch.mean(y*torch.log(yhat) + (1-y)*torch.log(1-yhat))\n", " ## 3\n", " loss.backward()\n", " ## 4 \n", " optimizr.step()\n", " optimizr.zero_grad()" ], "id": "a620c159-09e1-431f-b4a6-ed96b1860ea0" }, { "cell_type": "code", "execution_count": 123, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGxCAYAAACwbLZkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nAABJRU5ErkJggg==\n" } } ], "source": [ "plt.plot(x,y,'.',alpha=0.05)\n", "plt.plot(x,v,'--r')\n", "plt.plot(x,yhat.data,'--b')\n", "plt.title('after 100 epochs')" ], "id": "7f439ac0-86df-44a2-a78b-9b7a2f5caf2f" }, { "cell_type": "markdown", "metadata": {}, "source": [ "같은 100 에폭인데 훨씬 잘맞춤..\n", "\n", "`-` loss수식을 못외우겠다면?" ], "id": "3237d785-9d01-4023-8c3e-d83c969e4a28" }, { "cell_type": "code", "execution_count": 124, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(in_features=1, out_features=1),\n", " torch.nn.Sigmoid()\n", ")\n", "l1, a1 = net # 네트워크는 섭스크립터블 오브젝트이니까..\n", "l1.weight.data = torch.tensor([[-0.3]])\n", "l1.bias.data = torch.tensor([-0.8])\n", "loss_fn = torch.nn.BCELoss()\n", "optimizr = torch.optim.SGD(net.parameters(),lr=0.25)\n", "#---#\n", "for epoc in range(100):\n", " ## 1\n", " yhat = net(x) \n", " ## 2 \n", " loss = loss_fn(yhat,y) # yhat부터 써야함\n", " ## 3\n", " loss.backward()\n", " ## 4 \n", " optimizr.step()\n", " optimizr.zero_grad()" ], "id": "279bd1af-461c-46d8-bc63-b1d257cad0c6" }, { "cell_type": "code", "execution_count": 125, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGxCAYAAACwbLZkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nAABJRU5ErkJggg==\n" } } ], "source": [ "plt.plot(x,y,'.',alpha=0.05)\n", "plt.plot(x,v,'--r')\n", "plt.plot(x,yhat.data,'--b')\n", "plt.title('after 100 epochs')" ], "id": "ee2bd53c-e0c9-4977-a64d-e2fd7db70ff1" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## B. Loss Function 시각화" ], "id": "b4174620-68b4-449d-8137-8d5f9b6a3800" }, { "cell_type": "code", "execution_count": 126, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAGFCAYAAAASI+9IAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n" } } ], "source": [ "plot_loss(torch.nn.MSELoss())" ], "id": "5d22df8b-fab6-4506-beaa-39166a14b04d" }, { "cell_type": "code", "execution_count": 127, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAGFCAYAAAASI+9IAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nAElFTkSuQmCC\n" } } ], "source": [ "plot_loss(torch.nn.BCELoss())" ], "id": "d883c514-ee89-4237-b94c-45179c5b05ad" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 비교해보자." ], "id": "96563310-f28a-4898-a30e-7b856983af2d" }, { "cell_type": "code", "execution_count": 128, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgcAAAD1CAYAAADEZFYAAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nAAAAAElFTkSuQmCC\n" } } ], "source": [ "fig = plt.figure()\n", "ax1 = fig.add_subplot(1,2,1,projection='3d')\n", "ax2 = fig.add_subplot(1,2,2,projection='3d')\n", "plot_loss(torch.nn.MSELoss(),ax1)\n", "plot_loss(torch.nn.BCELoss(),ax2)" ], "id": "56da4625-66c2-4b3b-af7f-6d3e22b0ce9a" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## C. 학습과정 시각화 – 좋은 초기값\n", "\n", "`-` MSELoss" ], "id": "a930b941-6508-4693-b932-f3367cbb4394" }, { "cell_type": "code", "execution_count": 129, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(1,1),\n", " torch.nn.Sigmoid()\n", ") \n", "net[0].bias.data = torch.tensor([-0.8])\n", "net[0].weight.data = torch.tensor([[-0.3]])\n", "loss_fn = torch.nn.MSELoss()\n", "optimizr = torch.optim.SGD(net.parameters(),lr=0.25) \n", "#---#\n", "show_animation(net,loss_fn,optimizr)" ], "id": "95fc6161-5ba9-4f25-b676-8e7278daea30" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` BCELoss" ], "id": "561196a4-4ddb-40a3-86c9-353e7c4c90d2" }, { "cell_type": "code", "execution_count": 130, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(1,1),\n", " torch.nn.Sigmoid()\n", ") \n", "net[0].bias.data = torch.tensor([-0.8])\n", "net[0].weight.data = torch.tensor([[-0.3]])\n", "loss_fn = torch.nn.BCELoss()\n", "optimizr = torch.optim.SGD(net.parameters(),lr=0.25) \n", "#---#\n", "show_animation(net,loss_fn,optimizr)" ], "id": "f827df4a-fdaf-49f3-80a6-093da7345bb9" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## D. 학습과정 시각화 – 가능성 있는 초기값\n", "\n", "`-` MSELoss" ], "id": "629f3657-cd75-47cc-b4cd-405aeb139703" }, { "cell_type": "code", "execution_count": 131, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(1,1),\n", " torch.nn.Sigmoid()\n", ") \n", "net[0].bias.data = torch.tensor([-3.0])\n", "net[0].weight.data = torch.tensor([[-1.0]])\n", "loss_fn = torch.nn.MSELoss()\n", "optimizr = torch.optim.SGD(net.parameters(),lr=0.25) \n", "#---#\n", "show_animation(net,loss_fn,optimizr)" ], "id": "a74cc156-a881-49ea-a1d4-b49c44c66590" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` BCELoss" ], "id": "83807ef7-1d11-4e55-8908-a3e5129c0357" }, { "cell_type": "code", "execution_count": 132, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(1,1),\n", " torch.nn.Sigmoid()\n", ") \n", "net[0].bias.data = torch.tensor([-3.0])\n", "net[0].weight.data = torch.tensor([[-1.0]])\n", "loss_fn = torch.nn.BCELoss()\n", "optimizr = torch.optim.SGD(net.parameters(),lr=0.25) \n", "#---#\n", "show_animation(net,loss_fn,optimizr)" ], "id": "58546d08-a575-4106-aced-683158df1fc9" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## E. 학습과정 시각화 – 최악의 초기값\n", "\n", "`-` MSELoss" ], "id": "8cab89c8-b0a7-40b0-92b8-c512433f15aa" }, { "cell_type": "code", "execution_count": 133, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(1,1),\n", " torch.nn.Sigmoid()\n", ") \n", "net[0].bias.data = torch.tensor([-10.0])\n", "net[0].weight.data = torch.tensor([[-1.0]])\n", "loss_fn = torch.nn.MSELoss()\n", "optimizr = torch.optim.SGD(net.parameters(),lr=0.25) \n", "#---#\n", "show_animation(net,loss_fn,optimizr)" ], "id": "9900bfea-7cc5-45be-aa02-3392e2382a04" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` BCELoss" ], "id": "dd00bdbb-fac4-48b1-aeb2-600f4826d59f" }, { "cell_type": "code", "execution_count": 134, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(1,1),\n", " torch.nn.Sigmoid()\n", ") \n", "net[0].bias.data = torch.tensor([-10.0])\n", "net[0].weight.data = torch.tensor([[-1.0]])\n", "loss_fn = torch.nn.BCELoss()\n", "optimizr = torch.optim.SGD(net.parameters(),lr=0.25) \n", "#---#\n", "show_animation(net,loss_fn,optimizr)" ], "id": "67c29652-7532-4f56-a0d3-36e1b561eaaf" }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 7. 옵티마이저의 개선\n", "\n", "## C. 학습과정 시각화 – 좋은 초기값\n", "\n", "`-` MSELoss + SGD" ], "id": "3622416a-6643-4b00-9f84-14e60d4c24f8" }, { "cell_type": "code", "execution_count": 135, "metadata": { "tags": [] }, "outputs": [], "source": [ "# net = torch.nn.Sequential(\n", "# torch.nn.Linear(1,1),\n", "# torch.nn.Sigmoid()\n", "# ) \n", "# net[0].bias.data = torch.tensor([-0.8470])\n", "# net[0].weight.data = torch.tensor([[-0.3467]])\n", "# loss_fn = torch.nn.MSELoss()\n", "# optimizr = torch.optim.SGD(net.parameters(),lr=0.25) \n", "# #---#\n", "# show_animation(net,loss_fn,optimizr)" ], "id": "20aa08fc-69a3-4058-a19b-5ee7fbc689f8" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` MSELoss + Adam" ], "id": "b96475d2-2568-408e-bfbf-fd882a7a08ab" }, { "cell_type": "code", "execution_count": 136, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(1,1),\n", " torch.nn.Sigmoid()\n", ") \n", "net[0].bias.data = torch.tensor([-0.8])\n", "net[0].weight.data = torch.tensor([[-0.3]])\n", "loss_fn = torch.nn.MSELoss()\n", "optimizr = torch.optim.Adam(net.parameters(),lr=0.25) \n", "#---#\n", "show_animation(net,loss_fn,optimizr)" ], "id": "c4c5b765-58f4-4759-bd23-78979b40a1bb" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## D. 학습과정 시각화 – 가능성 있는 초기값\n", "\n", "`-` MSELoss + SGD" ], "id": "9496e14a-557e-4e6a-bbe3-5b59092b74c6" }, { "cell_type": "code", "execution_count": 137, "metadata": { "tags": [] }, "outputs": [], "source": [ "# net = torch.nn.Sequential(\n", "# torch.nn.Linear(1,1),\n", "# torch.nn.Sigmoid()\n", "# ) \n", "# net[0].bias.data = torch.tensor([-3.0])\n", "# net[0].weight.data = torch.tensor([[-1.0]])\n", "# loss_fn = torch.nn.MSELoss()\n", "# optimizr = torch.optim.SGD(net.parameters(),lr=0.25) \n", "# #---#\n", "# show_animation(net,loss_fn,optimizr)" ], "id": "cb750d42-6dba-45d0-bd99-f03663243d16" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` MSELoss + Adam" ], "id": "9b278814-b66a-4285-bb0f-6632a7ae2825" }, { "cell_type": "code", "execution_count": 138, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(1,1),\n", " torch.nn.Sigmoid()\n", ") \n", "net[0].bias.data = torch.tensor([-3.0])\n", "net[0].weight.data = torch.tensor([[-1.0]])\n", "loss_fn = torch.nn.MSELoss()\n", "optimizr = torch.optim.Adam(net.parameters(),lr=0.25) \n", "#---#\n", "show_animation(net,loss_fn,optimizr)" ], "id": "d6198b58-c4df-4d3e-8308-96d89504d141" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## E. 학습과정 시각화 – 최악의 초기값\n", "\n", "`-` MSELoss + SGD" ], "id": "85d66ba9-ad64-4de9-8b3b-6d6c9ab7ed14" }, { "cell_type": "code", "execution_count": 139, "metadata": { "tags": [] }, "outputs": [], "source": [ "# net = torch.nn.Sequential(\n", "# torch.nn.Linear(1,1),\n", "# torch.nn.Sigmoid()\n", "# ) \n", "# net[0].bias.data = torch.tensor([-10.0])\n", "# net[0].weight.data = torch.tensor([[-1.0]])\n", "# loss_fn = torch.nn.MSELoss()\n", "# optimizr = torch.optim.SGD(net.parameters(),lr=0.05) \n", "# #---#\n", "# show_animation(net,loss_fn,optimizr)" ], "id": "57aee815-bde2-4cae-8819-86a2acc332ca" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` MSELoss + Adam" ], "id": "ca23e752-97e3-4213-80d3-1118989c08f7" }, { "cell_type": "code", "execution_count": 140, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(1,1),\n", " torch.nn.Sigmoid()\n", ") \n", "net[0].bias.data = torch.tensor([-10.0])\n", "net[0].weight.data = torch.tensor([[-1.0]])\n", "loss_fn = torch.nn.MSELoss()\n", "optimizr = torch.optim.Adam(net.parameters(),lr=0.25) \n", "#---#\n", "show_animation(net,loss_fn,optimizr)" ], "id": "1bcdf8db-9ba1-479a-8b17-a3c5f6f1b4d6" }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 8. 로지스틱의 한계\n", "\n", "## A. 신문기사 (데이터의 모티브)\n", "\n", "`-` [스펙이 높아도 취업이 안된다고\n", "합니다..](https://www.joongang.co.kr/article/23637092#home)\n", "\n", "**중소·지방 기업 “뽑아봤자 그만두니까”**\n", "\n", "중소기업 관계자들은 고스펙 지원자를 꺼리는 이유로 높은 퇴직률을 꼽는다.\n", "여건이 좋은 대기업으로 이직하거나 회사를 관두는 경우가 많다는\n", "하소연이다. 고용정보원이 지난 3일 공개한 자료에 따르면 중소기업\n", "청년취업자 가운데 49.5%가 2년 내에 회사를 그만두는 것으로 나타났다.\n", "\n", "중소 IT업체 관계자는 “기업 입장에서 가장 뼈아픈 게 신입사원이 그만둬서\n", "새로 뽑는 일”이라며 “명문대 나온 스펙 좋은 지원자를 뽑아놔도 1년을\n", "채우지 않고 그만두는 사원이 대부분이라 우리도 눈을 낮춰 사람을 뽑는다”고\n", "말했다.\n", "\n", "## B. 가짜데이터" ], "id": "154517f9-5639-4143-97c2-20d6ccb96817" }, { "cell_type": "code", "execution_count": 141, "metadata": { "tags": [] }, "outputs": [], "source": [ "df = pd.read_csv(\"https://raw.githubusercontent.com/guebin/DL2024/main/posts/dnnex.csv\")\n", "df" ], "id": "d4eaf4de-0c28-4a57-8ae3-7c94c432f984" }, { "cell_type": "code", "execution_count": 142, "metadata": { "tags": [] }, "outputs": [], "source": [ "x = torch.tensor(df.x).float().reshape(-1,1)\n", "y = torch.tensor(df.y).float().reshape(-1,1)\n", "prob = torch.tensor(df.prob).float().reshape(-1,1)" ], "id": "d198e4b3-38e3-4fb1-9418-50eccffa9bf2" }, { "cell_type": "code", "execution_count": 143, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGdCAYAAADAAnMpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nAElFTkSuQmCC\n" } } ], "source": [ "plt.plot(x,y,'o',alpha=0.02)\n", "plt.plot(x[0],y[0],'o',label= r\"observed data = $(x_i,y_i)$\",color=\"C0\")\n", "plt.plot(x,prob,'--b',label= r\"prob (true, unknown)\")\n", "plt.legend()" ], "id": "b99b4325-142d-47f0-a869-51d1f3a6c31f" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## C. 로지스틱으로 적합" ], "id": "1a6a35e2-3dfb-42b2-bf06-f332cf3f85b8" }, { "cell_type": "code", "execution_count": 144, "metadata": { "tags": [] }, "outputs": [], "source": [ "net = torch.nn.Sequential(\n", " torch.nn.Linear(1,1),\n", " torch.nn.Sigmoid()\n", ")\n", "loss_fn = torch.nn.BCELoss()\n", "optimizr = torch.optim.Adam(net.parameters())\n", "#---# \n", "for epoc in range(5000):\n", " ## 1 \n", " yhat = net(x)\n", " ## 2 \n", " loss = loss_fn(yhat,y)\n", " ## 3 \n", " loss.backward()\n", " ## 4 \n", " optimizr.step()\n", " optimizr.zero_grad()" ], "id": "5eeb39d1-5091-4711-a3be-ec2613f67dae" }, { "cell_type": "code", "execution_count": 145, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGdCAYAAADAAnMpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n" } } ], "source": [ "plt.plot(x,y,'o',alpha=0.02)\n", "plt.plot(x[0],y[0],'o',label= r\"observed data = $(x_i,y_i)$\",color=\"C0\")\n", "plt.plot(x,prob,'--b',label= r\"prob (true, unknown)\")\n", "plt.plot(x,net(x).data, '--', label= r\"prob (estimated) = $(x_i,\\hat{y}_i)$\")\n", "plt.legend()" ], "id": "61909439-8c96-4bea-955c-5fe9b631dd07" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` Epoch을 10억번으로 설정해도 이건 못 맞출것 같음.\n", "\n", "- 결국 올라가다가 내려가는 언더라잉을 맞춰야 하는데 현재 모형으로는\n", " 이걸 표현할 수 없다.\n", "- 모형의 표현력이 낮다.\n", "\n", "## D. 해결책 (아이디어 수준만)\n", "\n", "`-` sigmoid를 넣기 전의 상태가 직선이 아니라 꺽이는 직선이야 한다." ], "id": "30d2d9fe-2e24-4ce5-9187-42b2698f3202" }, { "cell_type": "code", "execution_count": 146, "metadata": { "tags": [] }, "outputs": [], "source": [ "a = torch.nn.Sigmoid()" ], "id": "a82aa496-1f36-4c5b-a033-b89bac73e6fa" }, { "cell_type": "code", "execution_count": 147, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAp4AAAKTCAYAAACw6AhNAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nEEKITvw/s+9Km9noDdsAAAAASUVORK5CYII=\n" } } ], "source": [ "fig,ax = plt.subplots(4,2,figsize=(8,8))\n", "u1 = torch.tensor([-6,-4,-2,0,2,4,6])\n", "u2 = torch.tensor([6,4,2,0,-2,-4,-6])\n", "u3 = torch.tensor([-6,-2,2,6,2,-2,-6])\n", "u4 = torch.tensor([-6,-2,2,6,4,2,0])\n", "ax[0,0].plot(u1,'--o',color='C0',label = r\"$u_1$\")\n", "ax[0,0].legend()\n", "ax[0,1].plot(a(u1),'--o',color='C0',label = r\"$a(u_1)=\\frac{exp(u_1)}{exp(u_1)+1}$\")\n", "ax[0,1].legend()\n", "ax[1,0].plot(u2,'--o',color='C1',label = r\"$u_2$\")\n", "ax[1,0].legend()\n", "ax[1,1].plot(a(u2),'--o',color='C1',label = r\"$a(u_2)=\\frac{exp(u_2)}{exp(u_2)+1}$\")\n", "ax[1,1].legend()\n", "ax[2,0].plot(u3,'--o',color='C2', label = r\"$u_3$\")\n", "ax[2,0].legend()\n", "ax[2,1].plot(a(u3),'--o',color='C2', label = r\"$a(u_3)=\\frac{exp(u_3)}{exp(u_3)+1}$\")\n", "ax[2,1].legend()\n", "ax[3,0].plot(u4,'--o',color='C3', label = r\"$u_4$\")\n", "ax[3,0].legend()\n", "ax[3,1].plot(a(u4),'--o',color='C3', label = r\"$a(u_4)=\\frac{exp(u_4)}{exp(u_4)+1}$\")\n", "ax[3,1].legend()" ], "id": "7781e8ad-028e-42da-8287-9bee666f3f9d" }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 9. HW\n", "\n", "강의노트의 로직스틱 예제 `ToyData2` 에 소개된 데이터를 불러오고, 다양한\n", "초기값에서 BCE loss 와 Adma을 이용하여 학습한뒤 시각화하라." ], "id": "37e796e3-bdf3-42e4-b9b1-4bf29785700e" } ], "nbformat": 4, "nbformat_minor": 5, "metadata": { "kernelspec": { "name": "python3", "display_name": "Python 3 (ipykernel)", "language": "python" }, "language_info": { "name": "python", "codemirror_mode": { "name": "ipython", "version": "3" }, "file_extension": ".py", "mimetype": "text/x-python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.8" } } }