{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 04wk-2: 깊은 신경망 (3) – 오버피팅, 드랍아웃, 신경망의 표현\n",
"\n",
"최규빈 \n",
"2024-03-27\n",
"\n",
"
\n",
"\n",
"# 1. 강의영상\n",
"\n",
"\n",
"\n",
"# 2. Imports"
],
"id": "017b4757-356b-4756-aed6-e80c4414efe6"
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import torch\n",
"import matplotlib.pyplot as plt"
],
"id": "c07ec9ed-a822-4953-9c16-3ce8db61f117"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3. 오버피팅 (시벤코정리의 이면)\n",
"\n",
"## A. 오버피팅\n",
"\n",
"`-` 오버피팅이란?\n",
"\n",
"- 위키: In mathematical modeling, overfitting is “the production of an\n",
" analysis that corresponds too closely or exactly to a particular set\n",
" of data, and may therefore fail to fit to additional data or predict\n",
" future observations reliably”.\n",
"- 제 개념: 데이터를 “데이터 = 언더라잉 + 오차”라고 생각할때 우리가\n",
" 데이터로부터 적합할 것은 언더라잉인데 오차항을 적합하고 있는 현상.\n",
"\n",
"## B. 오버피팅 예시\n",
"\n",
"`-` $m$이 매우 클때 아래의 네트워크 거의 무엇이든 맞출 수 있다고 보면\n",
"된다.\n",
"\n",
"- $\\underset{(n,1)}{\\bf X} \\overset{l_1}{\\to} \\underset{(n,m)}{\\boldsymbol u^{(1)}} \\overset{h}{\\to} \\underset{(n,m)}{\\boldsymbol v^{(1)}} \\overset{l_2}{\\to} \\underset{(n,1)}{\\hat{\\boldsymbol y}}$\n",
"- $\\underset{(n,1)}{\\bf X} \\overset{l_1}{\\to} \\underset{(n,m)}{\\boldsymbol u^{(1)}} \\overset{sig}{\\to} \\underset{(n,m)}{\\boldsymbol v^{(1)}} \\overset{l_2}{\\to} \\underset{(n,1)}{\\hat{\\boldsymbol y}}$\n",
"- $\\underset{(n,1)}{\\bf X} \\overset{l_1}{\\to} \\underset{(n,m)}{\\boldsymbol u^{(1)}} \\overset{relu}{\\to} \\underset{(n,m)}{\\boldsymbol v^{(1)}} \\overset{l_2}{\\to} \\underset{(n,1)}{\\hat{\\boldsymbol y}}$\n",
"\n",
"`-` 그런데 종종 맞추지 말아야 할 것들도 맞춘다.\n",
"\n",
"model: $y_i = (0\\times x_i) + \\epsilon_i$, where\n",
"$\\epsilon_i \\sim N(0,0.01^2)$"
],
"id": "38097e9f-7919-48b0-8d87-c44b1ed6c8a5"
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAGgCAYAAACnqB1FAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nCIIgCIJoOP5/9Oda8spVvqIAAAAASUVORK5CYII=\n"
}
}
],
"source": [
"torch.manual_seed(5) \n",
"x = torch.linspace(0,1,100).reshape(100,1)\n",
"y = torch.randn(100).reshape(100,1)*0.01\n",
"plt.plot(x,y,'--o',alpha=0.5)"
],
"id": "95a1c122-c384-40b0-a18e-301935166d74"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- y는 그냥 정규분포에서 생성한 오차이므로 $X \\to y$ 로 향하는\n",
" 규칙따위는 없음"
],
"id": "b5766580-670c-48cc-9ac6-f351aba7f013"
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"torch.manual_seed(1) \n",
"net=torch.nn.Sequential(\n",
" torch.nn.Linear(in_features=1,out_features=512), \n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(in_features=512,out_features=1)) \n",
"optimizr= torch.optim.Adam(net.parameters())\n",
"loss_fn= torch.nn.MSELoss()\n",
"\n",
"for epoc in range(1000): \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",
" net.zero_grad() "
],
"id": "f8e2d989-4087-49a4-bb4b-ef173f8ecd19"
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAGgCAYAAACnqB1FAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n"
}
}
],
"source": [
"plt.plot(x,y,'--o',alpha=0.5)\n",
"plt.plot(x,net(x).data,'--')"
],
"id": "1f9d8d96-aba2-49d1-a879-600b7c17700f"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 우리는 데이터를 랜덤에서 뽑았는데, 데이터의 추세를 따라간다 $\\to$\n",
" 오버피팅 (underlying이 아니라 오차항을 따라가고 있음)\n",
"\n",
"## C. 오버피팅이라는 뚜렷한 증거! (train / test)\n",
"\n",
"`-` 데이터의 분리하여 보자."
],
"id": "506c045d-4963-4164-b259-9ec1c3af7f16"
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAGgCAYAAACnqB1FAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nbfAAAAAASUVORK5CYII=\n"
}
}
],
"source": [
"torch.manual_seed(5) \n",
"x_all = torch.linspace(0,1,100).reshape(100,1)\n",
"y_all = torch.randn(100).reshape(100,1)*0.01\n",
"x = x_all[:80] \n",
"y = y_all[:80]\n",
"xx = x_all[80:]\n",
"yy = y_all[80:]\n",
"plt.plot(x,y,'--o',label=\"training (open)\",alpha=0.7)\n",
"plt.plot(xx,yy,'--o',label=\"test (hidden)\",alpha=0.3)\n",
"plt.legend()"
],
"id": "af8dbcdf-332c-427a-8a2c-483ac15f3f52"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` train만 학습"
],
"id": "e2c1819b-cfda-45d1-83d8-21cf9e91d1f1"
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"torch.manual_seed(1) \n",
"net=torch.nn.Sequential(\n",
" torch.nn.Linear(in_features=1,out_features=512), \n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(in_features=512,out_features=1)) \n",
"optimizr= torch.optim.Adam(net.parameters())\n",
"loss_fn= torch.nn.MSELoss()\n",
"\n",
"for epoc in range(1000): \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": "ecc72fa1-f495-4dd5-8f2e-7b408801ec2b"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` training data로 학습한 net를 training data 에 적용"
],
"id": "f36765e7-71f4-43d4-91bb-3bb3a8090ac3"
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAGgCAYAAACnqB1FAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n"
}
}
],
"source": [
"plt.plot(x,y,'--o',label=\"training data (open)\",alpha=0.3)\n",
"plt.plot(xx,yy,'--o',label=\"test data (hidden)\",alpha=0.3)\n",
"plt.plot(x,net(x).data,label=\"fitted values, predicted values\",color=\"C0\")\n",
"plt.legend()"
],
"id": "eb12c9b8-03a8-42fd-9701-83af71e362f7"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- train에서는 잘 맞추는듯이 보인다.\n",
"\n",
"`-` training data로 학습한 net를 test data 에 적용"
],
"id": "8dccb3f7-a26c-431c-8e04-fa67ac8a5dce"
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAGdCAYAAAAfTAk2AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nQmCC\n"
}
}
],
"source": [
"plt.plot(x,y,'--o',label=\"training data (open)\",alpha=0.3)\n",
"plt.plot(xx,yy,'--o',label=\"test data (hidden)\",alpha=0.3)\n",
"plt.plot(x,net(x).data,label=\"fitted values, predicted values\",color=\"C0\")\n",
"plt.plot(xx,net(xx).data,label=\"predicted values, predicted values with new data\",color=\"C1\")\n",
"plt.legend()"
],
"id": "eff22a89-e680-4d75-a306-f1b7b8687f77"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- train은 그럭저럭 따라가지만 test에서는 엉망이다. $\\to$ overfit\n",
"\n",
"## D. 시벤코정리의 올바른 이해\n",
"\n",
"> **시벤코정리의 항변(?) (Cybenko 1989)**\n",
">\n",
"> 하나의 은닉층을 가지는 아래와 같은 꼴의 네트워크\n",
"> $net: {\\bf X}_{n \\times p} \\to {\\bf y}_{n\\times q}$는\n",
">\n",
"> ``` python\n",
"> net = torch.nn.Sequential(\n",
"> torch.nn.Linear(p,???),\n",
"> torch.nn.Sigmoid(), ## <-- 여기에 렐루를 써도 된다. \n",
"> torch.nn.Linear(???,q)\n",
"> )\n",
"> ```\n",
">\n",
"> 모든 continuous mapping\n",
">\n",
"> $$f: {\\bf X}_{n \\times p} \\to {\\bf y}_{n\\times q}$$\n",
">\n",
"> 를 원하는 정확도로 “근사”시킬 수 있다 (즉 마음만 먹으면 loss를 0에\n",
"> 가깝도록 만들 수 있다는 의다) 쉽게 말하면 ${\\bf X} \\to {\\bf y}$ 인\n",
"> 어떠한 복잡한 규칙라도 하나의 은닉층을 가진 심층신경망(DNN)이 원하는\n",
"> 정확도로 근사시킨다는 의미이다. **그렇지만 이러한 규칙이 네크워크가\n",
"> 학습하지 못했던 자료 (처음 보는 자료, unseen data)**\n",
"> ${\\bf XX}_{m \\times p}$, ${\\bf yy}_{m \\times p}$ **에 대하여서도\n",
"> 올바르게 적용된다라는 보장은 없다**. 즉\n",
">\n",
"> $${\\bf X}_{n \\times p} \\to {\\bf y}_{n\\times q}$$\n",
">\n",
"> 를 원하는 정확도로 근사시킨 네트워크라고 할지라도\n",
">\n",
"> $${\\bf XX}_{m \\times p} \\to {\\bf yy}_{m\\times q}$$\n",
">\n",
"> 는 엉터리로 나올 수 있다. 시벤코는 넓은 신경망이 가지는 표현력의\n",
"> 한계를 수학적으로 밝혔을 뿐이다. 넓은 신경망이 우수한 신경망[1]이라는\n",
"> 주장을 한적은 없다.\n",
"\n",
"# 4. 드랍아웃\n",
"\n",
"## A. 오버피팅의 해결\n",
"\n",
"`-` 오버피팅의 해결책: 드랍아웃\n",
"\n",
"`-` 데이터 – 재활용\n",
"\n",
"[1] 여기에서 우수하다는 말은 여러의미가 있어요, 오버피팅이 없는\n",
"신경망이라든가, 경제적인 신경망이라든가.."
],
"id": "5c99cc0b-5289-4d15-b487-bc007dd60362"
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAGgCAYAAACnqB1FAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nbfAAAAAASUVORK5CYII=\n"
}
}
],
"source": [
"torch.manual_seed(5) \n",
"x_all = torch.linspace(0,1,100).reshape(100,1)\n",
"y_all = torch.randn(100).reshape(100,1)*0.01\n",
"x = x_all[:80] \n",
"y = y_all[:80]\n",
"xx = x_all[80:]\n",
"yy = y_all[80:]\n",
"plt.plot(x,y,'--o',label=\"training (open)\",alpha=0.7)\n",
"plt.plot(xx,yy,'--o',label=\"test (hidden)\",alpha=0.3)\n",
"plt.legend()"
],
"id": "bc3b90fa-6cac-4b63-adbd-4d177f07890a"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` 학습"
],
"id": "8251aeca-3089-4885-b22d-acd287fab5a8"
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"torch.manual_seed(1) \n",
"net = torch.nn.Sequential(\n",
" torch.nn.Linear(in_features=1,out_features=512),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Dropout(0.8),\n",
" torch.nn.Linear(in_features=512,out_features=1)\n",
")\n",
"loss_fn = torch.nn.MSELoss()\n",
"optimizr = torch.optim.Adam(net.parameters())\n",
"\n",
"for epoc in range(1000):\n",
" ## 1 \n",
" yhat = net(x)\n",
" ## 2 \n",
" loss = loss_fn(net(x),y) \n",
" ## 3 \n",
" loss.backward() \n",
" ## 4 \n",
" optimizr.step()\n",
" optimizr.zero_grad()"
],
"id": "3ca250a4-c15a-43ac-b35f-e21848c9d30f"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` 결과시각화 (잘못된 사용)"
],
"id": "3dc8cd46-1902-4c03-9ca7-200571b2f46a"
},
{
"cell_type": "code",
"execution_count": 127,
"metadata": {
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAG1CAYAAAD0s45tAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nCCGEEBJ2/h9oZmHYJ2/rigAAAABJRU5ErkJggg==\n"
}
}
],
"source": [
"plt.plot(x,y,'o')\n",
"plt.plot(xx,yy,'o')\n",
"plt.plot(x,net(x).data,'--',color='C0') \n",
"plt.title(f\"net.training = {net.training}\",fontsize=15)"
],
"id": "67b010ea-be22-45e8-81fe-b4f5b7329241"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- `net`에 드랍아웃이 포함되어 있다면, `net.training == True` 일때\n",
" 결과가 엉망으로 나옴.\n",
"- 왜??\n",
"\n",
"`-` 결과시각화 (올바른 사용)"
],
"id": "1a2de972-44b1-41f6-b0fd-a4a471b73673"
},
{
"cell_type": "code",
"execution_count": 128,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"net.training"
],
"id": "cea284a7-700e-4200-af30-7c9aa63d9924"
},
{
"cell_type": "code",
"execution_count": 129,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"net.eval()\n",
"net.training"
],
"id": "a6ae3d1b-fa01-43ef-96d5-dc173286d723"
},
{
"cell_type": "code",
"execution_count": 130,
"metadata": {
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAG1CAYAAAD0s45tAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\nbGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9h\nAAAPYQGoP6dpAABbzklEQVR4nO3deXhTVfoH8G/SJV1oQmmhC1tbZKvI1g5YVnWg1A1xQBEGRMdB\n0XEUcAFG/QHqiHUbdRRRRB1FERURUKxUESxSQFaBArKUrbSUFmhKS7fk/v4ICaRN2iTNTe7y/TxP\nH+jNzc3JbZL75pz3vEcjCIIAIiIiIgXR+rsBRERERN7GAIeIiIgUhwEOERERKQ4DHCIiIlIcBjhE\nRESkOAxwiIiISHEY4BAREZHiMMAhIiIixWGAQ0RERIrDAIeIRJOQkACNRiO5Y8mNRqNp9Oe6667z\n6LhHjx5t1v2JpCzQ3w0gItesW7cO119/PSZNmoSPPvrIrfvOmTMHc+fOxYcffoh77rlHlPaR+CZN\nmuRwe7du3XzcEiLpY4BDRKL56aefUFtbK7ljyZW7gS2RmjHAISLRdOrUSZLHIiLlYw4OUTNdmcdw\n8eJFzJw5Ex07doROp8NVV12FzMxMCILg8L5nzpzB448/jq5duyIkJASRkZG48cYb8csvv9jtd889\n9+D6668HAPzvf/+zy7+YM2dOo+1LSEjA3LlzAQD33nuv3X3XrVsHwNIzYD3WH3/8gbvuugsxMTHQ\narX45ptvAACHDh3CnDlzkJaWhtjYWAQHB6Ndu3a4++678ccffzh97Pp5M56eL28eC7D0CA0ZMgTh\n4eGIiorC6NGjcfDgQcyZMwcajUaWvSU5OTl4+OGH0bNnT0RGRiI0NBTdunXDzJkzcf78ebeO9cMP\nP2DEiBFo164ddDod4uPjMWjQINtrqb5Vq1ZhxIgRiIqKQkhICLp06YJnnnkGFy5c8MIzI3Ife3CI\nvKSmpgbp6enYu3cv+vXrh+7du2P9+vWYOXMmysvL8fzzz9vtv3//fgwbNgwFBQXo1KkTbrrpJpSW\nlmLt2rVYs2YNPvnkE4wfPx4AMGjQIBQVFeGHH35Ap06dMGjQINtxevfu3Wi7xowZgx9//BG7du3C\nwIEDcdVVV9lui42Ntdv3wIED+NOf/oSoqChcf/31OHfuHIKCggAA77//PjIzM5GcnIzU1FSEhIQg\nLy8Pn3zyCVasWIGcnBz07NlTtPPlzWMtW7YMd955J8xmMwYOHIj27dtj69at6NevH0aOHOny40rN\nE088gZ07d6JHjx644YYbUF1dje3btyMzMxPffvstNm3ahBYtWjR5nAULFuDBBx+ETqfD4MGDMWTI\nEJw5cwb79u3DnDlzMHv2bLv9H3vsMbz22msICQlBv379EB0djW3btuH555/H999/j/Xr1yM8PFys\np03kmEBEzZKfny8AEAAIgwcPFs6cOWO77bfffhMCAwOFsLAwoby83La9rq5O6NGjhwBAeOONNwSz\n2Wy7bfv27UJUVJQQHh4unD592rb9559/FgAIkyZNcruNs2fPFgAIH374ocPbP/zwQ9tzePjhh4W6\nuroG++Tm5gqHDh1qsP2DDz4QAAjXX399g9s6duwo1P+Y8eR8efNY58+fF1q1aiUAEL744gvb9rq6\nOmHy5Mm24zk7V45Y2+bOT35+vsvHt96nKd99951w9uxZu21VVVXC/fffLwAQ5s6da3eb9fwNHTq0\nwfPR6/UN2mg2m4W1a9fabVu6dKkAQOjTp4/d/jU1NbbHffzxx5t+kkRexgCHqJmsFwmtViscOHCg\nwe233nqrAED4+eefbduWL18uABDGjRvn8Jivv/66AEB49dVXbdt8EeC0bt1aqKiocPv4AwcOFDQa\njXD+/Hm77Y0FJe6cL28ea+HChQIAYcSIEQ32LysrEyIiItwOcB577DFh0qRJbv1cGYw1palg6dy5\nc43ev7KyUggMDBT69u1rt91ZgBMaGir06tXLpbb16tVLACDs37+/wW0XL14UYmNjhZYtWwomk8ml\n4xF5C4eoiLwkISEBXbp0abDduq2wsNC2LTs7GwAwatQoh8eyDkH99ttvXm5l44YNG4awsDCnt1+4\ncAGrVq3Czp07cfbsWduspsLCQgiCgMOHD6Nv374uPZY758ubx9q4cSMA4I477miwv16vR3p6OpYt\nW+byYwPAK6+84tb+nnI2TTw4ONj2/4KCAqxatQr79++H0WiE2Wy27XPw4EGXHiclJQUbNmzAzJkz\nMXnyZKcJ3sXFxdi1axe6d++Orl27Nrg9JCQEqamp+Pbbb3Hw4EGH+xCJhQEOkZe0a9fO4XZrzkN1\ndbVt29GjRwEAY8eOxdixY50es6SkxHsNdEGHDh2c3rZ27VrcddddOHPmjNN9ysvLXX4sd86XN491\n6tQpAED79u0d3qexc+BvTSU+v/baa5g1axZqamqa9Thvv/02Ro0ahczMTGRmZiI+Ph6DBw/GmDFj\n8Je//AVarWV+yrFjxwAA+/bta7IIY0lJCQMc8ikGOERe4k6VXZPJBAC48cYb0aZNG6f7+bqAW0hI\niMPtFy5cwJ133onS0lI888wzGDduHDp27IjQ0FBoNBqMHz8eS5YscTpjyRFvViX25FjO7uPOc7B6\n/PHH3Q5GX3nlFURHR7v9WM5s2rQJjz32GAwGA9577z1cd911iI2NhU6nAwDEx8e73CvWs2dP5OXl\nISsrC6tXr8b69euxdOlSLF26FIMGDcJPP/2E4OBg2+s4Li4O6enpjR4zKiqqeU+QyE0McIj8wNrj\nMGXKFFnM2snJyUFpaSlGjx6NZ599tsHtR44c8UOrPBMXFwcAOH78uMPbT5w44fYxv/rqK1tvhqvm\nzJnj1QBn+fLlAIDnn3++wVDWxYsXUVRU5NbxQkJCMGrUKNswal5eHsaNG4cNGzZg0aJFePDBB22v\n49jYWFlOqydlYx0cIj8YNmwYANhqzLjCmmdRV1fn9uM1574AcO7cOQCOh3UOHTqE7du3e3Rcfxgw\nYAAAS1BSn9FotOVHuePo0aMQLJM2XP5JSEho7lOx09jf6Msvv/SoZ+pKycnJ+Mc//gEA2L17NwBL\noN61a1f8/vvvyM/Pb9bxibyNAQ6RH4wZMwbdunXDRx99hMzMzAZLENTU1ODrr7+2XUgAyxADYKlV\n48zdd9+Nbt262b7Nu3PfxliTdb/++mu7HJzz58/jvvvuk9USCnfccQciIyORlZVll0xsNpsxY8YM\nGI1GP7bOc9a/0aJFi+z+Hnl5eZgxY4bLx6msrMSbb77ZoDCg2WzGmjVrANjnKT399NMwmUwYPXo0\n9uzZ0+B4hw8fxgcffODOUyHyCg5REflBYGAgli9fjhEjRmDmzJl444030LNnT+j1epw4cQL79+/H\n+fPnsXz5clxzzTUALDOFevbsaStId/XVVyMgIAAjR460DXMdP34cBw4cQFlZmd3jpaenIyQkBP/5\nz3+wZ88exMfHQ6PR4IknnnAp8TM1NRXDhw9HdnY2unTpYlt9et26dYiOjsZtt92GFStWePckiaRl\ny5ZYsGABxo0bhzFjxmDQoEG2Qn/FxcWYMGECFi9ebDczSQ7uvfdevPrqq1i1ahW6du2KP/3pTzh7\n9izWr1+PUaNGYcuWLS4No9XU1ODRRx/FE088gb59+yIhIQE1NTXYunUrjh8/jqSkJDzwwAO2/SdM\nmIDdu3fjpZdeQu/evdGnTx8kJibCaDTi2LFj2L9/P3r16oW//e1vYj59ogbYg0PkJ926dcPOnTsx\nZ84ctGnTBhs2bMB3332HM2fOYMiQIfjwww9tQ1lWy5Ytw6hRo3DkyBF8/PHHWLRokUvDQ/Hx8Vix\nYgWuvfZabNiwAR988AEWLVrk1lTsFStW4KmnnkLr1q3x/fffY9u2bbjrrruwadMmtGzZ0t2n71d3\n3nknsrKyMGjQIGzbtg3ff/89kpOTsXnzZluitdySYqOiovDbb79h/PjxqKmpwcqVK1FQUIBnn30W\nS5Yscfk4LVq0wNtvv41bbrkFZ86cwcqVK7F27VpERkbiueeew7Zt2xAZGWl3n8zMTPz0008YOXIk\nTp48iW+++QY7duxAWFgYnnjiCfbgkF9ohOYOzBIRKYTZbEbPnj2xd+9eFBYWNljKgojkgz04RKQ6\nBQUFKC4utttWW1uLWbNmYe/evbjhhhsY3BDJHHNwiEh1cnJyMGHCBPTt2xcdO3ZERUUFdu3ahVOn\nTqFVq1b473//6+8mElEzcYiKiFTn4MGDeOGFF5CTk4PTp0+jpqYG8fHxSE9Px6xZs7w+hZuIfI8B\nDhERESkOc3CIiIhIcXwS4MyfPx+JiYkICQlBSkoKcnJyGt1//fr1SElJQUhICJKSkrBgwQK727/+\n+mukpqaiZcuWCA8PR+/evfHJJ5+I+RSIiIhIRkRPMl66dCmmTp2K+fPnY+DAgXj33Xdx4403Ii8v\nz+Gqvfn5+bjpppswefJkLF68GL/++iseeughtG7dGqNHjwYAtGrVCk899RS6deuG4OBgfPvtt7j3\n3nvRpk0bjBgxosk2mc1mnDp1ChEREV5d8I+IiIjEIwgCysvLER8fb1vVvrGdRdWvXz9hypQpdtu6\ndesmzJw50+H+Tz75pNCtWze7bQ888IBw7bXXNvo4ffr0EZ5++mmX2nTixAkBAH/4wx/+8Ic//JHh\nz4kTJ5q81ovag1NTU4Nt27Zh5syZdtvT09OxceNGh/fJzc1Fenq63bYRI0bY1lcJCgqyu00QBKxd\nuxYHDhxAZmamw2NWV1ejurra7j6AZdVgvV7v9vMiIiIi3zMajWjfvj0iIiKa3FfUAKekpAQmkwkx\nMTF222NiYlBUVOTwPkVFRQ73r6urQ0lJCeLi4gAAZWVlaNu2LaqrqxEQEID58+dj+PDhDo85b948\nzJ07t8F2vV7PAIeIiEhmXEkv8UmScf2GCILQaOMc7V9/e0REBHbu3InffvsN//73vzF9+nSsW7fO\n4fFmzZqFsrIy28+JEyc8fCZEREQkB6L24ERHRyMgIKBBb01xcXGDXhqr2NhYh/sHBgbaLX6n1Wpx\n1VVXAQB69+6Nffv2Yd68ebZVjq+k0+mg0+ma+WyIiIhILkTtwQkODkZKSgqys7PttmdnZ2PAgAEO\n75OWltZg/zVr1iA1NbVB/s2VBEGwy7MhIiIi9RJ9mvj06dMxceJEpKamIi0tDe+99x6OHz+OKVOm\nALAMHxUUFODjjz8GAEyZMgVvvfUWpk+fjsmTJyM3NxeLFi3CkiVLbMecN28eUlNT0alTJ9TU1GD1\n6tX4+OOP8c4774j9dIiIiEgGRA9wxo4di9LSUjz77LMoLCxEjx49sHr1anTs2BEAUFhYiOPHj9v2\nT0xMxOrVqzFt2jS8/fbbiI+Px5tvvmmrgQMAFRUVeOihh3Dy5EmEhoaiW7duWLx4McaOHSv20yEi\nIiIZUOVaVEajEQaDAWVlZZxFRUREJBPuXL+5FhUREREpDgMcIiIiUhzRc3CIrmQyC9iSfxbF5VVo\nExGCfomtEKDlemBERORdDHDIZ7L2FGLuqjwUllXZtsUZQjD71mRk9IjzY8uIiEhpOERFPpG1pxAP\nLt5uF9wAQFFZFR5cvB1Zewr91DIiIlIiBjgkOpNZwNxVeXA0Xc+6be6qPJjMqpvQR0REImGAQ6Lb\nkn+2Qc/NlQQAhWVV2JJ/1neNIiIiRWOAQ6IrLnce3HiyHxERUVMY4JDo2kSEeHU/IiKipjDAIdH1\nS2yFOEMInE0G18Aym6pfYitfNouIiBSMAQ6JLkCrwexbkwGgQZBj/X32rcmsh0NERF7DAId8IqNH\nHN6Z0BexBvthqFhDCN6Z0Jd1cIiIyKtY6I98JqNHHIYnx7KSMRERiY4BDvlUgFaDtE5R/m4GEREp\nHIeoiIiISHEY4BAREZHiMMAhIiIixWGAQ0RERIrDAIeIiIgUhwEOERERKQ4DHCIiIlIcBjhERESk\nOAxwiIiISHEY4BAREZHiMMAhIiIixWGAQ0RERIrDAIeIiIgUhwEOERERKQ4DHCIiIlIcBjhERESk\nOAxwiIiISHEY4BAREZHiMMAhIiIixWGAQ0RERIrDAIeIiIgUhwEOERERKQ4DHCIiIlIcBjhERESk\nOAxwiIiISHEY4BAREZHiMMAhIiIixWGAQ0RERIoT6O8GEBGpgcksYEv+WRSXV6FNRAj6JbZCgFbj\n72YRKRYDHCIikWXtKcTcVXkoLKuybYszhGD2rcnI6BHnx5YRKReHqIiIRJS1pxAPLt5uF9wAQFFZ\nFR5cvB1Zewr91DIiZWOAQ0QkEpNZwNxVeRAc3GbdNndVHkxmR3sQUXMwwCEiEsmW/LMNem6uJAAo\nLKvClvyzvmsUkUowwCEiEklxufPgxpP9iMh1DHCIiETSJiLEq/sRkesY4BARiaRfYivEGULgbDK4\nBpbZVP0SW/myWUSqwACHiEgkAVoNZt+aDAANghzr77NvTWY9HCIRMMAhIhJRRo84vDOhL2IN9sNQ\nsYYQvDOhL+vgEImEhf4kiBVPiZQlo0cchifH8n1N5EMMcCSGFU+JlClAq0Fapyh/N4NINXwyRDV/\n/nwkJiYiJCQEKSkpyMnJaXT/9evXIyUlBSEhIUhKSsKCBQvsbl+4cCEGDx6MyMhIREZGYtiwYdiy\nZYuYT8EnWPGUiIjIO0QPcJYuXYqpU6fiqaeewo4dOzB48GDceOONOH78uMP98/PzcdNNN2Hw4MHY\nsWMH/vWvf+GRRx7BsmXLbPusW7cO48aNw88//4zc3Fx06NAB6enpKCgoEPvpiIYVT4mIiLxHIwiC\nqFfM/v37o2/fvnjnnXds27p3745Ro0Zh3rx5DfafMWMGVq5ciX379tm2TZkyBbt27UJubq7DxzCZ\nTIiMjMRbb72Fu+++u8k2GY1GGAwGlJWVQa/Xe/CsvC/3cCnGLdzU5H5LJl/Lbm4iIlIld67fovbg\n1NTUYNu2bUhPT7fbnp6ejo0bNzq8T25uboP9R4wYga1bt6K2ttbhfSorK1FbW4tWrRzXkqiurobR\naLT7kRpWPCUiIvIeUQOckpISmEwmxMTE2G2PiYlBUVGRw/sUFRU53L+urg4lJSUO7zNz5ky0bdsW\nw4YNc3j7vHnzYDAYbD/t27f34NmIixVPydtMZgG5h0uxYmcBcg+XcniTiFTFJ7OoNBr7qZCCIDTY\n1tT+jrYDwEsvvYQlS5Zg3bp1CAlxfPGfNWsWpk+fbvvdaDRKLsixVjwtKqtymIejgaVuBiuekis4\nG4+I1E7UHpzo6GgEBAQ06K0pLi5u0EtjFRsb63D/wMBAREXZ55688soreOGFF7BmzRr07NnTaTt0\nOh30er3dj9Sw4il5C2fjERGJHOAEBwcjJSUF2dnZdtuzs7MxYMAAh/dJS0trsP+aNWuQmpqKoKAg\n27aXX34Zzz33HLKyspCamur9xvsBK55Sc3E2HhGHZ8lC9CGq6dOnY+LEiUhNTUVaWhree+89HD9+\nHFOmTAFgGT4qKCjAxx9/DMAyY+qtt97C9OnTMXnyZOTm5mLRokVYsmSJ7ZgvvfQSnnnmGXz22WdI\nSEiw9fi0aNECLVq0EPspiYoVT6k5tuSfbdBzcyUBQGFZFbbkn+VsPFIkDs+SlegBztixY1FaWopn\nn30WhYWF6NGjB1avXo2OHTsCAAoLC+1q4iQmJmL16tWYNm0a3n77bcTHx+PNN9/E6NGjbfvMnz8f\nNTU1GDNmjN1jzZ49G3PmzBH7KTnlrSUWWPGUPMXZeKRm1uHZ+v011uFZ9oSri+h1cKRIjDo4/NZA\nUsB6SqRWJrOAQZlrnfZgWidqbJhxA3vEZUwydXDUgkmdJBXW2XjOPr41sATenI1HSuPO8CypAwOc\nZmJSJ0kJZ+ORWnF4lupjgNNM/NZAUsPZeKRGLJZK9fmk0J+S8VsDSRFn45HasFgq1ccAp5n4rYGa\nw1sz7xzhbDxSE+vw7IOLt0MD2AU5HJ5VJwY4zcRvDeQpzrwj8i7r8Gz991Us31eqxGniXpgmbp1F\nBTj+1sC8B6rPWb0OvmaImk/MnlHyL04T9zEmdZI7OPOOSFzW4dnberdFWqcoBjcqxSEqL2FSJ7nK\nG8sp8BsqEVHjGOB4EZM6yRXNnXnH3B0ioqZxiIrIx5oz845Vs4mIXMMAh8jHPF1Ogbk7RESuY4BD\n5GOeLqfAqtlERK5jgEPkB57MvGPVbCIi1zHJmMhP3J15x6rZRESuY4BD5EfuzLxj1WwiItdxiIpI\nJjzN3SECLEnquYdLsWJnAXIPlzIZnRSPPThEMsK1dsgTrJ1EasS1qLywFhWRr7GSMbmK656Rkrhz\n/WYPDpEMsWo2uaKp2kkaWGonDU+OZYBMisMcHCIihWLtJFIz9uAQESmUu7WTOPRJSsIAh8gLeGEg\nKXKndhITkUlpGOAQNRMvDCRVrtZOOldRg3981jAR2bqIKxORSY6Yg0PUDFzdm6TMldpJz9zcHc99\nx0VcSXkY4BB5iKt7kxw0te5ZZLiOicikSByiIvKQOzNUOKWb/Kmxdc9W7Cxw6RhcxJXkhgEOkYe4\nujfJibPaSVzElbzObAbMtUCgzq/N4BAVkYd4YSAlsCYiO5vzp4ElaZ6LuJJLzCZg1T+BpROBuhq/\nNoUBDpGHeGEgJeAiruQ1plpg2d+BHYuBQ9nAic1+bQ4DHCIP8cJAStFUIjKniFOTaquApROAvV8D\n2iDgjo+AxMF+bRIX2+Rim9RMrINDSsGCleSR6gvA5+OA/F+AwBBg7KdA52GiPBQX2yTyocZmqBD5\ngrcCEy7iSh65cBo4nQcEtwDGLwUSBvm7RQAY4BB5BS8M5C/sQSS/i+oE3P0NUFcNtEv1d2tsmIND\nRCRTrKRNfnPge2D/6su/x14jqeAGYIBDRCQrJrOA3MOlWL79JP61fA8raZNvCQKw8S1gyThg2X3A\nmQP+bpFTHKIiIpIJR8NRzrCSNnldXQ2w+jFg+8eW33uOBVol+bdNjWCAQ0QkA9bhKHf7Y1hJm7yi\n8izwxd3A0RxAowXS/w1c+yCgke5kCgY45FeclkrUtMYWdm2Ks0rafO+Ry0oPA5/dCZQessyUGvMB\n0GWEv1vVJAY45Dec/UHkmqYWdnVEA0uhPkeVtPneI7fs+MQS3BjaA+M+B2J7+LtFLmGSMfkFZ38Q\nuc7dYabGKmnzvUduu/5pYOCjwN9/kk1wAzDAIT9orLudsz+IGnJ3wVZnSyzwvUcuMZuArR9cXiwz\nIBAY/iwQEePfdrmJQ1Tkc011t3P2B5E968KuRWVVTvNwWoUH4Zlbrkas3nk+Dd971KTqC8DX9wMH\nvgNO7QBG/tffLfIYe3DI51ztbufsDyKLphZ21QB44fZrcHuftkjrFOU0WZjvPWpUWQHwYYYluAnQ\nAQlD/N2iZmGAQz7nane7u93yRErmjRW/+d4jpwq2AwtvAIp2A+GtgXu+BXre4e9WNQuHqMjnmupu\nb2z2B5GaNXdhV773yKG8lZZhqbqLQJtky0ypyI7+blWzsQeHfK6p7nbA8ewPIrq8sOttvRsfjnJ2\nX773yM7Fc8CKhy3BzVXDgL/9oIjgBmCAQ37ije52IndY13BasbMAuYdLVTtTiO89CTObgPwcYPdX\nln/NJvEfMzQSuOMDoP8UYNxSIEQv/mP6iEYQBNW9y41GIwwGA8rKyqDXK+ePKUespkq+wMJ2DfG9\nJzF5K4GsGYDx1OVt+nggIxNIHundx6o8C5w7CrTt693j+oA7128GOAxwiBTN2RpO1ks5ey3I7/JW\nWtZ5cvYqvfNj7wU5JYeAz+6wDE39/ScgqpN3jusj7ly/OURFRIrFwnYkeWaTpeemsVdp1kzvDFfl\n/wK8/2fg7BEgOAIw1TT/mBLGAIeIFMudwnZEfnFso/2wVAMCYCyw7Ncce78BPrkdqDoPtPsTMPkn\noE335h1T4jhNnIgUi4XtSPIunPbufo6c2GKZBm6uA67+CzBqPhAU6vnxZIIBDhEpltwK2zHxV4Va\nuLi+k6v71XfuKLDkLsBUDXS9CRj9PqAN8OxYMuOTIar58+cjMTERISEhSElJQU5OTqP7r1+/Hikp\nKQgJCUFSUhIWLFhgd/vevXsxevRoJCQkQKPR4PXXXxex9QRwii3Jk7WwnbMQQQPLbCopFLbL2lOI\nQZlrMW7hJjz6+U6MW7gJgzLXcnVvpes4wDJbqrFXqb6tZT9PhLQEYnoAsT2BvyxUTXAD+CDAWbp0\nKaZOnYqnnnoKO3bswODBg3HjjTfi+PHjDvfPz8/HTTfdhMGDB2PHjh3417/+hUceeQTLli2z7VNZ\nWYmkpCS8+OKLiI2NFfspqB4/eEmu5FLYzjrTq36+UFFZFR5cvJ3vNSXTBlimggNw+irNeNHzwCS0\nJTBhGTBxOaBr4WEj5Un0aeL9+/dH37598c4779i2de/eHaNGjcK8efMa7D9jxgysXLkS+/bts22b\nMmUKdu3ahdzc3Ab7JyQkYOrUqZg6darLbeI0cddxii0pgZTr4JjMAgZlrnWaDG1dPmHDjBv8HoiR\niBzWwWlrCW7cnSIuCMCRdUDSdYBGWa8Zd67foubg1NTUYNu2bZg5c6bd9vT0dGzc6DgjPDc3F+np\n6XbbRowYgUWLFqG2thZBQUFut6O6uhrV1dW2341Go9vHUKOmpthqYJliOzw5lh+8MqWWnI/mruEk\nJndmeqV1ivJdw8i3kkcC3W62zJa6cNqSc9NxgGc9N7++Afw421Kd+MbMpvdXKFEDnJKSEphMJsTE\n2CdHxcTEoKioyOF9ioqKHO5fV1eHkpISxMW5/21r3rx5mDt3rtv3Uzt+8CqblHs1xGBdw0lqONOL\nbLQBQOLg5h0jb6UluAGAyMTmt0nGfJJkrKnXRSYIQoNtTe3vaLurZs2ahbKyMtvPiRMnPDqO2vCD\nV7mY8yEdcpvpRRJWsM0yHRwA+t0PXDvFv+3xM1F7cKKjoxEQENCgt6a4uLhBL41VbGysw/0DAwMR\nFeXZty+dTgedTufRfdWMH7zK5I2hR7UMbfmCdaZXUVmVw7+JNQdHCjO9SMLOnwA+u8uyKnjndGBE\nwxxXtRG1Byc4OBgpKSnIzs62256dnY0BAxxPeUtLS2uw/5o1a5CamupR/g15Tk5TbMl1za3uy1l1\nrnG1tIJcZnqRhFUZgc/GAhXFlinhYz4AAljmTvQhqunTp+P999/HBx98gH379mHatGk4fvw4pkyx\ndJ3NmjULd999t23/KVOm4NixY5g+fTr27duHDz74AIsWLcLjjz9u26empgY7d+7Ezp07UVNTg4KC\nAuzcuROHDh0S++moCj94lak5Q48c2nKNu0FgRo84vDOhL2IN9r2hsYYQzlSkpuX/AhTnWRKTxy8F\ndBH+bpEk+GQ18fnz5+Oll15CYWEhevTogf/85z8YMmQIAOCee+7B0aNHsW7dOtv+69evx7Rp07B3\n717Ex8djxowZtoAIAI4ePYrExIbJU0OHDrU7jjOcJu4etSWjKl3u4VKMW7ipyf2WTL7WLimX05ld\n05zSChz6I48d+N4S4LTt6++WiMqd67dPAhypYYDjPn7wKoc1UGkq56N+oOJpYKQmDALJp0x1ljo3\n3phaLhOSqYNDyiHVKbbkPuvQ44OLt0MD2AU5jQ09SmlWnVQDbpZWIJ858D2w+gnLGlMXii9v18db\nKiO7WxxQgRjgEKmQNeej/tBjbCNDj1KZVSflIVMpBYGkYIW7gC8nAXXVDW8zFgJf3A3c+bHqgxwG\nOET1SLV3wNvcre4rhenMzvJbrEnO/k7IlUoQSAp2eq9lxpSj4AaArdhD1kxLZWQFD1c1hQEO0RWk\n3DsgBneGHj0d2vIWOSwdIoUgkBRs7zfANw8BtRVN7CgAxgJLbk5zKyPLmE8qGRPJAadAN82f05mb\nW7/HF1hagURhNgE/PWsZlqqtANoku3a/C6fFbZfEsQeHCPLoHZAKfy1cKZf8Fk/ymxqjliFTaoSp\nFjj8s+X/A/4JdBoGfHJb0/dr4XjFALVggEMEzn5xlz9m1ckpv8VbQaDahkzJiaAQYOxi4MQmoMdo\nS4+OPt6SUOxsMFQfb5kyrmIcoiKCfHoH1ExuS4dYg8DberdFWqcoj4IbDpmq2OGfgQ2vX/7d0NYS\n3ACWxOGMzEs3OBkMzXhR1QnGAAMcIgDy6h1QKzXltzQ1ZApYhkydrW9FMrdlIbB4NPDjbODgj473\nSR5pmQqur9eTp4/nFPFLOERFBM5+kQtv57dIFYdMVcpUB2TNAH573/J7z7uAhEHO908eaZkKrqJK\nxu5ggEME/0+BJtf5K8nZlzhkqkJ11cBXfwP2fwtAAwybDQycalmKoTHaAFVPBW8MAxyiS9TSO6AE\nSl86hEOmKlNTAXw+HjiyDgjQAWMWAd1v9XerZI8BDtEV1NA7QNLHIVOVObjGEtwEhQPjlgBJQ/3d\nIkVggENUj9J7B0j6pDxkyro8Irj6dsB4CmjfH2iX6u/WKIZGEATVpeG7s9w6EZG/SK0OjtTaI2ul\nhwGdHmjR2t8tkRV3rt8McBjgEJGESaXHxNlCp9aW+HuhU1k5vglYMg5olQRMWgUEh/m7RbLhzvWb\nQ1RERBImhSFTLmXiRXuWAcsfBEzVgJAA1FYywBEJC/0RUbOZzAJyD5dixc4C5B4uZQE6hZHDQqeS\nJwjAhv9YpoKbqoGuNwP3fAeER/u7ZYrFHhwiahbmZSgf6/I0U1018N10YMdiy+/9HwRG/JsF+UTG\nHhwR8VstKR3XS1IH1uVpJmtwo9Fa1oi6ketE+QJ7cETCb7WkdMzLUA/W5WmmwY8BRzcAN78KXDXM\n362xMJsUv8QDe3BEwG+1BCi/B495GeqhpoVOvabk0OX/t0oCHt4qneAmbyXweg/gf7cAy+6z/Pt6\nD8t2BWEPjpfxWy0B6ujBY16GOlinqVfXmTF1WBcs2XIcRUYuZeKU2Qz8/G9gw2vA+C+AzsMt2wOC\n/Nsuq7yVwBd3A/WvUsZCy3YFrUTOAMfLuAowOasXYu3BU0q9EOZlKJ+jQD1Wr8O0YZ2REB3OSsb1\nVV8Alj9wacFMAAXbLgc4UmA2WVYrb+wreNZMywrlChiu4hCVl/Fbrbo11YMHWHrwlDBcZc3LcHZp\n08DSa8W8DHlyNtR+2liN1388CF2gFmmdohjcWJ07CixKtwQ3AcHAqAXAdTOd7282Afk5wO6vLP+a\nTeK38dhGy5IQTgmAscCynwIwwPEyfqtVNzXlpTAvQ7nUFKh7xdFfgYU3AMV7gfA2wD2rgd7jnO/v\nrxyYC6e9u5/EMcDxMn6rVTe19eBl9IjDOxP6ItZgH7DHGkJ8OhSn9IRuX1NToN5sxfuBj0cClaVA\nXC/g/nVA+z8539+aA1O/J8WaAyNmkNMixrv7SRxzcLxMSqsAS2UNGzVRYw9eRo84DE+O9dtrTQ0J\n3b6mtkDdKVemUrfuCvSZAFSVAbfNb3zZBX/nwHQcAOjjLcGUswn/+njLfgrAAEcEHaPCMf+vffDs\nt/vsk/N8+KHLD33/UGu9EH+tl6SWhG5fU2Og3kDeSkswcmVPiz4eyMgEEgcD0AChLQGNBrjpVUtA\nomkiqHcnByZxsBeeRD3aAEv7v7gbcPYVPEM5RQgZ4HiR2Sxg0odbkHOwBF9NScOGGTf45VstP/T9\nR0o9eErHkgziUWugbtPoVOqJQEQs0CYZGP8lEBBo+XGFFHJgkkdapoI7DN5eVMwUcYA5OF6l1WrQ\nLjIUAPDeL0ds32pv693WZ7MNmBzof1LJS1E65omIR9UJ5E0OIwEoLwLOHADKG+uNcUAqOTDJI4Gp\ne4BJ3wKjF1n+nbpbUcENwB4cr7tvUBKWbDmB7H2nceTMBSS1buHTx2cdHmnwd16KGjBPRFzWQL1B\nHRylD3U3OYx0yYgXgJYd3Du2lHJgtAHiDINJCAMcL7uqTQsM694GP+4rxqIN+fj37df49PH5oS8d\n/spLUQvmiYhPlYG6q8ND5jr3j62yHBh/4xCVCCYPTgIAfLXtJEovVPv0sfmhT2rBkgzNV2sy2/0u\nCA17Ffwx1O5XYg8jWXNg9PV6wPTxilomQQrYgyOCfomt0KudAbtOluGTTccwdVgXnz62qpMDySml\nlQ1gQrdrTp6rRH5JBU6eu4iT5yov/Wv5f2W1Cb/PSYfm0uyfRz/fiaw9RegYFYbb+7bF6L7tEKP3\nzpch2bz+fDGMlDzSMhVc4at5+xsDHBFoNBrcP6QT/vHZdvy0rxiP/rmz7QNEbPzQJ0eUWjZAtXki\nl1TW1OHUeUvAcup8FU6eq0RxeTVeHtPT9pkze8Ve/LS/2Okxyi7WomVY8KXjmVBjMuNg8QW8lHUA\nr/xwAEO7tMYdqe0xrHsMggM96/SX1etPGwCMeBH4chJEHUZSQQ6Mv2kER32SCmc0GmEwGFBWVga9\nXi/KY9SZzMjOO43hyTEIDPD9SKCsPlBIVM7KBlhDXCXM7JJN74CbzGYBhcYqHC+ttMvnmrNyL1bs\nLMC5ylqH99v1f+kwhFlWr573/T6s3VeMdpGhaN8qDG1bWv5tFxmKdpFhiAwLsgVDxqpalFXWIvdw\nKb7cdgK/HT1nO2bXmAhkTR3s9pc12b3+zh2z5Mh0vxXYuqjeVOq2iptKLTfuXL8Z4IgU4EiBUj/0\n5czXfxOTWcCgzLVOZ9ZZhyw3zLiBrw0/21doxK4T55FfWoGjJRU4WlKJo6UVqK6z5MlcGbTMXrEH\n/8s9BgCICAlE25ahlp/IULSLDMVd/TpAHxLU7DYdOXMBX207ia+2ncRf+rbDzBu7AbAEXntPGXFN\nO0Oj95fd6+/QT8DX9wOVJUDMNcD9PwPHN3EYSULcuX5ziMoHak1mnCmvRnzLUJ8+LmfxSIs/etVY\nNkAaBEFAaUUN8ksqkH+mwhbEvHxHL7TQWT6GP918DIs3HW9w30CtBh1aheFcZY0twPnboETc1a8D\n2kaGeiWQcSapdQs8mdEN04Z3sQVaAJBzqASTPtiCIV1aY9qwzujTIdLh/WXz+jPVAmufA359w/J7\n7DXAuKVAQBCHkWSMAY7Ith49i0eW7ECMIQRfPzjAZ7k4JC3+qi6t5rIB/ujBrKo1IShAa3ucL347\ngU83H8ORkgqUVzWcVvyP669Cj7aWXpDe7SNx/OxFJEaFISE6HAnR4UiKDkfblqENhrk7RoWL+jzq\nCwrQIuiKNhw5cwGBWg1++eMMfvnjDK7v2hrThndBz3Yt7e4ni9ffuaPAV/cBBVstv6feB4z4NxDk\n2y+k5H0McETWMSocJRU1OHXpW0r/JH5LVht/Limg1rIBYvaWmcwCCssuWnpjSipw5EwFDp+5gPyS\nChScv4jVjwxG9zhL13nZxVrsOlkGwLJMUduWoUiMDkdClCWAaR2hsx13TEo7jElp16y2+cq9AxPx\n524x+O/ag/h6RwF+PnAGPx84g+HJMXg8vSu6xkYAkMHr72w+8O4QoNoIhBiAkf8Fkm/zT1vI6xjg\niKx1hA5jUtrhs83HsWD9YQY4KuTPbno1lg1wp7fMWS+PNbn3aEkFjpZWYFj3GNt06YU5R/Di9/ud\nPv7RkgpbgDMsOQbtW4UhqXU4OrQKQ0iQcvI3OkSF4eU7euGh66/Cf386iG92FiA7z1LBPXvaUGi1\nGum//iITgE43AOWFwOj33a9MTJLGAMcH7h+chM+3HMfPB85gf5ER3WKVm9hMDfmzm15tZQNc7S1L\n6xSNX/4oxgur99sFn8EBGoTrAlFeVYe6K9ZriwrXIaNHLAAgISoMwQFatG8ViqTWLZAUHY6k1uFI\nat0CidHhiAoPtt0vMTocidG+HU7ytcTocLw2tjceur4TXsv+AzddEwftpddTndmMqX/ujJlf75bm\n60+jAW57GwgMcX3BTJIN/kV9ICE6HDf2iMN3uwvx7voj+M/Y3v5ukipIZRaZv7vp1VIrxmwWkHu4\n1KXesl5z1zi8vcYkoOaKqdcBWg2S4yIQEXL5o/LP3WOw77kMxQSF3nJVmwjM/2uK3bYlm4/jxaz9\nGJ4cg10nzuN0+eXK7r5+/Z2vrMGmI2dRXWey/zzQ+Xa9QPIdBjg+MmVoJ3y3uxArd53CY+ld0C4y\nzN9NUjQp1QGSQje9XNcUqqypg1ajsQ3tHD5zAdl5p3G2ogYlF6pRcqEGJeXVKLlQjbMVNZiY1tGr\nj282C9hTYER51eWgJ8gPda3kKvdIKapqzViTdxotdIG4I6UdUhMi0aFVuE9ff6+tOYC3fj6EKzrl\n1FUXzGxSZdVk1sHxYR2cCe9vxoZDJZh9azLuHZjos8dVGykWFrO2CXDcTS+5YmciEAQBF6rrcLai\nBpHhwbbpzfsKjVi+owClF2pQWmEJVKz/r6o147/j+uDWXvEAgKw9RZiyeJvTx5iUloD/5R71arsl\nV6tFRgRBwM8HivHyD39gX6ERABAZFoTJQ5Jwd1qCbYq8WC5U1+HBxduQc7CkwW2qee/lrQSyZtQr\nWBhvWfSzqYKFEgyMWOivCf4KcPYUlMFkFtCrfUufPabaSLmwmJR6lZwxmwXUms2oMwmoMwkIDQ6w\nlec3VtXi1PmLqK41o7rOjOo6EyprTKiqtfw7oFOUbfry1qNn8X5OPoxVtThbUYNzlTU4V1GLmkuL\nO745rg9GXgpafthbhAc+cR60PHvb1bg7LQEA8MfpcixYdxhRLYLRKlyH6BbBiG6hs/xEBKNlaDBu\neHVdo71lhtAgnL/ouAJwY5ZMvpa1gjxkNgv4bnchXsv+A/klFQCAUb3j8fpdfUR7zNzDpXjiq104\nee6i030UH7zmrby0crmTr3uNLe7ZnMBIRCz0J1HWehckHqkWFjOZBQzq3Brrn7ge246dQ3F5FQK1\nWsQaQmAyC9hwsAQ1JhNq6syWPJA6M4Z1b2NbI2jr0bP49VApak1mWwBSazKjzizAZBIw5bpOtmTW\nn/adxpItJ2AyW2637ltrFlBbZ8Zzo3ogpaOlMNtX205izsq9qDGZUWcy23XhA8CCCSm25Nqf9p3G\ntKW7nD7H18f2tgU4ZytqkLW3yOF+IUFaVNWabL93btMCfx+UiFYtghEdrkOr8GDb/6NaBCMs+PI3\nxi4xEXitiRy2ppKq7x2YgP/8eLDRYziixFpBvqLVanBrr3jc2CMWK3edwltrD+Hvg5Nstx85cwFl\nF2vRu31Lr9QKm/f9Pry7/kiT+0mm0KAYzCZLgNJYyn3WTMuin/V7ZZwFRsZCy3aZrHrOAMdPdp04\nj9YROp9XN1Y6MWYsCYKAqlozyqtqUV5dh/KqOlyoqsOF6loYL9bh1l7xCL10Ef5q20l8v7sQ5y/W\n4nxlDcou1qK8qs5WBXbtY0NtH6SvrjmAf3y23enjrnp4kC3A2XL0LP7z4x9O9/1L37a2AOfkuYv4\ncd9pp/sar+i9MF8aNnLGdEXE00IXhOgWOugCtdAFahEcqEVocADCggMQGhRgV9MlOV6P5267GvrQ\nILQMC0ZUeDAiw4PRKizYdq6sklq3wNO3JDttg7uaSqoenhyLz3874bSXxxml1Qryh8AALf7Stx1G\n9W5rm2kFAIs25OPTzceREBWG23q3xW2945HU2vPkX+vfKi0pCrlHSpvcX5HB67GN9r0vDQiAscCy\n35XVmpsTGEkMAxw/+DHvNB76bDu6xLTAlw8MaPCBT55z9SJUWyfgh71FOF9Zg3OVtThfWYuyi7Uw\nXrT8+/Zf+8IQemndn5V78fGldX8c6Z/UytZzceTMhUZXbr54Rc9FZFgw2kWGIjjAEiwEB1qqxQYH\naBF0KXiw6hFvwPj+HRAcoEWgVoPAAC2CAjQI1GoRGKBB28jLgXJapyjM+8s1CNBqEKDRIChQiyCt\nxlKNNlCLHvGXu3UzesTiTwmtLI996biBARoEXTpu4BUXoeHJMRieHOPS+W0XGYaJl4aV/KGppGpn\nvTyO+L1WiwJp6w0HBWo1CA0KwNHSSrzx00G88dNBXB2vxy0943FLzzi0b9X4pIzyqlqUXKixBfn3\nDkhAr3YG1JoElwIcRQavF5x/yWl0P1cDo5/nAUlDJZGX4wwDHD/oFheBFrpA7Ckw4sllv+PNu3pz\nCQc3VdWacK6yBjERIbYPy5yDZ7D92HmEBwegosbk8H7Wi9X24+fw2ZaG6/5YnauosQU41kRIrcby\n/4iQIESEBF76fyC0V/zt0q+ORYdWYWgZFgRDaDAiw4PQQheIsOBAhAUHQBd4eQbO3wYl4m+DXEs2\nH9KlNYZ0ae3Svl1iItAlJsKlffUhQaKuZeRPja3F5qyXpz5J1GpRgbm39cCTGd2wJq8I3+w4hQ2H\nSrD3lBF7Txnx2ZZj+OWJ6x1+Rp6vrMGHvx7Fh7/mo1V4MFY/OhhhwYHQajVITWgFk1nw+wxGv2nh\n2peRBvu5GhjlvGz5kUBejjNMMvbTauKbj5Tir+9vRp1ZwJMZXfHQdVf5pR1SUFVrQsmFapyrqMW5\nyhoMuiraFrR88dsJ/HLwDM5V1uBsRe2lHpcaVNVahnx2/t9w2zDOU8t349PNzoMWwPKB9s6Evjh1\nvgqrfj+FyLBgtLw0jGIIDYIhNBD60CD8uXuMLcCpuDSEExYcwEBUYa6slXS0pBJLthxHkVG6SeBq\ncbaiBll7ivDt76fQp0NLPDHCsop5TZ0Zf/94K67r0hrF5dX4JPeo7cvMVW1a4K3xfRoUUlXtDEaz\nCXi9hyVvxll4p48Hpu6274HJzwH+d4sbD+RCwrIXcRZVE6QQ4ADA4k3H8PQ3e6DRAO/fnYo/d3cx\n4pYJs1lASUU1TpdVo0dbvS04+PDXfKzdX4zTxioUl1fjfKX9jJYdzwxH5KVqsE9/s9vhCsuApVv7\np8eG2oaHVuwswMZDpYgMD0ZxeRV+2ncaZRcv55fE6nWYM/JqZX6YkVdIpTgkXSYIgu2z4+f9xbj3\no9/sbu8ep8c/b7gKGVfHNhj6spLDDEZR2JKFAYfhnaOgpMnAyBEnwZIIGOA0QSoBDnC51yE8OAAL\nJ6ViQKdov7bHVVW1JugCtbYPnuy809h0pBRFxioUlVl+ThurbOXur+xp+b8VexrktAQHaNEqPBgt\nw4Lw4b1/QpzBklPy66ESHCgqt90WGRZs6XUJD0KELrDRHhVerIiU5Ux5Nb79/RS+31OEQK0GfxuY\niD93b+NSz6pqPw8cTvduC2S82PgUcYeBURMmfWufsCwCyQU48+fPx8svv4zCwkJcffXVeP311zF4\nsPOTsH79ekyfPh179+5FfHw8nnzySUyZMsVun2XLluGZZ57B4cOH0alTJ/z73//G7bff7lJ7pBTg\n1NSZMWHRZmzJP2tXG8QaICTH671aOdWdN/megjLsLiiztcUavJw2VuFcZa1dT4ujoAWw5K1Et9Dh\niwfSkHApAXDbsXM4WlKBGH0I2uh1iIkIgT608WCFiIg85EnBPkeBUVNGLwKuGdO8tjZBUnVwli5d\niqlTp2L+/PkYOHAg3n33Xdx4443Iy8tDhw4NV27Nz8/HTTfdhMmTJ2Px4sX49ddf8dBDD6F169YY\nPXo0ACA3Nxdjx47Fc889h9tvvx3Lly/HnXfeiQ0bNqB///5iPyWvCg7UYuHdqZi/7hCGdL7ce7Ns\n+0m8/MMB6AK1uKatAX07RqJXu5bQh1r+ZNcmRdkCn/1FRpw6fxGCAJgFy9Rfk1lAnVmA2SxgxNWx\nCA0OQNaeQsz6ejfOXTEkFByoRduWoQjQalB6oRrZ04ciuoVluu+XW0/gf43MHioyVtkCnMGdWyMk\nKAAx+hDEGUIQa7D827qFDoH1ArSUjpG2OixERCQybYD7PSvJIy1TwY9tBPLXA7+83PR9XE1s9hHR\ne3D69++Pvn374p133rFt6969O0aNGoV58+Y12H/GjBlYuXIl9u3bZ9s2ZcoU7Nq1C7m5uQCAsWPH\nwmg04vvvv7ftk5GRgcjISCxZsqTJNkmpB8eZV344gE82HUOZk4qrVw75zPr6dyzZcsLpsXJn3YBd\nJ847XL6gvqypg21Jel9uPYHVuwsRawhFrD4EsQYdYvSW4CUmIgQtw4JU0eui2q5tIiLA84RlEUim\nB6empgbbtm3DzJkz7banp6dj48aNDu+Tm5uL9PR0u20jRozAokWLUFtbi6CgIOTm5mLatGkN9nn9\n9dcdHrO6uhrV1ZdXsTUajR48G996fERXPJbeBfklFdhx/Dy2Hz+HPaeMqK41QaPR2AUW7SLDcE1b\nA7QaABoNAjRAoFaLAK0GgQEaaKHB3FV5jQY3rcKDsPi+a211JADgjtT2uCO1vXhPUgZUm5xIRNLk\nj/WhtAGWqeBf3A04qxGe8aLk6uGIGuCUlJTAZDIhJsa+2yomJgZFRY7LuBcVFTncv66uDiUlJYiL\ni3O6j7Njzps3D3Pnzm3GM/EPjUaDpNYtkNS6BUantHO63z+uvwr/uN75NPPcw6WN1voAgLMVlgJ3\nukBpvUD9ydminUVlVXhw8XblTi8lImny5/pQySMts64cPn4jCct+5JNCf/WHMa6c9ufq/vW3u3PM\nWbNmYfr06bbfjUYj2rdXT8+EGMsXKJ3JLDjt9bpUrBxzV+VheHIsh6uISHxSWB/qyrwcCa0w7oyo\nAU50dDQCAgIa9KwUFxc36IGxio2Ndbh/YGAgoqKiGt3H2TF1Oh10Op3D29TA1TLkiixX7iGpLtpJ\nRCokpfWhPElY9hPvzT92IDg4GCkpKcjOzrbbnp2djQEDBji8T1paWoP916xZg9TUVAQFBTW6j7Nj\nKpHJLCD3cClW7CxA7uFSu0UR6+uX2ApxhhA462fQwJJXIqdy5e48f0+w14uIJMOdhTPJRvQhqunT\np2PixIlITU1FWloa3nvvPRw/ftxW12bWrFkoKCjAxx9/DMAyY+qtt97C9OnTMXnyZOTm5mLRokV2\ns6MeffRRDBkyBJmZmbjtttuwYsUK/Pjjj9iwYYPYT0cS3E18DdBqnC4uKMe1dpqT+OvqjCj2el3G\nWWQkdYp/jXq6cKbKiR7gjB07FqWlpXj22WdRWFiIHj16YPXq1ejYsSMAoLCwEMePXy7Fn5iYiNWr\nV2PatGl4++23ER8fjzfffNNWAwcABgwYgM8//xxPP/00nnnmGXTq1AlLly6VXQ0cT3ia+OpsccFY\nmc0Iak7irzuBkbXXS5WL9F2Bs8hI6lTxGvV04UyV41INEq2D44jJLGBQ5lqnuSHWi+6GGTc4/fYi\n5286zXn+zgKjxhbck9MifWL8XT05Z0S+pJrXqITq0PibZOrgkHd5I/E1QKuRbVKsp8/f0xlRcun1\nEuMbLGeR+Yacv3D4m6peo+7WofFHrRwJYoAjI2pPfPX0+TcnMMzoEYfhybGSvQiJVavHV7PI1HyB\nV8XQiohUN9PR1To0/qyVIzEMcGRE7Ymvnj7/5gaGUu31EvMbrC+CaTVf4FlEsvlU+YWvqTo0za2V\no7CeHwY4MqL2xFdPn79SA0Mxv8GKfc7UfIFX1dCKiGT3vvZW8OCsDk1za+UosOdH1Do45F3W6d4A\nGtS0keN0b3d5+vyVWAcIEPcbrJjnrKkLPGC5wHu7tpFUuBOYknOyel/nrbQkCf/vFmDZfZZ/X+9h\n2e4tzamVY+35qX9/a8+PN9vpQwxwZMJa2K66zoypw7ogRm//rSTWEKLob71W1sTfWIPrz19ugaGr\nRQzF/AYr5jlT+wVelUMrIpD0+9psAvJzgN1fAesyfRM8eForp8meH1h6fsym5rTOLzhEJQOOchVi\n9TpMG9YZCdHhqkvO9CTxV4kzosQeshTrnKn9Ai+7oRUJk+T72tFQj0NeXmLB01o57vT8yGSJBisG\nOBLnLFfhtLEar/94EO9M6CvJBFixeZL4q7QZUb6oUC3GOVP7BV7tuXTeJqn3tbMkX6e8GDx0HGDJ\nmWmqVk7HeksaKbhKMoeoJEztuQpisAZGt/Vui7ROUZIJbjz9W3syZOcub58zWeVOiEDSQyt+5uka\nc5J4Xzc61NMEbwQP1lo5AJy+sq6slWOl4CrJ7MGRMNXVeVAxJdfqqU9pa6N5QpJDK34m+7IBTQ71\nNMJbwYOrtXKu5GnPjwwwwJEwteYqqLH4m1Jr9TjDC7z8AlMxKaJsgEe9MCIED03VyqnP3SrJMsIA\nR8LUmKsg+29xHlLj35oXePkFpmJQTF0gt3thRAwenNXKccaTnh8ZYIAjYWpLRlTEtzgPqe1vbcUL\nPClmKL7JoZ56pBY8uNvzIwNMMpYwNSUjqj2hWk1/a6IrSWoo/sr6Nfk57tV+cSXJ97p/AaMXAZO+\ntaz8LZXgxsra83PNGMu/Mg5uAAY4kueLWTJSoPbib4B6/tZEV5LM8Kw3qg1bh3r09d6r+njgzk+A\n62YoJniQAw5RyYAUcxW8nQgsqW9xfiTFvzWRmCQxPNvcRSqvpMChHrligCMTUspVECMR2F/f4qQ4\nY0tKf2sisfm9bEBzF6l0xN0kXxIFAxxyi1iJwP74FqfWGVtEUuPXsgEKXqpA7RjgkMvEnM7p629x\nap6xRSRFfhueVfBSBWrHJGNymdiJwL5KslX7jC0iqfLLkgsKXqpA7diDQy7zRSKwL77FKabuBhE1\nn4KXKlA7BjjkMl8lAoudZMsZW6R0UkyelywFL1WgdgxwyGWSmM7pBZKpu0EN8MLcfEye94BClypQ\nOwY45DK/T+f0EqUEakrDC3PzMXm+GVi/RnGYZExuUUK1XS6LID3WC3P93CjrhTlrT6GfWiYfTJ73\nAoUtVeATzVneQmTswSG3KaHarl/rbpAdxawm7WdMniefy1vpZFgvUxLDegxwyCOOEoHllj+hhEBN\nCXhh9g4mz5NPeXN5C5EwwCGvkEL+hCcBFpdF8D9emL1DicnzcvvSpBpiLG8hAgY41GxSSGyUQoBF\nnlHihdkflJY8z/e0hMlkeQsmGVOzSCGxkQmq8ma9MDv7Xq6B5cImlwuzvygpeZ7vaYmTyfIWDHCo\nWcRevqEpUgiwqHmUdGH2NyXMcuR7WgZksrwFh6ioWfydP8EEVWXgrDbvkXvyPN/TMiCT5S0Y4FCz\n+Dt/wt8BFnmP3C/MUiLn5Hm+p2VAJstbMMChZvF3YqO/AyzyLjlfmMk7+J6WCRksb8EAh5rF38s3\n+DvAIiLv4ntaRiS+vAWTjKkBk1lA7uFSrNhZgNzDpU0m8/kzsVENCaru/j2I5EwN72lFkfDyFhpB\nEFT3aWk0GmEwGFBWVga9Xu/v5khKc2pP+LMol1JrZij1eZGyeeOzgK99csSd6zcDHAY4Ns4K9lk/\nlqQ+zVRpVU/l/vcgdfJmYKK09zQ1HwOcJjDAachkFjAoc63T6ZnWce8NM25w+QOGH06eE+PvQSQ2\nBuUkNneu30wyJgDerz3B7uXmYS0QkhuuCk9SwyRjAuDd2hMss958rAVCcuPvquaKZDYB+TnA7q8s\n/5pN/m6RrLAHhwB4r/YEv8V5B2uBSBeHXh2TXVBuNkl2ejMAIG+lkxozmZKoMSMHDHAIgPdqT3Bo\nxTtYC0SaOPTqnKyCcqkHD3krL1UJrvfuNxZatt/5sTTaKXEcoiIA3qs9IbtvcRLFWiDSw6HXxslm\nVXhr8HBlcANcDh7yVvqnXVZmkyX4amy50ayZHK5yAQMcsvFGwT5ZfYuTOCWsDK0UXOG6abIIyuUQ\nPBzb2DD4siMAxgLLftQoDlGRneYueMihFe/iApTSwKHXxlnzkqrrzJg6rAuWbDmOIqMEV4V3J3hI\nHOzaMb2dy3PhtHf3UzEGONRAcxY89PfaVErEBSj9j0OvzjnKS4rV6zBtWGckRIdLKyj3dvAgRi5P\nixjv7qdiHKIir+PQCikNh14dc5aXdNpYjdd/PAhdoBZpnaKkEdwA3g0exMrl6TjAEiQ1ls2kb2vZ\njxrFHhwSBYdWSEk49NqQLEtCWIMHYyEc5+FoLLc3FTw0mcujseTydLvZ/eEqbYClB+iLuy3HcdQP\nnvGitKa0SxR7cEg01qGV23q3lda3OCI3ySKB1sdkWdjPGjwAcPqXdCV4EDsROHmkZSq4vl5vtz6e\nU8TdwB4ckjwWViMpsA69Nsg3kUoCrY/JNi/JGjw4zJ150bXgwReJwMkjLT1AUi5GKHEMcEjSWFiN\npIRDr5fJOi+pucGDrxKBtQGuz+aiBhjgkGQ5W5nYWliNCcvkD5zVZiH7vKTmBA/eyuUhUTEHhySJ\nhdWIpE3VeUneyuUhUYka4Jw7dw4TJ06EwWCAwWDAxIkTcf78+UbvIwgC5syZg/j4eISGhuK6667D\n3r177fZ57733cN1110Gv10Oj0TR5TJIfWSYwEqmMqktCMBFY8kQdoho/fjxOnjyJrKwsAMD999+P\niRMnYtWqVU7v89JLL+G1117DRx99hC5duuD555/H8OHDceDAAURERAAAKisrkZGRgYyMDMyaNUvM\np0B+ItsERiKVUXVeEhOBJU20AGffvn3IysrCpk2b0L9/fwDAwoULkZaWhgMHDqBr164N7iMIAl5/\n/XU89dRT+Mtf/gIA+N///oeYmBh89tlneOCBBwAAU6dOBQCsW7dOrOaTn8k6gZFIZVSdl8REYMkS\nbYgqNzcXBoPBFtwAwLXXXguDwYCNGx3XBsjPz0dRURHS09Nt23Q6HYYOHer0Pq6orq6G0Wi0+yFp\nk83KxEREJEmiBThFRUVo06ZNg+1t2rRBUVGR0/sAQEyM/dS6mJgYp/dxxbx582x5QAaDAe3bt/f4\nWOQbqk5gJCKiZnM7wJkzZw40Gk2jP1u3bgUAaDQNLz6CIDjcfqX6t7tyn8bMmjULZWVltp8TJ054\nfCzyHVUnMBIRyZXZBOTnALu/svxrNvmlGW7n4Dz88MO46667Gt0nISEBv//+O06fbljF8cyZMw16\naKxiY2MBWHpy4uIuX7yKi4ud3scVOp0OOp3O4/uT/6g6gZGISG7EWGHdQ24HONHR0YiOjm5yv7S0\nNJSVlWHLli3o168fAGDz5s0oKyvDgAGOix8lJiYiNjYW2dnZ6NOnDwCgpqYG69evR2ZmpsP7kPKp\nOoGR/I5LhRC5yLrCev0KZtYV1n08fV60WVTdu3dHRkYGJk+ejHfffReAZZr4LbfcYjeDqlu3bpg3\nbx5uv/12aDQaTJ06FS+88AI6d+6Mzp0744UXXkBYWBjGjx9vu09RURGKiopw6NAhAMDu3bsRERGB\nDh06oFUrJp0SkXdwqRAiF4m5wrqHRC309+mnn+Kaa65Beno60tPT0bNnT3zyySd2+xw4cABlZWW2\n35988klMnToVDz30EFJTU1FQUIA1a9bYauAAwIIFC9CnTx9MnjwZADBkyBD06dMHK1euFPPpEJGK\nWJcKqV9w0rpUSNaeQj+1jEiCxF5h3QMaQRBUV+veaDTCYDCgrKwMer3e380hIokxmQUMylzrtJq2\ndZ2lDTNu4HAVEWBJKF52X9P7jV4EXDPG44dx5/rNtaiIiOrhUiFEbvLVCutuYIBDRFQPlwohcpN1\nhfXGyrPq2/p0hXUGOERE9XCpECI3SXCFdQY4RET1cKkQIg9IbIV1UVcTJyKSI+tSIQ8u3g4N7Ce+\ncqkQokZIaIV19uAQETnApUKIPGRdYf2aMZZ//RDcAOzBISJyikuFEMkXAxwiokZwqRAieeIQFRER\nESkOAxwiIiJSHA5RqRxXSiYiIiVigKNiXCmZiIiUikNUKsWVkomISMkY4KiQySxg7qo8OFpG3rpt\n7qo8mMyqW2ieiIgUggGOCnGlZCIiUjoGOCrElZKJiEjpmGSsIK7OiOJKyUREHjKbJLHOEjWNAY5C\nuDMjyrpSclFZlcM8HA0s6+1wpWQioivkrQSyZgDGU5e36eOBjEyfr5RNTeMQlQK4OyPKulIycHll\nZCuulExE5EDeSuCLu+2DGwAwFlq25630T7vIKQY4MufpjCiulExE5CKzydJz09gnbdZMy34kGRyi\nkjl3ZkTVXzCQKyUTkb/Iqor6sY0Ne27sCICxwLJf4mCfNYsaxwBH5po7I4orJRORr8muivqF097d\nj3yCQ1QyxxlRRCQnsqyi3iLGu/uRTzDAkTnrjChnHbsaWL4ZcUYUEfmbbKuodxxgmS3V2Cetvq1l\nP5IMBjgyxxlRRCQXsq2irg2wTAUH4PSTNuNF1sORGAY4CsAZUUQkB7Kuop48ErjzY0Bf7/NUH2/Z\nzjo4ksMkY4XgjCgikjrZ5wwmjwS63cxKxjLBAEdBOCOKiKRMEVXUtQGcCi4THKIiIiKfYM4g+RID\nHCIShcksIPdwKVbsLEDu4VLpzYwhv2DOIPkKh6iIyOtkV8iNfIo5g+QLGkEQVPe1ymg0wmAwoKys\nDHq93t/NIVIUayG3+h8s1ksXv6UTkafcuX5ziIqIvEa2hdyISHE4RCUBslp0jqgRzVn81Rm+P4jI\nEwxwfKz+h/W5iho89x1zFUgZvF3Ijbk8ROQpBjg+5OjD2hHronPMVSC58WYhN2e5PHx/EJErmIPj\nI85W0HWEuQokV95a/JW5PETUXAxwfKCxD2tnJLvoHFEjvFXITbaLMhKRZDDA8YGmPqwbI8lF54ga\n4Y1CbrJelJGIJIE5OD7QnA9hyS46R9SI5hZyk9uijJzpRSQ9DHB8wJMPYVksOkfUiPqLv1qXbnAl\nCJDTooyc6UUkTQxwfKCpD+v6uOgcKY27QYA1l+fBxduhAezeN1J6f3CmF5F0MQfHBxpLvHSEi86R\nkjibQWgNArL2FDq8n9QXZeRMLyJpYw+Oj1g/rB19i33m5u6IDNdx/J4Up6kgQANLEDA8Odbha17K\nizKKUbWZiLyHAY4PSfnDmkgM3ggC6ufySAVnehFJGwMcH5PqhzWRGJQcBMhtpheR2jAHh4hEo+Qg\nwFtVm4lIHAxwiEg0Sg4CvFW1mYjEwQCHiESj9CBA6jO9iNRMIwiC6uYwGo1GGAwGlJWVQa/X+7s5\nRIqn9GJ4rGRM5BvuXL8Z4DDAIfIJBgHkDXwdqZs712/OoiIin+AMQmoupfcEkncxB4eIiCTP04rY\npF6iBjjnzp3DxIkTYTAYYDAYMHHiRJw/f77R+wiCgDlz5iA+Ph6hoaG47rrrsHfvXtvtZ8+exT//\n+U907doVYWFh6NChAx555BGUlZWJ+VSIiMhPuCwGeULUAGf8+PHYuXMnsrKykJWVhZ07d2LixImN\n3uell17Ca6+9hrfeegu//fYbYmNjMXz4cJSXlwMATp06hVOnTuGVV17B7t278dFHHyErKwv33Xef\nmE+FyI51ZewVOwuQe7iUH6xEInKnIjaRlWhJxvv27UNycjI2bdqE/v37AwA2bdqEtLQ07N+/H127\ndm1wH0EQEB8fj6lTp2LGjBkAgOrqasTExCAzMxMPPPCAw8f68ssvMWHCBFRUVCAwsOm0IiYZU3Mw\nD4DIt1bsLMCjn+9scr837uqN23q3Fb9B5DfuXL9F68HJzc2FwWCwBTcAcO2118JgMGDjxo0O75Of\nn4+ioiKkp6fbtul0OgwdOtTpfQDYnqiz4Ka6uhpGo9Huh8gTzAMg8j0lV8Qm8YgW4BQVFaFNmzYN\ntrdp0wZFRUVO7wMAMTExdttjYmKc3qe0tBTPPfec094dAJg3b54tD8hgMKB9+/auPg0iG+YBEPmH\nkitik3jcDnDmzJkDjUbT6M/WrVsBABpNw5ejIAgOt1+p/u3O7mM0GnHzzTcjOTkZs2fPdnq8WbNm\noayszPZz4sQJV54qkR3mARD5h9IrYpM43K6D8/DDD+Ouu+5qdJ+EhAT8/vvvOH36dIPbzpw506CH\nxio2NhaApScnLu5yLkNxcXGD+5SXlyMjIwMtWrTA8uXLERQU5LQ9Op0OOp2u0TYTNUXJK2MTSZ11\nWYz6+W+xzH8jJ9wOcKKjoxEdHd3kfmlpaSgrK8OWLVvQr18/AMDmzZtRVlaGAQMGOLxPYmIiYmNj\nkZ2djT59+gAAampqsH79emRmZtr2MxqNGDFiBHQ6HVauXImQEI67kviYB0DkXxk94jA8OZaVjMkl\nolUy7t69OzIyMjB58mS8++67AID7778ft9xyi90Mqm7dumHevHm4/fbbodFoMHXqVLzwwgvo3Lkz\nOnfujBdeeAFhYWEYP348AEvPTXp6OiorK7F48WK7pOHWrVsjICBArKdEKmfNAygqq3KYh6OB5dsk\n8wCIxMOK2OQqUZdq+PTTT/HII4/YZkWNHDkSb731lt0+Bw4csCvS9+STT+LixYt46KGHcO7cOfTv\n3x9r1qxBREQEAGDbtm3YvHkzAOCqq66yO1Z+fj4SEhJEfEakZtY8gAcXb4cGsAtymAdARCQtXGyT\ndXDITayDQ0TkH1xsk0hEzAMgIpI+BjhEHmAeABGRtHE1cSIiIlIcBjhERESkOAxwiIiISHEY4BAR\nEZHiMMAhIiIixWGAQ0RERIrDAIeIiIgUhwEOERERKQ4DHCIiIlIcBjhERESkOAxwiIiISHEY4BAR\nEZHicLFNIrJjMgtcKZ2IZI8BDhHZZO0pxNxVeSgsq7JtizOEYPatycjoEefHlhERuYdDVEQEwBLc\nPLh4u11wAwBFZVV4cPF2ZO0p9FPLiIjcxwCHiGAyC5i7Kg+Cg9us2+auyoPJ7GgPIiLpYYBDRNiS\nf7ZBz82VBACFZVXYkn/Wd40iImoGBjhEhOJy58GNJ/sREfkbAxwiQpuIEK/uR0TkbwxwiAj9Elsh\nzhACZ5PBNbDMpuqX2MqXzSIi8hgDHCJCgFaD2bcmA0CDIMf6++xbk1kPh4hkgwEOEQEAMnrE4Z0J\nfRFrsB+GijWE4J0JfVkHh4hkhYX+iMgmo0cchifHspIxEckeAxwishOg1SCtU5S/m0FE1CwcoiIi\nIiLFYYBDREREisMAh4iIiBSHAQ4REREpDgMcIiIiUhwGOERERKQ4DHCIiIhIcRjgEBERkeIwwCEi\nIiLFUWUlY0EQAABGo9HPLSEiIiJXWa/b1ut4Y1QZ4JSXlwMA2rdv7+eWEBERkbvKy8thMBga3Ucj\nuBIGKYzZbMapU6cQEREBjca7iwgajUa0b98eJ06cgF6v9+qx6TKeZ9/gefYNnmff4bn2DbHOsyAI\nKC8vR3x8PLTaxrNsVNmDo9Vq0a5dO1EfQ6/X883jAzzPvsHz7Bs8z77Dc+0bYpznpnpurJhkTERE\nRIrDAIeIiIgUhwGOl+l0OsyePRs6nc7fTVE0nmff4Hn2DZ5n3+G59g0pnGdVJhkTERGRsrEHh4iI\niBSHAQ4REREpDgMcIiIiUhwGOERERKQ4DHCIiIhIcRjgeGD+/PlITExESEgIUlJSkJOT0+j+69ev\nR0pKCkJCQpCUlIQFCxb4qKXy5s55/vrrrzF8+HC0bt0aer0eaWlp+OGHH3zYWvly9/Vs9euvvyIw\nMBC9e/cWt4EK4e55rq6uxlNPPYWOHTtCp9OhU6dO+OCDD3zUWvly9zx/+umn6NWrF8LCwhAXF4d7\n770XpaWlPmqtPP3yyy+49dZbER8fD41Gg2+++abJ+/jlOiiQWz7//HMhKChIWLhwoZCXlyc8+uij\nQnh4uHDs2DGH+x85ckQICwsTHn30USEvL09YuHChEBQUJHz11Vc+brm8uHueH330USEzM1PYsmWL\n8McffwizZs0SgoKChO3bt/u45fLi7nm2On/+vJCUlCSkp6cLvXr18k1jZcyT8zxy5Eihf//+QnZ2\ntpCfny9s3rxZ+PXXX33Yavlx9zzn5OQIWq1WeOONN4QjR44IOTk5wtVXXy2MGjXKxy2Xl9WrVwtP\nPfWUsGzZMgGAsHz58kb399d1kAGOm/r16ydMmTLFblu3bt2EmTNnOtz/ySefFLp162a37YEHHhCu\nvfZa0dqoBO6eZ0eSk5OFuXPnertpiuLpeR47dqzw9NNPC7Nnz2aA4wJ3z/P3338vGAwGobS01BfN\nUwx3z/PLL78sJCUl2W178803hXbt2onWRqVxJcDx13WQQ1RuqKmpwbZt25Cenm63PT09HRs3bnR4\nn9zc3Ab7jxgxAlu3bkVtba1obZUzT85zfWazGeXl5WjVqpUYTVQET8/zhx9+iMOHD2P27NliN1ER\nPDnPK1euRGpqKl566SW0bdsWXbp0weOPP46LFy/6osmy5Ml5HjBgAE6ePInVq1dDEAScPn0aX331\nFW6++WZfNFk1/HUdVOVq4p4qKSmByWRCTEyM3faYmBgUFRU5vE9RUZHD/evq6lBSUoK4uDjR2itX\nnpzn+l599VVUVFTgzjvvFKOJiuDJeT548CBmzpyJnJwcBAby48MVnpznI0eOYMOGDQgJCcHy5ctR\nUlKChx56CGfPnmUejhOenOcBAwbg008/xdixY1FVVYW6ujqMHDkS//3vf33RZNXw13WQPTge0Gg0\ndr8LgtBgW1P7O9pO9tw9z1ZLlizBnDlzsHTpUrRp00as5imGq+fZZDJh/PjxmDt3Lrp06eKr5imG\nO69ns9kMjUaDTz/9FP369cNNN92E1157DR999BF7cZrgznnOy8vDI488gv/7v//Dtm3bkJWVhfz8\nfEyZMsUXTVUVf1wH+RXMDdHR0QgICGjwbaC4uLhBdGoVGxvrcP/AwEBERUWJ1lY58+Q8Wy1duhT3\n3XcfvvzySwwbNkzMZsqeu+e5vLwcW7duxY4dO/Dwww8DsFyIBUFAYGAg1qxZgxtuuMEnbZcTT17P\ncXFxaNu2LQwGg21b9+7dIQgCTp48ic6dO4vaZjny5DzPmzcPAwcOxBNPPAEA6NmzJ8LDwzF48GA8\n//zz7GH3En9dB9mD44bg4GCkpKQgOzvbbnt2djYGDBjg8D5paWkN9l+zZg1SU1MRFBQkWlvlzJPz\nDFh6bu655x589tlnHEN3gbvnWa/XY/fu3di5c6ftZ8qUKejatSt27tyJ/v37+6rpsuLJ63ngwIE4\ndeoULly4YNv2xx9/QKvVol27dqK2V648Oc+VlZXQau0vgwEBAQAu9zBQ8/ntOihqCrMCWachLlq0\nSMjLyxOmTp0qhIeHC0ePHhUEQRBmzpwpTJw40ba/dXrctGnThLy8PGHRokWcJu4Cd8/zZ599JgQG\nBgpvv/22UFhYaPs5f/68v56CLLh7nuvjLCrXuHuey8vLhXbt2gljxowR9u7dK6xfv17o3Lmz8Pe/\n/91fT0EW3D3PH374oRAYGCjMnz9fOHz4sLBhwwYhNTVV6Nevn7+egiyUl5cLO3bsEHbs2CEAEF57\n7TVhx44dtun4UrkOMsDxwNtvvy107NhRCA4OFvr27SusX7/edtukSZOEoUOH2u2/bt06oU+fPkJw\ncLCQkJAgvPPOOz5usTy5c56HDh0qAGjwM2nSJN83XGbcfT1fiQGO69w9z/v27ROGDRsmhIaGCu3a\ntROmT58uVFZW+rjV8uPueX7zzTeF5ORkITQ0VIiLixP++te/CidPnvRxq+Xl559/bvTzVirXQY0g\nsB+OiIiIlIU5OERERKQ4DHCIiIhIcRjgEBERkeIwwCEiIiLFYYBDREREisMAh4iIiBSHAQ4REREp\nDgMcIiIiUhwGOERERKQ4DHCIiIhIcRjgEBERkeL8P4mtu/cwzM0JAAAAAElFTkSuQmCC\n"
}
}
],
"source": [
"plt.plot(x,y,'o')\n",
"plt.plot(xx,yy,'o')\n",
"plt.plot(x,net(x).data,'--',color='C0') \n",
"plt.plot(xx,net(xx).data,'--',color='C1') \n",
"plt.title(f\"net.training = {net.training}\",fontsize=15)"
],
"id": "88c99bfd-218c-450b-b0a3-285a4e2d4936"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 이게 제대로 된 결과시각화임!\n",
"\n",
"## B. 드랍아웃 레이어"
],
"id": "6d8bb85e-28c9-4c82-9a9b-c12c2b3e6641"
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"u = torch.randn(20).reshape(10,2)\n",
"u"
],
"id": "3cfe9ac8-afcb-45c5-ad6b-17c6914fb335"
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"d = torch.nn.Dropout(0.9)\n",
"d(u)"
],
"id": "ce9c9601-cc3f-4610-a10f-cab102a06fe6"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 90%의 드랍아웃: 드랍아웃층의 입력 중 임의로 90%를 골라서 결과를\n",
" 0으로 만든다. + 그리고 0이 되지않고 살아남은 값들은 10배 만큼 값이\n",
" 커진다.\n",
"\n",
"`-` 드랍아웃레이어 정리\n",
"\n",
"- 구조: 입력 -\\> 드랍아웃레이어 -\\> 출력\n",
"- 역할: (1) 입력의 일부를 임의로 0으로 만드는 역할 (2) 0이 안된것들은\n",
" 스칼라배하여 드랍아웃을 통과한 모든 숫자들의 총합이 일정하게 되도록\n",
" 조정\n",
"- 효과: 오버피팅을 억제하는 효과가 있음 (왜??) \\<– 이거 너무 시간이\n",
" 없어서 대충 설명했는데요.. 잘 이해가 안되시면\n",
" [2023-기계학습활용-11wk-43](https://guebin.github.io/MP2023/posts/11wk-43.html),\n",
" [2023-기계학습활용-12wk-44](https://guebin.github.io/MP2023/posts/12wk-44.html)\n",
" 참고하시면 될 겁니다. 그래도 이해가 안되면 일단은 외우세요. (진짜\n",
" 궁금하시면 따로 물어보세요.. 제가 이걸 설명할 시간이 없을것 같아요..\n",
" 죄송합니다)\n",
"- 의미: each iteration (each epoch x) 마다 학습에 참여하는 노드가\n",
" 랜덤으로 결정됨.\n",
"- 느낌: 모든 노드가 골고루 학습가능 + 한 두개의 특화된 능력치가\n",
" 개발되기 보다 평균적인 능력치가 전반적으로 개선됨\n",
"\n",
"> 오버피팅을 잡는 방법은 드랍아웃만 있는게 아니다..\n",
"\n",
"`-` ReLU + dropout의 특이한 성질"
],
"id": "8af16268-aa59-4a61-8bdd-1f2e3e7a1e0a"
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def my_dropout(x):\n",
" x[:5,[0]] = torch.zeros(5).reshape(-1,1)\n",
" x[5:,[1]] = torch.zeros(5).reshape(-1,1)\n",
" return 2*x\n",
"\n",
"relu = torch.nn.ReLU()\n",
"sig = torch.nn.Sigmoid()"
],
"id": "73410f92-b1d5-42a6-af4b-865c89a768f0"
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"relu(my_dropout(u)), my_dropout(relu(u))"
],
"id": "75c232c6-d754-44c7-a2df-354aa15d121e"
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"sig(my_dropout(u)), my_dropout(sig(u))"
],
"id": "8ac542eb-2aab-4aff-8747-2f01d3e790c0"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> 드랍아웃은 히든레이어사이, 즉 활성화 함수 바로 뒤에 오는게 맞음.\n",
"> 그렇지만 ReLU의 경우 활성화 함수 직전에 취하기도 함.\n",
"\n",
"# 5. 신경망의 표현 (${\\boldsymbol x} \\to \\hat{\\boldsymbol y}$ 로 가는 과정을 그림으로 표현)\n",
"\n",
"## 예제1: $\\underset{(n,1)}{\\bf X} \\overset{l_1}{\\to} \\underset{(n,1)}{\\boldsymbol u^{(1)}} \\overset{sig}{\\to} \\underset{(n,1)}{\\boldsymbol v^{(1)}} =\\underset{(n,1)}{\\hat{\\boldsymbol y}}$\n",
"\n",
"`-` 모든 observation과 가중치를 명시한 버전\n",
"\n",
"**(표현1)**\n",
"\n",
"\n",
"\n",
"- 단점: 똑같은 그림의 반복이 너무 많음\n",
"\n",
"`-` observation 반복을 생략한 버전들\n",
"\n",
"**(표현2)** 모든 $i$에 대하여 아래의 그림을 반복한다고 하면 (표현1)과\n",
"같다.\n",
"\n",
"\n",
"\n",
"**(표현3)** 그런데 (표현2)에서 아래와 같이 $x_i$, $y_i$ 대신에 간단히\n",
"$x$, $y$로 쓰는 경우도 많음\n",
"\n",
"\n",
"\n",
"`-` 1을 생략한 버전들\n",
"\n",
"**(표현4)** bais=False 대신에 bias=True를 주면 1을 생략할 수 있음\n",
"\n",
"\n",
"\n",
"**(표현4의 수정)** $\\hat{w}_1$대신에 $\\hat{w}$를 쓰는 것이 더 자연스러움\n",
"\n",
"\n",
"\n",
"**(표현5)** 선형변환의 결과는 아래와 같이 $u$로 표현하기도 한다.\n",
"\n",
"\n",
"\n",
"> 다이어그램은 그리는 사람의 취향에 따라 그리는 방법이 조금씩 다릅니다.\n",
"> 즉 교재마다 달라요.\n",
"\n",
"## 예제2: $\\underset{(n,1)}{\\bf X} \\overset{l_1}{\\to} \\underset{(n,2)}{\\boldsymbol u^{(1)}} \\overset{relu}{\\to} \\underset{(n,2)}{\\boldsymbol v^{(1)}} \\overset{l_2}{\\to} \\underset{(n,1)}{\\boldsymbol u^{(2)}} \\overset{sig}{\\to} \\underset{(n,1)}{\\boldsymbol v^{(2)}} =\\underset{(n,1)}{\\hat{\\boldsymbol y}}$\n",
"\n",
"**참고: 코드로 표현**\n",
"\n",
"``` python\n",
"torch.nn.Sequential(\n",
" torch.nn.Linear(in_features=1,out_features=2),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(in_features=2,out_features=1),\n",
" torch.nn.Sigmoid()\n",
")\n",
"```\n",
"\n",
"`-` 이해를 위해서 03kw-2에서 다루었던 아래의 상황을 고려하자.\n",
"\n",
"\n",
"\n",
"**(강의노트의 표현)**\n",
"\n",
"\n",
"\n",
"**(좀 더 일반화된 표현)** 상황을 일반화하면 아래와 같다.\n",
"\n",
"\n",
"\n",
"`*` Layer의 개념: ${\\bf X}$에서 $\\hat{\\boldsymbol y}$로 가는 과정은\n",
"“선형변환+비선형변환”이 반복되는 구조이다. “선형변환+비선형변환”을\n",
"하나의 세트로 보면 아래와 같이 표현할 수 있다.\n",
"\n",
"- $\\underset{(n,1)}{\\bf X} \\overset{l_1}{\\to} \\left( \\underset{(n,2)}{\\boldsymbol u^{(1)}} \\overset{relu}{\\to} \\underset{(n,2)}{\\boldsymbol v^{(1)}} \\right) \\overset{l_2}{\\to} \\left(\\underset{(n,1)}{\\boldsymbol u^{(2)}} \\overset{sig}{\\to} \\underset{(n,1)}{\\boldsymbol v^{(2)}}\\right), \\quad \\underset{(n,1)}{\\boldsymbol v^{(2)}}=\\underset{(n,1)}{net({\\bf X})}=\\underset{(n,1)}{\\hat{\\boldsymbol y}}$\n",
"\n",
"이것을 다이어그램으로 표현한다면 아래와 같다.\n",
"\n",
"**(선형+비선형을 하나의 Layer로 묶은 표현)**\n",
"\n",
"\n",
"\n",
"***Layer를 세는 방법***\n",
"\n",
"- 제 방식: 학습가능한 파라메터가 몇층으로 있는지… \\<– 이것만\n",
" 기억하세여\n",
"- 일부 교재 설명: 입력층은 계산하지 않음, activation layer는 계산하지\n",
" 않음. \\<– 무시하세요.. 이러면 헷갈립니다..\n",
"- 위의 예제의 경우 `number of layer = 2` 이다.\n",
"\n",
"***Hidden Layer의 수를 세는 방법***\n",
"\n",
"- 제 방식: `Hidden Layer의 수 = Layer의 수 -1` \\<– 이걸 기억하세여.. \n",
"- 일부 교재 설명:\n",
" `Layer의 수 = Hidden Layer의 수 + 출력층의 수 = Hidden Layer의 수 + 1`\n",
" \\<– 기억하지 마세여\n",
"- 위의 예제의 경우 `number of hidden layer = 1` 이다.\n",
"\n",
"> **Important**\n",
">\n",
"> 무조건 학습가능한 파라메터가 몇겹으로 있는지만 판단하세요. 딴거\n",
"> 아무것도 생각하지마세여\n",
">\n",
"> ``` python\n",
"> ## 예시1 -- 2층 (히든레이어는 1층)\n",
"> torch.nn.Sequential(\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층\n",
"> torch.nn.ReLU(),\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층\n",
"> )\n",
"> ```\n",
">\n",
"> ``` python\n",
"> ## 예시2 -- 2층 (히든레이어는 1층)\n",
"> torch.nn.Sequential(\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층\n",
"> torch.nn.ReLU(),\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층\n",
"> torch.nn.Sigmoid(),\n",
"> )\n",
"> ```\n",
">\n",
"> ``` python\n",
"> ## 예시3 -- 1층 (히든레이어는 없음!!)\n",
"> torch.nn.Sequential(\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층\n",
"> ) \n",
"> ```\n",
">\n",
"> ``` python\n",
"> ## 예시4 -- 1층 (히든레이어는 없음!!)\n",
"> torch.nn.Sequential(\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층\n",
"> torch.nn.Sigmoid()\n",
"> ) \n",
"> ```\n",
">\n",
"> ``` python\n",
"> ## 예시5 -- 3층 (히든레이어는 2층)\n",
"> torch.nn.Sequential(\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층\n",
"> torch.nn.Sigmoid()\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층\n",
"> torch.nn.Sigmoid()\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층 \n",
"> ) \n",
"> ```\n",
">\n",
"> ``` python\n",
"> ## 예시6 -- 3층 (히든레이어는 2층)\n",
"> torch.nn.Sequential(\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층\n",
"> torch.nn.ReLU()\n",
"> torch.nn.Dropout(??)\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층\n",
"> torch.nn.ReLU()\n",
"> torch.nn.Dropout(??)\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층 \n",
"> torch.nn.Sigmoid()\n",
"> ) \n",
"> ```\n",
"\n",
"> **Important**\n",
">\n",
"> 문헌에 따라서 레이어를 세는 개념이 제가 설명한 방식과 다른경우가\n",
"> 있습니다. 제가 설명한 방식보다 1씩 더해서 셉니다. 즉 아래의 경우\n",
"> 레이어를 3개로 카운트합니다.\n",
">\n",
"> ``` python\n",
"> ## 예시1 -- 문헌에 따라 3층으로 세는 경우가 있음 (히든레이어는 1층)\n",
"> torch.nn.Sequential(\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층\n",
"> torch.nn.ReLU(),\n",
"> torch.nn.Linear(??,??), ## <-- 학습해야할 가중치가 있는 층\n",
"> torch.nn.Sigmoid()\n",
"> )\n",
"> ```\n",
">\n",
"> 예를 들어\n",
"> [여기](https://en.wikipedia.org/wiki/Multilayer_perceptron#Layers)에서는\n",
"> 위의 경우 레이어는 3개라고 설명하고 있습니다. 이러한 카운팅은\n",
"> **“무시”하세요. 제가 설명한 방식이 맞아요.** [이\n",
"> 링크](https://en.wikipedia.org/wiki/Multilayer_perceptron#Layers)\n",
"> 잘못(?) 나와있는 이유는 아래와 같습니다.\n",
">\n",
"> `-` 진짜 예전에 MLP를 소개할 초창기에서는 위의 경우 Layer를 3개로\n",
"> 셌음. (Rosenblatt et al. 1962)\n",
">\n",
"> `-` 그런데 요즘은 그렇게 안셈.. (그리고 애초에 MLP라는 용어도 잘\n",
"> 안쓰죠..)\n",
">\n",
"> 참고로 히든레이어의 수는 예전방식이나 지금방식이나 동일하게\n",
"> 카운트하므로 히든레이어만 세면 혼돈이 없습니다.\n",
"\n",
"`*` node의 개념: $u\\to v$로 가는 쌍을 간단히 노드라는 개념을 이용하여\n",
"나타낼 수 있음.\n",
"\n",
"**(노드의 개념이 포함된 그림)**\n",
"\n",
"\n",
"\n",
"여기에서 `node의 숫자 = feature의 숫자`와 같이 이해할 수 있다. 즉 아래와\n",
"같이 이해할 수 있다.\n",
"\n",
"**(“number of nodes = number of features”로 이해한 그림)**\n",
"\n",
"\n",
"\n",
"> 다이어그램의 표현방식은 교재마다 달라서 모든 예시를 달달 외울 필요는\n",
"> 없습니다. 다만 임의의 다이어그램을 보고 대응하는 네트워크를 pytorch로\n",
"> 구현하는 능력은 매우 중요합니다.\n",
"\n",
"## 예제3: $\\underset{(n,784)}{\\bf X} \\overset{l_1}{\\to} \\underset{(n,32)}{\\boldsymbol u^{(1)}} \\overset{relu}{\\to} \\underset{(n,32)}{\\boldsymbol v^{(1)}} \\overset{l_1}{\\to} \\underset{(n,1)}{\\boldsymbol u^{(2)}} \\overset{sig}{\\to} \\underset{(n,1)}{\\boldsymbol v^{(2)}}=\\underset{(n,1)}{\\hat{\\boldsymbol y}}$\n",
"\n",
"**(다이어그램표현)**\n",
"\n",
"\n",
"\n",
"- Layer0,1,2 대신에 Input Layer, Hidden Layer, Output Layer로 표현함\n",
"\n",
"`-` 위의 다이어그램에 대응하는 코드\n",
"\n",
"``` python\n",
"net = torch.nn.Sequential(\n",
" torch.nn.Linear(in_features=28*28*1,out_features=32),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(in_features=32,out_features=1),\n",
" torch.nn.Sigmoid() \n",
")\n",
"```\n",
"\n",
"# 6. 숙제 – 나 혼자 내고 나 혼자 품..\n",
"\n",
"아래의 아키텍처를 가지는 네트워크를 파이토치코드로 선언하라.\n",
"\n",
"\n",
"
\n",
"출처: https://aws.amazon.com/ko/what-is/deep-learning/\n",
""
],
"id": "d5938bdf-52b5-44aa-b4b6-7f7b35607da0"
},
{
"cell_type": "code",
"execution_count": 132,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"net = torch.nn.Sequential(\n",
" torch.nn.Linear(784,128),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(128,64),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(64,10),\n",
" #torch.nn.Softmax()\n",
")\n",
"loss_fn = torch.nn.CrossEntropyLoss() # <- 이 로스에 torch.nn.Softmax() 가 사실 포함되어있음.."
],
"id": "4f40a02f-d997-40fa-b751-4971e01b85b6"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Cybenko, George. 1989. “Approximation by Superpositions of a Sigmoidal\n",
"Function.” *Mathematics of Control, Signals and Systems* 2 (4): 303–14.\n",
"\n",
"Rosenblatt, Frank et al. 1962. *Principles of Neurodynamics: Perceptrons\n",
"and the Theory of Brain Mechanisms*. Vol. 55. Spartan books Washington,\n",
"DC."
],
"id": "8354d73b-5dd8-4776-9059-bb3161f212c5"
}
],
"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"
}
}
}