{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 04wk-1: 깊은 신경망 (2) – 꺽인그래프의 한계(?), 시벤코정리, MNIST\n",
"\n",
"최규빈 \n",
"2024-03-25\n",
"\n",
"![](\"https://colab.research.google.com/assets/colab-badge.svg\")
\n",
"\n",
"# 1. 강의영상\n",
"\n",
"\n",
"\n",
"# 2. Imports"
],
"id": "e292357f-1a09-47a4-b726-75c64aedbf56"
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import torch\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"# import torchvision\n",
"# import fastai.data.all "
],
"id": "aa01caab-3fbc-4508-a78d-f2825c6821b2"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3. 꺽인그래프의 한계?\n",
"\n",
"`-` 걱정: 지난시간에 배운 기술은 sig를 취하기 전이 꺽은선인 형태만\n",
"가능할 듯 하다. 그래서 이 역시 표현력이 부족할 듯 하다.\n",
"\n",
"`-` 그런데 생각보다 표현력이 풍부한 편이다. 즉 생각보다 쓸 만하다.\n",
"\n",
"## A. Step은 표현 불가능하지 않나?\n",
"\n",
"`-` 맞춰봐"
],
"id": "acda79f6-bf99-460f-9151-2e152d52cadb"
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"torch.manual_seed(43052)\n",
"x = torch.linspace(-1,1,2000).reshape(-1,1)\n",
"u = 0*x-3\n",
"u[x<-0.2] = (15*x+6)[x<-0.2]\n",
"u[(-0.2 **Universal Approximation Thm (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(),\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. 쉽게 말하면\n",
"> ${\\bf X} \\to {\\bf y}$ 인 어떠한 복잡한 규칙라도 하나의 은닉층을 가진\n",
"> 신경망이 원하는 정확도로 근사시킨다는 의미이다. 예를들면 아래와 같은\n",
"> 문제를 해결할 수 있다.\n",
">\n",
"> - ${\\bf X}$는 토익점수, GPA, 공모전참가여부, ${\\bf y}$는 취업여부일\n",
"> 경우 ${\\bf X} \\to {\\bf y}$인 규칙을 심층신경망은 항상 찾을 수\n",
"> 있다.\n",
"> - ${\\bf X}$는 주택이미지, 지역정보, 주택면적, 주택에 대한 설명\n",
"> ${\\bf y}$는 주택가격일 경우 ${\\bf X} \\to {\\bf y}$인 규칙을\n",
"> 심층신경망은 항상 찾을 수 있다.\n",
">\n",
"> 즉 하나의 은닉층을 가진 신경망의 표현력은 무한대라 볼 수 있다.\n",
"\n",
"## B. 왜 가능한가?\n",
"\n",
"`-` 데이터"
],
"id": "51ea1fb8-f3d6-4df3-993e-341ef65b1b74"
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"x = torch.linspace(-10,10,200).reshape(-1,1)"
],
"id": "4115767c-8769-4bf5-aee8-ff966f775e8c"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` 아래와 같은 네트워크를 고려하자. (스펙올라도 취업못하는 예제에서\n",
"썼던 네크워크랑 비슷해요)"
],
"id": "a8038b0c-4465-4863-b853-e04b3603e8af"
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"l1 = torch.nn.Linear(in_features=1,out_features=2)\n",
"a1 = torch.nn.Sigmoid()\n",
"l2 = torch.nn.Linear(in_features=2,out_features=1)"
],
"id": "4c0ffe52-de32-4018-b737-28ad38055fda"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` 직관1: $l_1$,$l_2$의 가중치를 잘 결합하다보면 우연히 아래와 같이\n",
"만들 수 있다."
],
"id": "4361883f-c0cd-48ac-97c4-dfc27f20cfa3"
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"l1.weight.data = torch.tensor([[-5.00],[5.00]])\n",
"l1.bias.data = torch.tensor([+10.00,+10.00])"
],
"id": "106c8a26-baa1-4db5-b369-4909a67ff964"
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"l2.weight.data = torch.tensor([[1.00,1.00]])\n",
"l2.bias.data = torch.tensor([-1.00])"
],
"id": "a7525e1d-ce76-41bb-a07b-a037a7c261b1"
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"outputId": "5c41ab44-f436-4964-cb50-22fdc47932d1",
"tags": []
},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"<>:8: SyntaxWarning: invalid escape sequence '\\c'\n",
"<>:11: SyntaxWarning: invalid escape sequence '\\c'\n",
"<>:8: SyntaxWarning: invalid escape sequence '\\c'\n",
"<>:11: SyntaxWarning: invalid escape sequence '\\c'\n",
"/tmp/ipykernel_31460/3092854458.py:8: SyntaxWarning: invalid escape sequence '\\c'\n",
" ax[1].set_title('$(a_1 \\circ l_1)(x)$')\n",
"/tmp/ipykernel_31460/3092854458.py:11: SyntaxWarning: invalid escape sequence '\\c'\n",
" ax[2].set_title('$(l_2 \\circ a_1 \\circ \\l_1)(x)$')"
]
},
{
"output_type": "display_data",
"metadata": {},
"data": {
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g25XzFKXwOuaep+LWufMpShEbKbSklG0UtZ3C+7lzG0Xs9851itqRFfd7jzGGmTn/phoF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\n"
}
}
],
"source": [
"fig,ax = plt.subplots(1,3,figsize=(9,3))\n",
"ax[0].plot(x,l1(x)[:,[0]].data,label=r\"$-5x+10$\")\n",
"ax[0].plot(x,l1(x)[:,[1]].data,label=r\"$5x+10$\")\n",
"ax[0].set_title('$l_1(x)$')\n",
"ax[0].legend()\n",
"ax[1].plot(x,a1(l1(x))[:,[0]].data,label=r\"$v_1=sig(-5x+10)$\")\n",
"ax[1].plot(x,a1(l1(x))[:,[1]].data,label=r\"$v_2=sig(5x+10)$\")\n",
"ax[1].set_title('$(a_1 \\circ l_1)(x)$')\n",
"ax[1].legend()\n",
"ax[2].plot(x,l2(a1(l1(x))).data,color='C2',label=r\"$v_1+v_2-1$\")\n",
"ax[2].set_title('$(l_2 \\circ a_1 \\circ \\l_1)(x)$')\n",
"ax[2].legend()"
],
"id": "653f221c-4d7f-41e1-882e-975ee5030dd6"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` 직관2: 아래들도 가능할듯?"
],
"id": "5dec7752-fb31-44e8-ba08-d1e47ebd276f"
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"outputId": "ac57530f-141b-4a8a-8198-13f560c5a03d",
"tags": []
},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"<>:7: SyntaxWarning: invalid escape sequence '\\c'\n",
"<>:8: SyntaxWarning: invalid escape sequence '\\c'\n",
"<>:7: SyntaxWarning: invalid escape sequence '\\c'\n",
"<>:8: SyntaxWarning: invalid escape sequence '\\c'\n",
"/tmp/ipykernel_31460/3368460049.py:7: SyntaxWarning: invalid escape sequence '\\c'\n",
" ax[1].plot(x,a1(l1(x)).data.numpy(),'--',color='C0'); ax[1].set_title('$(a_1 \\circ l_1)(x)$')\n",
"/tmp/ipykernel_31460/3368460049.py:8: SyntaxWarning: invalid escape sequence '\\c'\n",
" ax[2].plot(x,l2(a1(l1(x))).data,'--',color='C0'); ax[2].set_title('$(l_2 \\circ a_1 \\circ \\l_1)(x)$');"
]
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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aumPrtO5wtrPBmfQHGLXmOHKK6YZGUjeNlkVBqQoKmQSbJndD3xBPrkOyqBUr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\nEEIIIQL2/1U7gtFrb1lDAAAAAElFTkSuQmCC\n"
}
}
],
"source": [
"l1.weight.data = torch.tensor([[-5.00],[5.00]])\n",
"l1.bias.data = torch.tensor([+0.00,+20.00])\n",
"l2.weight.data = torch.tensor([[1.00,1.00]])\n",
"l2.bias.data = torch.tensor([-1.00])\n",
"fig,ax = plt.subplots(1,3,figsize=(9,3))\n",
"ax[0].plot(x,l1(x).data.numpy(),'--',color='C0'); ax[0].set_title('$l_1(x)$')\n",
"ax[1].plot(x,a1(l1(x)).data.numpy(),'--',color='C0'); ax[1].set_title('$(a_1 \\circ l_1)(x)$')\n",
"ax[2].plot(x,l2(a1(l1(x))).data,'--',color='C0'); ax[2].set_title('$(l_2 \\circ a_1 \\circ \\l_1)(x)$');\n",
"ax[2].set_ylim(-0.1,2.6)"
],
"id": "f5e9d663-3483-44f2-ae9f-d1351251b699"
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"outputId": "e2307b59-0b77-445c-cb76-45e10cab4489",
"tags": []
},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"<>:7: SyntaxWarning: invalid escape sequence '\\c'\n",
"<>:8: SyntaxWarning: invalid escape sequence '\\c'\n",
"<>:7: SyntaxWarning: invalid escape sequence '\\c'\n",
"<>:8: SyntaxWarning: invalid escape sequence '\\c'\n",
"/tmp/ipykernel_31460/2330299143.py:7: SyntaxWarning: invalid escape sequence '\\c'\n",
" ax[1].plot(x,a1(l1(x)).data.numpy(),'--',color='C1'); ax[1].set_title('$(a_1 \\circ l_1)(x)$')\n",
"/tmp/ipykernel_31460/2330299143.py:8: SyntaxWarning: invalid escape sequence '\\c'\n",
" ax[2].plot(x,l2(a1(l1(x))).data,'--',color='C1'); ax[2].set_title('$(l_2 \\circ a_1 \\circ \\l_1)(x)$');"
]
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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ep8Z3jf8NVr+gd0SirDi4GlaPkAuvhWOkJKp7s6/qVuhocb+qa5JSrjl+3UKU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\nJyYJvRBCCCGEEE7s/wFSkbwTYOc2wgAAAABJRU5ErkJggg==\n"
}
}
],
"source": [
"l1.weight.data = torch.tensor([[-5.00],[5.00]])\n",
"l1.bias.data = torch.tensor([+20.00,+00.00])\n",
"l2.weight.data = torch.tensor([[2.50,2.50]])\n",
"l2.bias.data = torch.tensor([-2.50])\n",
"fig,ax = plt.subplots(1,3,figsize=(9,3))\n",
"ax[0].plot(x,l1(x).data.numpy(),'--',color='C1'); ax[0].set_title('$l_1(x)$')\n",
"ax[1].plot(x,a1(l1(x)).data.numpy(),'--',color='C1'); ax[1].set_title('$(a_1 \\circ l_1)(x)$')\n",
"ax[2].plot(x,l2(a1(l1(x))).data,'--',color='C1'); ax[2].set_title('$(l_2 \\circ a_1 \\circ \\l_1)(x)$');\n",
"ax[2].set_ylim(-0.1,2.6)"
],
"id": "0636a6de-a70f-48a5-8af4-eb4a27d18f90"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` 직관3: `은닉층의노드수=4`로 하고 적당한 가중치를 조정하면\n",
"$(l_2\\circ a_1 \\circ l_1)(x)$의 결과로 주황색선 + 파란색선도 가능할 것\n",
"같다. $\\to$ 실제로 가능함"
],
"id": "581f1b11-6524-46c8-865e-c68bf14c661d"
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"l1 = torch.nn.Linear(in_features=1,out_features=4)\n",
"a1 = torch.nn.Sigmoid()\n",
"l2 = torch.nn.Linear(in_features=4,out_features=1)"
],
"id": "4c03911e-23f6-4b43-a328-8a92d4ab9619"
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"l1.weight.data = torch.tensor([[-5.00],[5.00],[-5.00],[5.00]])\n",
"l1.bias.data = torch.tensor([0.00, 20.00, 20.00, 0])\n",
"l2.weight.data = torch.tensor([[1.00, 1.00, 2.50, 2.50]])\n",
"l2.bias.data = torch.tensor([-1.0-2.5])"
],
"id": "222669f7-33ba-47bb-91e0-a1f284c94814"
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"outputId": "d2bdf106-045a-415d-9ea7-ba200f179b1b",
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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4DirOGelxB8tMqG20YVTfSITpODJPytRrE1gzMzORmJiIWbNmYfPmze22tVgs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\n"
}
}
],
"source": [
"plt.plot(l2(a1(l1(x))).data,'--')\n",
"plt.title(r\"$(l_2 \\circ a_1 \\circ l_1)(x)$\")"
],
"id": "9c17fd18-259d-4b20-ba61-21bf0200eeab"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> 이러한 함수는 계단모양이며, 0을 제외한 서로다른 계단의 높이는 2개가\n",
"> 된다. 이를 간단히 “2단계-계단함수”라고 칭하자.\n",
"\n",
"`-` 정리1: 2개의 시그모이드를 우연히 잘 결합하면 아래와 같은\n",
"“1단계-계단함수” 함수 $h$를 만들 수 있다."
],
"id": "5981d6c4-1700-46b2-95c6-a5ea4829e87b"
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"h = lambda x: torch.sigmoid(200*(x+0.5))+torch.sigmoid(-200*(x-0.5))-1.0"
],
"id": "c873fec8-95bc-4377-bf04-d1d43527de0f"
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"outputId": "22026c5e-c845-4611-db68-bd3c35bc57cc",
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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EzcDqxaq9Ec4DoOMjjACwJhgSvHiTRmpcwOpN+wDigzACwJ4TIcGLN2mkhhlY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\njAAAgLgijAAAgLj6/80O2gel+iOgAAAAAElFTkSuQmCC\n"
}
}
],
"source": [
"plt.plot(x,h(x))\n",
"plt.title(\"$h(x)$\")"
],
"id": "fff5f8d2-9158-491d-8d8b-658a6bc184e8"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` 정리2: 위와 같은 함수 $h$를 활성화함수로 하고 $m$개의 노드를 가지는\n",
"은닉층을 생각해보자. 이러한 은닉층을 사용한다면 “m단계-계단함수”와 같은\n",
"형태의 네트워크는 아래와 같이 $m$개의 은닉노드를 써서 항상 표현할 수\n",
"있다.\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",
"\n",
"그리고 위의 네트워크와 동일한 효과를 주는 아래의 네트워크가 항상 존재함.\n",
"\n",
"$$\\underset{(n,1)}{\\bf X} \\overset{l_1}{\\to} \\underset{(n,2m)}{\\boldsymbol u^{(1)}} \\overset{sig}{\\to} \\underset{(n,2m)}{\\boldsymbol v^{(1)}} \\overset{l_2}{\\to} \\underset{(n,1)}{\\hat{\\boldsymbol y}}$$\n",
"\n",
"`-` 직관4: 그런데 어떠한 함수형태라도 구불구불한 “m단계-계단함수”로 다\n",
"근사할 수 있지 않나?\n",
"\n",
"## C. $h$의 위력\n",
"\n",
"`-` $h(x)$를 생성하는 클래스를 만들어보자."
],
"id": "4ee1a4e0-0ccf-488f-a3e7-fac9cdca9f59"
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"class MyActivation(torch.nn.Module): ## 사용자정의 활성화함수를 선언하는 방법\n",
" def __init__(self):\n",
" super().__init__()\n",
" def forward(self, u):\n",
" h = lambda x: torch.sigmoid(200*(x+0.5))+torch.sigmoid(-200*(x-0.5))-1.0\n",
" v = h(u)\n",
" return v # activation 의 출력"
],
"id": "0621cd71-a43d-4dfa-b9da-e9222cb51323"
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"a1 = MyActivation()\n",
"# a1 = torch.nn.Sigmoid(), a1 = torch.nn.ReLU() 대신에 a1 = MyActivation()"
],
"id": "9c333329-32cc-4f9f-9216-a334c30f9559"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` 아래와 같이 하나의 은닉층을 가지고 있더라도 많은 노드수만 보장되면\n",
"매우 충분한 표현력을 가짐\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",
"\n",
"`-` $h$의 위력\n",
"\n",
"**예제1** – 스펙높아도 취업이 안된다고??"
],
"id": "f240ef2d-e247-4bca-b8c0-65c384de6d0f"
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"df = pd.read_csv(\"https://raw.githubusercontent.com/guebin/DL2024/main/posts/dnnex.csv\")\n",
"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": "9061e69a-71bf-4e3c-b4c9-2849ea14a26f"
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"torch.manual_seed(43052)\n",
"class MyActivation(torch.nn.Module):\n",
" def __init__(self):\n",
" super().__init__()\n",
" def forward(self, u):\n",
" h = lambda x: torch.sigmoid(200*(x+0.5))+torch.sigmoid(-200*(x-0.5))-1.0\n",
" v = h(u)\n",
" return v\n",
"#---#\n",
"net = torch.nn.Sequential(\n",
" torch.nn.Linear(1,2048),\n",
" MyActivation(),\n",
" torch.nn.Linear(2048,1),\n",
" torch.nn.Sigmoid()\n",
")\n",
"loss_fn = torch.nn.BCELoss()\n",
"optimizr = torch.optim.Adam(net.parameters())\n",
"#---#\n",
"for epoc in range(100):\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": "607fcb0d-74ea-4f19-8e7d-a293b3c95793"
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"outputId": "770da565-c059-4e58-9d97-6fd69fcaac73",
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
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25GwgoAK0jG/Ju+e8S99Gfavs2MmO5FBikF2Uzd7CvWQVZvHSspe4c/ad+Awf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\nlzV7nDhdtS+7/DO8Xm+kQzilLF68mM2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OJ++++265ZarqNSqEOAmzn4b5L0BSW/jHEjDV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\nCMMwDMMwGYWdEYZhGIZhMsr/AxbB2wlZMwsDAAAAAElFTkSuQmCC\n"
}
}
],
"source": [
"plt.plot(x,y,'o',alpha=0.2, label=\"observed data (with error)\")\n",
"plt.plot(x,prob,'--', label=\"prob (true, unknown)\")\n",
"plt.plot(x,net(x).data,'--',label=\"prob (estimated)\")\n",
"plt.legend()"
],
"id": "666b3106-f7de-45e2-9921-8b9d95c6185b"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**예제2** – 수능에 나왔다던 이상한 곡선..?"
],
"id": "f5d43d1c-a5a2-4820-90f7-1a22849fddc0"
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"torch.manual_seed(43052)\n",
"x = torch.linspace(0,2,2000).reshape(-1,1)\n",
"eps = torch.randn(2000).reshape(-1,1)*0.05\n",
"fx = torch.exp(-1*x)* torch.abs(torch.cos(3*x))*(torch.sin(3*x))\n",
"y = fx + eps"
],
"id": "70503c55-d689-4b36-b63d-60f1347db07e"
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"torch.manual_seed(43052)\n",
"class MyActivation(torch.nn.Module):\n",
" def __init__(self):\n",
" super().__init__()\n",
" def forward(self, u):\n",
" h = lambda x: torch.sigmoid(200*(x+0.5))+torch.sigmoid(-200*(x-0.5))-1.0\n",
" v = h(u)\n",
" return v\n",
"#---#\n",
"net = torch.nn.Sequential(\n",
" torch.nn.Linear(1,2048),\n",
" MyActivation(),\n",
" torch.nn.Linear(2048,1),\n",
")\n",
"loss_fn = torch.nn.MSELoss()\n",
"optimizr = torch.optim.Adam(net.parameters())\n",
"#---#\n",
"for epoc in range(100):\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": "9f71f731-0fe0-462d-9e0e-1246885c267f"
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"outputId": "16ee3e97-d6dc-4f5d-c7f2-bbb6eec6371f",
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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4HUtPT2f37t0cOnSIoqIir7t1Jk6cSGFhIc888wzHjh3jP//5D998841bm0WL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cvjxB38APa+TmT2Wj4cPJ3/lv3K46NfR6tsW7sRD5fv/f/27jw+quruH/jnznpnvVkmM9kXCCTs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\nCCGEiAoFL4QQQggRFQpeCCGEECIq/wdK3/YNA1TCggAAAABJRU5ErkJggg==\n"
}
}
],
"source": [
"plt.plot(x,y,alpha=0.2,label=\"observed data (with error)\")\n",
"plt.plot(x,fx,'--',label=\"underlying (true, unknown)\")\n",
"plt.plot(x,net(x).data,'--',label=\"underlying (estimated)\")\n",
"plt.legend()"
],
"id": "e6009dba-b741-4c83-969d-407618dbb883"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## D. 의문점\n",
"\n",
"`-` 이 수업을 잘 이해한 사람: 그냥 활성화함수를 $h$로 쓰면 끝 아니야?\n",
"뭐하러 relu 를 쓰는거지?\n",
"\n",
"`-` 딥러닝을 좀 공부해본사람1: 왜 딥러닝이 2010년이 지나서야 떳지?\n",
"1989년에 세상의 모든 문제가 풀려야 하는것 아닌가?\n",
"\n",
"`-` 딥러닝을 좀 공부해본사람2: 하나의 은닉층을 표현하는 네크워크는 잘\n",
"안쓰지 않나? 은닉층이 많을수록 좋다고 들었는데?\n",
"\n",
"`-` 약간의 의구심이 있지만 아무튼 우리는 아래의 무기를 가진 꼴이 되었다.\n",
"\n",
"> **우리의 무기**\n",
">\n",
"> 하나의 은닉층을 가지는 아래와 같은 꼴의 네트워크로,\n",
">\n",
"> ``` python\n",
"> net = torch.nn.Sequential(\n",
"> torch.nn.Linear(p,???),\n",
"> torch.nn.Sigmoid(),\n",
"> torch.nn.Linear(???,q)\n",
"> )\n",
"> ```\n",
">\n",
"> $f: {\\bf X}_{n \\times p} \\to {\\bf y}_{n\\times q}$ 인 모든 continuous\n",
"> mapping $f$ 을 원하는 정확도로 “근사”시킬 수 있다.\n",
"\n",
"# 5. MNIST 해결\n",
"\n",
"## A. 데이터 다운로드"
],
"id": "45ef7e82-1d74-4aa7-b1ed-96a2499c502f"
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import fastai.data.all"
],
"id": "13e399e1-be80-4571-b07f-832d208881b2"
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"outputId": "aca0aa31-740b-4582-944b-f46ac387caa3",
"tags": []
},
"outputs": [],
"source": [
"fastai.data.external.untar_data('https://s3.amazonaws.com/fast-ai-imageclas/mnist_png.tgz')"
],
"id": "f2f90f6c-4035-4bd6-9c40-e9ed6053eb63"
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"outputId": "e4124ba5-c556-4f4a-a548-83d4bcbfd6aa",
"tags": []
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"testing training"
]
}
],
"source": [
"!ls '/root/.fastai/data/mnist_png'"
],
"id": "3f33cb6e-8732-4a29-be67-a2bc026c09f4"
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"outputId": "f9625f47-a36d-4937-d1e6-8e0d8b54e71a",
"tags": []
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"0 1 2 3 4 5 6 7 8 9"
]
}
],
"source": [
"!ls '/root/.fastai/data/mnist_png/training/'"
],
"id": "9090ed65-0e02-4c42-a99c-adeaf8d4ef47"
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"outputId": "fc9ca7bc-7e64-4c74-d11b-404f25ee6410",
"tags": []
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"10.png\n",
"10000.png\n",
"10011.png\n",
"10031.png\n",
"10034.png\n",
"10042.png\n",
"10052.png\n",
"1007.png\n",
"10074.png\n",
"10091.png\n",
"ls: write error: Broken pipe"
]
}
],
"source": [
"!ls '/root/.fastai/data/mnist_png/training/3' | head"
],
"id": "b6b17101-d5b9-49d8-b832-928ad9e4d166"
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import torchvision"
],
"id": "ad7808df-3777-4ddd-89bd-6f328eef0492"
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"outputId": "080667f9-de9e-403e-8a01-d9d2d52733e3",
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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}
}
],
"source": [
"img3 = torchvision.io.read_image('/root/.fastai/data/mnist_png/training/3/10.png')\n",
"plt.imshow(img3.reshape(28,28),cmap=\"gray\")"
],
"id": "071515f4-53d0-49d1-b08e-dd7f325e5624"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## B. 예비학습 – \\``plt.imshow()`\n",
"\n",
"`-` `plt.imshow(...)` 에서 `...`이 shape이 (??,??)이면 흑백이미지를 출력"
],
"id": "25f83fd4-d3f2-4822-828e-8e9d9b466aff"
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"outputId": "bbd382b0-2e79-4d17-d8f4-dfc557660cba",
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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Py8tTVVXVRc1x7tw5HT9+XAkJCSH9J06cUGpqqgYNGqSZM2eGnWmer7i4WB6PJ9gISADA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\n"
}
}
],
"source": [
"plt.imshow([[0,255],[0,255]],cmap='gray')"
],
"id": "9cbf5f79-426e-43b2-aa03-1d09e539d680"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` `plt.imshow(...)` 에서 `...`의 shape이 (??,??,3)이면 칼라이미지를\n",
"출력"
],
"id": "e7850241-c253-4a4c-afa7-7ce4c3a82801"
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"outputId": "e0d82acc-b717-4dff-87cb-2f4af6e32e49",
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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HSp6k+MveFeC6Yr5rXQEQPUFJAUme5yk+Pno/yKO6kjx79qz27t2rnJycsP6cnByVlpZe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\nUwLO2sE72kwAAAAASUVORK5CYII=\n"
}
}
],
"source": [
"r = [[0,255],[0,255]]\n",
"g = [[255,0],[0,0]]\n",
"b = [[0,0],[255,0]]\n",
"plt.imshow(np.stack([r,g,b],axis=2))"
],
"id": "577efa5e-a6f9-4005-9cad-f4e3343fdb70"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` `plt.imshow(...)` 에서 `...`의 자료형이 int인지 float인지에 따라서\n",
"인식이 다름"
],
"id": "1d59d15c-0251-448d-a01e-055ef8dcbd63"
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"outputId": "bb4c79a8-552a-4eb1-c80e-50bc067e39d7",
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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Zob7k5GRt3LhR27dvV15enqKjozV+/HgdP37cOk9ubq78fn+oDRw4sC3KBwDc\n5jzGGNMmG/J4VFBQoFmzZjVpfF5enp544glt27ZNkydPto67evWqUlJSNHHiRK1atareMTU1Naqp\nqQktB4PB64LS09RdAG4rHrXJjzZwS9Qd3Y7jKCYmxrXtuPo3yZbavHmzHn/8cW3ZsqXBgJSkLl26\n6P7772/wTNLn88nn87V2mQCADq7dfd2al5enefPm6Y033tBDDz3U6HhjjEpLS5WQkNAG1QEAOhNX\nzyTPnz+vEydOhJbLyspUWlqq2NhYDRo0SDk5OTp58qQ2bdok6VpAPvbYY3rxxReVlpamqqoqSVL3\n7t3l9/slScuXL1daWpqGDh2qYDCoVatWqbS0VKtXr3ZzVwAAnZFx0Z49e4yufXUc1rKzs40xxmRn\nZ5uMjIzQ+IyMjAbHG2PM4sWLzaBBg4zX6zV9+vQxmZmZpqioqFl1OY5z3fweGq1DNo9Eo3XYVvcZ\n7jhOK6SVXZtduNOeBIPB0JmpuHAHHRQX7qAjqzu63b5wp939TRIAgPaCkAQAwIKQBADAgpAEAMCC\nkAQAwIKQBADAgpAEAMCCkAQAwIKQBADAgpAEAMCCkAQAwIKQBADAgpAEAMCCkAQAwIKQBADAgpAE\nAMCCkAQAwIKQBADAgpAEAMCCkAQAwIKQBADAgpAEAMCCkAQAwIKQBADAgpAEAMCCkAQAwIKQBADA\ngpAEAMCCkAQAwIKQBADAgpAEAMCCkAQAwIKQBADAgpAEAMCCkAQAwIKQBADAwtWQ3L9/v2bOnKn+\n/fvL4/Ho7bffbnD83r175fF4ItqxY8fCxuXn52vYsGHy+XwaNmyYCgoKXNwLAEBn5WpIXrhwQSNH\njtTLL7/crPW++OILVVZWhtrQoUNDrxUXFysrK0uBQECHDx9WIBDQ7NmzdeDAgdYuHwDQyXmMMaZN\nNuTxqKCgQLNmzbKO2bt3rx544AGdPXtWvXr1qndMVlaWgsGgdu7cGeqbNm2aevfurby8vHrXqamp\nUU1NTWjZcRwNGjSoRfsBAGg/qqur5ff7XZu/Xf5NctSoUUpISNCkSZO0Z8+esNeKi4uVmZkZ1jd1\n6lQVFRVZ58vNzZXf7w81AhIAOoYzZ864On83V2dvpoSEBK1bt06pqamqqanRb3/7W02aNEl79+7V\nxIkTJUlVVVWKj48PWy8+Pl5VVVXWeXNycrRkyZLQcnV1tRITE1VeXu7qbyBuCAaDGjhwoCoqKhQT\nE3Ory2ky6m5b1N32btfab9e6674RjI2NdXU77Sokk5KSlJSUFFpOT09XRUWFfvWrX4VCUrr21e31\njDERfdfz+Xzy+XwR/X6//7Y6KK4XExNzW9ZO3W2Lutve7Vr77Vp3ly7ufiHaLr9uvV5aWpqOHz8e\nWu7Xr1/EWeOpU6cizi4BALhZ7T4kS0pKlJCQEFpOT09XYWFh2Jj33ntP48aNa+vSAAAdnKtft54/\nf14nTpwILZeVlam0tFSxsbEaNGiQcnJydPLkSW3atEmS9MILL2jw4MEaPny4Ll26pNdee035+fnK\nz88PzbFo0SJNnDhRK1eu1COPPKJt27Zp9+7d+vDDD5tcl8/n0y9/+ct6v4Jt727X2qm7bVF327td\na6fuRhgX7dmzx0iKaNnZ2cYYY7Kzs01GRkZo/MqVK80999xjoqOjTe/evc0PfvAD884770TMu2XL\nFpOUlGSioqJMcnKyyc/Pd3M3AACdVJvdJwkAwO2m3f9NEgCAW4WQBADAgpAEAMCCkAQAwKLDhuTZ\ns2cVCARC/19rIBBQdXV1g+vMmzcv4jFdaWlpYWNqamr0s5/9THFxcerRo4cefvhh/eUvf7llddfW\n1urpp5/Wfffdpx49eqh///567LHH9PXXX4eN++EPfxixb3PmzGlxnWvWrNGQIUMUHR2t1NRUffDB\nBw2O37dvn1JTUxUdHa27775br7zySsSYtngEWnPq3rp1q6ZMmaI+ffooJiZG6enpevfdd8PGbNy4\nsd7Hu128ePGW1t6eHjvXnLrr+xn0eDwaPnx4aExbvOfNfcyf1D6O8ebW3V6O8Xb9WMVbfXmtW6ZN\nm2ZGjBhhioqKTFFRkRkxYoSZMWNGg+tkZ2ebadOmmcrKylA7c+ZM2JgFCxaYu+66yxQWFppDhw6Z\nBx54wIwcOdJcvnz5ltRdXV1tJk+ebDZv3myOHTtmiouLzdixY01qamrYuIyMDDN//vywfauurm5R\njW+++aaJiooyr776qjly5IhZtGiR6dGjh/nzn/9c7/g//elP5o477jCLFi0yR44cMa+++qqJiooy\nb731VmhMUVGR6dq1q1mxYoU5evSoWbFihenWrZv56KOPWlRja9S9aNEis3LlSvPxxx+bL7/80uTk\n5JioqChz6NCh0JgNGzaYmJiYsPe1srKy1Wpuae11t1998cUXYXVdf5y2x/e8uro6rN6KigoTGxtr\nfvnLX4bGtMV7vmPHDvPMM8+Y/Px8I8kUFBQ0OL69HOPNrbu9HOPNrbstj+8OGZJHjhwxksLejOLi\nYiPJHDt2zLpedna2eeSRR6yvV1dXm6ioKPPmm2+G+k6ePGm6dOlidu3adcvqvtHHH39sJIV9EGVk\nZJhFixbddI3GGDNmzBizYMGCsL7k5GSzdOnSesf/8z//s0lOTg7r+6d/+ieTlpYWWp49e7aZNm1a\n2JipU6eaOXPmtErNxjS/7voMGzbMLF++PLS8YcMG4/f7W6tEq+bWXvchcvbsWeuct8N7XlBQYDwe\nj/nqq69CfW31ntdpyod2eznGr9eUuutzq47xOs0JybY4vjvk163FxcXy+/0aO3ZsqC8tLU1+v7/B\nR2pJ107j+/btq+9973uaP3++Tp06FXrt4MGDqq2tDXtUV//+/TVixIhG53W77us5jiOPxxPxTM7X\nX39dcXFxGj58uH7xi1/o3Llzza7x0qVLOnjwYMTjyjIzM6012h5v9umnn6q2trbBMa3xvra07htd\nvXpV586di3jqwPnz55WYmKgBAwZoxowZKikpaZWa69xM7a392Lm2qrvO+vXrNXnyZCUmJob1u/2e\nN1d7OMZbw606xluqLY7vDhmSVVVV6tu3b0R/3759G3yk1vTp0/X666/r/fff1/PPP69PPvlEDz74\nYOiBzVVVVfJ6verdu3fYeo09qsvtuq938eJFLV26VI8++mjY/+g/d+5c5eXlae/evXr22WeVn5+v\nv//7v292jadPn9aVK1ea9bgy2+PNLl++rNOnTzc4pjXe15bWfaPnn39eFy5c0OzZs0N9ycnJ2rhx\no7Zv3668vDxFR0dr/PjxYf8p/62ove6xc/n5+dq6dauSkpI0adIk7d+/PzSmvb/nlZWV2rlzp554\n4omw/rZ4z5urPRzjreFWHePN1ZbHd7t6VFZjli1bpuXLlzc45pNPPpEU+TgtqfFHamVlZYX+PWLE\nCI0ePVqJiYl65513GgyUxuZ1u+46tbW1mjNnjq5evao1a9aEvTZ//vzQv0eMGKGhQ4dq9OjROnTo\nkFJSUhqd+0bNfVxZfeNv7G/unC3R0m3k5eVp2bJl2rZtW9gvMmlpaWEXd40fP14pKSl66aWXtGrV\nqtYrXM2r3a3HzrVES7exceNG9erVS7NmzQrrb8v3vDnayzHeUu3hGG+qtjy+b6uQXLhwYaNXZA4e\nPFifffaZvvnmm4jXvv3222Y9UishIUGJiYmh35j69eunS5cu6ezZs2Fnk6dOnWrwKSRtUXdtba1m\nz56tsrIyvf/++40+Fy4lJUVRUVE6fvx4s0IyLi5OXbt2bdbjymyPN+vWrZvuvPPOBse01iPQWlJ3\nnc2bN+vxxx/Xli1bNHny5AbHdunSRffff3+r/pZ9M7VfLy0tTa+99lpouT2/58YY/eY3v1EgEJDX\n621wrBvveXO1h2P8ZtzqY7w1uHV831Zft8bFxSk5ObnBFh0drfT0dDmOo48//ji07oEDB+Q4TrMe\nqXXmzBlVVFSEHtWVmpqqqKiosEd1VVZW6vPPP29wXrfrrgvI48ePa/fu3aEfyob84Q9/UG1tbdhj\nyJrC6/UqNTU14nFlhYWF1hptjzcbPXq0oqKiGhzTWo9Aa0nd0rXfrufNm6c33nhDDz30UKPbMcao\ntLS02e9rQ1pa+43a+rFzN1P3vn37dOLECT3++OONbseN97y52sMx3lLt4RhvDa4d3826zOc2Mm3a\nNPP973/fFBcXm+LiYnPfffdF3EqRlJRktm7daowx5ty5c+app54yRUVFpqyszOzZs8ekp6ebu+66\nywSDwdA6CxYsMAMGDDC7d+82hw4dMg8++GCr3wLSnLpra2vNww8/bAYMGGBKS0vDLoeuqakxxhhz\n4sQJs3z5cvPJJ5+YsrIy884775jk5GQzatSoFtVdd1n/+vXrzZEjR8zixYtNjx49QlcgLl261AQC\ngdD4usvjf/7zn5sjR46Y9evXR1we//vf/9507drVPPfcc+bo0aPmueeec+12hKbW/cYbb5hu3bqZ\n1atXW2+dWbZsmdm1a5f54x//aEpKSsw//uM/mm7dupkDBw60Wt0tqf0///M/TUFBgfnyyy/N559/\nbpYuXWokhT0xpz2+53V+8pOfmLFjx9Y7Z1u85+fOnTMlJSWmpKTESDK//vWvTUlJSeiK8fZ6jDe3\n7vZyjDe37rY8vjtsSJ45c8bMnTvX9OzZ0/Ts2dPMnTs34nJhSWbDhg3GGGO+++47k5mZafr06WOi\noqLMoEGDTHZ2tikvLw9b569//atZuHChiY2NNd27dzczZsyIGNOWdZeVldX7ODJJZs+ePcYYY8rL\ny83EiRNNbGys8Xq95p577jFPPvlkxD2gzbF69WqTmJhovF6vSUlJMfv27Qu9duMj0IwxZu/evWbU\nqFHG6/WawYMHm7Vr10bM2RaPQGtO3RkZGQ0+6s0YYxYvXmwGDRpkvF6v6dOnj8nMzDRFRUWtXndz\na29Pj51r7rFSXV1tunfvbtatW1fvfG3xnjf3MX/GtI9jvLl1t5djvD0/VpFHZQEAYHFb/U0SAIC2\nREgCAGBBSAIAYEFIAgBgQUgCAGBBSAIAYEFIAgBgQUgCAGBBSAIAYEFIAgBgQUgCAGDxf6u2Bzkh\nPrw6AAAAAElFTkSuQmCC\n"
}
}
],
"source": [
"r = [[0,1],[0,1]]\n",
"g = [[1,0],[0,0]]\n",
"b = [[0,0],[1,0]]\n",
"plt.imshow(np.stack([r,g,b],axis=2))"
],
"id": "9c1a9e58-0322-4fe9-b88f-84cdbf227c98"
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"outputId": "c57c632f-2176-415d-9fb2-ddb46e157848",
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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HSp6k+MveFeC6Yr5rXQEQPUFJAUme5yk+Pno/yKO6kjx79qz27t2rnJycsP6cnByVlpZe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\nUwLO2sE72kwAAAAASUVORK5CYII=\n"
}
}
],
"source": [
"r = [[0,1.0],[0,1.0]]\n",
"g = [[1.0,0],[0,0]]\n",
"b = [[0,0],[1.0,0]]\n",
"plt.imshow(np.stack([r,g,b],axis=2))"
],
"id": "cb9ca1c5-b4bc-48df-a75b-3ef32377649e"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## C. 예비학습 – pathlib\n",
"\n",
"`-` 오브젝트 생성"
],
"id": "28646eb2-adcc-45c3-afcd-98848ffbad58"
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"outputId": "771455ac-92e7-4ee9-aa26-10c6be437076",
"tags": []
},
"outputs": [],
"source": [
"path = fastai.imports.Path('.')\n",
"path"
],
"id": "4ba6ddb3-23a5-499a-9253-405aef0c20fe"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` 기능1 – `.ls()`"
],
"id": "da86a2d8-d55f-4071-8bf0-560a859eda82"
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"outputId": "fa5b3f95-289f-4005-e6c5-94e96db5e0ba",
"tags": []
},
"outputs": [],
"source": [
"path.ls()"
],
"id": "c2ad1637-2afa-438e-b8ad-3bbdcfb68f32"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` 이미지 파일이 저장된 경로로 새로운 `path`오브젝트를 만들고 기능1\n",
"수행"
],
"id": "a39956e7-7bae-4b2b-a0f5-f97f986380cf"
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"outputId": "c0113f41-7881-452f-8bbb-211ea9a2315e",
"tags": []
},
"outputs": [],
"source": [
"path = fastai.imports.Path('/root/.fastai/data/mnist_png')\n",
"path"
],
"id": "9f6e5c71-0c1b-4dbb-b383-3d620f32f93f"
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"outputId": "35f4cb01-33c2-4e65-d201-7e094f48eaca",
"tags": []
},
"outputs": [],
"source": [
"path.ls()"
],
"id": "df9d9b9c-8579-40e1-854e-4b24793cf6dd"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` 기능2: `/` 로 새로운 path 생성하기"
],
"id": "a2b6df26-1821-4e53-b677-ce53c2b09b5b"
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"outputId": "31008d1f-d9ed-4114-8c74-3dbd45860d25",
"tags": []
},
"outputs": [],
"source": [
"(path / 'training')"
],
"id": "35237b29-c315-4501-92a1-8e680f819782"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` 기능1,2의 결합"
],
"id": "ec0ada9a-fbe6-41d2-884c-91a42e6c91fe"
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"outputId": "b433d341-d46b-4057-fde1-a1f1a2aa454b",
"tags": []
},
"outputs": [],
"source": [
"(path / 'training').ls()"
],
"id": "5c8f83ce-2341-4054-89cd-008d1715aa3c"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## D. 데이터정리\n",
"\n",
"`-` 데이터가 저장된 path 설정"
],
"id": "00dd1766-4a31-48cd-8b48-8e14cd7e857f"
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"path = fastai.imports.Path('/root/.fastai/data/mnist_png')"
],
"id": "ef86287c-3500-4ddb-8268-f9cbfabe9500"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`-` `X` ,`y`를 만듦"
],
"id": "41b259a8-4538-4b8c-8192-228e9011dc42"
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"X3 = torch.stack([torchvision.io.read_image(str(i)) for i in (path/'training/3').ls()],axis=0)\n",
"X7 = torch.stack([torchvision.io.read_image(str(i)) for i in (path/'training/7').ls()],axis=0)"
],
"id": "dd9897fa-d5e7-407a-bd70-954ac8f1477b"
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"outputId": "b91e93e1-16e7-45d9-9242-e5f6b1688334",
"tags": []
},
"outputs": [],
"source": [
"X3.shape, X7.shape"
],
"id": "53e01b4d-3a4e-45db-8077-a0ffac807566"
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"y = torch.tensor([0.0]*6131+[1.0]*6265).reshape(-1,1)"
],
"id": "a1723d4d-8898-4126-9764-08f8b5dd72e5"
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"outputId": "4f7c39ff-dae8-4c52-8d6f-5094e4c74b9f",
"tags": []
},
"outputs": [],
"source": [
"X = torch.concat([X3,X7],axis=0)\n",
"X.shape"
],
"id": "05d84e2f-f02a-4bcf-8649-e082a3ffe158"
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"outputId": "53b78aa7-78bf-4a0a-bb6f-5b81279cbb15",
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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jTId9ktTW1qZ58+bpkUce0YUXXtjt58/Pz5fX6/VvNTU1PZkmAAAIAd27VPH/xMbGKjw8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\nAGAVMQIAAKwiRgAAgFX/F3JnY0QjkRkaAAAAAElFTkSuQmCC\n"
}
}
],
"source": [
"plt.plot(y,'o')"
],
"id": "647befcb-6888-4c68-96a4-cc400cef5091"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- “y=0.0” 은 숫자3을 의미함, “y=1.0” 은 숫자7을 의미함\n",
"- 숫자3은 6131개, 숫자7은 6265개 있음\n",
"\n",
"`-` 우리는 ${\\bf X}: (n,1,28,28)$ 에서 ${\\bf y}: (n,1)$으로 가는 맵핑을\n",
"배우고 싶음. $\\to$ 이런건 배운적이 없는데?.. $\\to$ 그렇다면\n",
"${\\bf X}:(n,784) \\to {\\bf y}:(n,1)$ 으로 가는 맵핑을 학습하자."
],
"id": "9339bbdb-8449-476c-b76e-d6d7cf26cd4c"
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"outputId": "392488a4-89ec-4391-b01d-95899992df74",
"tags": []
},
"outputs": [],
"source": [
"X = torch.concat([X3,X7],axis=0).reshape(-1,28*28).float()\n",
"X.shape, y.shape"
],
"id": "d7646da7-6d2b-4a18-b248-bc9e3447cd6d"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## E. 학습"
],
"id": "8d323f75-533a-4784-9c07-a06ccd36077d"
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"torch.manual_seed(43052)\n",
"net = torch.nn.Sequential(\n",
" torch.nn.Linear(784,32),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(32,1),\n",
" torch.nn.Sigmoid()\n",
")\n",
"loss_fn = torch.nn.BCELoss()\n",
"optimizr = torch.optim.Adam(net.parameters())\n",
"#--#\n",
"for epoc in range(200):\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",
" optimizr.zero_grad()"
],
"id": "e506d9d8-94d8-4c06-8d09-87a8d8e7e4bc"
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"outputId": "80bc4a01-2fd6-4493-e896-49336e3c995e",
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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sXv+IqBdisZ+FTi8DKgYiRDEjqGDkzJkzcDgcyM7O9lqenZ2N6upqn9tcfPHF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\n"
}
}
],
"source": [
"plt.plot(y,'o',label=r\"$(i,y_i)$ -- training data set\")\n",
"plt.plot(net(X).data,'.',alpha=0.2, label=r\"$(i,\\hat{y}_i$ -- training data set\")\n",
"plt.legend()"
],
"id": "47a54512-eb4f-4480-9d22-0a7fb2427466"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 잘맞추는데?\n",
"- 믿을수가 없는데..?"
],
"id": "08ad6ef5-5d21-42f2-aa2e-6a8c110757f6"
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"outputId": "af95d0bc-8b8f-41ad-bd7c-ea3887e4d123",
"tags": []
},
"outputs": [],
"source": [
"((yhat.data > 0.5) == y).float().mean() # train_accuracy"
],
"id": "78f79d91-58cf-44eb-a83f-9a5856f11082"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## F. Test"
],
"id": "a64ccfc9-5827-4a2a-954e-f5eea38fbaf6"
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {
"outputId": "69fb147e-fd12-49ee-baac-1eddf016f1ad",
"tags": []
},
"outputs": [],
"source": [
"path.ls()"
],
"id": "da810307-8871-4657-bd70-6ddeea7b4c27"
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"XX3 = torch.stack([torchvision.io.read_image(str(i)) for i in (path/'testing/3').ls()],axis=0)\n",
"XX7 = torch.stack([torchvision.io.read_image(str(i)) for i in (path/'testing/7').ls()],axis=0)"
],
"id": "9be934f1-55cc-4959-8daf-039a3bb40814"
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"outputId": "88699ab3-26d7-453b-9ddd-c13c63f53d0c",
"tags": []
},
"outputs": [],
"source": [
"XX3.shape,XX7.shape"
],
"id": "e5460468-7d20-4633-bea1-7263b39f2701"
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {
"outputId": "da6c1e33-c8c3-4bea-80b4-3292d081ec28",
"tags": []
},
"outputs": [],
"source": [
"XX = torch.concatenate([XX3,XX7],axis=0).reshape(-1,1*28*28).float()\n",
"XX.shape"
],
"id": "eda2623c-b729-40b5-bcd4-7965a243a5f7"
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {
"outputId": "a12520d1-8bae-4c18-9cc2-46411e8bfb7a",
"tags": []
},
"outputs": [],
"source": [
"yy = torch.tensor([0]*1010 + [1]*1028).reshape(-1,1).float()\n",
"yy.shape"
],
"id": "5de46325-d798-428d-9966-ae26ce7d8b13"
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {
"outputId": "e937f4d8-a6ee-4532-bc82-eef9472a539d",
"tags": []
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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DBgEA6urqAAB9+/a1ub4pU6Zg+PDh5r8TEhLwi1/8wirNXqaujM8++8wqn0ql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\nREREJKv/DxmcY0X9+IpwAAAAAElFTkSuQmCC\n"
}
}
],
"source": [
"plt.plot(yy,'o',label=r\"$(i,y_i)$ -- test data set\")\n",
"plt.plot(net(XX).data,'.',label=r\"$(i,\\hat{y}_i)$ -- test data set\")\n",
"plt.legend()"
],
"id": "c69e3487-18e4-4f02-8d7b-549742d6892c"
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {
"outputId": "4b83c7a0-318a-4156-b69e-42a8696d0f93",
"tags": []
},
"outputs": [],
"source": [
"(yy == (net(XX)>0.5)).float().mean() # test accuracy"
],
"id": "4be28c7d-8963-49fa-99a9-1c71c00325bb"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- test 에서도 잘 맞춘다..\n",
"\n",
"# 6. HW\n",
"\n",
"`# 5. MNIST 해결 -- E. 학습` 에 소개된 학습코드는 아래와 같다.\n",
"\n",
"``` python\n",
"torch.manual_seed(43052)\n",
"net = torch.nn.Sequential(\n",
" torch.nn.Linear(784,32),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(32,1),\n",
" torch.nn.Sigmoid()\n",
")\n",
"loss_fn = torch.nn.BCELoss()\n",
"optimizr = torch.optim.Adam(net.parameters())\n",
"#--#\n",
"for epoc in range(200):\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",
" optimizr.zero_grad()\n",
"```\n",
"\n",
"이 코드에 사용된 네트워크를 아래와 같이 변형하고, 적절한 `loss_fn` 을\n",
"다시 정의하여 학습하라.\n",
"\n",
"``` python\n",
"torch.manual_seed(43052)\n",
"net = torch.nn.Sequential(\n",
" torch.nn.Linear(784,32),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(32,1)\n",
" #torch.nn.Sigmoid()\n",
")\n",
"```\n",
"\n",
"학습결과를 확인하고 accuracy를 구하라.\n",
"\n",
"(풀이)"
],
"id": "50518622-0c27-4d8c-8658-90f8fef2acb0"
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {
"tags": []
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"acc(방법1) = 0.999515950679779\n",
"acc(방법2) = 0.999515950679779"
]
}
],
"source": [
"## Step1 \n",
"path = fastai.imports.Path('/root/.fastai/data/mnist_png')\n",
"X3 = torch.stack([torchvision.io.read_image(str(i)) for i in (path/'training/3').ls()],axis=0)\n",
"X7 = torch.stack([torchvision.io.read_image(str(i)) for i in (path/'training/7').ls()],axis=0)\n",
"X = torch.concat([X3,X7],axis=0).reshape(-1,28*28).float()\n",
"y = torch.tensor([0.0]*6131+[1.0]*6265).reshape(-1,1)\n",
"## Step2 \n",
"torch.manual_seed(43052)\n",
"net = torch.nn.Sequential(\n",
" torch.nn.Linear(784,32),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(32,1),\n",
")\n",
"loss_fn = torch.nn.BCEWithLogitsLoss()\n",
"optimizr = torch.optim.Adam(net.parameters())\n",
"## Step3 \n",
"for epoc in range(200):\n",
" ## step1\n",
" netout = net(X)\n",
" ## step2\n",
" loss = loss_fn(netout,y)\n",
" ## step3\n",
" loss.backward()\n",
" ## step4\n",
" optimizr.step()\n",
" optimizr.zero_grad()\n",
"## Step4 \n",
"sig = torch.nn.Sigmoid()\n",
"print(f'acc(방법1) = {((sig(netout) > 0.5) == y).float().mean()}')\n",
"print(f'acc(방법2) = {((netout>0) == y).float().mean()}')"
],
"id": "62db9d94-64e9-47a5-a3e1-1d547c49287f"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 두번째 방법은 시그모이드 취하기전의 값이 0보다 커야, 시그모이드를\n",
" 취한 값이 0.5 이상이 됨을 이용한 것이다. (참고로 시그모이드 취하기\n",
" 전의 값이 딱 0이라면 시그모이드를 취한값은 0.5가 된다) 즉\n",
" $netout>0 \\Leftrightarrow sig(netout)>0.5$를 이용한 것임.\n",
"\n",
"Cybenko, George. 1989. “Approximation by Superpositions of a Sigmoidal\n",
"Function.” *Mathematics of Control, Signals and Systems* 2 (4): 303–14."
],
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}
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