2장.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 밑바닥부터 시작하는 딥러닝\n",
    "\n",
    "# Deep Learning from Scratch\n",
    "\n",
    "## Github \n",
    "\n",
    "https://github.com/WegraLee/deep-learning-from-scratch\n",
    "\n",
    "## 목차\n",
    "\n",
    "http://nbviewer.jupyter.org/github/SDRLurker/deep-learning/blob/master/%EB%AA%A9%EC%B0%A8.ipynb"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2 퍼셉트론\n",
    "퍼셉트론(perceptron) 알고리즘\n",
    "\n",
    "프랑크 로젠브라크(Frank Rosenblatt)가 1957년 고안한 알고리즘\n",
    "\n",
    "신경망(딥러닝)의 기원이 되는 알고리즘"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.1 퍼셉트론이란?\n",
    "퍼셉트론(인공뉴런): 다수의 신호를 입력으로 받아 하나의 신호를 출력\n",
    "\n",
    "신호: 흐른다(1), 흐르지 않는다(0) 두 가지 값을 가짐.\n",
    "\n",
    "입력신호: x1, x2\n",
    "\n",
    "출력신호: y\n",
    "\n",
    "가중치: w1, w2(w는 weight의 머리글자) \n",
    "\n",
    "퍼셉트론에서는 가중치가 클수록 강한 신호를 흘림.\n",
    "\n",
    "전류에서 말하는 저항. 저항이 낮을 수록 큰 전류가 흐름.\n",
    "\n",
    "뉴런, 노드: x1, x2, y\n",
    "\n",
    "입력신호가 뉴런에 보내질 때 가각 고유한 가중치가 곱해짐. (w1x1, w2x2)\n",
    "\n",
    "뉴런이 활성화: 뉴런에서 보내온 신호의 총합이 정해진 한계를 넘어설 때만 1을 출력\n",
    "\n",
    "임계값: 정해진 한계. 세타 기호로 표현\n",
    "\n",
    "\\begin{equation*}\n",
    "y = 0 (w_1 x_1 + w_2 x_2 <= theta)\n",
    "\\end{equation*}\n",
    "\\begin{equation*}\n",
    "y = 1 (w_1 x_1 + w_2 x_2 > theta)\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.2 단순한 논리 회로\n",
    "\n",
    "### 2.2.1 AND 게이트\n",
    "\n",
    "진리표: 입력 신호와 출력 신호의 대응표\n",
    "\n",
    "AND 게이트 진리표\n",
    "\n",
    "| x1 | x2 | x3 |\n",
    "|----|----|----|\n",
    "|  0 |  0 |  0 |\n",
    "|  1 |  0 |  0 |\n",
    "|  0 |  1 |  0 |\n",
    "|  1 |  1 |  1 |\n",
    "\n",
    "퍼셉트론으로 표현하려면 진리표대로 작동하는 w1, w1, 세타 값을 정해야 함\n",
    "\n",
    "(w1, w2, 세타) = (0.5, 0.5, 0.7), (0.5, 0.5, 0.8) 또는 (1.0, 1.0, 1.0)\n",
    "\n",
    "x1, x2가 모두 1일 때만 가중신호의 총합이 주어진 임계값을 넘게 됨."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2.2 NAND 게이트와 OR 게이트\n",
    "NAND = not AND. AND 게이트의 출력을 뒤집은 것.\n",
    "\n",
    "NAND 게이트 진리표\n",
    "\n",
    "| x1 | x2 | x3 |\n",
    "|----|----|----|\n",
    "|  0 |  0 |  1 |\n",
    "|  1 |  0 |  1 |\n",
    "|  0 |  1 |  1 |\n",
    "|  1 |  1 |  0 |\n",
    "\n",
    "AND 게이트를 구현하는 매개변수의 부호를 모두 반전하면 NAND 게이트가 됨\n",
    "\n",
    "OR 게이트 진리표\n",
    "\n",
    "| x1 | x2 | x3 |\n",
    "|----|----|----|\n",
    "|  0 |  0 |  0 |\n",
    "|  1 |  0 |  1 |\n",
    "|  0 |  1 |  1 |\n",
    "|  1 |  1 |  1 |\n",
    "\n",
    "각 게이트에 대한 퍼셉트론의 구조는 모두 같음\n",
    "\n",
    "차이점은 매개변수(가중치와 임계값)\n",
    "\n",
    "퍼셉트론의 매개변수 값\n",
    "\n",
    "기계학습 문제는 매개변수(가중치와 임계값)을 정하는 작업을 컴퓨터가 자동으로 함\n",
    "\n",
    "학습: 적절한 매개변수를 정하는 작업\n",
    "\n",
    "사람은 퍼셉트론의 구조(모델)를 고민하고 컴퓨터에 학습할 데이터를 제공."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.3 퍼셉트론 구현하기\n",
    "\n",
    "### 2.3.1 간단한 구현부터\n",
    "\n",
    "x1, x2를 인수로 받는 AND라는 함수"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def AND(x1, x2):\n",
    "    w1, w2, theta = 0.5, 0.5, 0.7\n",
    "    tmp = x1*w1 + x2*w2\n",
    "    if tmp <= theta:\n",
    "        return 0\n",
    "    elif tmp > theta:\n",
    "        return 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "0\n",
      "0\n",
      "1\n"
     ]
    }
   ],
   "source": [
    "print(AND(0, 0)) # 0을 출력\n",
    "print(AND(1, 0)) # 0을 출력\n",
    "print(AND(0, 1)) # 0을 출력\n",
    "print(AND(1, 1)) # 1을 출력"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3.2 가중치와 편향 도입\n",
    "세타를 -b로 치환하면 다음처럼 퍼셉트론 동작이 변경됨\n",
    "\n",
    "b를 편향(bias)라고 함\n",
    "\n",
    "\\begin{equation*}\n",
    "y = 0 (b + w_1 x_1 + w_2 x_2 <= 0)\n",
    "\\end{equation*}\n",
    "\\begin{equation*}\n",
    "y = 1 (b + w_1 x_1 + w_2 x_2 > 0)\n",
    "\\end{equation*}\n",
    "\n",
    "넘파이를 사용해서 위의 식을 구현"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0. ,  0.5])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "x = np.array([0, 1])     # 입력\n",
    "w = np.array([0.5, 0.5]) # 가중치\n",
    "b = -0.7                 # 편향\n",
    "w*x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sum(w*x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.19999999999999996"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sum(w*x) + b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3.3 가중치와 편향 구현하기\n",
    "'가중치와 편향을 도입'한 AND 게이트 구현"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def AND(x1, x2):\n",
    "    x = np.array([x1, x2])\n",
    "    w = np.array([0.5, 0.5])\n",
    "    b = -0.7\n",
    "    tmp = np.sum(w*x) + b\n",
    "    if tmp <= 0:\n",
    "        return 0\n",
    "    else:\n",
    "        return 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "가중치(w1, w2)는 각 입력 신호가 결과에 주는 영향력(중요도)을 조절하는 매개변수\n",
    "\n",
    "편향(b)은 뉴런이 얼마나 쉽게 활성화(결과로 1을 출력)하느냐를 조정하는 매개변수\n",
    "\n",
    "예시) b가 -0.1이면 가중치를 곱한 합이 0.1을 초과할 때 뉴런이 활성화.\n",
    "\n",
    "편향의 의미: 한 쪽으로 치우쳐 균형을 깬다."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "NAND 게이트와 OR 게이트 구현"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def NAND(x1, x2):\n",
    "    x = np.array([x1, x2])\n",
    "    w = np.array([-0.5, -0.5]) # AND와는 가중치(w와 b)만 다르다.\n",
    "    b = 0.7\n",
    "    tmp = np.sum(w*x) + b\n",
    "    if tmp <= 0:\n",
    "        return 0\n",
    "    else:\n",
    "        return 1\n",
    "    \n",
    "def OR(x1, x2):\n",
    "    x = np.array([x1, x2])\n",
    "    w = np.array([0.5, 0.5]) # AND와는 가중치(w와 b)만 다르다.\n",
    "    b = -0.2\n",
    "    tmp = np.sum(w*x) + b\n",
    "    if tmp <= 0:\n",
    "        return 0\n",
    "    else:\n",
    "        return 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.4 퍼셉트론의 한계"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.4.1 도전! XOR 게이트\n",
    "XOR 게이트 배타적 논리합. x1과 x2 한쪽이 1일 때만 1을 출력. (배타적이란 자기 외에는 거부한다는 의미)\n",
    "\n",
    "XOR 게이트 진리표\n",
    "\n",
    "| x1 | x2 | x3 |\n",
    "|----|----|----|\n",
    "|  0 |  0 |  0 |\n",
    "|  1 |  0 |  1 |\n",
    "|  0 |  1 |  1 |\n",
    "|  1 |  1 |  0 |\n",
    "\n",
    "지금까지 본 퍼셉트론은 XOR 게이트를 구현할 수 없음."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(b, w1, w2) = (-0.5, 1.0, 1.0)일 때 OR 게이트 퍼셉트론 식\n",
    "\n",
    "\\begin{equation*}\n",
    "y = 0 (-0.5 + x_1 + x_2 <= 0)\n",
    "\\end{equation*}\n",
    "\\begin{equation*}\n",
    "y = 1 (-0.5 + x_1 + x_2 > 0)\n",
    "\\end{equation*}\n",
    "\n",
    "퍼셉트론의 시각화: 회색 영역은 0을 출력하는 영역. 전체 영역을 OR 게이트 성질을 만족"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fs31TwloA5ASzktsv5VFDvx8RcyPirPrtqlS1AMgXuoP2ystRQwDwG+gO2oMgAJBrdAfZ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\nXQPEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104b263c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline \n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "x1 = np.arange(-1, 3, 0.1)\n",
    "x2 = -x1 + 0.5\n",
    "\n",
    "plt.axvline(x=0, color = 'b')  # draw x =0 axes\n",
    "plt.axhline(y=0, color = 'b')   # draw y =0 axes\n",
    "\n",
    "# 그래프 그리기\n",
    "plt.plot(x1, x2, label=\"or\")\n",
    "plt.xlabel(\"X1\") # x축 이름\n",
    "plt.ylabel(\"X2\") # y축 이름\n",
    "plt.legend()\n",
    "\n",
    "plt.fill_between(x1, x2, -3, color='grey', alpha='0.5')\n",
    "\n",
    "plt.scatter([0],[0],marker='o',color='r')\n",
    "plt.scatter([1,0,1],[0,1,1],marker='^',color='r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "OR 게이트는 (x1,x2)=(0,0)일 때 0을 출력(원으로 표시). (0,1),(1,0),(1,1)일 때 1을 출력(세모로 표시)\n",
    "\n",
    "XOR 게이트를 직선 하나로 0과 1을 나누는 영역을 만들 수 있을까?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WiCSpiQUiSWpigUiSmlggkqQmFogkqYkFIklqYoFIkppYIJKkJhaIJKmJBSJJamKBSJKa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\nSWpigUiSmlggkqQm/x+t1IzfnGfV0QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104b28860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x1 = np.arange(-1, 3, 0.1)\n",
    "x2 = -x1 + 0.5\n",
    "\n",
    "plt.axvline(x=0, color = 'b')  # draw x =0 axes\n",
    "plt.axhline(y=0, color = 'b')   # draw y =0 axes\n",
    "plt.xlabel(\"X1\") # x축 이름\n",
    "plt.ylabel(\"X2\") # y축 이름\n",
    "\n",
    "plt.scatter([0,1],[0,1],marker='o',color='r')\n",
    "plt.scatter([1,0],[0,1],marker='^',color='r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "0과 1을 직선 하나로 나누는 것이 불가능."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.4.2 선형과 비선형\n",
    "'직선'이란 제약을 없애면 둘을 나눌 수 있음."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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I9Ho9hFAsFovF4tbWVgghn89PSUlBnFEWDofT3t7u8XjS0tJQ9X0+X3JyslAo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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from IPython.display import Image, display\n",
    "display(Image(filename='decision.png', embed=True))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "위와 같은 곡선의 영역을 비선형 영역.\n",
    "\n",
    "직선의 영역을 선형 영역이라함."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## 2.5 다층 퍼셉트론이 출동한다면\n",
    "단층 퍼셉트론(single-layer perceptron)으로는 XOR 게이트를 표현할 수 없다. 혹은 비선형 영역을 분리할 수 없다.\n",
    "\n",
    "다중 퍼셉트론(multi-layer perceptron): 퍼셉트론의 층을 쌓음\n",
    "\n",
    "XOR을 층을 하나 더 쌓아서 표현"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.5.1 기존 게이트 조합하기\n",
    "XOR게이트를 만드는 방법은 다양. \n",
    "\n",
    "AND, NAND, OR 게이트를 조합하는 방법\n",
    "\n",
    "**게이트기호 설명**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/jpeg": 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L4YaBNFqmlWl/4u1vw3c6MB/XY+7vBHgjwl8NfCWg+BPAmg6f4X8I+GNPi0zQ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\nACgAoAKACgAoAKACgAoAKACgAoAKACgAoAKACgAoAKACgAoAKACgAoA//9k=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(Image(filename='gates.JPG', embed=True))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**AND, NAND, OR 게이트를 조합해 구현한 XOR 게이트**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kL+ZBEOOYHPGg5MEKhrQWdSwYkvTdPAtinJRDxyp/1waU0mJKmngcxDgshzsu\neaqCIa1FHQuGJH09j4MYh+W4scrftRZ1LBiSJGO1hvNyrBOTRyoY0ioUsWBIkgoPhRhH5kCHJs9T\nMKRVKGLBkCRNPBdinJojxip/1yoUsWBIkp54NMQ4OEc5OnmYgiH1o4IFQ5L0ytMhxtk5HB5P/ahg\nwZAkvfGAiHF8joVnUz8qWDAkSRHPiBgn6Fh4NnWifAVDklThMTEyoqBgSJ0oX8GQJNV5UgyLKCgY\nUifKVzAkSbM8LMZEFBQMqQe1mzAqSUs8L8ZEGhQMqRmFmzAqSQ08MgZEGhQMqQ1VmzAqSc08OEZD\nIBQMaQn1esVrktTDs2MoBIK2oZqS1M8TZBxkgjaglJK0lufIIIgFrUIRJWkzDxRJktIYq5IkpTFW\nJUlKY6xKkpTGWJUkKY2xKklSGmNVkqQ0xqokSWmMVUmS0hirkiSlMVYlSUpjrEqSlMZYlSQpjbEq\nSVIaY1WSpDTGqiRJaYxVSZLSGKuSJKUxViVJSmOsSpKU5H//+39lRY5K5nfp1gAAAABJRU5ErkJg\ngg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(Image(filename='xor.PNG', embed=True))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**XOR 게이트의 진리표**\n",
    "\n",
    "| x1 | x2 | s1 | s2 | y |\n",
    "|----|----|----|----|---|\n",
    "|  0 |  0 |  1 |  0 | 0 |\n",
    "|  1 |  0 |  1 |  1 | 1 |\n",
    "|  0 |  1 |  1 |  1 | 1 |\n",
    "|  1 |  1 |  0 |  1 | 0 |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.5.2 XOR 게이트 구현하기\n",
    "XOR 게이트의 진리표대로 조랍된 XOR 게이트를 파이썬으로 구현 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def XOR(x1, x2):\n",
    "    s1 = NAND(x1, x2)\n",
    "    s2 = OR(x1, x2)\n",
    "    y = AND(s1, s2)\n",
    "    return y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "1\n",
      "1\n",
      "0\n"
     ]
    }
   ],
   "source": [
    "print(XOR(0, 0)) # 0을 출력\n",
    "print(XOR(1, 0)) # 1을 출력\n",
    "print(XOR(0, 1)) # 1을 출력\n",
    "print(XOR(1, 1)) # 0을 출력"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "XOR을 퍼셉트론으로 표현"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6bl89oNmJEyAiOr4A1skX0f3M/xyzOVqTG45NSyxbVLGjbp/Ysu9Etjs7a2Pd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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(Image(filename='layers.PNG', embed=True))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "AND, OR는 단층 퍼셉트론\n",
    "\n",
    "XOR은 2층 퍼셉트론\n",
    "\n",
    "2층 퍼셉트론 서술\n",
    "\n",
    "* 0층의 두 뉴런이 입력신호를 받아 1층의 뉴런으로 신호를 보냄\n",
    "* 1층의 뉴런이 2층의 뉴런으로 신호를 보내고 2층의 뉴런은 이 입력신호를 바탕으로 y를 출력\n",
    "\n",
    "작업자(뉴런)들 사이에서 부품을 전달\n",
    "\n",
    "단층 퍼셉트론으로는 표현하지 못한 것을 층을 하나 늘려 구현 가능"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.6 NAND에서 컴퓨터까지\n",
    "NAND게이트의 조합만으로 컴퓨터가 수행하는 일을 재현 가능\n",
    "\n",
    "The Elements of Computing Systems: Building a Modern Computer from First Priciples 도서 참고\n",
    "\n",
    "\"NAND에서 테트리스까지\"라는 구호 아래 테트리스가 작동하는 컴퓨터를 만듬\n",
    "\n",
    "\"이론상 2층 퍼셉트론이면 컴퓨터를 만들 수 있다\"\n",
    "\n",
    "시그모이드 함수를 활성화 함수로 이용하면 임의의 함수를 표현할 수 있다는 사실이 증명됨(3장 참고)\n",
    "\n",
    "실제로는 저수준 소자에서 시작해서 컴퓨터를 만드는 데 필요한 부품(모듈)을 단계적으로 만드는 쪽이 자연스러움"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.7 정리"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "이번 장에서 배운 내용\n",
    "\n",
    "퍼셉트론은 입출력을 갖춘 알고리즘. 입력을 주면 정해진 규칙에 따른 값을 출력\n",
    "\n",
    "퍼셉트론은 '가중치'와 '편향'을 매개변수로 설정\n",
    "\n",
    "퍼셉트론으로 AND, OR 게이트 등의 논리 회로를 표현 가능\n",
    "\n",
    "XOR 게이트는 단층 퍼셉트론으로 표현 불가. 2층 퍼셉트론으로 가능\n",
    "\n",
    "단층 퍼셉트론은 직선형 영역만 표현. 다층 퍼셉트론은 비선형 영역도 표현\n",
    "\n",
    "다층 퍼셉트론은 (이론상) 컴퓨터를 표현가능"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*출처\n",
    "\n",
    "이미지 출처 1 : http://makething.tistory.com/entry/9%EC%9B%94-%EB%85%BC%EB%A6%AC%EA%B2%8C%EC%9D%B4%ED%8A%B8\n",
    "\n",
    "이미지 출처 2 : http://www.minecraftforum.net/forums/minecraft-discussion/redstone-discussion-and/341894-xor-gate-with-2-and-1-not-1-or\n",
    "\n",
    "이미지 출처 3 : https://www.researchgate.net/figure/255786872_fig8_Figure-9-Boundary-decision-for-a-nonlinear-classifier-solving-the-bipolar-XOR-problem\n",
    "\n",
    "이미지 출처 4 : https://github.com/paulseo0827/deeplearning/tree/master/CH2.Perceptron"
   ]
  }
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