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@gihyunkim
Created October 11, 2019 03:08
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 0. 퍼셉트론\n",
"- 뇌의 정보처리 방법 모방\n",
" - 인공 신경망(ANN)\n",
" \n",
" \n",
"- 다수의 신호를 입력(X)으로 받아 하나 혹은 여러 신호를 출력(Y)\n",
"\n",
"\n",
" - 입력 노드(X)에서 출력 노드(Y)로 보내질 때 각 입력노드 값들(x1, x2, x3 ....in X)에 고유한 가중치(Weight)가 곱해진다.\n",
"\n",
"\n",
"- 신호의 총합이 임계치를 넘으면 1,아니면 0 출력 => activation function\n",
" - w1x1 + w2x2 <= theta(임계값)이면 0, w1x1 + w2x2 > theta면 1\n",
"\n",
"\n",
"- **가중치**는 각 신호가 결과에 영향을 미치는 정도를 조절하는 용도.\n",
" \n",
"\n",
"- **편향(바이어스)** : theta를 -b로 치환. 뉴런이 얼마나 쉽게 활성화하는지의 정도를 조절하는 용도."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" **\\* 학습이란 원하는 목적에 맞는 최적의 매개변수(파라메터)값을 찾아가는 작업**"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./perceptron.PNG')"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 1,
"metadata": {
"image/png": {
"width": 400
}
},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./lin.PNG',width=400)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 0.1 활성화 함수(Activate Function)\n",
"- 선형 데이터를 비선형 출력값으로 변환한다.\n",
"\n",
"\n",
"- 퍼셉트론에서는 unit step 함수. \\* 계단 함수라고도 한다.\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 1,
"metadata": {
"image/png": {
"width": 500
}
},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./activate.PNG',width=500)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 계단함수 구현하기"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def step_function(x):\n",
" if x>0:\n",
" return 1\n",
" else:\n",
" return 0 "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\\* 위 함수는 간단하지만 numpy 배열이 인수값으로 넣을 수 없다."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pylab as plt\n",
"\n",
"def step_function(x):\n",
" y = x >0 # x>0이면 true\n",
" return y.astype(np.int) # bool -> int\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x= np.arange(-5.0,5.0,0.1) # -5.0~ 5.0 까지 0.1 단위로 배열 생성.\n",
"y = step_function(x)\n",
"plt.plot(x,y)\n",
"plt.ylim(-0.1,1.1) # y축의 범위 지정\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 0.2 퍼셉트론 알고리즘\n",
"1. 모든 weight(w)를 0 또는 어떤 작은 랜덤 수로 초기화한다.\n",
"\n",
"\n",
"2. 각 training 샘플 x에 대해 다음을 수행:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 8,
"metadata": {
"image/png": {
"width": 500
}
},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./algo.PNG',width=500)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 위의 linear prediction 값을 활성화 함수에 넣어 출력 값을 산출한다.\n",
"\n",
"\n",
"- cost(loss) 함수를 최소화하는 방향으로 파라메터(W)를 업데이트 한다. \n",
"\n",
"\n",
"- 여기서 에타는 learning rate를 뜻하며 한번 업데이트할 때의 정도를 나타낸다.\n",
"\n",
"\n",
"- 또한 에타의 옆에 곱해진 (y-y^)x는 그라디언트라고 불리며 cost함수의 x점에서의 기울기를 나타낸다. 이것은 나중에 더 자세히 다루도록 한다.\n",
"\n",
"## 0.3 퍼셉트론 알고리즘의 수렴\n",
"- 오직 밑 조건일 때만 성립한다.\n",
" - 두 클래스가 서로 선형분류가 가능할 때\n",
" \n",
" - learning rate가 충분히 작을 때\n",
" \n",
" \n",
" \n",
"# 1. 단순한 논리 회로\n",
" \n",
"## AND 게이트\n",
"- 오직 둘 다 1일 때만 1을 출력, 나머지는 0"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0\n",
"0\n",
"0\n",
"1\n"
]
}
],
"source": [
"def AND(x1, x2): \n",
" w1, w2, theta = 0.5, 0.5, 0.7 # give proper weight and threshold\n",
" tmp = x1*w1 + x2*w2\n",
" if tmp <= theta:\n",
" return 0\n",
" elif tmp > theta:\n",
" return 1\n",
"print(AND(0,0))\n",
"print(AND(0,1))\n",
"print(AND(1,0))\n",
"print(AND(1,1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## NAND 게이트\n",
"- 오직 둘 다 1일 때만 0을 출력, 나머지는 1"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1\n",
"1\n",
"1\n",
"0\n"
]
}
],
"source": [
"import numpy as np\n",
"def NAND(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",
" elif tmp > 0: \n",
" return 1\n",
"print(NAND(0,0))\n",
"print(NAND(0,1))\n",
"print(NAND(1,0))\n",
"print(NAND(1,1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## OR 게이트\n",
"- 오직 둘 다 0일 때만 0, 그 외에는 1( 하나라도 1이면 1)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0\n",
"1\n",
"1\n",
"1\n"
]
}
],
"source": [
"import numpy as np\n",
"\n",
"def OR(x1, x2):\n",
" x = np.array([x1,x2])\n",
" w = np.array([0.5,0.5])\n",
" b = -0.2\n",
" tmp = np.sum(x*w)+b\n",
" if tmp <= 0: return 0\n",
" elif tmp >0: return 1\n",
"print(OR(0,0))\n",
"print(OR(0,1))\n",
"print(OR(1,0))\n",
"print(OR(1,1))"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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