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@gihyunkim
Created December 19, 2019 05:22
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 1. 신경망 학습\n",
"- **학습**이란, 훈련 데이터로부터 가중치 매개변수의 최적값을 자동으로 획득하는 것을 의미한다.\n",
"\n",
"\n",
"- 지표로는 **손실 함수**를 사용하고, 이 손실 함수의 결과값을 가장 작게 만드는 가중치 매개변수를 찾는 것이 학습의 목표이다.\n",
"\n",
"\n",
"# 2. 데이터 주도 학습\n",
"- 사람의 개입을 최소화하고 수집한 데이터로부터 패턴을 찾는 것을 시도.\n",
"\n",
"\n",
"- 이미지라는 데이터가 잇다면, 이 이미지에서 특징을 추출하고 그 특징의 패턴을 기계학습 기술로 학습하는 방법이 있다.\n",
" - **여기서 특징이란**, 입력 데이터에서 본질적인 데이터를 정확하게 추출할 수 있도록 설계된 변환기를 의미한다.\n",
" - 이미지의 특징은 보통 벡터로 기술하고, 대표적인 특징들로는 **SIFT, SURF, HOG**등이 많이 쓰인다.\n",
" \n",
"\n",
"- 기계학습이 모아진 데이터로부터 규칙을 찾아내는 역할을 하지만, 이미지를 벡터로 변환할 때 사용하는 특징은 여전히 사람이 설계해야한다.\n",
" - 즉, 문제에 적합한 특징을 쓰지 않으면 ,좋은 결과를 얻기 힘들다.\n",
" \n",
" \n",
"- **신경망**은 이미지에 포함된 중요한 특징까지도 스스로 학습\n",
" - 모든 문제를 같은 맥락에서 풀 수 있다.\n",
" - 숫자를 인식하든 개를 인식하든 상관없이 학습이 가능하다.\n",
" \n",
" \n",
"# 3. 훈련 데이터와 시험 데이터\n",
"- 보통 기계학습에서는 데이터를 훈련 데이터(train set)과 시험 데이터(test set)으로 나누어 수행한다.\n",
"\n",
"\n",
"- train set을 이용하여 학습을 하고 최적의 매개변수를 찾아낸다.\n",
"\n",
"\n",
"- 그 다음 test set을 이용하여 학습된 모델에 적용해 그 모델을 테스트한다.\n",
" - 그 모델이 범용적인지 판단하기 위함.\n",
" \n",
"\n",
"## 3.1 validation set\n",
"- 훈련 데이터를 한번 더 나눈다.\n",
"\n",
"\n",
"- 하이퍼 파라메터(learning rate 등)을 최적화하기 위해 사용한다.\n",
"\n",
"\n",
"- 직관적으로 최적의 모델을 선택하는데 쓰인다."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./train_test.PNG')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.1.1 K-Fold Cross Validation\n",
"1. sample 데이터를 k개로 분할.\n",
"\n",
"\n",
"2. k-1 개를 train-set, 1개를 test-set으로 사용\n",
"\n",
"\n",
"3. test-set을 rotating 시키면서 k번을 반복한다. \n",
"**\\* 작은 데이타 셋에는 k를 크게, 큰 데이타 셋에는 k를 작게 설정**\n",
"\n",
"****사용 이유***\n",
" - 총 데이터 개수가 적은 데이터 셋에 대해 정확도가 향상한다.\n",
" \n",
" \n",
" - Train가 Test set으로만 분류하기 때문에, 학습 데이터가 더 많게 유지할 수 있다.\n",
" \n",
" \n",
" - 데이터 수가 적은 경우, valid와 test에 많이 뺏겨버리면 train set에 대해 **underfitting**이 일어날 수 있다.\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 4. Overfitting\n",
"\n",
"Model is overfitted on train set, So It works very well in train set but It shows much lower performance in Test set. \n",
"\n",
"\n",
" ### Solution\n",
"\n",
"- More training data\n",
"\n",
"\n",
"- Reduce the number of features\n",
"\n",
"\n",
"- Regularization\n",
"\n",
"\n",
"- Weight-decay : small or many of 0\n",
"\n",
"\n",
"- Weight-sharing: make same value\n",
"\n",
"\n",
"- Early stopping : make fake test set, if a result is worse, training stop\n",
"\n",
"\n",
"- Model averaging : lots of different nueral net -> averaging\n",
"\n",
"\n",
"- Dropout\n",
"\n",
"## 4.1 Regularization\n",
"\n",
"오버피팅을 예방하고 일반화 성능을 높인다.\n",
"\n",
"특정 가중치가 너무 큰 값을 가지게 되면 모델의 일반화 성능이 떨어지게 된다.\n",
"\n",
"따라서 regularization으로 loss function에 가중치의 값을 더해주어 가중치가 너무 커지지 않게 조절한다.\n",
"\n",
"w가 작아지도록 학습한다는 것은 \"local noise\"가 학습에 큰 영향을 끼치지 않는다는 것을 의미한다, 즉 특이점의 영향을 적게 받도록 하고 싶다.\n",
"## 4.1.1 Norm\n",
"벡터의 크기(길이)를 측정하는 방법이다. 두 벡터 사이의 거리를 측정하는 방법이기도 하다. \n",
"\n",
"$$ \\|x\\|_p :=(\\sum^n_{i=1}|x_i|^p)^{1/p} $$ \n",
"\n",
"\\* 여기서 p는 Norm의 차수를 의미.\n",
"\\* p=1이면 L1 Norm, 2이면 L2 Norm.\n",
"\n",
"\n",
"### L1 Norm\n",
"$$d_1(p,q) = \\|p-q\\|_1 = \\sum^n_{i=1}|p_i-q_i|$$\n",
"\n",
"\n",
"### L2 Norm\n",
"$$\\|x\\|_2 := \\sqrt{x_1^2+\\dots+x^2_n}$$\n",
"\n",
"\n",
"### L1과 L2 Norm의 차이."
]
},
{
"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": 200
}
},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./norm.png',width=200)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"L1 norm은 빨강,파랑,노랑 선으로 표현 될 수 있고, L2 norm은 오직 초록색 선으로 표현된다.\n",
"- 즉, L1 Norm은 여러 path를 가지지만, L2 Norm은 오직 unique shortest path만을 가진다."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### L1 Loss\n",
"$$L=\\sum^n_{i=1}|y_i-f(x_i)|$$\n",
"\n",
"\n",
"**\\* $y_i$는 실제값, $f(x_i)$는 예측치를 의미한다.**\n",
"### L2 Loss\n",
"$$L=\\sum^n_{i=1}(y_i-f(x_i))^2$$\n",
"\n",
"### L1과 L2 Loss의 차이\n",
"L2 loss는 직관적으로 오차의 제곱을 더하기 때문에 외부 값에 더 큰 영향을 받는다. 반면에 L1 Loss는 L2에 비해 외부 값에 Robust하다.\n",
"- 외부 값의 영향을 크게 하고 싶으면 L2, 아니면 L1\n",
"- 또한 L1 Loss는 0인 지점에서 미분 불가능."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### L1 Regularization\n",
"\n",
"$$Cost = \\frac{1}{n}\\sum^n_{i=1} \\{L(y_i,\\hat{y}_i)+\\frac{\\lambda}{2}|w|\\}$$\n",
"- lambda=0 이면 no regularization\n",
"\n",
"\n",
"- lamda is 1, regularization에 높은 가중치를 둠.\n",
"\n",
"\n",
"- 논문에 따라 1/n이나 1/2가 달라질 수 있으나 별로 중요하지 않다.\n",
"\n",
"\n",
"- 기존의 cost function에 가중치의 크기가 포함되면서 가중치가 너무 크지 않은 방향으로 학습 되도록 한다.\n",
"\n",
"\n",
"- 즉, lamda가 커지면, 전체적으로 cost함수가 minimize되야하는 상황이므로 가중치 파라메터(W,B)의 크기는 작아지게 될것이다. 보통 0.1만 주어도 Regularization에 가중치를 많이 부여한다는 뜻이다.\n",
"\n",
"\n",
"- 각 특성에 대한 가중치는 예측하고자 하는 특성과 연관성이 높을 수록 높은 값, 반대의 경우 낮은 값을 갖게 되는데, 이 가중치에 **패널티**를 주어 0에 가깝게 만듦으로써 예측에 불필요한 변수의 영향을 최소화하는 과정.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 4.1.2 **L2 정규화**\n",
"\n",
"Weight Decay라고도 불린다.\n",
"\n",
"$$Cost = \\frac{1}{n}\\sum^n_{i=1} \\{L(y_i,\\hat{y}_i)+\\frac{\\lambda}{2}|w|^2\\}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 4.1.3 L1 vs L2\n",
"가중치가 작아지도록 학습한 다는 것은 결국 local noise에 영향을 덜 받겠다라는 뜻이다.\n",
"\n",
"**일반적인 경우 L2 Loss를 사용한다.**"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 4,
"metadata": {
"image/png": {
"width": 400
}
},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./regular.PNG',width=400)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"또한,\n",
"L2 Norm은 각각의 벡터에 대해 항상 Unique한 값을 내지만, \n",
"L1 Norm은 경우에 따라 특정 feature 없이도 같은 값을 낼 수 있다.\n",
"\n",
"a = (0.3, -0.3, 0.4)\n",
"b = (0.5, -0.5, 0)\n",
"이라 할 때, L1 Norm, L2 Norm 구해보면,\n",
"\n",
"$\\|a\\|_1=|0.3|+|-0.3|+|0.4| = 1$\n",
"$\\|b\\|_1=|0.5|+|-0.5|+|0| = 1$\n",
"\n",
"$\\|a\\|_2=\\sqrt{|0.3|^2+|-0.3|^2+|0.4|^2} = 0.583095$\n",
"$\\|b\\|_2=\\sqrt{|0.5|^2+|-0.5|^2+|0|^2 = 0.707107$\n",
"\n",
"즉, L1 Norm은 feature selection이 가능하고 이 특징은 L1 Regularization에 동일하게 적용된다. 따라서 L1은 Sparse model(coding)에 적합하다.\n",
"\n",
"단, L1 regularization은 미분 불가능한 점이 있어 gradient-base learning에서는 주의해야 한다."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 또 다른 의미의 regularization"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./regular_1.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"왼쪽의 경우는 데이터가 모델에 잘 들어맞지 않고 강한 선입견을 갖는다 하여 **underfitting**, high-bias문제를 가지고,\n",
"\n",
"중간은 데이터가 잘 맞는 모델, 즉 우리가 찾아야 하는 최적의 모델.\n",
"\n",
"오른쪽은 데이터에 모델이 지나치게 맞추어져서 high variance, 오버피팅 문제가 발생한다.\n",
"\n",
"**많은 feature를 가지고 있는 경우, 모델이 훈련용 데이터에 대해서는 비용함수가 0에 근접할 정도로 매우 낮은 반면에, 테스트용 데이터에 대해서는 대응을 하지 못하는 문제가 생긴다.**\n",
"\n",
"\n",
"먼저 feature들 중에서 중복이거나 예측을 하는데 불필요한 feature를 제거한 후에 regularization을 한다.\n",
"- regularization은 feature들이 y에 영향을 주는 경우에 잘 작동.\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./regular_3.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"위와 같이 너무 많은 파라메터로 이루어질 시에 오버피팅이 되므로 $\\theta_3과 \\ \\theta_4$를 거의 0에 수렴하게 만들어 영향력을 줄여 smooth한 그래프로 표현할 수 있다.\n",
"\n",
"따라서 regularization은 모든 가중치의 값을 어느정도 줄여줌으로써 모델을 간단하고 smooth하게 만들어주는 역할을 한다고 볼 수 있다. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4.2 Dropout\n",
"- 전체 노드를 사용하지 않고, 일정 노드만을 이용하여 train을 한다. 제일 마지막에 최종적으로 모든 노드를 사용하여 모델을 train한다. \n",
"\n",
"- It generate robust model which don't get affected by specific training data.\n",
"\n",
"\n",
"- **과적합에 대한 solution이므로 train-set에만 쓰이고, test-set에는 쓰면 안된다.** "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 5,
"metadata": {
"image/png": {
"width": 400
}
},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./dropout.PNG',width=400)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dropout의 효과\n",
"1. Voting 효과\n",
" -일정한 미니배치 구간 동안 줄어든 망을 이용해 학습을 하게 되면, 그 망은 그 망대로 오버피팅이 되고, 다른 미니배치 구간에도 마찬가지로 그에 대한 망이 오버피팅 된다. 이런 과정을 반복하게 되면 voting에 의한 평균 효과를 얻을 수 있기 때문에, Regularization과 같은 효과를 얻을 수 있다.\n",
" \n",
" \n",
"2. Co-adaption을 피하는 효과\n",
" - 특정 뉴런의 바이어스나 가중치가 큰 값을 갖게 되면, 그것의 영향이 커져 다른 뉴런들의 학습 속도가 느려지거나 학습이 제대로 진행되지 못할 수 있다. 하지만 dropout을 이용해 학습을 하면, 어떤 뉴런의 가중치나 바이어스가 특정 뉴런의 영향을 받지 않기 때문에 결과적으로 뉴런들이 서로 동조화(co-adaption)되는 것을 피할 수 있다."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4.3 Autoencoder\n",
" - Forward Neural Network\n",
" \n",
" \n",
" - Train training set to compressed and distributed representation.\n",
" \n",
" \n",
" - If data has overfitting problem, it is pre-processing(like PCA) to encode more simpler data.\n",
" \n",
" \n",
" - Input and Ouput is same shape but not same value(output value might be compressed)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 5. Gradient Descent Method\n",
"\n",
"- 무조건 Convex function이어야 사용 가능하다.\n",
"\n",
"\n",
"- 모든 점에서 미분이 가능해야 한다.\n",
"\n",
"\n",
"- cost function의 최소점으로 점 점 하강하여 찾아가는 방법.\n",
"\n",
"\n",
"- 점에서 기울기가 클 수록 멀리 나아가고, 작을 수록 조금 나아간다. 보통 최소점에 가까이 갈 수록 이동거리가 작아진다.\n",
"\n",
"\n",
"- 기울기(Gradient): 모든 변수의 편미분을 벡터로 정리한 것.\n",
"\n",
"$$예) \\ (\\frac{\\partial f}{\\partial x_0}, \\frac{\\partial f}{\\partial x_1})$$\n",
"\n",
" - 기울기가 가르키는 쪽이 각 장소에서 함수의 출력 값을 가장 크게 줄이는 방향"
]
},
{
"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(\"./gradient_descent.PNG\", width=500)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5.1 Derive Gradient method"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 2,
"metadata": {
"image/png": {
"width": 500
}
},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(\"./derive.PNG\", width=500)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5.2 알파 : learning rate\n",
"\n",
"- 업데이트를 얼마나 빨리 진행할 것인가. Gradient Descent에서 step할 거리를 어느정도로 할 것인가를 나타낸다.\n",
"\n",
"\n",
"- 즉 learning rate가 크면 더 큰 폭으로 업데이트가 진행될 것이고, learning rate가 작으면 작은 폭으로 진행될 것이다.\n",
"\n",
"\n",
"### Too Big learning rate\n",
"- learning rate가 크면, 업데이트는 빠르지만, 최소점에서 딱 멈추지 못하고 넘어가버리는 경우가 생길 수 있다.\n",
"\n",
"\n",
"- 심한 경우에는 튕겨나가는 것처럼 발산하는 수도 있다."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 3,
"metadata": {
"image/png": {
"width": 400
}
},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./overshoot.PNG',width=400)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Too Small learning rate\n",
"- step이 너무 작아, 업데이트가 너무 느리게 진행이 된다. 따라서 시간이 매우 오래 걸리고 최악의 경우, 최적점까지 도달하지 못하고 train이 끝나버릴 수 있다.\n",
"\n",
"\n",
"- 결론적으로 최적의 learning rate를 구하는 방법은 여러번 시도해보고 그 안에서 유추해내는 수 밖에 없다.\n",
"\n",
"\n",
"- 보통은 0.001, 0.01, 0.1 사이에서 찾고, 3배씩 늘리거나 줄여가면서 시도해본다고 한다. from coursera"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 4,
"metadata": {
"image/png": {
"width": 400
}
},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./small_learn.PNG',width=400)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5.3 Normalization\n",
"**If there is such big difference between data, even if learning rate is good enough, It could be bounce out**\n",
"- Normalization could be solution for it\n",
"\n",
"\n",
"1. Dataset Normalization\n",
" - 표준화가 되어 있지 않은 경우 => 출력 값의 분산이 커진다.\n",
" - cost 함수의 모양이 긴 타원형이 되어 Gradient Descent의 속도가 느리게 진행된다.\n",
"\n",
" - 표준화가 잘 되어있는 경우 => 출력 값의 분산이 유지된다.\n",
" - cost 함수의 모양이 원형이 되어 Gradient Descent의 속도가 빠르게 된다.\n",
" \n",
" \n",
" - 표준편차를 구하기 힘들다면, 데이터의 범위(Max - Min)로 대체해도 무관하다.\n",
" \n",
"2. Batch Normalization\n",
" - 표준화가 잘 되어있어도 레이어를 거치면서 어느정도는 흩어 질 수 있다.\n",
" \n",
" - 흩어짐이 계속되면 결과에 영향!!\n",
" \n",
" - 해결책: 입력 데이터 뿐만 아니라 배치단위로 매 레이어에서 표준화를 한다.\n",
" \n",
" - 매 레이어마다 부분적으로 보정을 수행하여 전체적으로 왜국이 일어나는 것을 방지.\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\\* **표준편차를 못구하는 경우, 변수의 범위(max-min)로 나누어줘도 됨**"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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hDgDQkZoR7jTUabhTOu6OWbPoRIQ7AEBHaka4M8usKF2PT7tnDZ1Jqy17lYo+B2g3wh2AjpS/flVys2fkVGZcxv7thMxcy9s/KZW/npOPMr+VkeQxSb0+LRcXvJ8XJ0u5KXktnZa0VV6d/FJu2Y+XW5SrM28Vnpe2Es3E7Lf2452h2eFOg5q23r17qvj/+ve0Vc+v6M9ZQgVRQLgD0CHycjP7ujx1cJ8M9m+QRFeXdC2XtbJjNFsWYvLzH0lq5x2O562XvePnrFeKs+uSTQ0E2978ORnfu7743MRuGTt70/5BZ2h2uNM19Eyo09CmLXN+dGFmHaPHHTMQBYQ7AB0iL4sLi9b/Lsn182/JkbvX2AHGLuuelIm5Jfu5XsGuWHqTU7JgPyeWlj6R1Jae4vZ275PxC/5bm78wLnu7i/slsWNMznZY6m12uDOtcVoqhTbTssf4PEQF4Q5AB8rLtamn5E5HaCtppcrnJPPTPuuxtfIPfXestPIl7pXh6bnCK8TVUjYlW+zt7d47Lhd8A9uCXBjfJ92F5/bKjrFZ/xa+iGpWuNOxdlr09XXMXaXgpi12BDtEDeEOQGda+lRG772tGNrsUmx9uiHnx4dk085nZTJ3zQoseVmYz0l2+rTMFP4dZ6unS1aFHe6029W01mm4M4FNA57+20lb8h58tPh8nWELRAnhDogAHbitXTtagWiFoZVLpWK6jVa3m3J2bHfp2Lvuf5Lf/fll2Xv3E5K5GOvOV2+rqEtW6bkQBj33NKRpC5yef+7zy0yscHbN6vPcgQ+ICsId0CZaYWglooOwtZLSAdvaxVNp0DZK5c+OyY6EI9x1dUtv7z1yaOJiy1vo8ldn5cOpKZlquHxYaGGsx2rqklWNhDttlTNdrhrUNOBpeNNz0uvLk3mO0t/TfwNRRbgDWkwrEDOeR/+fLp0G5D+T0W2lEysSO9OSa0NSWZhKSq/jfdRfemUw/aX9qrVYXV2yqtZwZwKdfqHSov/tHivnF+402JkZsxoIWc8OUUa4A1pIKxKtVLSSoHIIgzPQ2OX2pEzdaH26c64t11h5TTLZOiZ9rLIuWVVruNOuVz3/KrWO+4U7/VKmf09/X1vYgSgj3AEtot/8tXIwXTsIQ15uTh+TTc5w19Uvw9Pz9s9Xj9XWJWvGwdVCv1zp71QaK+cX7pR+KdNwB0Qd4Q5oAQ10Wqm4u4BqpZWLtj6YopWUVkT6+o2+dmfKy8IXL8h217i7TcOnpTM7Guu1+rpkzczWWul5YiZDOCdIGHqO+X0B02DHWDt0AsId0GRhBTulr6GVminaPaThTis5rXi0ZdBUTl4VV+zc+lTGdm+T/nvssGLKpmMyfbND+xrrsQq7ZOsNd0rPDQ1pWtznib6mvrabnlP6Mz3HGFKBqCPcAU3U6gVOtaLSv2kqoUqtEB0vf1Wmj/1Ido2eka8nj8p6Z7jr+r4kp76xn6gWZf5vn8pX11fuYOFr4bxMvjAiqYlzHXMnC2eXbNe2UZltRpdsxPaLHueVuleD0N93n59+4U6/POnkJz2nGHOHqCPcAU1illloVbBz06Cnwc50JbXrfTQsPyez75yQdPqETGQvF4PFwtcynXpIth16U3ILVjy59p4cXp9whLsu6XnkpFy2k0t+7pQ89VBKzlyvHmUWp4flDn2N247IZBsmZtSudFJJ9z5ru+2flLD22Zn0k7K11+ynAUllrxd+lL/yobz2zvmKQS9q+6XS2Lha6DniHAur54v7XNFQp48rfR5ds4g6wh3QBFoBtDPYuWklqO/HVGCdY1EuZx6XdXZw0duJ9Q3cLwN962TtzufkzPyi/bx5mR7ut59jykbZO/qBnP3iHTm++2FJ/TXgJIuFczLx7C8kmT4j852Q7ZxdslrW/bO8evbb5aCWv35BZt4elYM79snx/3pRHltjP6/ngGT0Xrz5y/LBr47Lf102+9JHxPZLWOFOaUudnh/6hUyDnpu25jlb6+iaRdQR7oCQaaDTi79X1047aeuDVmBhVYitMS9TSb1HrB1I7JLYfETedt2BIn8+LbvssWQlJXGPHHrrq47pYq1VSZesKb2bZXDoZzK0Z0D6etdL//4XZeriDZFcWgaXn7dJ9gyPyvOHH5afjp/tuP2jQSzMY1nDmrbI6bnrHIdnZuU6H6NrFlFHuANCpBWAdt9E9cKvwVMrsEbHKrXOglw8OSRrlwNJj2zc+7xMX7ll/9zphuTe+rlsTpjnWmXt/ZJ8u5YxYjfkUvZ9ybz+rswG6MJtv2KLZeK+/fLznXesbHehrJXNe5+S9NQ5Wd4Ud/d14i7ZO/pRgJa46O0Xv7FxjdDX03DnbHXXc0WDpJO2gGvAA6KKcAeESC/4bb/o68D31BOyZ/DHcij9VymOqlqhAVQDnhZna0Rk5a9J7qM/yPirJ+WdmdxKUPG0JNdzM/LOyf+Q8cyUzF71CoFebsjs+FPy2OCm4r1qt6QkG2DuRdsVwtra4sSIhSvyxeQb8mo6La+efFfOfDnnEWp1//xZ3ng1LenxP8hHuWtVJlREd780K9zp62p405CnX9K8umD1vHG38AFRQrgDQmIGXbf3gn9Lzqd/bM+GtIrPzEl9jxpCOybgtcjizIjc1THr5C3K5ZOPSY9jYkSzRHG/NDPcKW250xY8PUe86OOdN4YVqwXhDgiJBru2X+zzszK2o9fudkvI+sPvSaVb0GuXk1/ltfqYWad9cnjyqv1YhN2akdS221owezWa+6XZ4U6/9Gi40/NazxF365226nXO8AasNoQ7IATOpRLa6tsJOWhmQ3b9o4zMfGv/wJ9WZlRSFhOM1zwhE99GY1yZv1uSG3+0OBZxMC05+9GmiOh+aXa408ka5r/NskbOv2cmWgBRRLgDQqCVQCQmUThmQ3bvSsv5AHWxtlBoy0RnzaINn7lzQ89QRuq4bX9L5a/8UQ5t7C5+zn7r2oUkqvulmeHOtNo5X19b5fUx53muX+iistwR4ES4AxrktVRCuyxMJaW3EO7cd2iozIwvWr3j75ZkLnNAeqrdlzUSbsgXow8UJzh0dctdIx9LlRXqGhDd/dLMcOdstXPS80QDnY5X1XNFW7yjOjMeqxvhDmiQXtyjsSxCXr6deELWWJV+4t5R+aLGWY2re4D4ZZk4eGeH3Ej/S0kP2uMqu3fJ6OeVRlU2Krr7pVnhTsObftHxa5HTUKfnuwl5q73FG9FEuAMapBf4aISiBcml91iV/ibZn7lQcyvLqh4gfuMDSd6e6JAlUK7JF//+mGzd/rikJs83d/HhCO+XZoU7XeLEva6dFz1fNAQS7hBFhDugQdEZd/OtTA9/X7ruPi4zt2rvQFvNA8TNUh/N7eLsPFHeL80Id3oOmC7XIPT5WoCoIdwBDdJv+tHwjUwe7pdd6bN1j43SoKozf1cXs9RHvwxPB7z/7KoQ7f3SjHAHxAXhDmiAVi5hrROXv35VcrNn5FRmXMb+7YTMXPOOaPnrOfko81sZSR6T1OvTcnHBPO9rmXpx3Pf3gtAupmiMH2yh/Gcyum2NJLalJFtHi2dsRXy/EO4Af4Q7oAGNjVPLy83s6/LUwX0y2L/Bnv1oylrZMZoV982z8vMfSarkHqLhzmLULqb431YpLwuXPpUPs5dkwfrvW9mUbOvulyPvXQptP3amztovhDvAH+EOaIAOvK5/QHVeFhcWrf9dkuvn35Ijd69xhDarrHtSJuZWRrGXB7ti6U1OhTqoPv6zZi9JZsgK01tG5PS5U3J8170Bb54fd521Xwh3gD/CHdAArWDCGaOWl2tTT8mdJcHN0SqXz0nmp33WY2vlH/ruWGnlS9wrw9PhLi3rXtplcfakPJNMSrLh8oyMTn1tv2o7Lcp89j9l5MhhOTryskzMzkWyZar1Omu/EO4Af4Q7oAGhzpRd+lRG773NEe66JLFjTM7mb8j58SHZtPNZmcxdsyrcvCzM5yQ7fVpmCv8Ol3vW7MrCyI2WXhlMf2m/KtAYwh3gj3AHNCDcmbI35ezY7tKxd93/JL/788uy9+4nJHOxqSualXDOmtWJHn/P5STXcPm7XJpv3TYg3gh3gD/CHVAncyuiMOXPjsmOhCPcdXVLb+89cmjiYku7yHQsYZCFXIF2IdwB/gh3QJ20YtEKJlT28hMr4a5LEjvTkmvx4CfdtrCWeKmVc9spnVdahXAH+CPcAXVqSrhbXjjWUWHenpSpG60f2t6uJVFKtp3ScaVVCHeAP8IdUKfmhLu83Jw+JptKKsz23CGAyhNRxvEJ+CPcAXVqVrhb+OIF2Z5whrtu2TR8Wm7az2gV3TZd725xZlR+NDgogw2XH8nhzN/tVwcaQ7gD/BHugDo1Jdzd+lTGdm+T/nvWO8KdVTYdk+mbre2a1cWZtRDuEEWEO8Af4Q6oU+jhLn9Vpo/9SHaNnpGvJ4/Keme46/q+JKe+sZ+oFmX+b5/KV9dX7mARNhPugCjShbbjfScVoH6EO6BOdYe7/JzMvnNC0ukTMpG9XLx12MLXMp16SLYdelNyC3mRa+/J4fUJR7jrkp5HTsplu/EuP3dKnnooJWeuV2nNWzgvky+MSGriXM23KCPcIco4PgF/hDugThrual8uZFEuZx6Xdcuhba30DdwvA33rZO3O5+TM/KL9vHmZHu4vCXddXRtl7+gHcvaLd+T47ocl9dfqkywWp4flDv3d247IZI0zbqk8EWV6bP7y1/Y/AJQg3AF10mVCar9DxbxMJfUesc7Q1iWJzUfkbdcdKPLn07Kru/R5hZK4Rw699VWwlriFczLx7C8kmT5T8w3gCXeIsqaMeQVignAHNEDvwVrbvWUX5OLJIVm7HNZ6ZOPe52X6yi375043JPfWz2VzwhHs1t4vybdr72KtB+EOUUa4A/wR7oAGaOWilUxN8tck99EfZPzVk/LOTE4qD5tbkuu5GXnn5H/IeGZKZq96hUA/N+RS9n3JvP6uzFYbm+dBu7zeyNj/ACKGcAf4I9wBDdAAFL3WrRsyO/6UPDa4SRLa2rclJdk6JtXWFVyBFtFjs123yAOijnAHNEBbtnRJhihanBmRuxpYAJlwh6irfcwrsDoQ7oAG6Hi7bT+0/xEp5h61fXJ48qr9WG10u2obTwi0FuEO8Ea4AxpU+6SKFsjPytiOXula84RMfFv7eDtFxYmo4xgFvBHugAbpuLvnX7L/ERH5C+Oyt7tLeoYyMmc/VisqTkQdxyjgjXAHNEhb7bT1Tte9i4YlmcsckJ6u9bJ3/JzU125HxYno4xgFvBHugBDo5IPozJq9LBMH75SuxG4ZO1vPVApmIqIzaLiLzpcqIDoId0AILl8pVjT6/2134wNJ3p6oewkUxRpi6AT6BYQZ3UA5wh0QEh17F4V7XZolUO4a+VjMnWprRbhDJ2C5HsAb4Q4ISTRa78wSKP0yPD1vP1Y7Xb8vCkEVqIRwB3gj3AEhanvrXf4zGd22RhLbUpK9Ve9UCu4ri86gC4i/e8r+B4BlhDsgRK1vvcvLwqVP5cPsJVmw/vtWNiXbuvvlyHuX6p4lq7RF5PRf7H8goCW5fjUnszN/lqkPJuTkq2lJpwOWTFbqb2ddvfgSAngj3AEh08qmdePVLklmaIMktozI6XOn5Piue2Xv6Ecy30iys0RmckgnWLgg068/K48PbCzey7fm0iNbUp9Y0RC1YvgA4I1wB4RMl2bQW3e1prtoUeaz/ykjRw7L0ZGXZWJ2rqEWOxXdW6pFje77V+XQ1nUega2WMiCp7HX7NVELJv4A3gh3QBNol6YGpE5cg0vvtkFrSDU3JPfWz2VzYiWkJTbulJ//5mU5OfG+TE3NyGzunHzx3q9ke/ftsj35qrw3NWU97lE+nJWrjSbyVUrPL21lBlCKcAc0ibYodOJ4oEjeKzdSXMGu9x/l0G//LBcXvBLaNcmmfiCJxD1y6K2vZMF+FOHRL1HMmAVKEe6AJtGA1Glj17QrmS7ZSvJy6/MXZEe3HezW/khSZ76p2BWev3xSHumxnpvYLiNnmDYRNm1l1rF3AFYQ7oAmau3kisa1bqxgh7qVldEda+2u2Dvl0ZPnq49xzP9NxrbfVuy6vXdUvmDmRKiYVAGUI9wBTWQmV3TCsiKdFkRbLy/XJo/K+kKw65LuXWk5H2isnH2v38Lv3S+jszfsxxEGJgAB5Qh3QJNpsNNxbFGeXKFdx/oeGbtUSXHZmWJI2yBDmUv249Wcl/E9ZkZtnySn6JoNG0v3AKUId0AL6Er6WqJKb8Cus2RRwbcTcnBNsdWuq+eAZOYC9q8ufiwjd3Xb4Y5lT5pBW5xZdBtYQbgDWkBb7TRARW32rL4vHa+k7w1V5NIyWAhoVtk+Jl8GXL5kKZuSLeb31h+VyWsBfxGB6ReTTpyZDjQL4Q5oER0bFKWuT30/Guq01SPKXcZRsTg9LHfYIa1730m5bD9e2bxMD/fbrXbdcmfyT3LN/gnCo5MqotwyDrQa4Q5oIZ2JGoV15LQy1PdBa0cNLo7LHrO23WBacvbDleQv/F4eXZco/s7aR2U8d8v+CcLEnSqAUoQ7oMVMsGpHwNNKUGcWamHyRI2WPpXRe4tLmgTqXl04K+OP2LNkE3UuYrxwXiZfGJHUxDkWQK7ATAgCUES4A9pAW8y0MmrVIHDTsqF/kwVf67UolzOPy7pCF+sG2Zue9Q9cC19J5sh90ttIsLMsdwXfdkQmbzBWrxJuQwasINwBbWKWSNHQ1axlHJyhTgMlY+salP+7vP3EPZLQwLX2fklm/ibXSzLXLbma/X/yf/bcZT0nIb39P5Ox6a/rb3VbOCcTz/5CkukzMk+2q4hwB6wg3AFtpGHLtOLpgPCwWvJ0bJ9OljB3nCDUhWjha5ke+5n09+pYuh7ZsPUhOfiLpCR/cVAe3rrBDnWPyrFXpyR3ndtRtIqeQ6x1BxQR7oAI0PCl3aUaxkzQ039ry1uQCkvH72mI02VN9Pc12HEbsebKX78on079l4yn05IulNfk5MSUzPztsqs1r1435FL2fcm8/q7MhvOCsaYt1IwjBYoId0DEaJgzQc10qWqXU6WiodAEQlovOt0NmR1/Sh4b3FTs/t2SkiwNgFUR7oAVhDsAiKDFmRG5q6tbNg2flpv2Y/BHuANWEO4AIHKuSzY1IHov2sOTV+3HUAnhDlhBuAOAqMnPytiOXula84RMfMt4uyAId8AKwh0AREz+wrjs7e6SnqGMzNmPoTLCHbCCcAcAkbIkc5kD0tO1XvaOnxPa7YLRCUXMEAeKCHcAECmXZeLgndKV2C1jZ5lKEZSuF8m9koEiwh0ARMmNDyR5e4IlUGpEuANWEO4AIELMEih3jXwsi/ZjqI5wB6wg3AFAZJglUPpleHrefmz10juv6Fi6IAh3wArCHQBERf4zGd22RhLbUpK9xVQKDWt6p5YgdDJF0CAIxB3hDgDaJi8Llz6VD7OXZMH671vZlGzr7pcj711ilqxFw50ucWJa5SoVc7s+AIQ7AGijS5IZ2iCJLSNy+twpOb7rXtk7+pHMk+wKtFvWK8j5Fda5A4oIdwDQNosyn/1PGTlyWI6OvCwTs3O02AFoGOEOAAAgRgh3AAAAMUK4AwAAiBHCHQAAQIwQ7gAAAGKEcAcAHei774pLf+jivWYZEH0MAAh3ABAhl68Ug5opJrxp0UV6H3xU5HsbikX/7Sy6LhwAEO4AoIVMi9vpv6yENr1tloYzDWwb+0sDm/7MPE9/R38XACoh3AGA7fmXisUZpBotb2SKr6dBbdsPS1vcTGjT5+hz6VYFEAbCHQDYnLe7MgGs0aL3PNXX07BItymAViDcAUCH0vF5WgDAiXAHABFgxuIFLdqVqy2DOkaPgAfAiXAHAE3kFcq0m1bH9mk4M+PwtOhMWGeXbqViunu1MFYPgBPhDsCqpsHIOXO1nqJBy4QubUkzYc0rsDlDmYY9xuEBCBvhDsCqpsFOQ5czrNVazGxXLXSRAmg3wh0AAECMEO4AAABihHAHAAAQI4Q7AACAGCHcAQAAxAjhDgAAIEYIdwAAADFCuAMAAIgRwh0AAECMEO4AAABihHAHAAAQI4Q7AACAGCHcAQAAxAjhDgAAIEYIdwAAADFCuAMAAIgRwh0AAECMEO4AAABihHAHAAAQI4Q7AACAGCHcAQAAxAjhDgAAIEYIdwAAADFCuAMAAIgRwh0AAECMEO4AAABihHAHAAAQI4Q7AACAGCHcAQAAxAjhDgAAIEYIdwAAADFCuAMAAIgRwh0AAECMEO4AAABihHAHAAAQI4Q7AACAGCHcAQAAxAjhDgAAIEYIdwAAADHS0nCX/Uzk+ZfsfwAAACB0LQ13b2REvrehGPIAAAAQvpaGu8tXiuFO/x8AAADha/mYu1/+WiT9O/sfAAAACFXLw91X50U29tv/ABBJ2rquwyfiUPSaAwCrScvDnXrwUZHTf7H/AcBTpYCl54+2gPsVbSF/7En/su2HxSESlYrX73Vi0euN1/YFLfpl1Ot1vYpOGPP6PEzRccden6cp331nf/gA0IC2hDu9yGnlA8SJthC5K2utzN0VvFcoqCdUuF/XWaqFCFqzggvailktcGs58rT3Z2mK13FQqWhw9XodZzFDYYIU3QavbaOEV9495b3v21W8jpkoFD1XvN6vV6l03K7WL0xtCXd0zSJK3BcDr4uvu1LW49dd0XqFMa+KVV/f/TdpsUE93MeRV/H6guFX3McvJfxSS2hpRYlqoK8lBHvtZ1Pc1+lWFvMetEVfz8NWfqluS7hTWhE2e0P19XWHmi4qr50fpWIOBGfxuxBUa5kxpRPp5+a1Lc5SqZXEr0vSr3vOq/XD/ZruQNbKkxQA0Fn0C7uzrtK6XIfDaPbROkp/1kxtC3e6oRpQwqaVru443YG6I/W/TRCKcuuIORDcxe/bi1+AcZZGxxq1q+jn5rU97uI3vqlS8AUAoF00o2g9pRlF6/dmaVu40wpYA14jzFgY3VFa2ZtAp5U+a+kBAIAo0hY9zS3N0rZwp+lVg1hQ2rKlO0ODm+4QbeHRMGdacDQB01UGAACiThumYhfuTIubBjTTXeZVNLBp96OGQH2u7ghtpdOQR8scAADoRJpxYhfudIM0sJluVP23VzHj8miRAwAAcRHLcGcGvmvRLlUAAIDVItbhTjdOZ3QCAACsFjrsrNFJpZW0Jdw5Z8rqWDoWcAUAdIxbn8joo4/L8TeyMp+3HwNqYBq5mqUt4c5JmyW1BQ/+FrNj8pPBQRm0y87khERnPsl1yY7tX35vg4N7JTlx0f7ZahTx/bGYlbGf7Fx5fzufkYkri/YPYyLi2xjt8xnVLcncxJOyrqtb7kz+Sa7Zj7YCdUF8mHVam6Xt4a6RDVyYSkpvV5d0mdKblKnrU5LsdTzWtUfSuQX7N5okf1GmT7wq6RPTcinwt7gvJT3Y63iffZKcmrd/VqpsOwfTkrN/1lT5b2Tmtz+T/t5E4e8mNj4ow2+fk9K9OS9Tyb6V99bVK4PpL+2fdQDrs5s4tFm6Ej+QVNa+TC+4jyH9bHIBt7Nd+2NR5mdelv3964p/N7FJdg7/UXILrgOybNtacH7Uo5HPoG3bGOwzaNv5HGH5K3+UQxu7JbEtJdlbjv2VvyCZ/ZusfbldRs54Xx+X1fLcRuTPSnqX9Rl3/1jS52/ZDwbXSL1FXVBd/tK0nEi/KiemL0rg6jiXlsHl920V/UwqXDLCOF61YUtX/miWtoe7RvqdC99iHuiXDQn9QHpkw/0vWjs6Ky/dv1EShQ+oTwZa8a3dVCZVDohSVqhI7rW+3fxA+jf0WO+/erjrTU65TqZmWpTLmcetb6f2fjT72RmCSixY58eetp3Q9cnLrWxKtiWsb+BH3pM5c44WWn7utz8X60K2Ya+8lL0s2Zf22sfaWukb2OPzrdRc4Pw/z2bIX35L9q/TC6++tx32e79NtqVmxLv6MV8uIhruGvkM6jofG1fzZ2AqlFUf7q5JNvUD65q9RY5MXi6rkPPn07Kru0u6d6XlfJXaupbn1icv16aekju7ErJu/1tyuY6/0Ui9RV1QXV376MqEJHcOyqDZtorXjnCOV10ppJkrgbQ93Ol6dbokSv2uyeeju6S7a43cnTwlc0vn5eSjd1oH1mY5ZF34m3J+uzVUmVQPA205ofOzMrbDqvyXT+CVE7xnKCNzxWc5dGK4+1omDt5lbeNuGTt7037MsILf5y/IDuskTdz9jHwwd0MunNxf6IrZeOiPcsX3wGpHuLspZ8d2WxeblSCxHDR6Dkhmbqn4tBIRD3cFdX4GbQl3dXwGhLuiubfloLWfEjvG5KznZ2qfp13/KCMz39qP+anluXUwrXa+wSao+uot6oLqGtpHQa4dIR2vOt+gmdoe7lTDCdb61jO6Y6118G2Rhx/7gaytWgEH4GqG7rK+qfVuuKNw0JRcjN3NuSXFXcHfkNzk8/L4gP0NTb+1DTwi+wa0Gydi4e7iuOzRbzDbx+RLsx9vTMrh26zH7hiW6bIvle09oety+aTs0+Cw0/o8PY+VlQvw5ocfkQfWWsfCxp9XaQluR7g7L+N79BjaJWNfmjaib2TysF5gvi/D014XmE4Id6qOz6At4a6OzyCMcGe21b6e3LFhvXVtsa5VW5+Q3/zLQ7Kx0Dq0TrYeGpcvrjsOcuv6lh1Pys6NxZbR4rXokLww9T+Oa0xeFi5Oy+upI/Lw1g32Ncsq7u7mkvewTgYe2y+Dy6+7Tvr3vywz836flxUUTv6z9fmulZ3psz6hJi/XJo/Keuu6vmn4tBWjK6nlubWyvmzMHJe7G2i1K1FHvbU66wLXcActvXfIhkLd7Lx+mb9rP8dd3NeDhfMymXpcBuzega7ERhn46cMy0OPx3GXhHK+tWCkkEuHO3Ny/fivf8AsfUtUKuBpHM3Rig/Q/4Giu1cecF2Ntzh00zdT2c5cHlO6Xsex1+4mLcuW9X8jmwmtYF9L+H8jgQF8xLBZKo+HOev3JZ2SrHvC998nRib/7HHjBLE4Pyx1lf9MOBN3/LCcvu/dv2Cd0s+Xl24knZI31WWxJfSJebVsF5gJc+IyCtAYHC3f5K+9JcqterKyK9+gf5WJjH5YM36Gfu/OCZD6P22Xfyf+xH3PqlHBnqfUzCBTuwj1f6voMwgh3ru7rQreZ47qS2HCP3Nen+65XdozNFrcxf1Wmjw0Uw5p9zXqg3w5viX458t4le1+YLkh9LfuatXwdvE3uHf20eN6438Py65ohJ5WGB1yWiYPaYjUgqeVrpYe5jAxppbslJVnfk9VWy3NrYcZThdYqWHu9FaguyF+SyeSA9TwN+UmZuNjY+d3uumBluIN9DC4PZdL95rx+Wef0xDMyaB/LiQ398sByXWyVn4xJ1rxVax+9d6TfcQ48IAOF88T+LHyvHeEcr5p3NPc0UyTCnXNplLrdmpHUttusnR7GtypTQbtOYr+LcZDK5OZpGd7UbZ0MD8jxj7+xL57WN5K/vih7Cwduo+Huf+TkvtuLB6ZVEnvGpZF5St5/s1IgCPeENn9/+WRzlcr7Iojrkk0NWK91pxycuGw/5sWMr7D+7rrHJVN2IXMLEu7Mtz97exIPy/jFaq9bgefxV+3z6KBwV+tnECjchXu+1PUZhNYta465u+Tw5DcrrSprfiaZbxZd53Jebp45LlusgNa9/V/kTxdv2K9hXYs+/rVs15bse0flC1MhLZ2TUydOydnlljfTeuXeZ+Y9rJXtxyblot2ql58dlW2VtnHpE0ltsSrqNU/IxLcVLtr5z2R025oKwwwcanluYNZ2F8bnhjyer8Z6K1BdYPdIFI/tdbJnvLGBXdGoC3rk7pGPHV8Q/P9+9X1knQPTx2ST9Zzu7b+Wj82xnf9G/vrCT4qNOn7XjpCOV807Ot+gmSIR7rRLVrtm6zcvZ0a2Fy/+hdLoeDvrG6v14d9d+IaqRQdIP1BsabO+5R/JfFV60ASoTBZnRuQu67XWHJyQ0u985ptAB7XceYaRcE9o95T/0rJTfjKWtba4EUFCWF6un3lWti4fB0G6+4O8rvXKLWu587u4hxzuzDlQ2E+OUjFgBVHHZxAo3LWy5c7nMwg93NnHnGv7S68f5ktNQnr77nOdV/dJn+4P5/m9cE7ePvaQbNbHzWdqSsn79jnuq21joM9K1XK8hnxsF5hxVN+3ts8K0KGovd4KVBe0suWuBXWBXPtQhu+2glJhH5njVo/V9bL1yFu+s9H999E1mRnZZr2Wxxf7byfk4JoKx2NIx6vOM2j2/fEjEe5U/YsZr1z8E1uPy+m//rvsLYzLOSSZeg/qwtImr8hvnjggh/73ftljLnqFg8v6O5uflg/mHWk8wAduTpDycGfG5TQa7kIW+zF3AVrurn8kI1utb9U6rf30tKT3bih8Tj/N5CpcgIOFu3BFYMyde205U5xdIfWo5zMIfAEOU5vG3BXUEu7Mc62f+xb7mFjuhrQecww5We7CDSPcdUjLXfizcOurt1ZfXbAgl6bfkH//zWHZf+jnMrRnsLT7NLFVkh+UpqTq++hbmR7+vvX7Htd+s11+144Qjldd/qQVd+aKTLh7rN7FjM3Fv3uXjH6uM3muy9n0PlmrzdyP/l4u1HMi+lUO+b/LyUfusA4K18XaPN/uBim6IRenT8jxo/9Xpq9Zb+LanyR5p0e37OevyL5QumUX5coH/yLb9QLROyDJSTNuxsslyQxpJWm9Z79uLt8ZUglZf/g967uPW5gn9Mo2L5/ErtL4xW1J5jIHpMd3zJ35Vr1Wdoxm5Za1NxfOposX4HX75eQFv78eLNzlr5ySY9u1W3CdbE2+V6ElyrxP3e5Nsj9zweNzrTBTc/1RmdTjr0wzWjfCVudnECjchXy+1PMZBA531d5rLeHOLMC7VrYfn3bdXcG6Hp19X14/8VHxeDSV+t3HZcZeyys//7lkhndZ11f3+64z3C3v24BjmLaNyqzHrixRy3MD+cbaNg0DfXJ48qr9WIPqrLcC1QX5r+WDYw8UXqt36zMyWWkcn9lX+nf9uoWbWRdUfa9+11Md2vKYdV1MyB3D09a/Vph9tGZ/Rr4x27NwQaZf/1c5Ojptvd+VsaSl3bJz8vlvH63cLRvC8dr4HINgIhPuat/g4mrYy98idSCxthLcysrYg5vtYFBpPbIKzMVx+TUesL6xrgziTNx9rBjYlpkme7vJ2Dn5out+GZ3VcS0LcvHtIyUTKpbfe6HoY/d7djcGC3c1jCFaPqErzShzTCppw9pGze+Wtc7lC+OyV8cYuaa0l65DpZ//kIzpGmtj++wW3OLn7L06fJBwV8uYO0ew2GQddze9rr7WtiwPOg64xlrEw11Dn0GgcBf2+VLHZxA43FV4ryWTGYrXlZ2HD8rDuv3a2jb4jGR+f7Rw/Uhs2CoP6XmzMGu3gFrP0XNbzynnNStxn4ycsb68Lo8Hsweyl0wAs39X12O7NON6D3odm5GvJ56RneZ3zHPLKu8FuTC+zzoXHBM+yuTlhnUNvN3a/3eNfFzlvK/lucGYVruyBWvr0li9FaguCDzmzvnFsV+Gpytcr5pVF1R9r+Z6qj+361freF2ZAHSv9b5di7HYS5UU9+MDpfWsCVv5v8vbT9xjv4Zz8o/9vMJjzgmRRmPHq/ZOai9ls7tkVWTCXe33WXN+6HbRi3nZSt91hA1TOXT/g9z3j2bZEqvoVOnHn5fJnBmEvCI//5GM7r1r5bm9m2Xw4LMyfuq/Hd+O3UuhWAdr/0P2UijF3/M6aYOFOys8TiQDjCFynNDVVlgPtCq5UcMJHRWmJTbxgIx+sfKZmv1tPpNiUHPfHcEqnpVykHBn/emLf5SjQcbcLQeLdbLLd+q9ci0X4HeHimXRDncNfQaBwl0TzpdaP4PA4a7Cey35ImqXASusLT+2R8bSh5f35fI1xL0MhFUSG+6VfcmXZGJ2zn79vCzk3pWRPea6Zl2vNu+Rw794WPrs3ykcP19Olr2H3uSkfFm4Hjgf9z7W8lYF/4h1jJdM5ChxVSYPW5+76zz1Vstzg5iX6eF+6737tZrXqrF6K1BdYF3XJo7eZz3P+rwqjrlb+eLYXa27uVl1QdX3avbXbdJ339aVLyD6JWLgcUlNnvd4D9Z5eOYF2bu8HI+Gwp1y8Pjv5NTZece54z4H1kn/P/2kuBRK4d/e1/BGjlfNOM2eJWtEJtw1cqeKuCur6KpWBpWYEzqs+yK6L1YdFO6s07zYPB/mPSLD3B+OYHHnUzLl2b1ao7IwEOVu2TqFuo1hny9hn89xYLo9vSYraFf8b2Vnd5DZpLU8NxjTGhtOq13jQj12lr84hjVJpJPrglrUf7zqxNFW3Us/MuFON/ixJ+1/oIS7i7Khm0XfmJbUg9br7PxfMn42jG+2xW6GlS7TDrtZdN5eGd63i6FWYe6PeZlOPWK9xoNyYPxvVtQLgXviQ8Ruqh+KMLcx9PMl5PM5JvIXfi+PeoUoM6ljeWxaBbU8N5C83Jodl0MD35cfj5+z/tV+4R07eevQTsmD+hoHxuVsKBeXDq8LalDP8aoNWI2tClIbwh0AAIgMzQPuouHIDN8yRbs4NTdUKhqodJxbo0VnuOrr6d80f19nvup7q0aXe9PlT/T5rRKZcNf4Wnd+FuXi+MMrY+EqlsYXfAQAYDXTCQOVgpk7lLkDmAlSzqLDtpyvoUUnYTr/jlcJ6+b85vX0b+rffv6l4vvS96rvWbfBvFf9mfN9arDTx1opMuFO6Q4CAACtoTM4nWFIi7YwOcOJFhNm3MUZykzRMON+nvO13KEsrADWTs7tcW6rlmbfjcIL4Q4AgA7mDBbuliVncYcwU9zP0+IOKFqcf8eU+m4+gGYj3AEAECHO8GSClbMrU1vGnOHM2Y3pNSbMFILY6kG4AwCgibTb0R3WnC1rZtyWV1gz47ecXZlx6MZEcxHuAACogXOcmnOygLN1zTlJwG+wvXkNLbSqIUyRC3cc4ACAVnPO8DThq1LrmnncOYuT1jVERaTCnZ4oelIAABAGr9DmbGEzYc05w9M5bs38LnUTOgnhDgDQkZzdoyaMaUua1iXOblET2rzGr9FbhDgi3AEAIsPZ0hZkPJs7uOnv6O/SLYrVjHAHAGgav7BmQpkW59Iezu5RxrMB9SHcAQACcS7pYRbL1eJsVXNPPPALa6aFTYsGQADhIdwhNM4Lf1SL1211Wl2clZoWWiHQSs5xalqcrWlaKgU155IezkkHzlY1LQDai3AXAc5uC1Oc34pbUZxT/r2K8wLvV5wXfucinFErXtvfymIGfJviHD9kivPn7uJcJ8uvuI+nIIWQ2XzuYFWtuINXkOIMZ6a472jg/JmzNU0LQQ3ofIS7BnhdqJ0XSVO8gpPfGBNTnN+KW1Xc2+IszChrnUoBIEjLY7Wg7le8QmbQ4nUMr/bitz+9nutX3MErSHGHMy10ewKrS6TCnQk0zVBLV4S7VKr03M/1a1Vx/m0ttJIgTmptkVoNhXMcQLtEKtxpq4S2AGiXngYi902P/YoJas4WC3c3hDuIVeuKcBYu0gAAoFNEKtwpbQHQsFZr15IJaSaQ0Q0BAABWo8iFOwAAANSPcAcAABAjhDsAAIAYIdwBAADECOEOAAAgRgh3AAAAMUK4AwAAiBHCHQAAQIwQ7gAAAGKEcAcAABAjhDsAAIDYEPn/VLkEWPnWfVAAAAAASUVORK5CYII=\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 8,
"metadata": {
"image/png": {
"width": 400
}
},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./standard.PNG',width=400)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5.4 Backtracking Line Search\n",
"- 현재 위치에서 한 step 가보고 너무 많이 갔다고 판단되면 다시 되돌아오는 방법. \n",
" \n",
" \n",
"- 1번 함수는 현재 위치 x에서 접선방향으로 한 step 가는 경우인데, 항상 f(x+t*grad(x))가 위에 존재하기 때문에, step이 적절했는지 판단하기 어렵다. \n",
" \n",
" \n",
"- 2번 함수는 기울기에 a(알파)를 곱한 기울기로 한 step간 경우, 항상 f(x+t\\*grad(x))와 교차하므로 step 후 위치가 2번 함수보다 위에 존재하면 너무 많이 갔다고 판단하고,그 반대의 경우에는 적당히 잘 갔다고 판단한다.\n",
"\n",
"\n",
"- 너무 많이 간 경우에는 돌아오기 위해 t를 줄여 f가 2번 함수 아래로 가도록 조정한다."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 3,
"metadata": {
"image/png": {
"width": 500
}
},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(\"./back.PNG\", width=500)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5.5 Backtracking Line Search Algorithm\n",
"- 직관적으로 $\\alpha$는 **다음 stpe의 방향 결정. ($\\ast$ 주로 $\\frac{1}{2}$)**"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(\"./back_01.PNG\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5.6 Adam Optimizer\n",
"\n",
"- local minima에 갇혀 학습이 진행되지 않을 수 있다.\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(\"./adam.PNG\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 그러나 최근 연구에 따르면 이러한 local minima는 차원수가 증가함에 따라 기하급수적으로 등장확률이 희박해지고 대부분은 saddle point라 크게 문제가 되지 않는다.\n",
"\n",
"\n",
"- 실제로는 경사가 작은 평평한 구간이 더욱 큰 문제로 작용"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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