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October 11, 2019 03:01
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# 1. Machine Learning\n", | |
"\n", | |
"**인공지능이란** : 인간의 인지와 관련된 기능을 모사하는 SW/HW\n", | |
"\n", | |
"**머신러닝** \n", | |
"=> A computer program is said to learn from **experience E** with respect to some class of **task T** and **Performance measure P**, if its **performance** at **tasks in T** as measured by **P**, improve with **experience E**\n", | |
"\n", | |
"\n", | |
"- 간단하게 말해, 가능한 모든 경우의 수를 프로그래머가 정의해주지 않더라도, 데이터를 통한 학습을 하여 최적의 판단이나 예측을 가능하게 해주는 것을 말한다." | |
] | |
}, | |
{ | |
"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": 600 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('./ml.PNG', width=600)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 1.1 표현형 학습(Representing Learning)\n", | |
"\n", | |
"- Deep Neural Network가 높은 성능을 내는 배경에는 **복잡한 데이터 공간을 선형분류가 가능할 정도로 단순화해서 표현**하기 때문이라는 이론.\n", | |
"\n", | |
"\n", | |
"- 다중선형 회귀에서 설명변수(X)와 종속변수(Y)사이 관계를 선형으로 가정, **데이터와의 오차가 가장 작은 직선** 을 찾은 것이 목표.\n", | |
" * 하지만 XOR 문제와 같이 데이터가 선형 관계가 아니면, 높은 성능 불가능\n", | |
" \n", | |
"## 1.2 Performance(성능, 성과)\n", | |
"- Train-Set Error : train-set에 대해 수행될 때 생기는 에러\n", | |
"\n", | |
"\n", | |
"- Test-Set Error : test-set에 대해 수행될 때 생기는 에러\n", | |
"\n", | |
"\n", | |
"- Generalization Error: 새로운 데이터에 대해서 얼마나 잘 알고리즘이 동작하는지에 대한 측정.\n", | |
"\n", | |
"## 1.3 통계적(Statistical) Learning 이론\n", | |
"- train error로 test error를 제어하고 싶다.\n", | |
"\n", | |
"\n", | |
"- i.i.d. 가정이 필요 : train과 test points는\n", | |
" - independently sampled\n", | |
" - identically distributed" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"\n", | |
"## 1.4 머신러닝의 분류\n", | |
"\n", | |
"1. Supervised Learning\n", | |
" - labeled data\n", | |
" \n", | |
" - classfication : 신원 사기 조회, 이미지 분류, 고객 유지, 진단\n", | |
" \n", | |
" - Regression : 광고 조회수 예측, 기상, 마켓 예측, 기대수명 예측, 인구 수 증가 예측\n", | |
" \n", | |
" \n", | |
"2. Unsupervised Learning\n", | |
" - No label\n", | |
" \n", | |
" - Find hidden structure in data\n", | |
" \n", | |
" - 차원 축소 : 특징 제거, 구조 발견, 빅데이터 시각화, 의미있는(meaningful) 압축\n", | |
" \n", | |
" - 클러스터링 : 추천 시스템, 타켓 마켓팅, 고객 세분화\n", | |
" \n", | |
" \n", | |
"3. Reinforcement Learning\n", | |
" - Decision Process\n", | |
" \n", | |
" - Reward System\n", | |
"\n", | |
" - 게임, 기술 습득, learning task, 로봇, 실시간 결정\n", | |
"\n", | |
"\n", | |
"# 2. 소개\n", | |
"\n", | |
"1. how deeplearning works?\n", | |
" 1. deep learning setup.\n", | |
" - 기본적인 셋업을 한다.\n", | |
"\n", | |
" - Model selection(CNN, RNN, GAN, MLP. ETC..)\n", | |
"\n", | |
" - hidden layer 개수, unit 수, 입출력\n", | |
"\n", | |
" - cost function, Optimizer selection\n", | |
"\n", | |
" 2. Training\n", | |
" - input: data, output: labels\n", | |
"\n", | |
" - **what is learning : Weights and bias getting updated minimizing cost function**\n", | |
"\n", | |
" 3. inference / Testing\n", | |
" - input : real world value\n", | |
"\n", | |
" - output : inference results based on updated Model Parameter(Weights, bias)\n", | |
" \n", | |
"\n", | |
"\n", | |
"2. Overfitting(과적합)\n", | |
" - not enough data set to train\n", | |
"\n", | |
" - too much training : model'd be going to fit too much on training set\n", | |
"\n", | |
" - solution\n", | |
" - More training data\n", | |
"\n", | |
" - Auto Encoding\n", | |
"\n", | |
" - Dropout\n", | |
"\n", | |
" - Regularization\n", | |
" \n", | |
" \n", | |
"3. CNN vs RNN\n", | |
" - CNN(Convolution Neural Network)\n", | |
" - input always be one-dim vector. (limitation)\n", | |
"\n", | |
" - In real world, many data is multi-dimensional. (need new architecture to treat multi-dimension data : CNN)\n", | |
"\n", | |
" - Mostly used on visual information Learning\n", | |
"\n", | |
" - RNN(Recurrent Neural Network)\n", | |
" - There is no time concept in CNN\n", | |
"\n", | |
" - time index showed up as chain on NN model\n", | |
"\n", | |
" - Two main model : LSTM, GRU\n", | |
"\n", | |
" - Mostly used on time-series information Learning\n", | |
"\n", | |
"\n", | |
"4. GAN (Genrative Adversal Network)\n", | |
" - Training both of **generator** and **discriminator**\n", | |
"\n", | |
" - Generate samples which are similar to the original samples\n", | |
"\n", | |
" - improve performanec by competition between both of them\n", | |
"\n", | |
" - in the end, eliminate discriminator => Generate would be the best model" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
" " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# 3. Loss vs Cost 함수\n", | |
"- loss : 하나의 데이터에 대한 loss\n", | |
"- cost : 전체 총 데이터에 대한 loss\n", | |
"\n", | |
"**이렇게 구분할 수는 있지만 보통 같은 의미로 사용된다.**\n", | |
"\n", | |
"## 3.1 Convex 함수\n", | |
"- cost함수가 무조건 convex해야 Gradient Descent Algorithm 적용이 가능.\n", | |
"\n", | |
"- 함수 f가 다음 조건을 만족하면 convex이다." | |
] | |
}, | |
{ | |
"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('./convex.PNG', width=400)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# 4. 지도 학습(Supervised Learning)\n", | |
"- 결과 label이 이미 주어져있다.\n", | |
"- 두 타입\n", | |
" 1. 분류(Classification) with 이산값(discrete value)\n", | |
" 2. 회귀(Regression) with 연속값(continuous value)\n", | |
" \n", | |
"## 4.1 분류\n", | |
"- Class labels are discrete, unordered values.\n", | |
"- 두 타입\n", | |
" 1. Binary : 두 클래스로 분류하는 방법. label이 두개.\n", | |
" 2. Multi-class : 여러 클래스로 분류하는 방법. label이 여러개." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 12, | |
"metadata": { | |
"image/png": { | |
"width": 200 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('./classification.PNG', width=200)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 4.2 회귀\n", | |
"- 연속적인 값에 대한 예측\n", | |
"\n", | |
"\n", | |
"- 단순회귀 : 하나의 x와 하나의 y 사이의 관계를 분석\n", | |
"\n", | |
"\n", | |
"- 다중회귀 : 다수의 x와 하나의 y 사이의 관계를 분석" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 11, | |
"metadata": { | |
"image/png": { | |
"width": 200 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('./regression.PNG', width=200)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# 5. 강화 학습\n", | |
"\n", | |
"**Goal** : To develop a system that improves its performance based on **interaction**\n", | |
"\n", | |
"- Environment gives feedback, which is not correct, but a measure **how well the action was measured by a reward**\n", | |
"\n", | |
"\n", | |
"- Action에 따라서 Environment가 Agent에게 보상(reward)를 주거나 감점(feedback)을 줌으로써 강화시키는 학습이다. " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 17, | |
"metadata": { | |
"image/png": { | |
"width": 300 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('./rein.PNG', width=300)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
" " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# 6. 비지도 학습(Unsupervised Learning)\n", | |
"- Unlabeled Data\n", | |
"\n", | |
"\n", | |
"- 사전에 주어지는 label이나 reward 기능의 지원없이 의미있는 결과를 뽑아내는 학습을 말한다.\n", | |
"\n", | |
"## 6.1 클러스터링\n", | |
"- 사전 지식없이 정보 더미들을 조직화하여 의미있는 그룹들로 나눈다." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 13, | |
"metadata": { | |
"image/png": { | |
"width": 200 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('./cluster.PNG', width=200)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 6.2 차원 축소\n", | |
"- ML 알고리즘의 계산 능력과 저장 공간은 한정되어있다.\n", | |
"\n", | |
"\n", | |
"- 특성이 많아질수록 공간 소모가 심해진다. => *SVM : 특성을 무한으로 잡을 수 있다.\n", | |
"\n", | |
"\n", | |
"- 특성 처리는 원래 input의 대부분의 정보(input을 잘 나타내는)를 유지하면서 **데이터의 노이즈를 제거하거나, 낮은 차원으로 데이터를 압축시키는데 사용된다.** " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 16, | |
"metadata": { | |
"image/png": { | |
"width": 400 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('./dim_reduce.PNG', width=400)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
" " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# 7. 전처리(Preprocessing)\n", | |
"- 대부분의 머신러닝 알고리즘은 feature들이 **같은 스케일**을 가지는 것을 요구함.\n", | |
"\n", | |
"\n", | |
"- 몇 몇 feature들은 높게 상호연관 되어있고, 이것은 불필요한 중복 feature를 가지는 것과 같다. => **Dimensionality reduction**: 저차원으로 매핑시켜 feature를 압축시키는데 효율적이다.\n", | |
"\n", | |
"\n", | |
"- 데이터 셋을 train set과 test set으로 나눈다.\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# 8. No Free Launch Theorm\n", | |
"- 머신러닝 알고리즘은 **특정한 가정**이 요구되는, **특정한 task**에 잘 작동하도록 만들어진다. \n", | |
"\n", | |
"\n", | |
"- 모든 task에 다 잘 작동하는 머신러닝 알고리즘은 없다. \n", | |
"\n", | |
"\n", | |
"- task에 대해 어떤 가정도 하지 않는다면, 어떠한 분류 모델도 우위를 가질 수 없다.\n", | |
"\n", | |
"=> 즉, 여러번에 걸쳐 다양한 모델을 실험해보고, 자신이 원하는 결과에 제일 잘 맞는 모델을 찾아야한다." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"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": "3.7.4" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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