{
"cells": [
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "8GTL9Gqaxlg4"
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"source": [
"# Principal Component Analysis (PCA)\n",
"\n",
"\n",
"\n",
"[Slides: Principal Component Analysis (PCA)](https://github.com/ichatnun/brainCodeCamp2023_lectures/blob/main/DimensionalityReduction/dim_reduction_part2_pca.pdf)\n",
"\n",
"
\n",
"\n",
"ใน tutorial นี้เรามาทดลองใช้เทคนิค principal component analysis (PCA) ในการลดจำนวนมิติของข้อมูลกัน\n",
"\n",
"เราจะเริ่มจากการนำเอาข้อมูลจากตัวอย่างสุดท้ายใน tutorial ที่แล้วมาดู ซึ่งแต่ละจุดข้อมูล $(x,y)$ เป็นข้อมูลใน space ที่มี 2 มิติ (ค่า $x$ เป็นมิติแรก และค่า $y$ เป็นมิติที่สอง) และในชุดข้อมูลนี้มีจุดอยู่ 2 ประเภท (2 classes)\n",
"\n",
"\n",
"* class 1: $y = x$ โดยที่ $ -4 ≤ x < 0 $\n",
"* class 2: $y = x$ โดยที่ $ 0 < x ≤ 4 $\n",
"\n",
"ตอนนั้นเราใช้การหมุนจุดข้อมูลตามเข็มนาฬิกาไป $45$ องศา แต่ใน tutorial นี้ นี้เราจะมองอีกมุม กล่าวคือ เราจะไม่หมุนจุดข้อมูล แต่เราจะหมุนแกนทั้งหมดใน space (แกน $x$ และ แกน $y$) ไป $45$ องศาแบบทวนเข็มนาฬิกาแทน"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"id": "GQZLjejKQvxQ"
},
"outputs": [],
"source": [
"import numpy as np\n",
"from sklearn.decomposition import PCA\n",
"from numpy.random import multivariate_normal\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import colors\n",
"\n",
"import ipywidgets as widgets # ใช้สำหรับการทำ interactive display\n",
"\n",
"np.random.seed(42) # ตั้งค่า random seed เอาไว้ เพื่อให้การรันโค้ดนี้ได้ผลเหมือนเดิม"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 564
},
"id": "aJsUTKs38pjz",
"outputId": "3c901475-af36-4f68-d4cc-ba7433264ee1"
},
"outputs": [
{
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",
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