Principal Component Analysis (PCA)

This video is gentle and motivated introduction to Principal Component Analysis (PCA). We use PCA to analyze the 2021 World Happiness Report published 2021 and discover what makes countries truly happy. :)


References:
- Scikit-Learn User Guide : https://scikit-learn.org/stable/modul...
- A Tutorial on Principal Component Analysis: https://arxiv.org/abs/1404.1100
- Andrew Ng Stanford Course:    • Lecture 14 | Machine Learning (Stanford)  
- Kaggle dataset: https://www.kaggle.com/ajaypalsinghlo...
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Timestamps:
0:00 Intro
1:37 Projecting a point on a line
2:00 Optimization
3:27 First component
4:19 Second component
5:20 More generally ...

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Credit:
🐍 Manim and Python : https://github.com/3b1b/manim
🐵 Blender3D: https://www.blender.org/
🗒️ Emacs: https://www.gnu.org/software/emacs/
🎹 Intro Music: Waltz of the Flowers - Tchaikovsky
🎹 Outro Music: Like That - Anno Domini Beats

This video would not have been possible without the help of Gökçe Dayanıklı.