PCA : an intuitive mathematical explanation
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Summary PCA
I made a document which aims to give an intuitive mathematical explanation of PCA (Principal Component Analysis).
An French version is also available.
Interesting ressources on PCA
Online discussions
- A very interesting discussion on PCA. The ‘top’ answer introduces the concept by giving an example of characteristics of wine bottles.
- A discussion about the link between SVD and PCA, clearly explained.
Academic notes
- Well-explained lectures by Ryan Tibshirani : part I, part II and part III. The entire course on Data Mining can be found here.
- Lecture notes of the chapter 9 PCA of the course Statistics for applications delivered by MIT. They are clear, simple and go straight to the point.
Videos
- A video on Youtube by StatQuest.
Blog post (for concrete examples)
- A post on PCA for Data Science by Tomas Aluja-Banetn, Alain Morineau and Gaston Sanchez.