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:
--------------------------

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 ...

--------------------------

Credit:
🎹 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.

[andreabonvini]

Finally someone that actually derives the PCA without just reporting the algorithm, great work!

[linusisu]

Extraordinary Video! I will show this to my students in all my linear algebra classes. One very minor comment: it is worth mentioning that your data is centered before beginning your analysis. That is, each column vector has it mean subtracted. That is why, C (as you defined), is a covariance matrix.

[cken]

A well-designed animation surpasses thousand words!

[timng]

PCA is like 'magic', never really understood it but it is so useful! thanks for the great video.

[ahmedwesam]

I have been searching for hours for the derivation of the PCA and all i got was the algorithm process only till i stumbled into this video! thank you so much!

[kalathiyasmitmukeshbhai]

i am very thankful that i found your video.
i was learning PCA but wasn't able to imagine in the 3d space but you explained it really well.
kudos to you mate.

[findclue]

This video is very good! I like how you labeled the first component as "power". I think it is important to clarify that PCA loses the distinction of original features unless you keep all the principal components, and this new labeling explains this very well.

[rezahomam]

That is an absolute masterpiece. Thank you for your plain, visualizing video.

[samiswilf]

Best video on PCA I've seen out the hundreds

[吳冠賢-tv]

such a clearly explanation for PCA! Giving the example really helps a lot to understand the meaning and how to use it.

[anjishnu]

Really well explained and amazing visualizations! Thanks.

[StevenFrancis]

just wanted to thank you brother for this hard work! best explanations! saving me in grad school right now!

[TAHIRKHAN-beqf]

Amazing Bachir Khadir ! Visually you explained in much lesser time. keep developing Visual world. waiting to see you

[GeorgeZoto]

Awesome visual and intuitive way to explain PCA, loved the graphics too :)

[dragnar]

Wow, simplified the entire concept of PCA. And also I love the example u gave. Thnx for the vid 💛🧡

[jayantnema]

dude! what an amazing channel! Super underrated man

[santali-trrj]

U are great sir .I messed up with finding what is PCA .All ppl 's explaining way is complicated .urs way can help ppl understand python PCA.Thanks .

[alexfoo_dw]

Beautiful and well explained :) Hello from Singapore!

I'm wondering: what animation software do you use to produce this?

[laurielgm]

Awesome!!! Thank you so much! It's so fun to watch and so well explained!

[gjhj]

Super informative and so eloquently explained! Thankyou so much!