I haven't seen any clearer explanation of PCA on the internet than this one. Many thanks!

Judging by how much you simplified the lesson without sacrificing the actual concept, I trust you have spent good time preparing for your lesson and animation. Thank you very much

I haven't seen a better explanation for PCA. Love it! And I always had trouble to conceptually understand covariance. I knew it was related to direction but always found it difficult to conceptualize. Thank you for your explanation.

we may be aware of terms like mean, variance, covariance, linear-transforms, eigenvectors and eigenvalues, PCA. This video puts together all the relationships in an amazing way

I have confusion even after watching videos of 2+ hours... 26 minutes solved all doubts. I like the way how you put all the concepts together. Thanks.

You are the tutor we all need but don't deserve.

This is how you teach!! I wish my professors from university could do even 1% of this... I am paying thousands of dollars for something I get for free on youtube!! Very good job!!

I would literally clap for you if you gave this lecture in person. Thanks for this man. Keep doing what u do

This was AMAZING!!! You reconciled so many disparate concepts I had learned in college...I understand how it fits together now. Very down-to-earth explanation, and amazing animations!

This is the best PCA video ever seen, it's quite easy to follow and understand deeply.Thanks!

This is without a doubt the best explanation on youtube.

I am yet to see a clearer explanation of PCA in my life! Thank you so much!

That arguably might be the best tutorial I've ever watched on KZfaq. Thanks.

Great explanation Luis! It took me a whole class and a conversation after with an instructor to get PCA, and still your video cleared up so much uncertainty/misconceptions I had on the subject.

This is the best PCA explanation. If only I had this explanation 11 years ago...

have never seen a better explanation of pca than this

far better PCA explanation on youtube, I saw a lot of videos, but only learned with this one.

wow! this was VERY worthwhile. thank you! so many lights switched on

PCA, that I couldn’t really understand in five years (although I have been using in analysis without being clear), I am now crystal clear. There are so many articles and videos. Those are like a parroting. This lesson is the best.

i search all the pca tutorial on youtube, and this is the best one.

well thats the best explanation i have ever seen, great job sir, thank you so much !

I am impresed with the level of information you were able to put together in a 20 minutes video. I mean you summarized a whole semester in such a way that a beginner could follow. Thats amazing

One of the most lucid presentations on PCA I've ever seen. Nice work!

Well Luis, that's the best and most intuitive PCA tutorial I've seen so far. Bravo!

This is the clearest explanation of PCA I've ever seen. As a wannabe analytical chemist, this is pure gold because it gives you hints about the true meaning of PCA without excessively digging into statistics and pure mathematics which just blows your mind. Congrats for the amazing explanation and the effort to make this video!

Thank you for taking time to explain small detail

By far the best conceptual and visual explanation online. Great work. Thanks!

I watched many videos on PCA over the last year and by far this is the best. Thank you.

Awesome explanation for PCA beats any in youtube tilll date

Most comprehensive explanation, thank you so much. Tomorrow, I have interview for big tech company and now after watching whole video, I feel confident to answer questions on PCA. \m/

One of best explanation after going through lot of PCA videos. Now it will make sense to drill down further. Thanks!

Best ever explanation on PCA. You put so much effort into this. Thanks!!

HIT THE LIKE BUTTON IF YOU LOVE THIS VIDEO!!! You did it! You nailed it!! You killed it!!! Just when I was about to give up on this topic after watching a series on PCA, I ran into yours and BOOM!!! IT WAS THE BEST THING I DID!!!! I am going to watch it again because you gave me an ideal explanation of the topic. You started off with related background knowledge necessary for perfect understanding. THANKS A LOT!

This excellent, Luis. My only thought to improve the video would be to pull the thread through using your original example of housing data. Good job, and thank you!

Awesome Luis! very informative graphics to understand the complex concepts. Great Job :)

Only explanation which has core PCA explained in a very simple yet effective and useful manner. His teaching skills are exemplary.

Recognizing your name from your Udacity lectures, I was thrilled to have stumbled upon your youtube channel today - really gentle, concise, intuitive explanation of a complex topic. Nice shout out to 3blue1brown - watching this reminded me of his videos and style (though his visualizations are insane :] ). One question: from the end of your video, it seems to me that eigenvalues can be thought of as measures of feature importance, but in your housing example, multiple similar features (size, #rooms, etc) become a new single representative feature. How do we know what the features are that we are left with after PCA in much higher dimensional examples? Say we reduce a 100 dimensional data set to 10 dimensions, how do we know what those 10 dimensions represent? Thanks again - looking forward to diving into your channel.

This is great tutorial. Can you make a similar video about - Markov Chain Monte Carlo, since its too complicated to understand why are we doing what we do?

One of the best descriptions of PCA I've seen. Bravo!

Best explanation available on KZfaq for PCA!! Amazing work Luis :)

Thank you! This is the most comprehensible and complete video about PCA I've found!

Thank you for making this video!! PCA and linear algebra have never been so easy and understandable to beginners, but you’ve made things clear and logical!

You're a hero! Great explanation! Probably the best video kn PCA on KZfaq.

Luis, I have seen so many videos for PCA but this one is the best that I came across. Really appreciate your work and thank you for making the video. It's really awesome.

There are so many videos on the internet but none explained to this detailed and fundamental level as you did! Thank you sir!

This is by far the best PCA video i have come across. Thank You!!

Quite literally the best video on PCA. You explained everything without skipping the math and the basics, amazing!

Thank you so much for this amazing explanation Luis!! This is the best and most intuitive explanation of PCA I've found on the internet! I was literally struggling to understand this concept for weeks! :')

Best PCA explanation I have ever seen. Thank you so much Luis.

This was by far the best explanation that I found on youtube. Keep up the good work man

Never have I understood PCA in such a simplified and intuitive way. You're a magician! ❤️

This explantation is better than my one year course , thanks a lot

Well done, Luis. The recap at the end brought it all together. Thank you for posting.

Luis, thank you so much for sharing your knowledge. I've seen countless videos on data science and this PCA explanation is one of (if not the) best ones out there! This is the first of your videos that I've seen, but I'm excited to find others now. Again, thank you!

Dear Sir, you are the best at explaining PCA!. I thank you very much.

I appreciate the way you decompose hard topics in a way easy to understand, but PLEASE, more videos with math and intuition like this one, thank you very much again, Sr.

By far the very best PCA explanation! Very clear and understandable for everyone!

I spent so many hours looking at other videos and content online and could not make sense of it. This video really helped me a lot. Especially in understanding the role of eigenvectors and eigenvalues. Thank you so much!

Thank you!! Out of all the videos I watched on KZfaq this one helped me understand the most about what PCA is, how it works, and when to use it.

Great explanation, focussing only on the necessary things and giving hints to look further if necessary. Thank you for your efforts!

The best explanation of PCA on KZfaq!! Thank you very much!

This is the best explanation of PCA in the whole KZfaq!Thanks so much!!

Just amazing. I have an exam and I have gone through so much material already but nothing could have summed PCA better than you did. Thank you!

Now, I can keep the PCA idea in my head without forgetting it. Thanks, the best PCA tutorial on YT, excellent.

This has to be the best, yet so simple to understand explanation of PCA I have ever come across!

One of the best explanation to PCA on youtube , amazing video

This video is amazing! Many students in college are taught how to compute the eigenvector and eigenvalue but the college seldom explained its geometrical meaning, but you did this which helped me a lot! Thank you!

You are a gifted lecturer. You know how to motivate the theory and provide that understanding of WHY we're taking all the computational steps. That is rare!

One of the best explanation I have ever come across. Thank you very much

I cannot state how intuitive this video is! Even a layman can now understand this! Loved it, subscribed and looking for more!!

This was fantastic. You made the concept so intuitive and easy to understand. Thank you.

Great explanation! It's always easy to find these things with complicated math but then you lose the idea, your video was easy to follow and I felt like I actually understood these concepts :D Thank you!

This is the best explanation of PCA, individual components broken down, emphasis on visualization instead of just the method and then all the components put together for the big picture. I cant thank you enough for the fantastic teaching style that clicks with me.

Very well done! I have seen many of these type of tutorial, but this one beats the rest. I am glad you did put some math into it, which give a better understanding of why things work as they do. Bravo!

By far the best video on PCA. Explanation was top notch! Thank You!

All of Luis' videos are spectacularly understandably and convey so much useful information!

This is the best explanation for PCA. I have tried with so many videos, but this saves me. Thank you

This is the best video on PCA I have come across. Its so well explained

You have a very intuitive way of teaching things that's hard to infer when reading or watching lectures from other teachers.

The most informative but graspable explanation of PCA I have encountered online ever. Thanks so much!

Out of the world explanation for PCA. Never seen so simple and easy elaboration of this concept. Tons of thanks.

the best PCA video on the internet. i always struggled with eigen value and eigen vectors thanks man

This is the best of all lectures about PCA! Thanks a lot.

bro, the clearest explanation i 've seen so far. good work. thank you so much :)

The best PCA tutorial I have seen anywhere on youtube. Thanks.

Just discovered it. Phenomenally perfect balance between intuition and quantitative explanation.

I have had struggled visualizing co-variance and PCA, you have done it so marvelously, literally out of words for the gratitude after seeing this video, now I have understood PCA by heart. Kudos!

Amazing. Perhaps the best PCA explanation video in the internet.

The best and neatest explanation of PCA.. bravo, and you’ve earned a lifelong fan and follower!!

I have spent 3 days chasing eigenvectors and eigenvalues, and then I found you video. It puts it all together very nice, and mentally delivers it with ease - like a boss. I was very close to spending two weeks on Khan academy to understand what you delivered in 26 minutes. Thank you so much.

Best video i have even seen about PCA. Thank you so much sir.

God bless your soul, sir! This filled in the gaps for so many topics that were just brushed over at school. Really helpful and very much appreciate the time and energy you put into creating this video :) I am sure you have just saved and helped hundreds of lost students with your video/s

This is the most clear video that I have watched. Many thanks!!

Fantastic, absolutely the best simple, straight to the point presentation of the PCA . Thank you

This is one the simplest and most precise explanation of PCA. Thanks !!

by far the best video on PCA out there! Thanks a lot!

I went over at-least 30+ videos + materials , articles from 2 weeks , At last you made it so clear . You are wonderful teacher 🙏

oh my god! this is unbelievable stuff. I wasted around a day on many lectures and books still can't able to grasp a shit about PCA. but this man explains it in such a beautiful way. You're a legend sir

Thanks! Very good explanation of how projections, eigenvectors and eigenvalues all come together in PCA analysis!

The best PCA explanation in KZfaq! felicidades Luis!