Principal Component Analysis (PCA)

[@rtgr2024]

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

[@joaquimfilho2227]

I agree!

[@Antonio-lt1sp]

I second this - great channel!

[@li-pingho1441]

agreeeeeeeeee

[@dwaynemcdowell2073]

Completely Agree!

[@mfatihaydogdu7]

+1

[@AdamTibi]

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

[@varsharathnam9844]

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.

[@zilezile4942]

@@rishabhkapoor3338 www.amazon.com/Data-Analysis-functional-principal-regression/dp/B088BM4FCB/ref=sr_1_6?dchild=1&keywords=nizar+soilihi&qid=1589823715&sr=8-6

[@1amitnagar]

Excellent video. Very intuitive. Thanks

[@satyamsubhash4569]

hi

[@manan4436]

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.

[@chanwoo1143]

lol this cracks me up

[@ArvindDevaraj1]

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

[@scikick]

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

[@Pidgey95]

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!

[@Justjemming]

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

[@alekseihaidukevich3697]

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

[@pramitthapa283]

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.

[@AndresGonzalez-hn6mz]

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.

[@diddivamshikrishna4602]

This is my first comment ever in youtube ,I was searching for PCA videos and was unable to figure out how exactly PCA works,but this video gave me complete clarity on the topic....Thanks Luis Serrano!!!

[@davibelo]

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

[@li-pingho1441]

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

[@SantosEnoque]

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

[@pauldmanuel]

This is one of the best tutorials which I have ever seen. Being a teacher, I appreciate the way how difficult concepts are explained in a simple way. It is must-to-read video for all students who want to understand PCA.

[@vivek2319]

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/

[@SerranoAcademy]

Thank you! I hope your interview went great!

[@ramielkady938]

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.

[@haoyiwang6869]

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

[@ashokmahato6870]

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

[@srishtikumar5544]

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!

[@suryag7408]

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

[@yashu25shetty]

Awesome explanation for PCA beats any in youtube tilll date

[@clementchidozie4009]

EXACTLY!!!!

[@Antonio-lt1sp]

Agree, even the one from 3Blue1Brown

[@natsunohuang5960]

Deepest gratitude from someone who’s just begun learning ML 5 years after this video was posted 😂 Thank you sir you are a lifesaver

[@andresrojas8486]

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!

[@andyn6053]

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

[@caronkanareck6250]

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

[@myquoraismine2953]

Luis, ONE OF THE BEST PCA EXPLAINED ON KZbin ARENA OF MACHINE LEARNING. I read many blogs, almost all the PCA tutorials on youtube but I was unclear about the PCA concept, was thinking what is this PCA.. but when I started viewing your PCA explanation , within 20 seconds PCA lighten up in my mind, which started from the taking picture example. The way you explained this confusing concept, It's totally insane, You are an exponentially amazing tutor. many thanks for sharing this stuff. you are simply amazing :) Thank you so much Luis.

[@footfalcon]

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.

[@SerranoAcademy]

footfalcon thank you for the kind message! (And sorry for the late reply). The new features are combinations of previous ones, but in general they may not mean much. However, since you know what combinations they are, you can look for example at the biggest coefficients in the linear combination, and see if you find trends. For example, if the top feature has big coefficients for several features that are size related (in a house) and small coefficients for other features that are not related to size, you can associate that feature with size in general. But it’s more of an observation than a mathematical way to do it.

[@Ghost-ip3bx]

My goodness, the video was like a movie. All things in correct order to understand PCA. So well explained. Thank you so much, keep up the great work!

[@clementchidozie4009]

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!

[@yalslaus]

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

[@patrikhora]

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

[@mosunchao]

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

[@RANJEETTHAKUR1983]

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?

[@ZeeshanAli-tv8gu]

f

[@teegnas]

Same here, really would love a video on this topic

[@spideronline4836]

up

[@macmac1283]

I second that

[@sandhyaranidash2429]

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.

[@anudeepk7390]

Thank you for taking time to explain small detail

[@omkarghadge8432]

This is without a doubt the best explanation on youtube.

[@sagnikrana7016]

I am not sure why this video is not appearing in top search results under 'PCA'. Best video. Period.

[@anonymouse221]

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!!

[@soffipiven8757]

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

[@NM-vw6xq]

By far the best basic explanation of PCA on the internet! Thank you so much, I did not think I could ever understand this without being an expert mathematician.

[@sidneyaburi]

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

[@_erika.be.bee_]

I've watched so many videos, read through so many websites, and asked so many questions to chatgpt about pca. I have to learn it as quick as possible for a research program. This is by far the best explanation I've seen!!

[@sangeetsagar2020]

This is so far the best video on PCA. The first 20 mins is like sharpening your axe and last 6 mins- cut the tree.

[@vikaskalla708]

Best explanation of PCA till now i saw many videos on pca i always look at time when they will finish because they are not clear but your video im not bother about time because it is simple n clear, i will watch all your videos.Thanks alot Luis

[@oluremiabayomi5924]

I am a teacher. And I tell you this. You are the best!!! The absolute best over all!

[@manojpaul4377]

have never seen a better explanation of pca than this

[@vimalshrivastava6586]

most simplified explanation of PCA👌👍

[@modishubham12]

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

[@akankshamaurya8419]

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

[@inbapandian8818]

Wow..One of the best explanation about PCA..The best part is that you explained clearly the purpose of PCA in simple way!!!Billion thanks.

[@Mo.Faried]

The best explanation for PCA. I can't remember concentrating that much for 26 minutes in any of youtube videos. ❤

[@javiercr7]

I needed to understand how pca is used to calculate the normals of a point cloud and by far this is the best explanation I've seen. Thank you!

[@laveenabachani]

Finally someone telling me why. why do we use eigenvectors of covariance matrix to calculate the Principle components. Thank you so much!

[@wahyuagungsugimartanto3340]

The covariance explanation just struck me unguarded, it blew my mind. Thank you

[@lakshminarayan1155]

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

[@tuhinsde]

You are a great teacher, teaching is an art and this guy is an artist. Million Thanks Sir.

[@tomorrowcut]

Probably the best explanation of PCA. Mean, variance, covariance, correlation such a smooth explanation, great.

[@mmacasual-]

Most underrated tutor !!! He just explained PCA like ABC.

[@5758ankit]

I haven't seen any better explanation for PCA. This was Brilliant. Hats off for such a clear explanation of complicated topic.

[@kanchanpoudel3133]

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

[@kpmaynard]

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!

[@coolcatool]

Thanks I Spent lakhs for an Analytics course and was still at loss for what is Eigen Value and Vectors. You made it so clear. Even instructors having Stats majors and years of teaching experience don't know their stuff or lack the discourse.

[@eyerahulk]

I was loitering here and there from one KZbin channel to another to get a better explanation of algorithms, and finally I landed up here...sir, your explanations are so easy to understand,thank you for your efforts ❤️

[@carlavirhuez4785]

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

[@malikadabare3719]

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

[@nishanpokhrel1043]

This is the way everything should be taught everywhere. mad respect.

[@TheGenerationGapPodcast]

I am NOT watching his video because I wanted to learn math or Machine learning. I am already pretty good at math and machine learning. I am watching these Luis Serrano videos to learn how to effectively teach this stuff to young people. Those who might think that they can't do machine learning or math. I sent his book to my son, a business/communication major in university, he is now studying machine learning with the help of Luis Serrano's machine learning book. Thanks

[@HitAndMissLab]

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

[@maheshpatidar5663]

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

[@ashrithchandramouli6735]

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!

[@priyangijain1356]

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!

[@sanjeevjangra84]

This was simply a great explanation of a complex topic. Thanks!

[@anchitagarwal8080]

One of the best explanations ever, PCA or no PCA!

[@stephenlashley6313]

All these KZbin videos are great. There is a 100% mapping between this and all the AI stuff with real brain observations and computational neuroscience. This author is brilliant!

[@mujibai]

Masha Allah, sir. What a presentation! I have not encountered someone who could explain this topic in such a way that even a novice like me can grasp it.

[@natbhaskar2831]

Fabuolous video and clear explanation. You made PCA simple and fun

[@castro_hassler]

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.

[@j9779398758]

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!

[@saurabhsinghai4809]

Wow...explained in such a simple way...I have watched so many videos to understand PCA but this finally cleared all my confusions.

[@giuliomattolin517]

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

[@shawazeahmer8103]

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

[@neelanjanmanna6292]

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

[@charlyn.1219]

Thank you very much! I hardly comment on KZbin but when you see real skills, you have to acknowledge. I have watched several other videos on PCA but didn't really get what was going on. This video is so simple and clear for anyone with elementary knowledge in geometry and statistics to understand. Thank you very much !

[@nivedangowda7928]

One of the cleanest and very simplest explanation of pca. Great job sir

[@haoteli2122]

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

[@ahuca117]

I finished watching this video at 3am, not because I have any deadlines to take care of, but simply because I wanted to gain deeper understanding on PCA out of my own desire. And your video was simply the best. No, really, the best. It has just the right amount of math, it builds up all the small steps, it capture the essence of all those small steps, etc. Just a perfect balance between theory and plain (English) language. Your explanations are fantastic and your tone is just so perfectly calm. Keep up the good work!

[@muhammadhamza4494]

You explain the concepts sooooo simply. Hats off! Funny how I saw this video and then took your course on Coursera and it led back to this video .

[@jamesdelaney9599]

The skeptic in me wants to say I understood most clearly from this lecture because I had a solid subconscious understanding from watching probably a hundred of these over the years The other part of me tells the skeptic to shut up and appreciate the magnificence of this presentation. This is a great example of data storytelling from my view.

[@myweg7806]

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

[@Blackpoison1337]

I am in the process of studying for my machine learning exam and had a hard time grasping this concept for some reason. Thank you so much for making such a clear and easy to follow explanation.

[@jeanpierremattei4073]

the best explanation I've ever come across, either in statistics books or on the Internet. You have extraordinary didactic skills. Thank you very much.

[@alis5893]

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

[@puiyincheung2476]

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!

[@keshavkumar7769]

FEELING SATISFIED TEACHERS LIKE YOU CAN TEACH ANYTHING TO ANYONE NO MATTER FROM WHICH BACKGROUD YOU ARE.

[@tanim980]

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

[@SRAVANAM_KEERTHANAM_SMARANAM]

Sir, Kindly make a separate video on eigen values and eigen vectors with what ever you have shown in this video. I have searched many a times about what it means. i could not understand it thoroughly until i saw this video. That video would help many people.Appreaciate your great work and understanding in the subject,the presentation and ability to communicate it thoroughly.

[@PeymanSayyadi]

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

[@Drichou_]

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