Singular Value Decomposition (SVD): Mathematical Overview

Рет қаралды 380,081

4 жыл бұрын

This video presents a mathematical overview of the singular value decomposition (SVD).
These lectures follow Chapter 1 from: "Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brunton and Kutz
Amazon: www.amazon.com/Data-Driven-Sc...
Book Website: databookuw.com
Book PDF: databookuw.com/databook.pdf
Brunton Website: eigensteve.com
This video was produced at the University of Washington

Пікірлер: 290

@dragosmanailoiu9544 4 жыл бұрын

Why are comments disabled on other videos?! We all want to say thank you to this dude

@m.harrisonbaker462 4 жыл бұрын

this man is such a great teacher

@romanemul1 3 жыл бұрын

a legend

@craigcollings5568 3 жыл бұрын

You are so right. He skips straight through things but he brings you along. I have met some good teachers but SB is incredible!

@johnwt7333 3 жыл бұрын

He also works as a teacher (the two things are not related, just saying he also works as a teacher).

@abeke5523 3 жыл бұрын

@@romanemul1 a god

@romanemul1 2 жыл бұрын

@@abeke5523 A myth

@issamassafi 3 жыл бұрын

I don't know how they do it, but Steve Brunton and 3Blue1Brown can explain stuff in a very impressive comprehensive way

@serkansenturk6945 Жыл бұрын

Steve Brunton is saving my masters as he saved my undergraduate. What a guy!

@ABC-hi3fy 3 жыл бұрын

Relating SVD to Fourier series is the most enlightening sentence I had ever heard. Thank you.

@PunmasterSTP Жыл бұрын

Yeah that blew my mind too!

@LucyHealthy97 2 жыл бұрын

I feel so lucky that I can see your videos and your channel, your lessons are amazing, it make me feel deep happy. I can feel that you would love to share your knowledge to everyone. Thank you so much Steve Brunton.

@jorisbergman9815 3 жыл бұрын

Great stuff! You explain the story the mathematics is trying to say in such a clear and understandable way!

@douglasespindola5185 2 жыл бұрын

The fact that I'm seeing this video 2 years after it was posted makes me feel that I'm about two years behind the best in what exists in machine learning and data science. =( Well, better late than never! Haha! Great class, Steve! You're an awesome teacher! Greetings from Brazil!

@polares01 3 жыл бұрын

Dude you and some other KZfaq teachers have been make my life great and helping me love studying again, thank you truly

@ksitaraman 9 ай бұрын

Outstanding and brilliant with the intuition. A great teacher, and the best set of videos, bar none, on the topic.

@lucyhaddant1303 3 жыл бұрын

A great lecturer. Some people are born teachers. A great lecturer and I am buying their book to show my appreciation and thanks to Mr Brunton - and his colleague. From downtown London, UK.

@nazniamul 3 жыл бұрын

This is the best video on SVD i have ever come across. Just wow.

@ShaunakDe 3 жыл бұрын

I think i have found a corner of youtube that brings me true joy. Thank you.

@icybrain8943 4 жыл бұрын

You’ve now become the only channel I’m subscribed to where I’ve also hit the bell - I really appreciate your approach

@Eigensteve 4 жыл бұрын

Awesome!

@yayunhuang1132 Жыл бұрын

This is the first time I learn about SVD and I can fully understand. Thank you!!!

@princeebenezeradjei3008 4 жыл бұрын

This guy is like the greatest teacher ever!!

@jdormaar Жыл бұрын

Amazing! Well explained! I've had to watch a few times tbh, because I kept getting distracted by how Impressively he writes backwards. He doesn't even get distracted by the effort!! Just keeps on talking, teaching, and drawing while writing tidy, informative, concise notes... backwards! Amazing!! Thank you!!

@davipenha6340 4 жыл бұрын

i am doing an elective about this and you are practically saving my life

@kjaanishji2595 2 жыл бұрын

This is the best explanation I have seen so far! Great explanation!!

@waddahramzialhajar1471 Жыл бұрын

Every time I see a tutorial video for professors in the US universities I envy their students, they don't have to learn eveything twice, once from the classroom from a bad teacher then again on KZfaq from amazing teachers like Steve or others

@robensonlarokulu4963 9 ай бұрын

Not all US universities are like that. These are the guys at top schools who really mastered their subject's state-of-the-art. At ordinary state universities, students can not even get a proper education in basic subjects, and professors are too busy, depressed, and pressured with research to be able to have any sanity to teach properly.

@saltrocklamp199 9 ай бұрын

@@robensonlarokulu4963even at great schools, not all professors are equally good at teaching.

@mustafizurrahman5699 2 ай бұрын

I cannot thank you more for the splendid elucidation of SVD

@srikanthsridharan6062 3 жыл бұрын

Mr. Brunton certainly understands how to take the students along in the lecture and not leave them at sea. Also, I believe the video is a mirror reflection of Mr Brunton actions which would produce the same effects.

@gonzalocordova5934 3 жыл бұрын

Incredible production! Congrats from Spain!

@GiuseppeRomagnuolo 2 жыл бұрын

I haven't finished the video but it is so great to have a preamble explaining what is what, especially something very simple but sometimes ambiguous like what is the direction of the matrix vectors! It might seem obvious to some but in my experience this is often confusing, I tend to make an assumption but often halfway through I have to backtrace the whole calculation trying to evaluate the alternative interpretation.

@dragoncurveenthusiast 3 жыл бұрын

I've used PCA, but have never heard of SVD. After this video I can see how they are related and wonder how I never heard of it. Looking forward to the rest of the series! Thank you so much, you are great at explaining!

@MrHaggyy Жыл бұрын

Same for me, it`s like your told to use some math(PCA) but they left out the foundation(SVD). The lectures and the book together are really really good and that you get the material for free is awesome.

@RajeshSharma-bd5zo 3 жыл бұрын

Awsome explanation, before coming to this channel watched other videos and got a bit confused but here the concept is explained so smoothly. Thanks!!

@ryanciminski4695 Жыл бұрын

You obviously can see this through your viewership, but holy smokes you have an amazing delivery style. Thank you

@ZhengQu Жыл бұрын

I cannot thank you enough for the awesome explanation! Thank you!

@shawheennaderi8970 4 жыл бұрын

Keep up the great work! Excellent channel!

@fabriciot4166 10 ай бұрын

Thank you so much. Simple, clear and with examples, it's nice 👌

@meghaldarji598 2 жыл бұрын

Amazing content, amazing explanation, amazing videography. Thank you so much for your work. I am truly grateful and I wish I could be your student in my lifetime. I watched one video and immediately knew that I have to hit the subscribe button. Thank you once again

@GeorgeRon 2 жыл бұрын

You're a star , Mr Brunton. Thanks !

@prelude2752 Жыл бұрын

Thank you for all the awesome lectures.We wish you all the best..

@rizwanmuhammad6468 3 жыл бұрын

Oh my God. What a teacher. Thank you sir. I needed to learn this mid career and you are God send...

@saurabhdamle4176 3 жыл бұрын

OMG this is exactly what I was looking for! And you have explained it in the clearest way possible. Thank you! Instantly subscribed.

@CmanComedy 3 жыл бұрын

Great video, love the different real world examples

@atalwar00 3 жыл бұрын

Thank god you made this video, sir. Awesome!

@hermanusscholtz 2 ай бұрын

@steve Brunton! Amazingly explained !! Ite super clear now in my head

@MehdiMirzapour 2 жыл бұрын

Amazing teacher! Great work!

@hugotalibart146 3 жыл бұрын

This is so useful and clearly explained. Thank you

@Sam-gq1bw 2 жыл бұрын

You are a legend, Steve

@RajKumar-ob8wk 11 ай бұрын

Thank you very much for explaining these in very simple words

@mohammadgharachorloo4486 4 жыл бұрын

Brilliant approach. So intuitive.

@mohamed-mkh15 Жыл бұрын

You are amazing. Thank you .. The explanation was really clear and your way of teaching is great.

@adityaroshan1688 8 ай бұрын

Such smooth and intuitive understanding saving me from perplexity of the topics. Thanks Sir!! May God bless you! Love from students from Bharat!

@ONoesBird Жыл бұрын

Thank you so much Steve Brunton

@leiyplane2011 3 жыл бұрын

Brillant explanation! Thank you!

@RohitVishwakarma-bt3cx 2 жыл бұрын

Such an amazing explanation. Thank you so much.

@brynjarsigursson4300 9 ай бұрын

What a fantastic teacher!

@xiaoyu5181 4 жыл бұрын

Thanks for your great video! I will read your book as well.

@wiseguym Жыл бұрын

A good KZfaq rule of thumb is to never read the comments. An caveat to that rule is if the poster is a skilled educator. Thank you so much for your wonderful video!

@Mabrur100 3 жыл бұрын

Great explanation! Thank you so much.

@TheSuperFlyo Жыл бұрын

Incredible videos, thanks so much!

@nicholasjaramillo9561 6 ай бұрын

This guy is awesome. This is the Full SVD not the reduced SVD FYI

@adrianl6811 9 ай бұрын

This man is the Guru of so many topics. His explanation is so good even I can understand the material.

@Eigensteve 9 ай бұрын

Thanks!

@gabriellafreitas9142 4 жыл бұрын

you helped me a lot, thank you. 🇧🇷❤

@abhishek_sengupta 3 жыл бұрын

Very nicely explained!! Thanks!

@K-Viz Жыл бұрын

Wow I can clearly visualise it in my head how the multidimensional data is stacked and matched across time.

@parisbeauty5750 4 жыл бұрын

you explain very well. thank you man

@mybean1096 4 жыл бұрын

Awesome!! I'm not really good at it but learning it or listening enhances and adds to others skills that are relevant to this almost... if that makes scense...

@user-wc7em8kf9d 3 жыл бұрын

WOOOOWW ! Amazing teacher! Thanks Professor, I'll get the book.

@marcavila3938 3 жыл бұрын

Fantastic video, really well explained

@carlanneves 3 жыл бұрын

What a great teacher, thank you!!! 🇧🇷❤

@JoaoVitorBRgomes 3 жыл бұрын

verdade

@vladimirfokow6420 Жыл бұрын

Amazing stuff!👍

@YASHSHARMA-bf2mm Жыл бұрын

Thank you so much for this gem

@RS-el7iu 4 жыл бұрын

great explanation... should be distributed to all universities worldwide including to my own professors at my uni :)

@M3gal0maniac 3 жыл бұрын

Thank you! Really clear explanations!

@Eigensteve 3 жыл бұрын

Glad it was helpful!

@michaelpadilla141 Жыл бұрын

This is how you teach. Thank you.

@chiragagrawal7104 3 жыл бұрын

Thanks a lot teacher, I didn't knew SVD is so simple to understand..

@unre4listic_targets 3 жыл бұрын

Probably the best explanation I've seen. At least I understood it))

@Eggleweb97 2 жыл бұрын

That's a great lecture on svd.Hope for getting more initiative videos

@ramisketcher2069 4 жыл бұрын

Welcome back ♡

@zack_120 23 күн бұрын

RtoL writing behind a glass is revolutionizing online teaching, the 1st of which seems to be that on Nancy's channel on calculus. Super cerebrum-cerebellum-hand axis👍

@EGlobalKnowledge 2 жыл бұрын

Thank you professor for the wonderful lecture

@inspiredbynature8970 Жыл бұрын

sir you are the best,too good explanation and material

@flarros 3 жыл бұрын

You are amazing! Thank you so much!

@AdarshPathak 3 жыл бұрын

The professor has so patiently explained every individual part of the whole equation with so much of attention and beauty, he literally made me "feel" the entire concept! Sir, kindly teach others on how to teach as well. We need a lot more people like you in this world.

@shubhamnayak5398 4 жыл бұрын

wow. when you strated describing the meaning of U sigma and V, I could see how it was of similar concept of that of fourier series and transform

@technosapien330 9 ай бұрын

In my first semester of graduate school for ML, was starting to think this wasnt for me based on how lost I have been on this topic. You saved me from imposter syndrome, thank you

@Eigensteve 9 ай бұрын

Happy to help and thanks for watching!

@abhishekchoudhury3328 2 ай бұрын

teaching at its best !

@AakarshNair 2 жыл бұрын

This is pure genius.

@Hatice-in8gp 3 жыл бұрын

It was a great explanation, Thank you Sir.

@mlkrei2010 3 жыл бұрын

amazing series! New subscriber here! Love the aesthetics and how clearly you explain everything.

@Eigensteve 3 жыл бұрын

Awesome, thank you!

@prakhars962 3 жыл бұрын

you made it so easy to understand.

@Eigensteve 3 жыл бұрын

Thanks!

@stekim 3 жыл бұрын

blew my mind with the explanation of each of the three elements. thanks!

@Eigensteve 3 жыл бұрын

Awesome, great to hear!

@FlareGunDebate 4 жыл бұрын

This is a great video!

@Eigensteve 4 жыл бұрын

Glad you enjoyed it

@hahaha-ug3wp 3 жыл бұрын

Amazing explanation！！！

@boomaletslearntogether 6 ай бұрын

Much respect from a mathematics teacher

@omniscienceisdead8837 2 жыл бұрын

Beautiful lecture

@bm-ub6zc 3 жыл бұрын

looking like a nerd, teaching like a BOSS. big like for that man

@ad2181 3 жыл бұрын

Outstanding!!!

@davidorr947 4 жыл бұрын

Well done!!!

@auk6938 Жыл бұрын

excellent lessons

@hyunwookjung9231 Жыл бұрын

Thank you so much!!!

@MrImcu 3 жыл бұрын

Steve thank you so much ❤️️❤️️❤️️

@Eigensteve 3 жыл бұрын

You are very welcome!

@m.ai.chi.22. 4 жыл бұрын

Please have a lecture on Wavelet decomposition you are the best. The time and effort you have put in is so clearly seen, please also have lecture on how to give good presentations like yours and how to prepare for it 🤓🤓