Singular Value Decomposition (the SVD)
ฝัง
- เผยแพร่เมื่อ 5 พ.ค. 2016
- MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: ocw.mit.edu/RES-18-009F15
Instructor: Gilbert Strang
The SVD factors each matrix into an orthogonal matrix times a diagonal matrix (the singular value) times another orthogonal matrix: rotation times stretch times rotation.
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
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I can’t express how amazing this video is. I have taught from a number of textbooks in different undergrad linear algebra classes, and I’ve never in my life seen an explanation of SVD as good as this one.
its shit
With all due respect, on which basis people did thumbs down this outstanding piece of algebra. If I had Profs. like Sir Gibert Strang at my early university years, I would've reached far beyond my own expectations. Your teaching is outstandingly straightforward Sir.
Agree... I can't imagine anyone can explain better
I think they haven't seen 18.06, the best course on linear algebra! They need to see lecture 25, 28 and 29. Before this one.
I could imagine mathematics students to be dissatisfied by the lack of rigour. Are we talking about the standard inner product w.r.t. “orthogonal”? Over what field is the matrix? Is it even a field? How about existence and uniqueness of SVD? Etc. As a video explaining the procedure it’s very fine, but as opposed to engineers, that’s not necessarily what mathematicians are looking for in a video on SVD
Perhaps because he buries the lede with the intention and applications towards the end, and the only "worked example" excludes all the procedure for actually computing the component matrices. Then the discussion of applications is, frankly, pretty disorganized. Gilbert Strang has written some good books in his day, and even has some good lecture videos on youtube, but this is not a great example of his teaching.
Shows no proof unfortuantely
No any other guys can teach algebra better than this Professor. He is the teacher's teacher, the best of the best. Respect!
I used to watch Prof. Strang's videos when I was a first year undergrad. Never thought I would revisit this during my master as I am learning about PCA... Time flies yet Prof. Strang is forever
Came here while learning about PCA as well!
PCA bross
3:35 "And what do I have? Well, I've got six matrices..." LOL
The best linear algebra by all standards. He makes it look so simple. This explanation of SVD and PCA blew my mind. I salute you prof.
I have been trying to understand PCA all semester. I didn't realise that I would finally 'get' it after watching this video on SVD. Thank you so much Dr Strang and MIT!
For everyone else reading this, having a good grasp of Linear Algebra is absolutely essential for understanding Machine Learning!
"how to I get hold of U?"- Gilbert Strang
Each time, when I have the question about algebra, I always come to look for the answer in these lessons of Prof Gilbert. Thank you, Prof Gilbert.
"eigenpeople...no, no, that's terrible"....lmaooo, too funny
"eigenperson would be better"
nice 1
unique people, makes sense!
there are the "eigenfaces" as well...
I’m with you
I have watched this several time over the course of the last year, and each time I have gained a deeper understanding. Thank you!
I learn really a lot from your open lecture, thank you very much!!! prof Strang.
Thank you so much Prof. Strang, and sincere gratitude towards MIT for an initiative like the OCW.
Blessed are those who have the motivation to develop their skills in their younger years, and make it to an institution like MIT... but yeah, with uploads like this... even people like me can continue to develop our knowledge and understanding.
I am so glad and grateful to have an opportunity like this!
I always enjoy watching Professor Strang’s lectures. I learnt a lot from them.
Best ever explanation I found on this topic. Now its going to clear. Thank you Prof.
great style of lecturing, always comes up discovering something. Thanks Prof. Gilbert Strang and MIT.
www.amazon.com/Data-Analysis-functional-principal-regression/dp/B088BM4FCB/ref=sr_1_5?dchild=1&keywords=NIZAR+Soilihi&qid=1589911627&sr=8-5
Gilbert is the best, I love him, wish I had a teacher like that
This is so elaborately explained, yet so easy to understand
This is what teaching should look like!
This lecture is an abosolute masterpiece. Thanks Prof. Strang.
In such a short video, finally know the relation between PCA and SVD.
I have great respect for this man, he's so devoted to his job.
Thank u for explaining us the application, It's a huge motivation for learning such stuff.
I wish I had a teacher like you prof Strang :)
Very very clear explanation. Thank you very much Professor Strang.
Thanks to Dr. Gilbert Strang!
My favorite professor! Can't thank him enough ! THANK YOU for your teaching :)
www.amazon.com/Data-Analysis-functional-principal-regression/dp/B088BM4FCB/ref=sr_1_5?dchild=1&keywords=NIZAR+Soilihi&qid=1589911627&sr=8-5
Gilbert Strang is a genius on making difficult linear algebra topics understandable. I really appreciate his great work on being a powerful teacher.
😊
eigen people (or person) is the one of the greatest examples by Proff. Gilbert Strang. This one statement cleared many questions about PCA. Can't thank him enough, great professor. Thank you
Gilbert Strang has aged like fine wine! We will have lost a real gem when he is gone. His teaching is amazing.
Hey! Don't kill him off yet! I need him!
I just can't wait to get to the age where people talking about say, "man, it's gonna suck when he dies."
I don't want him to die. The passion he has for teaching at that age is amazing.I have had profs in college who hated teaching basics and then I see this gentleman put so much effort in teaching same.Great man!
Professor Arthur Mattuck, one of early pop stars of DE, passed away last year at age 91. Professor Herbert Gross, kindof the earliest calculus star, also passed away a few years ago. Pray that Professor Strang will live a long long long life.
Prof. Strang is absolutely the BEST!
I enjoy your lectures. Thanks respected Professor Dr. Gilbert Strang.
I could find art of teaching in this video...
Thank you greatly....
Hats off to you Sir. We are blessed to have people like you
When I was in Scandinavia, studying computer science, our textbook was by this same guru, Gilbert Strang. That book was pretty compact and perfect.
Only 14 mins, solve all my problems!!! Thanks!
thank you for showing that SVD is actually getting the different layers of the matrix out .. from the most important to the least important..
just amazing professor and method of teaching, thank you a lot!
Awesome Lecture, the way he makes it so easy to digest, well detailed, thanks :)
This is the best SVD video on youtube
Thanks Professor Gilbert and also Internet.
I really like his algebra book!
One of the best introductory books on linear algebra, for sure
Finally some good content, I hate when a video is more than 30 minutes and full of garbage . But this video is gold
Great lecture, Thank you, professor Strang.
great video, clear illustration and explanation
めちゃくちゃ分かりやすかった！！
All of my life I looked for the singular vector corresponding to the smallest singular value to solve linear systems. And now I learn that the biggest value is the most important one.
When I learnt linear algebra in college, I couldn't understand why I need to learn it besides it was required. Profs Gibert Strange made it more meaningful and helped me understand its application in practice. All the pieces I learnt are now connected.
www.amazon.com/Data-Analysis-functional-principal-regression/dp/B088BM4FCB/ref=sr_1_5?dchild=1&keywords=NIZAR+Soilihi&qid=1589911627&sr=8-5
Thank you for teaching me the Linear Algebra I had to drop when I got mononucleosis. Now to pick up the Second Semester ....
Dude dropping some sick knowledge bombs, blowing my mind.
Great Great Master. Whenever I get stuck in math, I would come here, I would find him and That's fine!
Quality professor and lecture, this made SVD click for me
No words! just thank you prof.
prime teacher, share knowledge to the world
Best ever.. Superb Sir.. Thank you so much
super course. We have his books in our university. Clear and simple.
you are loved
You are a great professor. Thank you very much
Amazing! Thanks for such a nice explanation
This is awesome! Thank you so much Professor
Sir Gilbert Strang has this ability to convert boring theorems into lectures which are as interesting as movies...
Thanks Mr Gilbert, you Rock!,
Great lecture! Thank you so much.
I am really learning linear algebra from one of the finest professor on earth.
Thank you so much for this incredible explanation! It added so much value to my day :)
😊
You are the God of linear algebra
Thanks, Professor, this lecture is nice.
This prof is just amazing. In our college, only the formula and a large sequence of steps were mentioned to find SVD. I had a hard time comprehending it. This legend just mad eme understand SVD in just 2 equations with full concept. I wish I was born next to MIT. Thanku prof for enlightening me. And Thanku MIT OCW for making these vdos available
You are the best professor ever ..
The number of time Prof. Strang saved me
best video by the man who invented linear algebra, very cool
I studied all this in small pieces, matrix in class 9th, Singular Matrix Decomposition in M.Tech. and Principle Component Analysis during my research in Speech Recognition using ANN. This video shows correlation in an exemplary manner. Best part is ...it sounds so simple and obvious. That's the trait of a teacher par excellence.
Is research in AI ML valued in industry in India? I'm a final year engineering student wondering whether to focus a lot on research.
Sir I take a bow... Until now I didn't really understand SVD
Wonderfully explained
Thank God for Gilbert Strang
Interesting examples with applied statistics.Thanks Sir.
Thanks a lot Prof Strang!
Salute to Great Sir Gilbert Strang
thanks for this lecture
The ultimate guru of Linear Algebra...
I have always liked his explanations but I just learnt his name today from the comments. It was familiar name. And when I sat down with my Linear Algebra book I saw it. Wow... He is a legend huh...
Thank you Sir. Best Regards
Good explanations
Thanks, Sir. God Bless You Sir. You are exceptionally amazing.
Thanks a ton, Professor. ❤️
Mathematician is so cool.look at this guy, he almost know everything from finance to life science!
Great lesson!
Thank you!!! This is very helpful
You nailed SVD
I understand now it more clearly
amazing ; thank you prof
Thank you sooo much ,Sir.
Thank you for this video !
Loved it. I doubt they lecture so simple and clear in real courses though. I doubt they add quite a bit more depth-and board space!
Love You Sir.
Great video!
The vector U at 8.56 is incorrect. The one he wrote on the board is uT (2,1,-1,2). It should have been just U (2,-1,1,2). You can try multiplying all pieces on the right side, and it is not equal to the left side.
You are right, the multiplication of the right part is [[ 2. 2.],[-1. -1.]], different from the original A
The first in the world to actually explain very well wtf is this SVD
clear explanation!!
I thought the SVD was a sniper rifle.
www.amazon.com/Data-Analysis-functional-principal-regression/dp/B088BM4FCB/ref=sr_1_5?dchild=1&keywords=NIZAR+Soilihi&qid=1589911627&sr=8-5
it kinda is: PCA
I thought it was marihuana
That's SVG brudda
it is. it is made in USSR.
Simply Amazing !!
the prof. is excellent
Such a great man!