Gilbert Strang: Singular Value Decomposition

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Күн бұрын

Full episode with Gilbert Strang (Nov 2019): • Gilbert Strang: Linear...
New clips channel (Lex Clips): / lexclips
Once it reaches 20,000 subscribers, I'll start posting the clips there instead.
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For now, new full episodes are released once or twice a week and 1-2 new clips or a new non-podcast video is released on all other days.
Clip from full episode: • Gilbert Strang: Linear... If you enjoy these clips, subscribe to the new clips channel (Lex Clips): / lexclips Once it reaches 20,000 subscribers, I'll start posting the clips there instead. For now, new full episodes are released once or twice a week and 1-2 new clips or a new non-podcast video is released on all other days.
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Gilbert Strang is a professor of mathematics at MIT and perhaps one of the most famous and impactful teachers of math in the world. His MIT OpenCourseWare lectures on linear algebra have been viewed millions of times.
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Пікірлер: 49

@lexfridman 4 жыл бұрын

Full episode with Gilbert Strang (Nov 2019): kzfaq.info/get/bejne/oquKg8merKmpm2Q.html New clips channel (Lex Clips): kzfaq.info Once it reaches 20,000 subscribers, I'll start posting the clips there instead. (more links below) For now, new full episodes are released once or twice a week and 1-2 new clips or a new non-podcast video is released on all other days. Podcast full episodes playlist: kzfaq.info/sun/PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4 Podcasts clips playlist: kzfaq.info/sun/PLrAXtmErZgOeciFP3CBCIEElOJeitOr41 Podcast website: lexfridman.com/ai Podcast on Apple Podcasts (iTunes): apple.co/2lwqZIr Podcast on Spotify: spoti.fi/2nEwCF8 Podcast RSS: lexfridman.com/category/ai/feed/

@pycool7595 3 жыл бұрын

Rotate, stretch, then rotate. Best one sentence explanation of SVD. Amazing, wow. I love professor Strang.

@Actanonverba01 3 жыл бұрын

AGREED

@sauwurabh 2 жыл бұрын

got a presentation about svd today. I'll be ending my presentation with this line.

@ANunes06 Жыл бұрын

Prof. Strang: "I don't really bother with trying to visualize it. I just go straight to 10 dimensions and everything still works fine." Also Prof. Strang: "SVD breaks a Matrix into three pieces. A Rotation, a Stretch and then a Rotation." What a legend.

@ozgegunaydin85 4 жыл бұрын

i am a big fan of Gilbert Strang he tells us very very very clearly and pure! Thnxs

@aiishg_ 4 жыл бұрын

He has true passion for teaching mathematics and that reflects in his videos. I have watche I don’t how many of his videos and it helped me a lot! What would have I done without his videos! 😅

@Paul_Hanson Жыл бұрын

I just ran into another KZfaq video about linear algebra by one of Mr. Strang's pupils. I knew the name sounded familiar but it wasn't until just now that I realized he was the author of my linear algebra textbook in college (Linear Algebra and Its Applications). I really enjoyed his presentation of the subject and I think he really helped me appreciate it.

@hyperbolicandivote 3 жыл бұрын

Lex, thanks for bringing interesting universals to the internet.

@rinkaghosh7961 2 жыл бұрын

Thank you prof. Strang !

@Actanonverba01 3 жыл бұрын

Great Stuff! I love it the way he explains it.

@sujitbasu2890 3 жыл бұрын

He is a God of Linear Algebra Teaching. He changed my concepts on this subject.

@harisridharan8693 3 жыл бұрын

Wonderful explanation Professor

@3bdo3id 2 жыл бұрын

He is so simply good grand 🧡

@eriknovak496 10 ай бұрын

I've always really enjoyed thinking of matrices through the Jordan decomposition, besides the SVD too

@muttleycrew Жыл бұрын

Gilbert Strang is being modest, he discovered the beautifully simple Strang decomposition which writes any matrix, A, as a product of the so-called column space of A and the reduced row echelon form of A. Matrices aren't new, decompositions aren't new either, but it took Gil Strang to find that almost unbelievably simple relationship.

@epicmarschmallow5049 Жыл бұрын

Everything I could find on the "Strang decomposition" was just CR decomposition, which was definitely not discovered by Strang

@SigmaChuck 2 жыл бұрын

As a math teacher, he is my idol.

@lupelicious822 Жыл бұрын

I took a math course in art school, taught by an adjunct from UC Berkeley, where linear algebra concepts were taught to us. I failed horribly at math in high school but I felt like I "got" numbers after that experience.

@taeukham623 3 жыл бұрын

Gotta study singular value decomposition right now

@axelnnz 10 ай бұрын

Amazing, thanks profesor Strang It's such a fundamental concept to everything ml and ai and still, it sound so banal

@APaleDot 2 жыл бұрын

Ooh, a rare chance to correct a renowned professor for a small inconsequential math mistake! I've got to jump on this! There are actually much _more_ than 10 ways to rotate an object in 10-dimensional space. Degrees of rotational freedom follow a combinatoric growth rate. So for instance, there are 6 ways to rotate in 4-dimensional space, 10 ways in 5-dimensional space, and so on...

@thinkandmove479 Жыл бұрын

Thank you for clarification. I also just wondered, if he really made a small mistake here.

@APaleDot Жыл бұрын

@@thinkandmove479 I'm sure if he was actually working through a problem he wouldn't have made that mistake. It was just an off-the-cuff comment in the middle of a sentence, and I thought it would be a good chance to explain some math.

@chrischoir3594 Жыл бұрын

Roll, Pitch, and Yaw

@notgoodatmathmmm6185 4 жыл бұрын

amazing

@scientifically5812 3 ай бұрын

The King of linear algebra!!!!

@AbdoMohammed-jt5ye 12 күн бұрын

And calculus

@eldyy9328 4 жыл бұрын

@Lex Fridman Hey, Lex. You should bring Dr Harold G. White on the podcast to talk about NASA's Advanced Propulsion Physics Laboratory. It may spark more interest in the field.

@lexfridman 4 жыл бұрын

Great recommendation. I added him to the list. By the way, I try to read all recommendations for guests. Most are fascinating people. I love it! Even if I don't respond, please keep them coming. I'm likely to interview them eventually if you post it.

@TheRealKGD 4 жыл бұрын

Lex Fridman please interview Jitendra Malik, Bill Freeman, Raquel Urtasun, Vladlen Koltun, ... (see the computer vision trend 😀)

@zavierbanerjee5171 7 ай бұрын

🙏🙏🙏

@kevalan1042 Жыл бұрын

SVD should be called RSR

@humblesoul8685 Жыл бұрын

After Guass, gil strang is linear algebra's promoter

@user-saint 2 жыл бұрын

Rotate, Stretch , Rotate

@dirkmichaelis6055 Жыл бұрын

To me, the picture looks wrong or unusual, I am used to U being m x n and sigma being n x n. Sure, this is not a math class, however ...

@LilyMyLolita Жыл бұрын

Well, it's actually more common that U being m x m, sigma being m x n, Vt being n x n. See en.wikipedia.org/wiki/Singular_value_decomposition

@aanchaldogra9802 3 жыл бұрын

I genuinely feel 3blue1brown would be huge fan of you. He seems to be carrying your legacy forward with latest technologies of course.

@gzitterspiller 3 жыл бұрын

not even close

@aanchaldogra9802 3 жыл бұрын

@@gzitterspiller what I meant was he is using the technologies efficiently to teach. Ofcourse he can't match him in any other field.

@amonal42 4 жыл бұрын

4:19 - "up to ten dimensions you got 10 ways to turn". That is not true. You have N(N-1)/2 ways to turn in N dimensions.

@leonardod248 4 жыл бұрын

comment the proof

@amonal42 4 жыл бұрын

@@leonardod248 en.wikipedia.org/wiki/Orthogonal_group#As_algebraic_groups

@gzitterspiller 3 жыл бұрын

You are talking about the degrees of freedom of a rotation matrix... Gilbert was talking about the independant axis you can turn.

@amonal42 3 жыл бұрын

@@gzitterspiller I know no meaningful way to talk about a single axis of rotation in 10-dimensional space. There are 2 axis that rotate and 8 axis that are fixed in basic rotation.

@bl1398 3 жыл бұрын

Rotation is 2d is around a point, in 3D around a line, in 4d around a plane, I guess it isn’t just n