Singular Value Decomposition (SVD): Overview

แชร์
ฝัง
  • เผยแพร่เมื่อ 30 ก.ย. 2024
  • This video presents an overview of the singular value decomposition (SVD), which is one of the most widely used algorithms for data processing, reduced-order modeling, and high-dimensional statistics.
    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...
    Book Website: databookuw.com
    Chapters available at: databookuw.com/...
    Brunton Website: eigensteve.com
    This video was produced at the University of Washington

ความคิดเห็น • 183

  • @kevintoner6068
    @kevintoner6068 4 ปีที่แล้ว +279

    "I'm gonna walk you through..."
    Dude has no legs and is still gonna walk. #Inspirational

    • @vaibhavsharma1634
      @vaibhavsharma1634 3 ปีที่แล้ว +5

      how do I like this twice

    • @sydlogan9300
      @sydlogan9300 3 ปีที่แล้ว +9

      He also seems to be able to apply a mirroring transformation allowing him to write backwards.

    • @ayoubsbai6339
      @ayoubsbai6339 3 ปีที่แล้ว

      I can't unsee that now lmao

    • @wzyjoseph7317
      @wzyjoseph7317 3 ปีที่แล้ว +1

      and write words in mirrow form omg

    • @glq-xz9de
      @glq-xz9de หลายเดือนก่อน +1

      hahahaha!!! LMAO!

  • @manishamin7142
    @manishamin7142 3 ปีที่แล้ว +52

    is he filming through a mirror or writing backwards? or mirroring the video before posting? what is going on here, how is he writing backwards!?!

    • @charlieolivergomez2376
      @charlieolivergomez2376 3 ปีที่แล้ว +2

      it's called a lightboard, just google it

    • @fixed-point
      @fixed-point 3 ปีที่แล้ว +1

      "just google it". I guess some people can't help but be assholes

    • @charlieolivergomez2376
      @charlieolivergomez2376 3 ปีที่แล้ว +1

      @@fixed-point did i hurt your feelings little man? I think you need to grow up. I don't know much except that it is called a lightboard and google definitely knows more than me. It is an admission that I'm not an expert. Who's the asshole, asshole

    • @fixed-point
      @fixed-point 3 ปีที่แล้ว +9

      @@charlieolivergomez2376 looks like I hurt your feelings. I'm sorry 😢

    • @charlieolivergomez2376
      @charlieolivergomez2376 3 ปีที่แล้ว +1

      @@fixed-point No offense taken brother. It was my fault in the first place for not being clear

  • @aravindhvasu195
    @aravindhvasu195 4 ปีที่แล้ว +55

    Oh my god, was going through the control bootcamp, hit a wall with SVD, the next day, series in SVD. Thanks a lot for these gorgeous lectures.

  • @philippbeer
    @philippbeer 3 ปีที่แล้ว +53

    This is a fantastic channel Dr. Brunton! I just stumbled across it searching for SVD and got hooked on the content. Your unpretentious, clear and thorough explanations are a delight. They way you've set up the board and screen projection is fantastic. I'm really impressed with this and want to say thank you to you and the team that made this production possible.

  • @itsgoubie
    @itsgoubie 4 ปีที่แล้ว +22

    It's really interesting to see how left-handedess works when mirrored. Quite an effect on the brain!

    • @danluba
      @danluba 3 ปีที่แล้ว +3

      Dude, I've been trying to figure out whether he's writing everything backwards, which side his parting is on, whether he's left-handed or right-handed, married or not...
      Do you understand what magic is this?!

    • @danluba
      @danluba 3 ปีที่แล้ว +1

      Haha... no worries - I've figured it out!

    • @aishaaijazahmad6184
      @aishaaijazahmad6184 2 ปีที่แล้ว

      @dan do tell because I have no idea how this video was made

    • @beastmode1647
      @beastmode1647 2 ปีที่แล้ว +4

      @@aishaaijazahmad6184 he writes normally on a piece of glass between him and the camera. Then, in editing, he mirrors the video
      It looks like he’s writing backwards with his right hand. In reality, he’s writing normally with his left hand

    • @evain4760
      @evain4760 ปีที่แล้ว

      @@beastmode1647 😂I was wondering how too ! Thank u

  • @jessysaintauret3615
    @jessysaintauret3615 4 ปีที่แล้ว +26

    Wow ! Wasn’t expecting a new video, especially on that topic though !
    Great to see you back on lecturing! The new video aspect looks great with the black background.
    Thank you !

  • @ryanjones1704
    @ryanjones1704 3 ปีที่แล้ว +15

    Truly a remarkable series of lectures. Infinitely appreciative.

    • @Eigensteve
      @Eigensteve  3 ปีที่แล้ว +3

      Glad you like them!

  • @yaoliu7034
    @yaoliu7034 4 ปีที่แล้ว +10

    Excellent! Can you add numbers (in the series) so we know what order to watch them? Thanks

    • @Eigensteve
      @Eigensteve  4 ปีที่แล้ว +9

      I have put everything into playlists, so that should help with the ordering.

  • @hecanyon2161
    @hecanyon2161 2 ปีที่แล้ว +1

    Super curious about how he writes in that direction with out hand writing flipped.😲

  • @hdadeathly
    @hdadeathly 4 ปีที่แล้ว +8

    Awesome videos - thanks so much for the easy-to-understand explanations. I just ordered the book and this greatly helps supplement!

  • @CSEVARUNKARTHICKP
    @CSEVARUNKARTHICKP ปีที่แล้ว +2

    are you left or right handed?

  • @ScottSummerill
    @ScottSummerill 4 ปีที่แล้ว +3

    Is there an order to all these videos? Difficult to discern. Except for the ones that begin, “Welcome back ...”.

    • @Eigensteve
      @Eigensteve  4 ปีที่แล้ว +2

      Here is the playlist: th-cam.com/video/gXbThCXjZFM/w-d-xo.html

  • @charliehou9553
    @charliehou9553 3 ปีที่แล้ว +2

    Best lectures of SVD! BTW, Dr.Brunton looks like Filthy Frank (but more handsome than Papa Franku)

  • @andrewchen2349
    @andrewchen2349 4 ปีที่แล้ว +6

    Thank you, Dr. Brunton! Really hope you can upload more videos!

  • @majidkh2695
    @majidkh2695 3 ปีที่แล้ว +2

    Great stuff; thanks a lot. Quick question! Is it fair to say that the left singular vectors reflect the distribution (statistical distribution) of the column vectors?!

  • @vermashwetank
    @vermashwetank 4 ปีที่แล้ว +3

    I am learning this because I saw this being used in Battery modelling for electric vehicles. I don't understand how it is used (which is why I am here) but you can add that to number of applications of SVD

  • @pranavthiriveedhi8127
    @pranavthiriveedhi8127 4 ปีที่แล้ว +6

    hey, steve! just wanted to say that I am doing data science in college right now and it is really hard to learn when you don't understand why you are doing something but you make it really easy to understand why we do a certain thing and how it actually connects to data science. so thank you sm!

    • @PunmasterSTP
      @PunmasterSTP ปีที่แล้ว

      Hey I just came across your comment and was curious. How have your studies in data science been going?

  • @nishantaswani8976
    @nishantaswani8976 4 ปีที่แล้ว +6

    Thank you so much for the effort you put in to help others. So grateful for the quality content. I'm very privileged to have access to this quality of teaching!

  • @sapertuz
    @sapertuz 4 ปีที่แล้ว +3

    Hey Steve. Silly question... Did you learn to write backward so you can do these videos or how do you achieve this? 😅

    • @and_jannis
      @and_jannis 3 ปีที่แล้ว

      mirror the video ;)

    • @musaerdemsevim
      @musaerdemsevim 3 ปีที่แล้ว

      @@and_jannis no it is not. He is actually writing from his right to left as backwards

    • @TEOGUN
      @TEOGUN 3 ปีที่แล้ว

      th-cam.com/video/wCOuu0-o5YI/w-d-xo.html HE is probably shooting through a mirror

  • @Qornv
    @Qornv 4 ปีที่แล้ว +2

    I love finding wonderful teachers unexpectedly

  • @shubhamkumarsaurav5212
    @shubhamkumarsaurav5212 3 ปีที่แล้ว +1

    You like like "Harrison wells" character in the flash season 1. He was a great scientist and teacher in Reel life , You are same in real life.
    Very nice Videos, Thank you

  • @markreichelt9281
    @markreichelt9281 5 หลายเดือนก่อน +1

    These videos are priceless. Thank you for such a clear exposition of an important topic.

  •  4 ปีที่แล้ว +28

    I always wondered how these videos are recorded. Is there a glass between you and the camera? Great content anyways!

    • @Sonnentau1
      @Sonnentau1 4 ปีที่แล้ว +28

      Blind guess: Its glass and than they flip the video horizontally... Or Mr Brunton is not only a genius but is also able to write mirror font.
      I finde both equally likely

    • @jobleser
      @jobleser 4 ปีที่แล้ว +10

      @@Sonnentau1 Dr Brunton seems to be actually left-handed as per other videos; so the glass/flip-video hypothesis/trick seems likely. Neat.

    • @radarmaker1
      @radarmaker1 4 ปีที่แล้ว +2

      Wedding band on the "right" hand, so think he's left-handed and image flipped :)

    • @hariprasadhparthasarathy6360
      @hariprasadhparthasarathy6360 4 ปีที่แล้ว +8

      I have asked Prof brunton in another video about the exact same thing and he replied with 'years of practice' :)

    • @dylangomes3853
      @dylangomes3853 4 ปีที่แล้ว +2

      If there is glass, the writing is still backwards relative to the writer. I don't see how it matters if you flip it.

  • @trungkienngo6267
    @trungkienngo6267 ปีที่แล้ว

    The writing is trippy man. The words are not supposed to look like that if he’s facing the camera, it’s supposed to be from right to left and written backward. How does the writing looks like normal in the video? Unless the guy is writing backward

  • @kannakamuiedits
    @kannakamuiedits 2 ปีที่แล้ว +1

    Svd like when I be pulling out this Russian svd dragunov in the school

    • @WealthyInsuranceOfficial
      @WealthyInsuranceOfficial ปีที่แล้ว

      D - Decomposition
      R - Rational
      A - Angle
      G - Geometry
      U - Unitary
      N - Numbers
      O - Obstacle
      V - Variation

  • @AnqHuang
    @AnqHuang หลายเดือนก่อน

    How can I make such an instructional video? This handwritten text feels like it is written upside down in the mirror.

  • @sarahgorton2991
    @sarahgorton2991 ปีที่แล้ว

    bruh, did you learn how to write backwards? am I tripping?

  • @existentialrap521
    @existentialrap521 11 หลายเดือนก่อน

    HUH, sounds important, Steve
    ima make bank using this u kno what it be. we want benjamins, baby u kno what it is

  • @DollyCalvin-n3p
    @DollyCalvin-n3p 16 วันที่ผ่านมา

    Rodriguez Shirley Brown Brenda Lopez Donald

  • @LouiseBoyd-k2m
    @LouiseBoyd-k2m 23 วันที่ผ่านมา

    Williams Kenneth Garcia Christopher Brown Eric

  • @vlogs627
    @vlogs627 ปีที่แล้ว

    Just surprised at the production logic behind the video. Had to think for solid 5 min to figure out how it was recorded and edited for us to be able to read those words.
    I got inner peace after figuring that out.

  • @d7ffab979
    @d7ffab979 2 ปีที่แล้ว

    Oh man you should really update your math. Your understanding of math is ... off.

  • @hubstrangers3450
    @hubstrangers3450 4 ปีที่แล้ว +2

    Hope the series could link to the colab, thanks for the content.

  • @Otohmanuye
    @Otohmanuye 6 หลายเดือนก่อน

    I’m searching SVD gun and this video shows up

  • @e1eventeen148
    @e1eventeen148 2 ปีที่แล้ว

    Yes yes the math is cool and all but homeboy is writing backwards like it's nothing

  • @wentaowu3070
    @wentaowu3070 8 หลายเดือนก่อน

    I have to say: not only the lectures are really handsome, the man himself is also really handsome. hahaha. What a great educator!

  • @jyoti_4568
    @jyoti_4568 3 ปีที่แล้ว +2

    This series helped me immensely. Thanks a lot!

  • @PunmasterSTP
    @PunmasterSTP ปีที่แล้ว

    SVD overview? More like "Super great information that everyone should view!" 👍

  • @jerrygaoswald7497
    @jerrygaoswald7497 16 วันที่ผ่านมา

    Thompson Donna Miller Jessica Robinson Amy

  • @colamity_5000
    @colamity_5000 ปีที่แล้ว

    Am I stupid or does he have to be writing backwards for this to work?

  • @RoseLerman-d6c
    @RoseLerman-d6c 22 วันที่ผ่านมา

    Taylor Michelle Hernandez Sandra Johnson Angela

  • @phamhongvinh550
    @phamhongvinh550 4 ปีที่แล้ว +2

    Thank you so much for the content.

  • @3ss3ns3
    @3ss3ns3 3 ปีที่แล้ว +1

    SVD is gangsta until Matrix: 1000000 x1000000 arrives!!

    • @Eigensteve
      @Eigensteve  3 ปีที่แล้ว +1

      Then hit it with randomized SVD!

  • @Dimpu82
    @Dimpu82 2 ปีที่แล้ว

    Great video.
    Wish my ADHD brain would stop focusing so much on the handwaving and the hows and why of the this weird otherworldly transparent glassboard/whiteboard

  • @lacnguyen178
    @lacnguyen178 3 ปีที่แล้ว +1

    What application did you use to make this transparent board?

    • @Eigensteve
      @Eigensteve  3 ปีที่แล้ว

      We are using the lightboard

  • @Stutteringjohnfan2015
    @Stutteringjohnfan2015 7 หลายเดือนก่อน

    Machine Learning for Manufacturing Automation is a brand new course being offered at Missouri University of Science and Technology, and I am in the second class ever to go through it. Thanks for your videos, they’re very helpful to establish intuition!!

  • @jacobwise7008
    @jacobwise7008 ปีที่แล้ว

    For the first 3 minutes and I was so confused and amazed by his incredible talent for mirror writing (it looked as good as my normal handwriting!) Then I realized he probably flipped the video 😅😆

  • @محدثهاحمدی-ق6ط
    @محدثهاحمدی-ق6ط ปีที่แล้ว

    0:52 ! how it is possible? writing backward!!!

  • @ahmedgharieb5252
    @ahmedgharieb5252 ปีที่แล้ว

    If I have a single time series.. Then what should i do to get eigenvalues?

  • @MsAlarman
    @MsAlarman 2 ปีที่แล้ว +1

    Really amazing how you introduce us to “mysterious” ways of manipulating our interests in such a crystal clear way!

  • @eduardocruzism
    @eduardocruzism 4 ปีที่แล้ว

    HOW THE HELL IS HE WRITING? Even if you have a glass between him and the camera it still makes no sense.

  • @Falconoo7383
    @Falconoo7383 2 ปีที่แล้ว

    at 5:34... How we can make money from Linear Algebra?

  • @Mustafa51993
    @Mustafa51993 4 ปีที่แล้ว +1

    Wow soo good to have you back 😃....Thank you

  • @chrischoir3594
    @chrischoir3594 4 ปีที่แล้ว

    These days if you say the words "Cloud" and "Machine Learning" in the same sentence venture capitalists will swarm

  • @videofountain
    @videofountain 4 ปีที่แล้ว

    Good Presentation. 👩🏽‍🏫. There is a book and .pdf listed above. Where can I find how correlated or not these documents are? Do these two documents work together? Does the .pdf document have an errata sheet? Thanks.

  • @randythamrin5976
    @randythamrin5976 4 ปีที่แล้ว

    I've done watched the videos, till data visualization - buyer beware. Please tell me, should I watch another one playlist before watch this video? Like linear algebra or begining scientific computing? Thank you

  • @bediosoro7786
    @bediosoro7786 3 ปีที่แล้ว

    i understand clearly how to compute the SVD. but it seems like that i forgot something. if i have a matrix of nxn and i want to reduce the dimesion to rxr . how do i get the rxr matrix? if someone knows inform me i need it right away.

  • @huaiyizhao8896
    @huaiyizhao8896 ปีที่แล้ว

    You don't even need to take notes. Just take a screenshot of the sketches

  • @Jean-BaptisteMalagnoux
    @Jean-BaptisteMalagnoux ปีที่แล้ว

    Does someone now what marker pen this guys use ?

  • @mndhamod
    @mndhamod 3 ปีที่แล้ว

    You are left-handed. Gotcha!

  • @ehabnasr6925
    @ehabnasr6925 ปีที่แล้ว

    Where can I find -in the playlist- the "tailored" data-driven transforms part?

  • @shailshah5803
    @shailshah5803 ปีที่แล้ว

    are you writing backwards on a glass board or is this some kind of editing magic ... this keeps me up at night

  • @blitzkringe
    @blitzkringe 3 ปีที่แล้ว

    I tried to get a tailored basis for my data using SVD, and it yielded the exact Fourier basis. :D

  • @woowooNeedsFaith
    @woowooNeedsFaith 4 ปีที่แล้ว +1

    Why this video is available only in HD? It can be a bit problematic...

    • @mcmormus
      @mcmormus 4 ปีที่แล้ว

      i have all the options from 144p up to 1080p...

    • @woowooNeedsFaith
      @woowooNeedsFaith 4 ปีที่แล้ว

      Strange. I still have only 1440p and 2160p options.

    • @Eigensteve
      @Eigensteve  4 ปีที่แล้ว

      Sorry about that. Newer videos will have this issue fixed.

  • @EW-mb1ih
    @EW-mb1ih 2 ปีที่แล้ว

    What do that mean "Data-driven" generalization of FFT?

  • @tanyapatel4130
    @tanyapatel4130 2 ปีที่แล้ว

    i really like the video presentation and clarity of topics, stayed and subscribed.

  • @daledejameses8287
    @daledejameses8287 11 วันที่ผ่านมา

    Walker Lisa Moore Mark Davis William

  • @Veptis
    @Veptis 2 ปีที่แล้ว +6

    Watched a lecture on SVD as part of a vector semantics course. Will watch the 2nd part and exercise tomorrow, but I added a few of your videos to my watch later and will watch them over night. Your rather visual explanations always help me to understand the concepts and see their use.

  • @jacobanderson5693
    @jacobanderson5693 4 ปีที่แล้ว +1

    Thanks for posting these videos

  • @garrettdyess1110
    @garrettdyess1110 2 ปีที่แล้ว

    Which classes would be prerequisites for this content if it were to be presented in a class at a University?

  • @nisbahmumtaz909
    @nisbahmumtaz909 2 ปีที่แล้ว

    Yo, how do you learn to write in reverse like that

  • @hoopssheaffer
    @hoopssheaffer 2 หลายเดือนก่อน

    How does he write backwards?

  • @GreenBean0222
    @GreenBean0222 7 หลายเดือนก่อน

    Thank you so much for this video series. It helped me a lot!

  • @flybekvc
    @flybekvc 4 ปีที่แล้ว +1

    Is there some video for each chapter of the book?

    • @Eigensteve
      @Eigensteve  3 ปีที่แล้ว

      Yes, we tried to break it down so each section has a video.

  • @LGURUGUBELLISAIKUMAR
    @LGURUGUBELLISAIKUMAR 3 ปีที่แล้ว

    nice explain how to interact with you

  • @Mario112352
    @Mario112352 2 ปีที่แล้ว

    Can not access some of the function since they are in the Statistical Toolbox.

  • @botx_x3602
    @botx_x3602 2 ปีที่แล้ว

    great lecture bt where are your legs dude??

  • @rodentrider2
    @rodentrider2 15 วันที่ผ่านมา

    svd gun?

  • @kunalvshah
    @kunalvshah 3 ปีที่แล้ว

    Hi, is there any sequence I should follow to watch these videos ?

  • @alexandresibony1345
    @alexandresibony1345 2 ปีที่แล้ว

    The fact that you are left handed makes it even more confusing

  • @matthewprestifilippo7673
    @matthewprestifilippo7673 2 ปีที่แล้ว

    I didnt find this talk helpful.

  • @loden5677
    @loden5677 9 หลายเดือนก่อน

    Thanks so much for this series, I’m so excited to watch it! Just wondering if there are videos for all chapters of the book or only a select few?

  • @VedJoshi..
    @VedJoshi.. 2 ปีที่แล้ว

    never realized that Prof Kutz was your colleague. he really is a legend.

  • @ehabnasr6925
    @ehabnasr6925 ปีที่แล้ว

    Thank you so much for these videos I'm persuing the playlist and I really love it!

  • @aubinthomas
    @aubinthomas 4 ปีที่แล้ว

    I did high graduate school in engineering and I learned there how to hate mathematics. If only I had such a teacher, it would have been definitely different.

  • @LostScvng
    @LostScvng 3 ปีที่แล้ว

    Legit

  • @HowardWindsor-d6s
    @HowardWindsor-d6s 5 วันที่ผ่านมา

    Domingo Terrace

  • @justinli19901027
    @justinli19901027 4 ปีที่แล้ว +1

    love it, what a series, thank

  • @FrankGibbs-e7p
    @FrankGibbs-e7p 8 หลายเดือนก่อน

    What dry erase markers do you use?

  • @sddff-x6s
    @sddff-x6s 23 วันที่ผ่านมา

    Freda Groves

  • @adricat59
    @adricat59 4 ปีที่แล้ว +1

    Thank you! It is nice to have you back 😉

  • @FannyStickle-q8o
    @FannyStickle-q8o 23 วันที่ผ่านมา

    Baumbach Spurs

  • @thomaslombardi1801
    @thomaslombardi1801 ปีที่แล้ว

    I know what you did...

  • @AvisShuff-e2v
    @AvisShuff-e2v 5 วันที่ผ่านมา

    Ortiz Stravenue

  • @mohamedelaminenehar333
    @mohamedelaminenehar333 3 ปีที่แล้ว

    Thank you ))
    Sir can you tell us the most important math lessons a student of automatic control and signals needs?
    😊😊😊😊

  • @PaulGarcia-h8e
    @PaulGarcia-h8e 15 วันที่ผ่านมา

    Moen Harbors

  • @CruzFewell-h2s
    @CruzFewell-h2s 14 วันที่ผ่านมา

    Kellen Course

  • @afiqyahya3398
    @afiqyahya3398 4 ปีที่แล้ว

    Guess I'm late to the party. Just found out your channel. Damnnnnn

  • @austinkim8183
    @austinkim8183 3 ปีที่แล้ว

    how does this guy write backwards so fast

  • @the_hasnat
    @the_hasnat ปีที่แล้ว

    harrison wells