Singular Value Decomposition (SVD) and Image Compression

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  • Опубликовано: 27 ноя 2024

Комментарии • 304

  • @AhmadBazzi
    @AhmadBazzi 4 года назад +68

    Best explanation on SVDs. Keep it up Luis !!

    • @SerranoAcademy
      @SerranoAcademy  4 года назад +5

      Thanks Ahmad, coming from a top youtuber like you, this is great praise!

  • @debashisghosh3133
    @debashisghosh3133 4 года назад +41

    I must admit one of the simplest and efficient explanation of SVD. Loved it.

  • @sampadmohanty8573
    @sampadmohanty8573 4 года назад +62

    I cannot express my happiness enough. You are inspiring many and I am going to strive to do as much as I can to make my students understand. True teachers are underappreciated. Much love.

  • @rohitekka2674
    @rohitekka2674 4 года назад +27

    This is the most crisp, lucid, and downright amazing explanation of the concept with demonstration. I could make out the efforts you have taken in designing this video, answering every detail of the concept and covering all possible scenarios every step of the way. You're hands down brilliant, thank you for this creation!!

  • @andrewchen7710
    @andrewchen7710 3 года назад +4

    So comprehensive yet always to the point. Amazing quality. My professor mentioned in passing that the Mars rovers perform SVD and only select the first few largest singular values to send back and you explained perfectly why this works!

  • @HACKINGMADEFUN
    @HACKINGMADEFUN 3 года назад +1

    My professor taught this in class and I was like what is the use of this. After watching this, I realised how fascinating this stuff is. Thanks a lot for making this. Shared with my friends.

  • @recepyldrm3608
    @recepyldrm3608 3 года назад +3

    I've spent 3 hours finding this amazingly clear explanation instead of studying messy course notes and it worthed it:) Thank you, Mr. Serrano.

  • @debarchanbasu768
    @debarchanbasu768 4 года назад +12

    Luis, you are a freakin’ genius 💜 There’s no way someone would not be able to understand any math concept if taught in such a lucid way.
    Sir, it’s a humble request from my side (and I’m sure a lot of others would agree with me) to create an ordered playlist on math for machine learning, it’d be of great help!

    • @SerranoAcademy
      @SerranoAcademy  4 года назад +3

      Thank you Debarchan! I have some playlists on the front page of the channel (ruclips.net/user/LuisSerrano), on supervised/unsupervised learning, probability, etc. Also, I organized all the videos into topics here: serrano.academy. Let me know if they help, or if you have any different suggestions. Cheers!

    • @questforprogramming
      @questforprogramming 4 года назад +1

      @@SerranoAcademy Nice

    • @willw4096
      @willw4096 Год назад

      Much agreed. He's a genius!

  • @Alexsemers
    @Alexsemers 2 года назад +3

    I have been struggling with the concept of SVD for months and now I finally get it with this clear and friendly tutorial. Thank you!

  • @chrysanthi6562
    @chrysanthi6562 3 года назад +2

    Having to compose a mathematical essay about the usage of SVD in image compression, without having been taught about the concept of linear algebra, I had to look for appropriate sources that would help me understand the theory. After hours of online research I managed to find your video and I have to admit that I'm impressed. Your analysis is both thorough and comprehensive in the simplest way possible. Thank you so much for your help! Keep up the good work!

  • @hessame9496
    @hessame9496 3 года назад +13

    This is the definition of perfect! I can't imagine anyone can explain these concepts better than him! Really appreciate it!

  • @ishaantonk159
    @ishaantonk159 2 года назад +1

    i have been finding study material to learn SVD and in this journey I went through several PDFs, slides and few books but this video is the best and crisp explanation of this algorithm. Thanks!

  • @Satvikshukla0007
    @Satvikshukla0007 2 года назад +1

    You have saved me man, I had a presentation tomorrow on SVD, and now I have got everything that I need to know.

  • @abdolkarimmehrparvar6583
    @abdolkarimmehrparvar6583 29 дней назад

    Usually for each topic that I search for, I watch couple videos, but hey dear youtuber just land here, he did the best explanation, thanks

  • @fgh680
    @fgh680 4 года назад +15

    Thank you, Mr. Luis Serrano. Much appreciated: the entire effort to put out the video with so much dexterity...AWESOME!!

  • @gauravsaxena19
    @gauravsaxena19 4 месяца назад

    With due respect , but what Dr Boyd and Dr Strang could not help me understand, you made it so simple to get in for a lifetime... Thank you so much..

  • @wackojacko1997
    @wackojacko1997 Год назад

    Two Thumbs Up!!!! I have been all over RUclips the past two days watching presentations on SVD (many of them very good), and I am only 3:45 into this video and I **NOW** understand why there are two rotations involved with this simple illustration. This was gold and very, very helpful. Thank you!👍👍

    • @wackojacko1997
      @wackojacko1997 Год назад

      Okay, mind blown a second time here at minute 13:00. Seeing the visual for why when the second scaling factor is zero it compresses the line and thus reduces the dimension via the degenerate transformation. Again, I've seen the math elsewhere, but not until the visual here did I actually understand what was going on. Thank you again.

  • @okeuwechue9238
    @okeuwechue9238 2 года назад +1

    Probably the best explanation of the SVD technique that I've seen so far. Good job!

  • @baurks
    @baurks Год назад

    This is hands down the best explanation of SVD on the internet. Thank you

  • @vicentevivanco77
    @vicentevivanco77 2 года назад +1

    This explanation is genius. After watching a few videos on the subject, I got to this one and wow, everything I just saw made sense. A few people have this talent, and it’s awesome that you’re helping others with it. Keep up with your content!

  • @bm-ub6zc
    @bm-ub6zc 4 года назад

    This IS the best explanation of ANYTHING (no matter what field, what topic) I've ever got in my life about something. Incredibly visual didactic style. Grandioso!

  • @jameslaurie6300
    @jameslaurie6300 3 года назад +1

    I've watched several videos trying to explain what linear transformations are and this one hit home for me...thank you!

  • @ssitakiran
    @ssitakiran 2 года назад +2

    You are one of the best teachers i have ever come across. Please keep helping people like me with awesome explanations. May god bless you !

  • @tpz1474
    @tpz1474 2 года назад +1

    Easily the best explanation on youtube by far - I've been going all over trying to understand what SVD actually means. This video provided that and so much more, will catch your other videos and hopefully they're as good!

  • @grjesus9979
    @grjesus9979 4 года назад +5

    Wow! Seriusly this is perfect! You go direct to the root of it. Thank you a lot for making it easy to understand 😀😀

  • @MrZidane1128
    @MrZidane1128 3 года назад +1

    By far this is the most clear explanation about SVD ! Greatly appreciate your work and efforts

  • @anderslindstrom1575
    @anderslindstrom1575 3 года назад

    BRAVO! If anyone of you viewers wonder what "disruption" looks like when it comes to technology and business models, this video is a perfect example. If we just narrow it down to getting the knowledge of, say SVD, then why on earth would anyone pay a tuition fee, commute for hours or relocate, to sit in front of a mediocre "teacher" who do not have the interest or pedagogical skills to teach (we have all had these "teachers" and it sucks! Is that not why you are here?!?!), when you can watch a video of this quality with prefect explanations and examples at the comfort of your home as many times as you want for free(*)??? Eventually no one will!!! Education is truly democratized one video at a time...

  • @soonbinlee4049
    @soonbinlee4049 4 года назад +7

    This is literally amazing. Please keep your work.

  • @user-or7ji5hv8y
    @user-or7ji5hv8y 4 года назад +1

    Wow! This is the most clear explanation on SVD.

  • @souravdey1227
    @souravdey1227 3 года назад

    Sheer brilliance. Your clarity of thought is mind bending. Luis serrano, statquest, ritvickmath, krish naik and codebasics - this is pretty much my holy grail for datascience

  • @derjansan9564
    @derjansan9564 3 года назад

    The first half of the video is one of the best intruductions on SVD that I could find so far. Thank you so much.

  • @aeonsalgado4329
    @aeonsalgado4329 4 года назад +1

    El mejor video de la vida para entendelo todo! SVD y PCA los aprendi gracias a los videos de este canal. Muchas Gracias.

  • @shamshersingh9680
    @shamshersingh9680 3 года назад +1

    By far the best explanation I have seen for SVD. It could not be better than this. Thanks a lot Luis for this excellent video.

  • @CanDoSo_org
    @CanDoSo_org 2 года назад +1

    Wow, you explained SVD in such a nice and clear manner! Love it. Thank you so much.

  • @piyukr
    @piyukr 2 года назад

    This is the best, the best, the best explanation of SVD, image compression I could find on youtube. Thank you so much Mr. Serrano!

  • @user-wr4yl7tx3w
    @user-wr4yl7tx3w Год назад

    This is the best presentation on SVD ever seen.

  • @korean4130
    @korean4130 4 года назад +3

    I particularly love your explanation for image compression...just amazing! Thanks much!

  • @msp-99000
    @msp-99000 3 года назад +1

    Thank you sir for simplifying the depth of topic with such visuals under 30 mins 🙏. Now I have practical intuition of SVD

  • @muskangupta7058
    @muskangupta7058 4 года назад +1

    Thank You Luis Serrano for making such concepts very easy to understand.

  • @604_jassimshaji8
    @604_jassimshaji8 3 года назад +1

    I'm so happy to finally find you....the best...it was like you were answering my questions while I'm asking you in a live...hoping for more similar videos ❤️

  • @isaacjohnson8752
    @isaacjohnson8752 3 года назад +1

    You did a phenomenal job on this concept and video! This is the best explanation I have seen as to why we can drop smaller singular values and end up with a reasonable approximation!

  • @kiranchowdary8100
    @kiranchowdary8100 2 года назад

    World needs more people like you.

  • @askfskpsk
    @askfskpsk 2 года назад +1

    This is truly an awesome tutorial. Thanks Luis!

  • @wahabfiles6260
    @wahabfiles6260 4 года назад +2

    You are most amazing person that know how to teach to make it intuitive.

  • @ishitharajapakse9675
    @ishitharajapakse9675 4 года назад +1

    Best video in RUclips about SVD. Need more ML related videos. Keep it up :)

  • @susmitislam1910
    @susmitislam1910 3 года назад +2

    You're an excellent teacher, Luis. Can't thank you enough for the amazing explanations for these hard-to-grasp concepts. Hope you and your family are doing well during this pandemic.

    • @SerranoAcademy
      @SerranoAcademy  3 года назад

      Thank you! Hope you and your family are well too!

  • @leilanifrost771
    @leilanifrost771 4 месяца назад

    I never understood SVD until now. You are my favorite teacher :D

  • @its_me7363
    @its_me7363 4 года назад +2

    I really love the way you explain these Maths topics which I never understand in Linear Algebra classes as theory but here I got in this one video with clear visualization and moreover we can always follow in python code which is really cool to see. Thanks for effort and time for strangers like me. Just Keep going.

  • @HazemAzim
    @HazemAzim 4 года назад

    Best Explanation for intuition underlying SVDs

  • @prashant381
    @prashant381 3 года назад

    Absolutely brilliant. My brain absorbed it like a sponge. Will buy the book. Looks just fine for application without assuming any background

  • @dragon5038
    @dragon5038 2 года назад +1

    So informative and easy to follow. I love this. Thank you so much for taking the time to create this video. It's so important to know how the concepts we learn in class can be applied in real life. This has changed everything for me. Thank you again.

  • @TheGenerationGapPodcast
    @TheGenerationGapPodcast 3 года назад

    You are Democratizing quality technical education and making it accessible to all.

  • @ZavierBanerjea
    @ZavierBanerjea 2 месяца назад

    For Dr. Serrano : Vox Luis, Vox Dei 🙏
    Whenever I lack inspiration, I re-VIEW these gem videos!

    • @SerranoAcademy
      @SerranoAcademy  2 месяца назад +1

      Thank you for such a kind comment, what an honor. :) I'm glad you're enjoying the videos!

  • @NinadDaithankar5
    @NinadDaithankar5 7 месяцев назад

    This is extraordinary! Thanks a lot for simplifying the visual intuition behind SVD so clearly.

  • @TheWaWeL37
    @TheWaWeL37 3 года назад +3

    Great video, it's really nice to see that kind of explanation out there :) Keep it up

  • @AshishRanjan-jn7re
    @AshishRanjan-jn7re 2 года назад

    Wow... Much much better than any book or professor's explanation..

  • @xiluo8714
    @xiluo8714 3 года назад

    This video is the most intuitive way of explaining the svd, thanks!

  • @siddharthabhakta3261
    @siddharthabhakta3261 5 месяцев назад

    The best explanation & depiction of SVD.

  • @firstkaransingh
    @firstkaransingh 2 года назад

    Wow.... You took a very complex topic and turned it easy-peasy. Thank you.

  • @hardikrajpal2410
    @hardikrajpal2410 3 года назад

    This video deserves more recognition!

  • @googlesong8679
    @googlesong8679 8 месяцев назад

    this is the best explanation on SVD ive seen thank you! you really explain the logic behind it well

  • @dragolov
    @dragolov 3 месяца назад

    This reminds me of residual vector quantization. Respect, Luis Serrano!

  • @mahimanzum
    @mahimanzum 4 года назад +3

    this was an awesome explanation. please do more of these . thanks a lot. please do one on Independent Component Analysis (ICA)

  • @shantanubapat6937
    @shantanubapat6937 3 года назад

    One of the finest explanation of singular value decomposition. Thank you!

  • @trianaprietogalvan5881
    @trianaprietogalvan5881 3 года назад

    The best visual explanation of SVD.

  • @nzambabignoumba445
    @nzambabignoumba445 3 года назад

    Mr. Luis Serrano you are the BEST.

  • @shreesjourney4772
    @shreesjourney4772 4 года назад +1

    That's a great explanatory video. Thank you for making it crystal clear.

  • @shahryarhabibi7187
    @shahryarhabibi7187 2 года назад +2

    Very well explained! please upload some practical videos including coding as well.

  • @rushirajparmar9602
    @rushirajparmar9602 4 года назад +3

    I guess this is pretty important concept! Gonna watch it ❤️ thanks for sharing such awesome content!

  • @ricardoraymond9037
    @ricardoraymond9037 2 года назад

    Amazing! All so plain and simple to see and understand the full concept of ML.

  • @rng1160
    @rng1160 3 года назад +3

    Thank you! I came across SVD while doing natural language processing. This is the best explanation I have seen by far. Is there any chance you can do a chapter on SVD in the context of machine learning? Thank you again for the excellent work

  • @SC-ss8vb
    @SC-ss8vb 4 года назад

    By far the best SVD explanation!

  • @priyanka5516
    @priyanka5516 4 года назад

    Best explanation on the Internet

  • @vtdr
    @vtdr Год назад

    impressive, i've watched it first and got a bif confused... watched a more theoretical class on SVD next and got extra confused... finally I went back to this video with my new theory background and VOILA SVD now makes all the sense in the world

  • @kumarvis01
    @kumarvis01 3 года назад

    One of the best explanation for SVD .. To good.

  • @wongw-j4p
    @wongw-j4p 23 дня назад

    我最喜欢的SVD解释,很有用

  • @suprabhatkumar151
    @suprabhatkumar151 4 года назад

    Hands down, the best video ever for svd. Thank you so much, Sir.

  • @devchandan6161
    @devchandan6161 3 года назад

    Your video made help us made our entire presentation for college - Thanks a tonne!

  • @mayurgite4050
    @mayurgite4050 2 года назад

    Thank you so much for making SVD simpler, loved it,

  • @cagatay6259
    @cagatay6259 2 года назад

    The best explanation of svd ever !

  • @nagadevisanthanakrishnan3070
    @nagadevisanthanakrishnan3070 2 года назад

    Wow .it's so crazy and the mathematics representation was expressed in the pictorial representation of the beginning of this video is so awesome...keep rocking

  • @harperbye
    @harperbye 3 года назад

    One of the best and simple explanation of svd, thank u!

  • @sherkoalamer538
    @sherkoalamer538 Год назад

    Awesome awesome awesome illustration. Thank you, you made the idea very clear and simple

  • @salmabarakat9457
    @salmabarakat9457 Год назад

    Thank you so much, i have been struggling to understand SVD and finally I understood it well.

  • @yopedroaaron
    @yopedroaaron 4 года назад

    Luis, gracias por compartir tus videos. Realmente son de lo mejor de YT. Siempre recomiendo que te sigan(te descubrí en Udacity)...me encanta la forma en que abordas SVD, es la misma forma que uso yo mismo: abordarla desde un punto de vista geométrico. Evidentemente, la calidad del video me deja sin palabras...la magia de SVD es la reducción de dimensionalidad y la muestras magistralmente, la clave de esta reducción la dices en 11:33 determinante = 0...¡Bravo!

  • @mikeczyz
    @mikeczyz 4 года назад

    after watching this video, I finally understand the point of linear algebra. thank you!

  • @sw9012
    @sw9012 3 года назад

    Thank you, this is really good explanation just the right amount of abstraction for me (computer engineering background)

  • @vijaymaraviya9443
    @vijaymaraviya9443 4 года назад

    Excellent. crisp and comprehensive👌

  • @tyrelhess6605
    @tyrelhess6605 Год назад

    This explanation was absolutely amazing. Thank you so much for your help!

  • @shenge5347
    @shenge5347 3 года назад

    Just found your channel. I need to understand SVD for my work and this is great.

  • @MohamedMahmoud-ul4ip
    @MohamedMahmoud-ul4ip 4 года назад

    Great explaining such critical concept SVD ,
    Always clever in making complex concepts , easy and simple
    Thank you Serrano

  • @vats6
    @vats6 3 года назад

    Wow! A very much simple explaination of SVD with great intution and visualization! The best explaination of SVD I have found in internet so far. Thank you sir, also, could you please make a video about the computation of SVD in a detailed manner.

  • @emsdy6741
    @emsdy6741 3 года назад

    Thank you so much this. I am really happy I found your channel.
    I have been struggling to understand SVD.

  • @SM-xn9bv
    @SM-xn9bv Год назад

    Indeed amazing demonstration of complex things!

  • @beketmyrzanov1979
    @beketmyrzanov1979 3 года назад

    Luis, you are a talented teacher. Thank you for this great explanation!

  • @achyuthvishwamithra
    @achyuthvishwamithra 3 года назад

    One of the best explanations ever!

  • @PratuatAmatya-h8j
    @PratuatAmatya-h8j Год назад

    great video on SVD, helped me understand the concept really well, thank you very much 🙏

  • @samaustin7952
    @samaustin7952 3 года назад

    This video was amazing! Best explanation of the SVD I've seen so far.

    • @electric_sand
      @electric_sand 3 года назад

      After searching for this topic, I had a list of videos to choose from, then I remembered the great explanations I had gotten from this channel, so I selected this video... wasn't disappointed.

  • @Laura-xd6ry
    @Laura-xd6ry 3 года назад +1

    Thank you ! You´re explaining this concept in such a perfect way with so many good examples and visiuals. Keep up the good work :)

  • @masdeval2
    @masdeval2 3 года назад

    Very good! Thank you! Maybe would be interesting to mention that turn a circle into an ellipse is helpful to turn a non linearly separable set into a separable one.