Singular Value Decomposition (SVD) and Image Compression
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- čas přidán 2. 06. 2024
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In this video, we learn a very useful matrix trick called singular value decomposition (SVD), in which we express a matrix as a product of two rotation matrices and one scaling matrix.
We also show a very interesting application to image compression.
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Introduction: (0:00)
Transformations: (0:50)
A puzzle: (1:27)
A harder puzzle: (2:21)
Linear transformations: (3:50)
Dimensionality reduction: (10:50)
Image compression: (23:57) - Věda a technologie
![SVD: Image Compression [Python]](/img/n.gif)
Best explanation on SVDs. Keep it up Luis !!
Thanks Ahmad, coming from a top youtuber like you, this is great praise!
I must admit one of the simplest and efficient explanation of SVD. Loved it.
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.
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!!
This is literally amazing. Please keep your work.
This is the definition of perfect! I can't imagine anyone can explain these concepts better than him! Really appreciate it!
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!
Thank you Debarchan! I have some playlists on the front page of the channel (czcams.com/users/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!
@@SerranoAcademy Nice
Much agreed. He's a genius!
This is truly an awesome tutorial. Thanks Luis!
I particularly love your explanation for image compression...just amazing! Thanks much!
Thank You Luis Serrano for making such concepts very easy to understand.
Great video, it's really nice to see that kind of explanation out there :) Keep it up
That's a great explanatory video. Thank you for making it crystal clear.
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!
The first half of the video is one of the best intruductions on SVD that I could find so far. Thank you so much.
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 ❤️
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!
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...
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.
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!
Indeed amazing demonstration of complex things!
Wow! Seriusly this is perfect! You go direct to the root of it. Thank you a lot for making it easy to understand 😀😀
Excellent explanation Luis. Thank you very much.
Amazing! All so plain and simple to see and understand the full concept of ML.
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!
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!
Excellent. crisp and comprehensive👌
Probably the best explanation of the SVD technique that I've seen so far. Good job!
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.
Such a detailed video. Many thanks for sharing!
I've watched several videos trying to explain what linear transformations are and this one hit home for me...thank you!
This is extraordinary! Thanks a lot for simplifying the visual intuition behind SVD so clearly.
Best video in CZcams about SVD. Need more ML related videos. Keep it up :)
By far this is the most clear explanation about SVD ! Greatly appreciate your work and efforts
Wow, you explained SVD in such a nice and clear manner! Love it. Thank you so much.
This is the best, the best, the best explanation of SVD, image compression I could find on youtube. Thank you so much Mr. Serrano!
Thank you, Mr. Luis Serrano. Much appreciated: the entire effort to put out the video with so much dexterity...AWESOME!!
Thank you Viswapriya!
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 !
Thank you ! You´re explaining this concept in such a perfect way with so many good examples and visiuals. Keep up the good work :)
You have saved me man, I had a presentation tomorrow on SVD, and now I have got everything that I need to know.
Wow! This is the most clear explanation on SVD.
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.
I've spent 3 hours finding this amazingly clear explanation instead of studying messy course notes and it worthed it:) Thank you, Mr. Serrano.
Brilliant explanation. Great work. keep it up.
This explanation was absolutely amazing. Thank you so much for your help!
This is the best presentation on SVD ever seen.
Awesome awesome awesome illustration. Thank you, you made the idea very clear and simple
You are most amazing person that know how to teach to make it intuitive.
One of the best explanations ever!
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.
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!
Wow! Great explanation on SVD! Thank you!
this is the best explanation on SVD ive seen thank you! you really explain the logic behind it well
El mejor video de la vida para entendelo todo! SVD y PCA los aprendi gracias a los videos de este canal. Muchas Gracias.
Thank you sir for simplifying the depth of topic with such visuals under 30 mins 🙏. Now I have practical intuition of SVD
Hands down, the best video ever for svd. Thank you so much, Sir.
This is pretty amazing explanation. So insightful.
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!
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
Thanks a lot, Luis. It's very easy to understand the content and I love it.
This video is the most intuitive way of explaining the svd, thanks!
Amazing explanation. Thank you so much Luis.
Mr. Luis Serrano you are the BEST.
Very intuitive and clear! Super helpful^^
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.
Thank you! Hope you and your family are well too!
One of the finest explanation of singular value decomposition. Thank you!
Wow.... You took a very complex topic and turned it easy-peasy. Thank you.
This is hands down the best explanation of SVD on the internet. Thank you
Luis, you are a talented teacher. Thank you for this great explanation!
One of the best explanation for SVD .. To good.
this was an awesome explanation. please do more of these . thanks a lot. please do one on Independent Component Analysis (ICA)
One of the best and simple explanation of svd, thank u!
amaziing explanation! Huge thanks!
By far the best SVD explanation!
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!
Amazing explaination as usual
This video deserves more recognition!
Thank you very much for such a nice and simple-to-understand explaintion!
A big thank you for such a great explanation
What a great content, very much appreciated. Thank you
Best Explanation for intuition underlying SVDs
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
great video on SVD, helped me understand the concept really well, thank you very much 🙏
Absolutely brilliant. My brain absorbed it like a sponge. Will buy the book. Looks just fine for application without assuming any background
This video was amazing! Best explanation of the SVD I've seen so far.
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.
Amazing explanation. Thank you so much
The best explanation of svd ever !
I guess this is pretty important concept! Gonna watch it ❤️ thanks for sharing such awesome content!
Thank you Rushiraj!
This video is so amazing and I finally understood SVD! Thank you so much!
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!
Thank you so much for making SVD simpler, loved it,
Dude you are soo good at explaining things. Keep it up!!!!!!!!!!!!!!!
Excellent explanation! Thank you so much for the great video.
Thanks for the video. It is an excellent explanation of SVD and image compression.
Amazing. I really loved the explanantion
Really awesome video . Thank you
This video is great and clear explanation.
Thank you so much this. I am really happy I found your channel.
I have been struggling to understand SVD.
Thank you for clear explanation! :)
Perfect explanation, thank you.
Great explanation!