Diffusion Models | Paper Explanation | Math Explained

  Рет қаралды 229,264

Outlier

Outlier

Күн бұрын

Diffusion Models are generative models just like GANs. In recent times many state-of-the-art works have been released that build on top of diffusion models such as #dalle or #imagen. In this video I give a detailed explanation of how they work. At first I explain the fundamental idea of these models and later we dive deep into the math part. I try to explain all of this on a really easy & intuitive level. After the math derivation, we look at the results from different papers and how they compare to other methods.
#diffusion #dalle2 #dalle #imagen
00:00 Introduction
02:48 Idea & Theory
07:06 Architecture
09:33 Math Derivation
26:59 Algorithms
28:22 Improvements
29:43 Results
31:34 Summary
Further Reading:
1. Paper: arxiv.org/pdf/1503.03585.pdf
2. Paper: arxiv.org/pdf/2006.11239.pdf
3. Paper: arxiv.org/pdf/2102.09672.pdf
4. Paper: arxiv.org/pdf/2105.05233.pdf
5. VAE & Reparam. Trick: lilianweng.github.io/posts/20...
6. Written Tutorial: lilianweng.github.io/posts/20...
PyTorch Implementation Video: • Diffusion Models | PyT...
Follow me on instagram lol: / dome271

Пікірлер: 410
@outliier
@outliier Жыл бұрын
Here is the implementation video in PyTorch: kzfaq.info/get/bejne/iqhzhc-f3LDYiok.html
@bootsncats1873
@bootsncats1873 Жыл бұрын
Q
@homataha5626
@homataha5626 Жыл бұрын
Hello, How did you make the animations in your video?
@ulamss5
@ulamss5 Жыл бұрын
Explaining the notations is a game changer... more educational content channels should do this.
@AdmMusicc
@AdmMusicc 3 ай бұрын
This was the best ML paper review I have ever seen. You stopped making videos but I would really love to see you go through more of this for more research in the field man! Hatsoff to you.
@-long-
@-long- 8 ай бұрын
For those who are confused about the recursive expansion at 13:13 (like I did), it's "a property of Gaussian distributions, where the variance of the sum of two independent Gaussian variables is the sum of their variances. "
@herrbonk3635
@herrbonk3635 5 ай бұрын
I'm confused about the notation q(Xt|Xt-1) and p(Xt-1|Xt). Never seen the result of a function presented as part of the argument before. Not even sure I understood which is which from his prose.
@yogeshsingular
@yogeshsingular 4 ай бұрын
Seems to follow from uncorrelated noise variables at different steps, using the formula var(X1+X2)=var(X1)+var(X2)+2cov(X1,X2) where cov(X1,X2)=0. We don't seem to need to use normality here
@sauvage_pikachu
@sauvage_pikachu Жыл бұрын
Hey, thanks very much for making this wonderful video! I just want to appreciate the fact that all notations are clearly explained before going into the math part. That helps a lot! Great work!
@christiandeverall5661
@christiandeverall5661 Жыл бұрын
I've watched a bunch of videos trying to understand Diffusion (Ari Seff, Assembly AI etc) and this one taught me the most by far. Please keep making videos!
@felixvgs.9840
@felixvgs.9840 2 жыл бұрын
What an amazing video!! I looked everywhere for a comprehensible video about Diffusion Models and yours was simply the best… Please keep up the effort and the great content :)
@NicholasRenotte
@NicholasRenotte Жыл бұрын
Wow, this is absolutely brilliant. Massive kudos for making quite the complex topic significantly more digestible!
@AICoffeeBreak
@AICoffeeBreak 2 жыл бұрын
This is incredible! Did not see a video with the math explanations of diffusion models yet. And you animated it in manim! Just great. 😎
@outliier
@outliier 2 жыл бұрын
thank you so much! actually it's not even animated with manim. It's all done in Premiere Pro haha. But I guess that I'll definitely do those things in manim in future videos....
@leif1075
@leif1075 Жыл бұрын
@@outliier Thanks for sharing bit how do ppl.not get bored and frustrated during the math lart..even if you are a math genius..and if you don't think of the smweird step of taking out the first term of the sum..can't you still reach the same goal? So why do thst at all?
@vladi21k
@vladi21k Жыл бұрын
After going through 4 different YT videos, yours was the only one that was clear enough for me to understand. Thank you very much!
@user-sz1iw4zi4y
@user-sz1iw4zi4y Жыл бұрын
This video is amazing. I think the format of your video was incredible, you went over the literature and told us how we got there, you went over the high-level explanation then got into the nitty-gritty detail and then just in case we miss something you gave an amazing recap. This is how all videos on deep learning should be. Especially as we're getting into more Niche topics.
@nikitadeshpande6643
@nikitadeshpande6643 Жыл бұрын
You are the Outlier we cannot miss! Real gem. Thanks for the explanation man!
@akshayshrivastava97
@akshayshrivastava97 Жыл бұрын
Very well explained! You made sure to include a lot of important points others either omit or simply skim over. Thank you very much.
@ravindrabisram137
@ravindrabisram137 Жыл бұрын
This is the first source I was able to find that explained the math behind diffusion models in a comprehensible way instead of glossing over it. Thanks a lot, you have earned my like and subscribe with just this video alone!
@anujshah7949
@anujshah7949 Жыл бұрын
Absolute king! Your work is such an important part of this community
@user-fj9bh7kt7t
@user-fj9bh7kt7t Жыл бұрын
you're a GOAT for this man, bringing together intuition and math notation is drastically underrepresented in general, thanks so much for this video
@JasimUsmani
@JasimUsmani Жыл бұрын
Thank you for making such a high quality video explaining the math. Often, other channels do not emphasize on the math and this video is perfectly putting light on how exactly the math fits in diffusion models. Thank you for your amazing work. Please, make more such content!
@SteveSperandeo
@SteveSperandeo Жыл бұрын
Excellent presentation. Great balance between depth and succinctness. Thank you!
@user-os4tw9hl5w
@user-os4tw9hl5w Жыл бұрын
Easily the best video on Diffusion models. Great work!
@StephenRayner
@StephenRayner Жыл бұрын
Wow……. Haven’t read math in a while, this was explained excellently. I have a masters degree in physics but don’t do much math anymore since my degree in 2017. I really like how much detail you went into with the derivations and the pausing to ground what we are doing with some intuition. Well done man 🎉
@kartikeyabhardwaj3919
@kartikeyabhardwaj3919 Жыл бұрын
this is by far the best video on diffusion models that explains the math clearly, great job!
@TheKkunte
@TheKkunte Жыл бұрын
This is the best explanation I have found so far. Thank you.
@elisawarner7942
@elisawarner7942 Жыл бұрын
Thank you so much for making this video! It was very clear and I really appreciate how you walked through the math and the reasoning for how they went from the initial loss to writing it in terms of predicting the noise. Everything was well made. I look forward to watching your other videos!
@codingblaze4611
@codingblaze4611 Жыл бұрын
Nicely explained. Most of the people leave these derivatives thinking it would make the tutorial boring but without these derivativation we don't understand how was the methodology evolved. Great job reasearching and explaining.
@kumaranragunathan7602
@kumaranragunathan7602 Жыл бұрын
Explaining the mathematical reasoning and formulas behind the model in such detailed fashion is amazing , keep up your good work
@xiaohaolin6464
@xiaohaolin6464 Жыл бұрын
Excellent video! Very clear derivation, and good animation. You are a good teacher with loads of patience, and guided us step by step!
@kateyurkova6384
@kateyurkova6384 9 ай бұрын
Brilliant approach of lining up equations into a story, great work, thanks!
@Steveineiter
@Steveineiter Жыл бұрын
One of the best explanations here on KZfaq - thank you very much! 🥳
@chiscoduran9517
@chiscoduran9517 2 жыл бұрын
Just the video that I needed, thanks so much!!!
@FLLCI
@FLLCI Жыл бұрын
Absolutely brilliant coverage! Keep up the good work. You are helping a lot of people.
@NinadDaithankar5
@NinadDaithankar5 17 күн бұрын
Amazing video; thanks a lot for going in depth on the math with simplified animations!
@JBoy340a
@JBoy340a Жыл бұрын
Wow! Amazing job explaining diffusion models and why they use the math they do.
@Magnify.
@Magnify. Жыл бұрын
Great video, thank you for this!
@icejust9195
@icejust9195 10 ай бұрын
I really like your math part! Please keep going amazing work!
@InturnetHaetMachine
@InturnetHaetMachine Жыл бұрын
Thank you so much for delving deep into the math. I'm an engineer (not software) and self-learning AI. The papers are unfortunately not written in the most explainable way, and even though I've taken high level math courses for my degree, the notation and terminology in the papers make it pretty inaccessible and frustrating to follow. Thanks for going through this paper, I hope you continue to make more videos.
@frapbrab664
@frapbrab664 Жыл бұрын
You're the GOAT man, very great summary of diffusion
@yahuiz7877
@yahuiz7877 Жыл бұрын
awesome explanations!! look forward to more brilliant tutorial/explanation vids!!
@checkout8352
@checkout8352 Жыл бұрын
Superb work. 1. Gone through the history of diffusion of models by explaining all the previous papers. 2. Giving an intuition of whole idea. 3. Explaining math behind it. 4. Also incorporating future prospects
@PythonProdigy9
@PythonProdigy9 8 ай бұрын
I just watched your video on diffusion models, and I am incredibly impressed with the depth of information you provided. Your explanation was clear, concise, and immensely helpful. Thank you for sharing your knowledge on this topic. I learned a lot from your video and I truly appreciate your efforts in creating such valuable content.
@srinathkumar1452
@srinathkumar1452 Жыл бұрын
Wow this is such a fantastic explanation. I love how you describe the intuitions behind the authors' mathematical choices.
@markpayton3895
@markpayton3895 Жыл бұрын
Best video on diffusion model right now because of the math derivation of everything. Thank you!
@andyfeng6
@andyfeng6 2 жыл бұрын
Thank u for the detailed explaination, looking forward for your pytorch implementation video!
@TheSeamau5
@TheSeamau5 2 жыл бұрын
Thank you so much. I actually just recently worked out a lot of this math a couple weeks ago for a model I'm building and this video would've saved me so much time. Very clear. Thank you 🙏
@NellyParsley
@NellyParsley Жыл бұрын
Man, this is incredible. When I saw these equations in the paper and other sources I was like "no way I am gonna understand that".. but with this video it all makes sense. Brilliantly done, thank you so much for your work. Instant subscribe and I am going to check other content on your channel :D
@PakkaponPhongtawee
@PakkaponPhongtawee Жыл бұрын
Amazing! The visualization is great and easy to follow.
@yuhonglin8898
@yuhonglin8898 Жыл бұрын
Thanks for the fantastic introduction!! Well made video!
@timforcade1029
@timforcade1029 Жыл бұрын
Many thanks for this. I'm an artist with very limited math skills and though I can't say I understood the whole, your teaching gave me a solid basis and an understanding of this I've been wanting. You have another fan.
@javiersolisgarcia
@javiersolisgarcia 7 ай бұрын
I started reading articles and looking for learning content on diffusion modelling and the notation seemed a bit difficult. However, I am only half way through this video and I can assure you that this video is a must watch. Very clear explanation, I will recommend it to anyone interested in exploring this field, congratulations on your work!
@azmerawyotorawi684
@azmerawyotorawi684 7 ай бұрын
I'm grateful to you for all your help
@joyshen9015
@joyshen9015 Жыл бұрын
Really a life savior, thank you so much!!
@MK-yj7pn
@MK-yj7pn Жыл бұрын
Fantastic video, man. Explained the stuff really really well. Thanks.
@dvirhanum9530
@dvirhanum9530 Жыл бұрын
When the math part started I went to continue watching at the toilet
@riazzai9250
@riazzai9250 9 ай бұрын
The explaination about loss function, especially the part of KL divergence, is amazing! I love your video!
@brianpulfer4159
@brianpulfer4159 2 жыл бұрын
This is the first ever video of you that I get to see. Congrats, truly amazing. I believe you are among the first people on YT to dig into the math equations of ML papers like this, and I believe it's truly valuable. Keep it up!
@cutethanks
@cutethanks 4 ай бұрын
The most clear explanation I’ve seen on YT. Much more clear than that from MIT lectures lol Many thanks
@Shashank-vv4ex
@Shashank-vv4ex 11 ай бұрын
Tons of thanks for this amazing explanation!!
@bayesianmonk
@bayesianmonk Жыл бұрын
You have a superpower of explaining math. Really enjoyed it.
@sergiomanuel2206
@sergiomanuel2206 Жыл бұрын
The video is perfect! Thank you so much. You helped me to understand better all the formulation! Thanks again!!
@HearinCantMeow
@HearinCantMeow 2 ай бұрын
what a wonderful and thoughtful way to deliver the whole langscape of the diffusion model! Nice video! 👍
@inakitodc6816
@inakitodc6816 8 ай бұрын
just the best expanation by far I have seen in days of searching. congrats
@jefersongallo8033
@jefersongallo8033 Ай бұрын
This is a really great video, thanks for your big effort explaining!
@itsnotthattough7588
@itsnotthattough7588 9 ай бұрын
Thanks for the simple but detailed explanation! I wouldn't be able to understand the topic without your video.
@sanjaybhandari2487
@sanjaybhandari2487 2 жыл бұрын
Hopping for more great contents .
@mousamustafa1042
@mousamustafa1042 Ай бұрын
U really liked that you showed the derivation in an understandable way
@user-ri9lg7dh7c
@user-ri9lg7dh7c Жыл бұрын
Awesome! Right what I was looking for. Thank you for the explanation !)
@statixvfx1793
@statixvfx1793 2 жыл бұрын
Great explanation, thank you for sharing your knowledge! Subscribed!
@williamdevena8565
@williamdevena8565 Жыл бұрын
Great Video! Hands down the best explanation of DDPM’s math
@RezaSoumi
@RezaSoumi 10 ай бұрын
Thank you. Your explanation has been profoundly enlightening and exceptionally lucid, providing me with a comprehensive understanding.
@homataha5626
@homataha5626 Жыл бұрын
that was really enjoyable!! Thank you very much!
@Wondaful-mr2dl
@Wondaful-mr2dl Жыл бұрын
Truly awesome! Looking forward to the upcoming Pytorch implementation video!
@oriyonay8825
@oriyonay8825 Жыл бұрын
this video is *by far* the best video on diffusion models i've seen on youtube. this was very pleasant to watch and you made everything really clear. brilliant!! i subscribed and turned on notifications :) have an amazing day :)
@wdabrilvi
@wdabrilvi Жыл бұрын
I was just using those tools to generate images but due to this video i got a lot more interested in understanding how they work. I hope you keep doing this kind of videos.
@chemaguerra1635
@chemaguerra1635 Жыл бұрын
This breakdown is godsend!
@vikimazo
@vikimazo 5 ай бұрын
Thanks! A great explanation!
@ziyuwan4513
@ziyuwan4513 Жыл бұрын
Thanks for the great explanation!!! This video is amazing!
@yyq90
@yyq90 2 жыл бұрын
So satisfied to know that we just need to predict the noise!!! After so many formulars...🙏🙏🙏
@ruoyufeng6727
@ruoyufeng6727 Жыл бұрын
Fantastic video, looking for your next video !
@autkarsh8830
@autkarsh8830 3 ай бұрын
Thanks, the video was really helpful, it gave me such a great time in understanding diffusion models, kudos and keep on making such quality content!
@Jianju69
@Jianju69 Жыл бұрын
Viele danke for explaining all of this so clearly.
@sedi_rockstar7481
@sedi_rockstar7481 Жыл бұрын
Just want to say thank you. I believe this is one of the most high-quality videos I have ever seen given on diffusion models! Keep it going. I have subscribed!
@outliier
@outliier Жыл бұрын
thank you so much!
@WWG1-WGA
@WWG1-WGA 9 ай бұрын
Men! you did awesome !. Subscribed and I'll keep learning
@assafsinger6110
@assafsinger6110 6 ай бұрын
absolutely incredible video
@ernestosantiesteban6333
@ernestosantiesteban6333 Жыл бұрын
WOW! Where have you been all my life?!
@fahim78611
@fahim78611 Жыл бұрын
Greatly explained the papers and it's depend topics 👏👏👏
@ashok_learn
@ashok_learn Жыл бұрын
I salute your hardwork on this video. Thank you from the bottom of my heart. 😃
@fizzarubab8959
@fizzarubab8959 10 ай бұрын
Thank you for the wonderful explanation!
@shakibyazdani9276
@shakibyazdani9276 Жыл бұрын
Well explained, Thanks for the great explanation man!
@stevemurch3245
@stevemurch3245 Жыл бұрын
Very well done. Animations are super helpful and the math explanation is clear.
@ichdu1933
@ichdu1933 8 ай бұрын
Good Video. Thank you for your work!
@rma1563
@rma1563 21 күн бұрын
Appreciate the effort you put into this. You definitely can teach. If only I have a brain to understand math... still got some bits here and there. Thanks
@CarloRobiati
@CarloRobiati Жыл бұрын
awesome content, thanks for sharing!
@IndrainKorea
@IndrainKorea Жыл бұрын
Thank you for the explanation, it's really well made, I can see you put a lot of efforts in it, well done! 👏👍
@brunokemmer
@brunokemmer Жыл бұрын
Awesome video! great work!
@QuOUseTERSEa
@QuOUseTERSEa Жыл бұрын
This helps me a lot! You are really a good presenter.
@ParhamEftekhar
@ParhamEftekhar 14 күн бұрын
Great explanation. Thanks.
@user-gq6hm8kn6t
@user-gq6hm8kn6t 7 ай бұрын
Wonderful video! This really helps me to better understand the threom behind ddpm, many thanks
@user-mt4li6jt9m
@user-mt4li6jt9m Жыл бұрын
this video is really get to the point and with good information and math
@deadbeat_genius_daydreamer
@deadbeat_genius_daydreamer 10 ай бұрын
Excellent video mate, keep up the good work ✌️✌️
@arpitpatel5814
@arpitpatel5814 4 ай бұрын
Thank you for your efforts. 🙏🏻
@simonetruglia
@simonetruglia Жыл бұрын
Keep going mate, this one is an amazing video about the subject
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