Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/ Corrections: 13:05 When the residual is negative, the pink circle should be on the left side of the y-axis. And when the residual is positive, the pink circle should be on the right side.
@adolfocarrillo248
2 жыл бұрын
This is an amazing explanation!!! Thanks
@statquest
2 жыл бұрын
@@adolfocarrillo248 Thank you very much! :)
@anushreesaran
2 жыл бұрын
Got my copy of The StatQuest Illustrated Guide to Machine Learning today! Quadruple BAM!!!!
@statquest
2 жыл бұрын
@@anushreesaran Hooray! Thank you very much! :)
@tremaineification
11 ай бұрын
@@statquestwhat do mean by the last term not containing the intercept?
@moetasimrady8876
Жыл бұрын
I have started my machine learning journey a month ago and I stumbled onto a myriad of resources that explain linear models using the RSS function but no one, and I mean no one, managed to explain it with as much clarity and elegance as you have in just under 20 minutes. You sir are a boon to the world.
@statquest
Жыл бұрын
Thank you!
@pperez1224
3 жыл бұрын
Amazing pedagogy. Slow pace , short setences , visuals consistent with the talk. great job ;-) Thanks
@statquest
3 жыл бұрын
Glad you liked it!
@revolution77N
4 жыл бұрын
Man you are amazing. You should get a Nobel prize!
@statquest
4 жыл бұрын
Thank you! :)
@marcus2441
3 жыл бұрын
Agree!
@mammamiachemale
2 жыл бұрын
more than a nobel! book bought
@egyptianplanner
Жыл бұрын
Yes Yes Yes
@afmartins666
Жыл бұрын
Or a Grammy!
@diyanair158
2 жыл бұрын
Did I just UNDERSTAND the CHAIN RULE ? SURREAL, thank you!
@statquest
2 жыл бұрын
:)
@ayushbatra2471
Жыл бұрын
Over the past three years, I have been studying neural networks and delving into the world of coding. However, despite my best efforts, I struggled to grasp the true essence of this complex subject. That is until I stumbled upon your enlightening video. I cannot emphasize enough how much your video has helped me. It has shed light on the intricate aspects of neural networks, allowing me to comprehend the subject matter with greater clarity and depth. The way you presented the material was truly remarkable, and it made a profound impact on my understanding. What astounds me even more is that you provide such valuable content for free. It is a testament to your passion for educating and empowering individuals like myself. Your dedication to spreading knowledge and fostering learning is truly commendable. Thanks to your channel, I have been able to unlock the true essence of mathematics and its relationship with neural networks. The confidence and clarity I now have in this subject are invaluable to my personal and professional growth. Your video has been a game-changer for me, and I am grateful beyond words. Please continue your fantastic work and know that your efforts are deeply appreciated.
@statquest
Жыл бұрын
Thank you very much! BAM! :)
@dc_amp8843
Жыл бұрын
The way you link equations to visuals and show how everything is working along with the math at the SAME time. Beautiful, elegant, easy to follow.
@statquest
Жыл бұрын
Wow, thank you!
@Ruostesieni
Жыл бұрын
As someone who is doing medical research and needs to learn little-by-little about statistics, neural networks and machine learning as my project goes on, your channel is a literal life-saver! It has been so hard to try to keep my M.D. stuff together with my PhD research all the while learning statistics, programming and neural network structures and machine learning. Trying to arrange courses from my uni to fit in with all the other stuff is simply impossible, so I've been left to my own devices and find a way to gain knowledge about said subjects and your channel has done just that. Your teaching is great and down-to-earth enough to be easily grasped, but you also delve deep into the subject after the initial baby steps, so the person watching isn't just left with "nice to know"-infobits. Love it! Keep up the great work!
@statquest
Жыл бұрын
Thank you!
@TheGreatFilterPodcast
3 жыл бұрын
BY FAR the best explanation of the chain rule I have ever seen (and trust me - I've seen A LOT) You, sir, just earned yourself yet another well-deserved subscriber. F'n brilliant!!!
@statquest
3 жыл бұрын
Thank you very much!!! BAM! :)
@ivanferreira5042
4 жыл бұрын
Nobody: The demon in my room at 3am: 7:56
@statquest
4 жыл бұрын
Dang! :)
@borisdjakovic
4 жыл бұрын
jesus, this was funny xD
@varunparuchuri9544
3 жыл бұрын
dear @stat quest you must have come from heaven to save students from suffering's just unbeliable explanation
@statquest
3 жыл бұрын
Thank you! :)
@vnaveenkumar982
3 жыл бұрын
Take my words Josh you are the best teacher on the internet who teaches Statistics........ and the chain rule made me crazy.......... by your explanation.
@statquest
3 жыл бұрын
Wow, thanks!
@vnaveenkumar982
3 жыл бұрын
@@statquest ❤️
@Alchemist10241
3 жыл бұрын
Awesome!! None of my math teachers in high school or collage never explained to me WHY chain rule works this way. but you explained it with a very simple example. I'm certain that from now on I'll never forget the chain rule formula. Thanks a million. 👌✔
@statquest
3 жыл бұрын
BAM! :)
@amanrastogi603
6 ай бұрын
I am Biostatistician, proclaiming that you are really a good teacher.
@statquest
5 ай бұрын
Thank you very much!
@putririzqiyah6294
3 жыл бұрын
this channel was suggested by my professor, and i always watch the videos while doing a machine learning tasks. Big appreciate to you :D
@statquest
3 жыл бұрын
Cool, thanks!
@jbboyne
Жыл бұрын
Your videos are fantastic, even without the sound effects... but the sound effects really bring them over the top.
@statquest
Жыл бұрын
Thank you! And thank yo so much for supporting StatQuest!!! BAM! :)
@RealSlimShady7
4 жыл бұрын
Guess I will not be afraid of the ***THE CHAAAAAINNNN RULE*** Thank you, Josh! Always Waiting for your videos!
@statquest
4 жыл бұрын
Bam! :)
@Maskedlapis64
2 ай бұрын
I’ve watched videos like this for work, yours is the best, I fully grasp what a derivative is!
@statquest
2 ай бұрын
Glad you liked it!
@user-ul2mw6fu2e
2 жыл бұрын
Best chain rule explanation i have ever seen.
@statquest
2 жыл бұрын
Thank you!
@alexg7082
15 күн бұрын
As always, clear and in simple language. Thank you !
@statquest
15 күн бұрын
Glad it was helpful!
@markbordelon1601
4 ай бұрын
We could have had a "dreaded terminology alert" : "decomposition of functions". But even without it: this was a perfect explanation of the chain rule , with great practical examples. Bravo, Josh!
@statquest
4 ай бұрын
Thank you!
@rigobertomartell5029
2 жыл бұрын
Josh you are a master in teaching, you make difficult topics so easy to understand which is really amazing. My mother language is not English but you explain so well and clear that I can understand everything. Congratulations Sir, please keep doing this job.
@statquest
2 жыл бұрын
Thank you very much! :)
@mr.shroom4280
Жыл бұрын
Bro your the only tutorial that actually helped me grasp this concept, thank you so much.
@statquest
Жыл бұрын
Glad it helped!
@mr.shroom4280
Жыл бұрын
@@statquestI know this isn't related to this video, i just want you to help me because you replied to this comment. With gradeint descent, how am i supposed to get the derivative for each weight and bias in a loss function dynamically? because surely for networks with more than 100 neurons there would be a way, i know there is i just don't know. When i am calculating the derivative for one varaible in the loss function, to optimize it, i get some overly complicated function, but i see some papers on it and it isn't complicated.
@statquest
Жыл бұрын
@@mr.shroom4280 See: kzitem.info/news/bejne/qoRovqF4oXt9p2k kzitem.info/news/bejne/yq-kmK6aen6anG0 and kzitem.info/news/bejne/qIGQ1YN-kXmUf6Q
@mr.shroom4280
Жыл бұрын
@@statquest thankyou so much, i watched those but i totally forgot about the chain rule lol
@RumayzaNorova
14 күн бұрын
After this awesome statquest, I will hear 'The Chain Rule' with the echo playing in my head
@statquest
13 күн бұрын
bam! :)
@taiman9423
3 жыл бұрын
Top notch visualization.
@statquest
3 жыл бұрын
Thank you! :)
@dhakalsandeep3452
Жыл бұрын
One of the best video i have ever watched. Thank yoy guys for providing such a wonderful content for free.
@statquest
Жыл бұрын
Thanks!
@harisjoseph117
2 жыл бұрын
Dear Josh Starmer, Thank you so much. May God bless with you more knowledge so that you can energize learners like me. ❤. Thank you again.
@statquest
2 жыл бұрын
Thank you very much!
@meow-mi333
7 ай бұрын
This dude explains things clearly. Huge thanks!
@statquest
7 ай бұрын
Thanks!
@Vanadium404
Жыл бұрын
Such a beautiful intuition that weight height then height shoe size example was just commendable
@statquest
Жыл бұрын
Thanks!
@nick_g
Жыл бұрын
I love StatQuest! I got my SQ mug in the morning and just got the Illustrated Guide to Machine Learning. Super excited to start! Thank you for all the great content!
@statquest
Жыл бұрын
That is awesome! TRIPLE BAM!!!! :)
@darshuetube
2 жыл бұрын
you have great videos that help explain a lot of concepts very clearly, step by step. You have help a lot of students for sure.
@statquest
2 жыл бұрын
Thank you very much! :)
@saifqawasmeh9664
9 ай бұрын
Reading abour Loss in Neural Network and optimization from 20+ sources and could not understand it until watching this video. Big BAM!
@statquest
9 ай бұрын
Hooray! Thank you!
@suneel8480
3 жыл бұрын
You had made my machine learning path easy!
@statquest
3 жыл бұрын
Glad to hear that!
@behrampatel3563
5 ай бұрын
This one outdoes all the best videos on the topic .
@statquest
5 ай бұрын
Thank you!
@prydt
11 ай бұрын
These seriously are some of my favorite videos on youtube!
@statquest
11 ай бұрын
Thanks!
@ShermanSitter
4 жыл бұрын
I would insert a BAM at 5:25. :) ...also, I realized the thing I like about your videos is you explain things, not only in a clear way, but in a different way. It adds to the depth of our understanding. Thank you!
@statquest
4 жыл бұрын
That is definitely a BAM moment! And thank you. One of my goals is to always explain things in a different way, so I'm glad you noticed! :)
@joeyshias
Жыл бұрын
i'm so moved to finally understand this, thank you!
@statquest
Жыл бұрын
bam! :)
@jhfoleiss
4 жыл бұрын
Awesome Explanation Mr. Starmer! I wish your videos existed back when I was taking Calculus in the university!!! ( which was a long time ago =) )
@statquest
4 жыл бұрын
Wow, thanks!
@syedmustahsan4888
2 ай бұрын
Another concept well explained ❤
@statquest
2 ай бұрын
Thanks a lot 😊!
@39_ganesh_ghodke98
25 күн бұрын
Your are an amazing teacher !
@statquest
24 күн бұрын
Thank you! 😃
@chelsie292
4 жыл бұрын
this is epic, simple, and applicable chain rule in real life too - we need more videos like this damn
@statquest
4 жыл бұрын
Thank you! :)
@MrXiiaoSky
3 жыл бұрын
thanks for clearing up the confusions i had with chain rule!
@statquest
3 жыл бұрын
bam!
@amirhossientakeh5540
2 жыл бұрын
you deserve Nobel prize Nobel man
@statquest
2 жыл бұрын
Thank you!
@amerjabar7825
2 жыл бұрын
The best video in the internet about the Chain Rule!
@statquest
2 жыл бұрын
Thank you!
@salah6160
10 ай бұрын
Teaching is an art. thank you StatQuest
@statquest
10 ай бұрын
Thank you!
@edphi
3 жыл бұрын
Genius serious sincere I’m a mathematician and am convinced you are a born sage
@statquest
3 жыл бұрын
Thanks!
@dkutagulla
Жыл бұрын
Simply the best explanation of chain rule! Now I understand CR better to teach my kid when she needs it... Thank you!!! Do you publish a book on calculus I would love to buy it!
@statquest
Жыл бұрын
Thanks! I don't have a book on calculus, but I have on on machine learning: statquest.org/statquest-store/
@tagoreji2143
2 жыл бұрын
Thank you Sir for the amazing Tutorial.
@statquest
2 жыл бұрын
Thanks!
@gojo8627
Жыл бұрын
BAM! best explanation so far
@statquest
Жыл бұрын
Thank you! :)
@irischin6165
2 жыл бұрын
I graduated with stats degrees from college 10+ years ago and never touched it. Now I feel I re-learned everything overnight!!!!!
@statquest
2 жыл бұрын
BAM! :)
@robelbelay4065
4 жыл бұрын
An epically clear explanation. Thank you so much!
@statquest
4 жыл бұрын
Thank you! :)
@studgaming6160
Жыл бұрын
Thanks for informative video.
@statquest
Жыл бұрын
Thanks!
@mattaaron79
Жыл бұрын
I'm getting strong MST3K and Star Control II vibes from this guy and that's pretty cool
@statquest
Жыл бұрын
bam!
@sheilawang3847
4 жыл бұрын
such a clean and simple explanation! can't wait for more Math and Statistic videos. You are the awesomeness in KZitem!
@statquest
4 жыл бұрын
Thank you! :)
@georgetzimas6882
3 жыл бұрын
13:15 Is the residual(squared) graph mirrored? Since residual=(observed - predicted), wouldn't that mean that when on the original graph the intercept is zero, the residual would be positive(2-1=1), so the position on the residual(squared) graph should be on the positive x-axis(x=1), as opposed to the negative side on the video, and vice versa?
@statquest
3 жыл бұрын
Yes! You are correct. Oops!
@janscheuring2642
Жыл бұрын
Hi, I think I found a mistake. (?) The pink ball in the graph from 13:08 should be on the other side of the Y axis. It doesn't change the educational value of the whole video but it caught my eye.
@janscheuring2642
Жыл бұрын
Oh, I see someone already brought this up.
@statquest
Жыл бұрын
yep
@syedmustahsan4888
2 ай бұрын
Thanks a lot Sir Josh. Jzakallah. 😊Emotional
@statquest
2 ай бұрын
Thank you very much! :)
@elielberra2867
2 жыл бұрын
Amazing video thanks!
@statquest
2 жыл бұрын
Thanks!
@krishj8011
2 ай бұрын
Awesome Tutorial...
@statquest
2 ай бұрын
Thank you 🙂!
@gabrielcournelle3055
4 жыл бұрын
Now I can't read "the chain rule" without hearing your voice !
@statquest
4 жыл бұрын
:)
@aswink112
3 жыл бұрын
Great teaching Josh Starmer!
@statquest
3 жыл бұрын
Thank you kindly!
@KUMAWANI
2 жыл бұрын
I would like to thank you from bottom of my heart for such wonderful videos. Such difficult topic made simple, you are awesome man , keep rocking!!!!
@KUMAWANI
2 жыл бұрын
And Triple BAM!!!!
@statquest
2 жыл бұрын
Thank you very much! :)
@dhruvsharma7992
2 жыл бұрын
This video is not just the explanation of "The Chain Rule" instead explained the intuition behind the various loss functions.
@statquest
2 жыл бұрын
That's right. The chain rule is used a lot in machine learning so I tried to explain it from that perspective.
@dhruvsharma7992
2 жыл бұрын
@@statquest Thanks for all of the videos, they all really help alot
@statquest
2 жыл бұрын
@@dhruvsharma7992 Thanks!
@alinadi9427
6 ай бұрын
your videos are fantastic
@statquest
6 ай бұрын
Glad you like them!
@Infinitesap
2 жыл бұрын
I think you must be an alien! This is the best, most simplistic and complete explanation I have seen -ever. Fantastic job you did ❤️ thanks
@statquest
2 жыл бұрын
Thank you!
@Vinyl-vv3pz
Жыл бұрын
Best reference for learning statistics. Btw, would just like to point out that in 6:16, there appears to be a minor mistake. Actually for every 1 unit increase in Weight, there is a 2 unit increase in Shoe Size, because the equation would be Size = (1/2)*Weight, or 2*Size = 1*Weight
@statquest
Жыл бұрын
This video is actually correct. For every one unit increase in weight, there is only a 1/2 unit increase in Shoe Size. What your equation shows is that for every unit increase in Size, there is a 2 unit increase Weight. That's not the same thing as "for every unit increase in Weight, there is a 2 unit increase in Size".
@Vinyl-vv3pz
Жыл бұрын
@@statquest I calculated through the equation, and you are correct. Thanks for the verification!
@bozok1903
9 ай бұрын
Bam! You are awesome. Thanks a lot.
@statquest
9 ай бұрын
bam! :)
@siddean5048
Жыл бұрын
Beautiful Just Beautiful
@statquest
Жыл бұрын
Thank you! 😊
@_coderizon
5 ай бұрын
Thank you!!!
@statquest
5 ай бұрын
bam! :)
@supernenechi
Жыл бұрын
Despite how good you are at explaining, I'm still having a hard time with it all. My confidence isn't exactly helped by the fact that all the other people in the comments seem to somehow be doing PhDs and stuff, but okay... How can I try to understand it even better?
@statquest
Жыл бұрын
Can you tell me what time point, minutes and seconds, you first got confused?
@pooravkadiyan
2 жыл бұрын
Your explanation is awesome. Make more videos.
@statquest
2 жыл бұрын
Thank you!
@hassanalimohammadi4553
2 жыл бұрын
hanks for all your amazing videos. I'm still learning from you :)
@statquest
2 жыл бұрын
Thank you!
@luis96xd
2 жыл бұрын
Amazing video! Back to basics 😄👍
@statquest
2 жыл бұрын
Thanks!
@nishantgoel3065
2 жыл бұрын
awsome work man!!!! you have created the best content...... I wish that you should be teaching us at our college🥺
@statquest
2 жыл бұрын
Thank you so much 😀
@user-or7ji5hv8y
4 жыл бұрын
A video also on probability chain rule would be awesome
@statquest
4 жыл бұрын
Noted! :)
@Metryk
Жыл бұрын
13:27 When the residual is negative, the pink circle is shown to be on the right side of the y-Axis, but shouldn't it be on the left side? Aside from that, great content! Cheers from Germany
@statquest
Жыл бұрын
Yep. Thanks for catching that! I've added a correction to the pinned comment.
@jialushen6248
4 жыл бұрын
Oh boy that's a teaser for neural net. Been looking forward to this!!
@statquest
4 жыл бұрын
YES!!! This is the first video in my series on Neural Nets!!!!!!! The next one should be out soon (hopefully late July, but I always run behind so maybe early August).
@ge13r
4 ай бұрын
Saludos desde la UNET
@statquest
4 ай бұрын
:)
@lin1450
3 жыл бұрын
Thank you so much for your videos! I got a StatQuest Shirt for my Birthday... hurray! :)
@statquest
3 жыл бұрын
BAM! :)
@wissenistmacht6685
Жыл бұрын
I just realized I was using the chain rule since years without understanding how it works...
@statquest
Жыл бұрын
bam!
@tanubist7721
4 жыл бұрын
This be the first time I am laughing learning stats🤣 Thanks alot!
@statquest
4 жыл бұрын
Hooray! :)
@motherisape
2 жыл бұрын
Awesomeness = like statquest squared 😆 🤣
@statquest
2 жыл бұрын
Thank you!
@akistsili8574
2 жыл бұрын
Really....you are amazing!
@statquest
2 жыл бұрын
Thank you so much 😀
@faezeabdolinejad731
3 жыл бұрын
Thank you ❤❤❤❤
@statquest
3 жыл бұрын
Any time!
@ukkyukang
4 ай бұрын
Thanks!
@statquest
4 ай бұрын
bam! :)
@bob_bobsen
2 жыл бұрын
The graph at the start made me crack up. Deadpan humour >>>>>
@statquest
2 жыл бұрын
:)
@ThePCxbox
Жыл бұрын
Another explanation I saw on reddit that solidifies my understanding of the chain rule: "Mommy is a function with a baby function inside. This is how we find out where her bumps are: Differentiate the mommy- keep the baby inside Differentiate the baby Times them together And you're done :-) Example: (3x2 + x)4 The mommy is ( )4 , the baby is 3x2 + x Differentiate the mummy: 4( )3 Keep the baby inside: 4(3x2 + x)3 Differentiate the baby: 6x+1 Times them together: (6x+1)*4(3x2 + x))3 = (24x+4)(3x2 + x)3 And we're done" For your last example: why is observed and (1*weight) = 0 though? the chain rule makes sense now but Im trying to grasp that math. You say its because the terms do not contain the intercept but what does that mean?
@statquest
Жыл бұрын
When we take the derivative of something, we take the derivative relative to something. In this case, we take the derivative relative to the intercept. Thus, we are interested in how much things change when the intercept changes. (1 * weight) does not change when the intercept value changes - it stays the exact same, regardless of what value we plug in for the intercept. Since there is 0 change in (1 * weight) when we change the intercept, then the derivative of (1 * weight) with respect to the intercept = 0.
@KayYesYouTuber
2 жыл бұрын
Simply beautiful. you are the best.
@statquest
2 жыл бұрын
Wow, thank you!
@liamhoward2208
Жыл бұрын
So you can think of the derivative here as the velocity of awesomeness w.r.t. likes stat-quest. Neat. So its can be thought of something like 21 A.S.Q. or, 21 awesomenesses per stat-quest
@statquest
Жыл бұрын
That's awesome! :)
@pomiro
Жыл бұрын
Thanks!
@statquest
Жыл бұрын
DOUBLE BAM! :)
@orrlevinger
3 жыл бұрын
LOVE YOUR CONTENT BEST FUN LEARNING EVER!!! (The chain rule is COOL)
@statquest
3 жыл бұрын
bam!
@vaishnavi4354
4 жыл бұрын
Awesome Statquest... Initially played Song and concept too!!😎😎😎
@statquest
4 жыл бұрын
Thanks! :)
@aleksandrpakhomov4154
10 ай бұрын
Спасибо, вы молодец!
@statquest
10 ай бұрын
bam! :)
@ritwikamajumdar5967
3 жыл бұрын
Thanks
@statquest
3 жыл бұрын
bam!
@Animatinior
2 жыл бұрын
One Chain to rule them all
@statquest
2 жыл бұрын
Bam!
@wrjazziel
3 жыл бұрын
LMAO, the song at the beginning xD, just for that I'm giving it a like.
@statquest
3 жыл бұрын
BAM! :)
@OptimizationDirect
2 жыл бұрын
excellent
@statquest
2 жыл бұрын
Thanks!
@valor36az
4 жыл бұрын
Awesome. You made my day!
@statquest
4 жыл бұрын
Hooray! :)
@Dy-yg9wq
3 жыл бұрын
Please add more adds so we can watch them and actually give back to you
@statquest
3 жыл бұрын
Ha! I wish I could remove all the ads. But even then, KZitem will add them.
@MahfuzurRahman-xl9pj
2 жыл бұрын
Baaaaaaaaaaam... I had memorized the formula for chain rule in school, but never really thought about it in this angle... Bam 3000...
Пікірлер: 486