Tutorial 7- Vanishing Gradient Problem

Vanishing Gradient Problem occurs when we try to train a Neural Network model using Gradient based optimization techniques. Vanishing Gradient Problem was actually a major problem 10 years back to train a Deep neural Network Model due to the long training process and the degraded accuracy of the Model.
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[@kumarpiyush2169]

HI Krish.. dL/dW'11= should be [dL/dO21. dO21/dO11. dO11/dW'11] +
[dL/dO21. dO21/dO12. dO12/dW'11] as per the last chain rule illustration. Please confirm

[@rahuldey6369]

...but O12 is independent of W11,in that case won't the 2nd term be zero?

[@RETHICKPAVANSE]

wrong bruh

[@ayushprakash3890]

we don't
have the second term

[@Ajamitjain]

Can anyone clarify this? I too have this question.

[@grahamfernando8775]

@@Ajamitjain dL/dW'11= should be [dL/dO21. dO21/dO11. dO11/dW'11]

[@mahabir05]

I like how you explain and end your class "never give up " It very encouraging

[@manishsharma2211]

Yes

[@Xnaarkhoo]

many years ago in the college I was enjoy watching videos from IIT - before the mooc area, India had and still have many good teachers ! It brings me joy to see that again. Seems Indians have a gene of pedagogy

[@Vinay1272]

I have been taking a well-known world-class course on AI and ML since the past 2 years and none of the lecturers have made me so interested in any topic as much as you have in this video. This is probably the first time I have sat through a 15-minute lecture without distracting myself. What I realise now is that I didn't lack motivation or interest, nor that I was lazy - I just did not have lecturers whose teaching inspired me enough to take interest in the topics, yours did.
You have explained the vanishing gradient problem so very well and clear. It shows how strong your concepts are and how knowledgeable you are.
Thank you for putting out your content here and sharing your knowledge with us. I am so glad I found your channel. Subscribed forever.

[@PeyiOyelo]

Sir or As my Indian Friends say, "Sar", you are a very good teacher and thank you for explaining this topic. It makes a lot of sense. I can also see that you're very passionate however, the passion kind of makes you speed up the explanation a bit making it a bit hard to understand sometimes. I am also very guilty of this when I try to explain things that I love. Regardless, thank you very much for this and the playlist. I'm subscribed ✅

[@amc8437]

Consider reducing playback speed.

[@tosint]

I hardly comment on videos, but this is a gem. One of the best videos explaining vanishing gradients problems.

[@ltoco4415]

Thank you sir for making this misleading concept crystal clear. Your knowledge is GOD level 🙌

[@aidenaslam5639]

Great stuff! Finally understand this. Also loved it when you dropped the board eraser

[@benvelloor]

Very well explained. I can't thank you enough for clearing all my doubts!

[@lekjov6170]

I just want to add this mathematically, the derivative of the sigmoid function can be defined as:
*derSigmoid = x * (1-x)*
As Krish Naik well said, we have our maximum when *x=0.5*, giving us back:
*derSigmoid = 0.5 * (1-0.5) --------> derSigmoid = 0.25*
That's the reason the derivative of the sigmoid function can't be higher than 0.25

[@ektamarwaha5941]

COOL

[@thepsych3]

cool

[@tvfamily6210]

should be: derSigmoid(x) = Sigmoid(x)[1-Sigmoid(x)], and we know it reaches maximum at x=0. Plugging in: Sigmoid(0)=1/(1+e^(-0))=1/2=0.5, thus derSigmoid(0)=0.5*[1-0.5]=0.25

[@benvelloor]

@@tvfamily6210 Thank you!

[@est9949]

I'm still confused. The weight w should be in here somewhere. This seems to be missing w.

[@marijatosic217]

I am amazed by the level of energy you have! Thank you :)

[@manujakothiyal3745]

Thank you so much. The amount of effort you put is commendable.

[@elielberra2867]

Thank you for all the effort you put into your explanations, they are very clear!

[@rushikeshmore8890]

Kudos sir ,am working as data analyst read lots of blogs , watched videos but today i cleared the concept . Thanks for The all stuff

[@al3bda]

oh my god you are a good teacher i really fall in love how you explain and simplify things

[@MauiRivera]

I like the way you explain things, making them easy to understand.

[@gultengorhan2306]

You are teaching better than many other people in this field.

[@koraymelihyatagan8111]

Thank you very much, I was wandering around the internet to find such an explanatory video.

[@piyalikarmakar5979]

One of the best vedio on clarifying Vanishing Gradient problem..Thank you sir..

[@sapnilpatel1645]

so far best explanation about vanishing gradient.

[@sumeetseth22]

Love your videos, I have watched and taken many courses but no one is as good as you

[@venkatshan4050]

Marana mass explanation🔥🔥. Simple and very clearly said.

[@vikrantchouhan9908]

Kudos to your genuine efforts. One needs sincere efforts to ensure that the viewers are able to understand things clearly and those efforts are visible in your videos. Kudos!!! :)

[@swapwill]

The way you explain is just awesome

[@meanuj1]

Nice presentation..so much helpful...

[@daniele5540]

Great tutorial man! Thank you!

[@classictremonti7997]

Krish...you rock brother!! Keep up the amazing work!

[@himanshubhusanrath2492]

One of the best explanations of vanishing gradient problem. Thank you so much @KrishNaik

[@benoitmialet9842]

Thank you so much, great quality content.

[@shmoqe]

Great explanation, Thank you!

[@bhavikdudhrejiya4478]

Very nice way to explain.
Learned from this video-
1. Getting the error (Actual Output - Model Output)^2
2. Now We have to reduce an error i.e Backpropagation, We have to find a new weight or a new variable
3. Finding New Weight = Old weight x Changes in the weight
4. Change in the Weight = Learning rate x d(error / old weight)
5. After getting a new weight is as equals to old weight due to derivate of Sigmoid ranging between 0 to 0.25 so there is no update in a new weight
6. This is a vanishing gradient

[@vishaljhaveri6176]

Thank you, Krish SIr. Nice explanation.

[@mittalparikh6252]

Overall got the idea, that you are trying to convey. Great work

[@deepthic6336]

I must say this, normally I am kinda person who prefers to study on own and crack it. Never used to listen to any of the lectures till date because I just don't understand and I dislike the way they explain without passion(not all though). But, you are a gem and I can see the passion in your lectures. You are the best Krish Naik. I appreciate it and thank you.

[@b0nnibell_]

you sir made neural network so much fun!

[@skiran5129]

I'm lucky to see this wonderful class.. Tq..

[@adityashewale7983]

hats off to you sir,Your explanation is top level, THnak you so much for guiding us...

[@sunnysavita9071]

your videos are very helpful ,good job and good work keep it up...

[@yoyomemory6825]

Very clear explanation, thanks for the upload.. :)

[@classictremonti7997]

So happy I found this channel! I would have cried if I found it and it was given in Hindi (or any other language than English)!!!!!

[@nabeelhasan6593]

Very nice video sir , you explained very well the inner intricacies of this problem

[@MrSmarthunky]

Krish.. You are earning a lot of Good Karmas by posting such excellent videos. Good work!

[@naresh8198]

crystal clear explanation !

[@satyadeepbehera2841]

Appreciate your way of teaching which answers fundamental questions.. This "derivative of sigmoid ranging from 0 to 0.25" concept was nowhere mentioned.. thanks for clearing the basics...

[@mittalparikh6252]

Look for Mathematics for Deep Learning. It will help

[@MsRAJDIP]

Tommorow I have interview, clearing all my doubts from all your videos 😊

[@nazgulzholmagambetova1198]

great video! thank you so much!

[@YashSharma-es3lr]

very simple and nice explanation . I understand it in first time only

[@nirmalroy1738]

super video...extremely well explained.

[@neelanshuchoudhary536]

very nice explanation,,great :)

[@hiteshyerekar9810]

Nice video Krish.Please make practicle based video on gradient decent,CNN,RNN.

[@narsingh2801]

You are just amazing. Thnx

[@faribataghinezhad3293]

Thank you sir for your amazing video. that was great for me.

[@sunnysavita9071]

very good explanation.

[@arunmeghani1667]

great video and great explanation

[@nola8028]

You just earned a +1 subscriber ^_^
Thank you very much for the clear and educative video

[@ambreenfatimah194]

Helped a lot....thanks

[@melikad2768]

Thank youuuu, its really great:)

[@krishj8011]

Very nice series... 👍

[@dhananjayrawat317]

best explanation. Thanks man

[@BalaguruGupta]

Thanks a lot sir for the wonderful explanation :)

[@nikunjlahoti9704]

Great Lecture

[@abdulqadar9580]

Great efforts Sir

[@abhinavkaushik6817]

Thank you so much for this

[@GunjanGrunge]

that was very well explained

[@skviknesh]

I understood it. Thanks for the great tutorial!
My query is:
weight vanishes when respect to more layers. When new weight ~= old weight result becomes useless.
what would the O/P of that model look like (or) will we even achieve global minima??

[@tonnysaha7676]

Thank you thank you thank you sir infinite times🙏.

[@yousufborno3875]

You should get Oscar for your teaching skills.

[@gaurawbhalekar2006]

excellent explanation sir

[@khiderbillal9961]

thanks sir you really hepled me

[@AA-yk8zi]

Thank you so much

[@ArthurCor-ts2bg]

Excellent 👌

[@feeham]

Thank you !!

[@AnirbanDasgupta]

excellent video

[@Thriver21]

nice explanation.

[@ilyoskhujayorov8498]

Thank you !

[@maheshsonawane8737]

Very nice now i understand why weights doesn't update in RNN. The main point is derivative of sigmoid is between 0 and 0.25. Vanishing gradient is associated with only sigmoid function. 👋👋👋👋👋👋👋👋👋👋👋👋

[@salimtheone]

very well explained 100/100

[@prerakchoksi2379]

I am doing deep learning specialization, feeling that this is much better than that

[@narayanjha3488]

This video is amazing and you are amazing teacher thanks for sharing such amazing information
Btw where are you from banglore?

[@susmitvengurlekar]

Understood completely! If weights hardly change, no point in training and training. But I have got a question, where can I use this knowledge and understanding I just acquired ?

[@naimamushfika1167]

nice explanation

[@amitdebnath2207]

Hats Off Brother

[@ganeshkharad]

nice explaination

[@anusuiyatiwari1800]

Very interesting

[@naughtyrana4591]

Guruvar ko pranam🙏

[@louerleseigneur4532]

Thanks krish

[@raj4624]

superb

[@magicalflute]

Very well explained. Vanishing gradient problem as per my understanding is that, it is not able to perform the optimizer job (to reduce the loss) as old weight and new weights will be almost equal. Please correct me, if i am wrong. Thanks!!

[@hokapokas]

Good job bro as usual... Keep up the good work.. I had a request of making a video on implementing back propagation. Please make a video for it.

[@krishnaik06]

Already the video has been made.please have a look on my deep learning playlist

[@hokapokas]

@@krishnaik06 I have seen that video but it's not implemented in python.. If you have a notebook you can refer me to pls

[@krishnaik06]

With respect to implementation with python please wait till I upload some more videos

[@lalithavanik5022]

Nice expalnation sir

[@muhammadarslankahloon7519]

Hello sir, why the chain rule explained in this video is different from the very last chain rule video. kindly clearly me and thanks for such an amazing series on deep learning.

[@aaryankangte6734]

Sir thank u for teaching us all the concepts from basics but just one request is that if there is a mistake in ur videos then pls rectify it as it confuses a lot of people who watch these videos as not everyone sees the comment section and they just blindly belive what u say. Therefore pls look into this.

[@Haraharavlogs]

you are legend nayak sir

[@Joe-tk8cx]

Great video, one question, when you calculate the new weights using the old weight - learning rate x derivative of loss with respect to weight, the derivative of loss wrt weight is that the sigmoid function ?

[@rayyankhattak544]

Great-

[@anandemani5472]

Hi Krish,Can we declare convergence when the weights are decreasing less than 0.0001?

[@manikosuru5712]

As usual extremely good outstanding...
And a small request can expect this DP in coding(python) in future??

[@krishnaik06]

Yes definitely

[@varayush]

@krish: thanks for the wonderful lessons on the neural network. may I request you to correct the equation using some text box on the video as this will have intact information that you would like to pass on

[@aishwaryaharidas2100]

Should we again add bias to the product of the output from the hidden layer O11, O12 and weights W4, W5?

[@suryagunda4038]

May god bless you ..