12a: Neural Nets

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  • เผยแพร่เมื่อ 19 เม.ย. 2016
  • *NOTE: These videos were recorded in Fall 2015 to update the Neural Nets portion of the class.
    MIT 6.034 Artificial Intelligence, Fall 2010
    View the complete course: ocw.mit.edu/6-034F10
    Instructor: Patrick Winston
    In this video, Prof. Winston introduces neural nets and back propagation.
    License: Creative Commons BY-NC-SA
    More information at ocw.mit.edu/terms
    More courses at ocw.mit.edu

ความคิดเห็น • 279

  • @tommytan8571
    @tommytan8571 3 ปีที่แล้ว +221

    Rest in peace , professor . He died in 2019 , let us remembered him by watching this again and again.

    • @omgcyanide4642
      @omgcyanide4642 3 ปีที่แล้ว +1

      No way

    • @jeffreyanderson5333
      @jeffreyanderson5333 3 ปีที่แล้ว

      Let's push this to a million view

    • @marcogelsomini7655
      @marcogelsomini7655 2 ปีที่แล้ว

      The great explainer

    • @avibrarbrar
      @avibrarbrar 2 ปีที่แล้ว +3

      Maybe understanding it and doing something worthwhile with it.

    • @sshaikh8104
      @sshaikh8104 2 ปีที่แล้ว +2

      What a shocking news i just read, its feeling like some one from my own professor 😕 I am extremely sad

  • @NeuralxAi
    @NeuralxAi 4 ปีที่แล้ว +36

    I am From a village in Kashmir. We Don't Have Teachers That Can Explain Things on this Level And i Totally depend on These Great Teachers in MIT. Lot's Of Love Sir, I wish I could Get You Subscribers from my Whole University. I Can Only Say Thank You So much for Quality Educations .

    • @chakibafraoucene397
      @chakibafraoucene397 4 ปีที่แล้ว +3

      he passed away :( last month

    • @NeuralxAi
      @NeuralxAi 4 ปีที่แล้ว +1

      @@chakibafraoucene397 RIP 😓

    • @sozejigar1326
      @sozejigar1326 2 ปีที่แล้ว +1

      Koshur here too. Tuhund comment os on top of the list.

  • @OttoFazzl
    @OttoFazzl 7 ปีที่แล้ว +283

    This professor is amazing! His explanation of SVMs was one of the best and clear I could find on the Internet.

    • @gaurav63105
      @gaurav63105 7 ปีที่แล้ว +24

      I also started with SVMs and then decided to see his other lectures,he's so crisp

    • @alexm5914
      @alexm5914 7 ปีที่แล้ว +3

      I'm watching SVMs right now, and I think I might do that too...

    • @binoruv
      @binoruv 7 ปีที่แล้ว +2

      Me too!!!

    • @magnumalba
      @magnumalba 3 ปีที่แล้ว +6

      It is not "This Professor". It is one of the fathers of AI.

    • @ankitasahoo668
      @ankitasahoo668 3 ปีที่แล้ว +1

      I too agree

  • @ahmedmoneim9964
    @ahmedmoneim9964 7 ปีที่แล้ว +165

    Thanks MIT for making these lectures publicly available, it is simply great!!

    • @vinayreddy8683
      @vinayreddy8683 6 ปีที่แล้ว +6

      Ahmed AbdelMounem don't built a bomb with the base of this lecture

    • @StingBolt
      @StingBolt 2 ปีที่แล้ว +4

      @@vinayreddy8683 i wonder how idiots like you came here

  • @muhammadhamzahm1204
    @muhammadhamzahm1204 4 ปีที่แล้ว +69

    May you live in peace professor Patrick! You're a giant in field of machine learning. Your these lecture are biggest asset that beginners can use to climb.
    Thanks

    • @pandatobi5897
      @pandatobi5897 3 ปีที่แล้ว +1

      rest in peace* now. he's dead.

  • @psrajoria
    @psrajoria 2 ปีที่แล้ว +5

    "All great ideas are simple. How come there aren't more of them? Well, because frequently, that simplicity involves finding a couple of tricks and making a couple of observations.
    So usually, we humans are hardly ever go beyond one trick or one observation. But if you cascade a few together, sometimes something miraculous falls out that looks in retrospect extremely simple." - Prof. Winston

  • @juliogodel
    @juliogodel 8 ปีที่แล้ว +31

    This is just great MIT. How I wished you could upload All classes from prof Winston.. I could keep watching them for days. Clarity and straight to the point. Marvelous!

  • @dr.mikeybee
    @dr.mikeybee 6 ปีที่แล้ว +7

    I really like this course. When a Professor understands the material. it can be clearly explained, and Professor Winston really understands the material.

  • @EranM
    @EranM 2 ปีที่แล้ว +2

    Patrick writing on the blackboard is ASMR to my ears :>

  • @kutilkol
    @kutilkol 4 ปีที่แล้ว +11

    8:55 disclaimer . there exists also neurons connected directly without synaptic gaps as proposed by Camillo Golgi. so both Cajal and Golgi were right.
    RIP prof. Winston, beautiful classes, thank you sir

  • @RobBarter
    @RobBarter 3 ปีที่แล้ว +2

    Just happened upon this youtube video and begun watching it as have a passing interest in Neural Networks.....then realised I recognised his name. Looked up and pulled down a book I bought back in 1992 (not opened in years), Artificial Intelligence by Patrick Henry Winston. Sorry to hear we've lost him.

  • @JG_1998
    @JG_1998 ปีที่แล้ว +1

    Rest in Power Dr. Winston.

  • @bradjones2071
    @bradjones2071 3 ปีที่แล้ว +3

    I agree. Everyone always assumed MIT professors will just leave you with there intelligence and not be able to connect with the average lay-person but that is an incorrect assumption. I can basically understand alot of what he's talking about and am glad for the video.

  • @soulysouly7253
    @soulysouly7253 3 ปีที่แล้ว +2

    Holy shit everything is so clear.
    I also frickin love when he explains very simply why we use a that one specific function, why we square this, why do we divide that, where does that coefficient come from, etc... and it all makes so much more sense than the gibberish written on the slides that I have to decipher every lecture.

  • @adityanarendra5886
    @adityanarendra5886 2 ปีที่แล้ว +2

    Prof Winston, your explanations of AI have always fascinated and inspired mw in to the field. Rest in Peace professor.

  • @balllaktomas
    @balllaktomas 6 ปีที่แล้ว +16

    It's sad that in our school we had lecture for this and I was lost but I think teacher was too. And than this guy comes with all elegance and no arrogance providing you this information and let it share too people around the world. WELL PLAYED.

  • @sharifk9860
    @sharifk9860 3 ปีที่แล้ว +2

    What an amazing lecture! I have seen many neural network lectures. This one is by far the most comprehensive and easy to understand. I instantly fell in love with prof. Winston. I hope he is now teaching God and his angels.

  • @ryanalopez
    @ryanalopez 2 ปีที่แล้ว +2

    Good in depth mathematical explanation of neural net components. If new to learning about neural nets, I'd recommend watching a few other videos first which cover the overall design goals of neural nets, how they work at a high level, and the outputs they are trying to achieve before jumping into the mathematical models used to describe errors and performance.

  • @backpropalgo
    @backpropalgo 4 หลายเดือนก่อน

    amazing content. I miss real blackboards like this. I have to admit that the prof looked to be struggling a bit. I heard he passed away, so I would just say thank you for a really great session that I have shared with everyone in my own circle that had questions about how the foundation/basics of modern AI work

  • @willroman3595
    @willroman3595 ปีที่แล้ว

    We live in such an awesome time that this information is available to everyone, free of charge.

  • @thevirginmarty9738
    @thevirginmarty9738 8 ปีที่แล้ว +401

    Awesome course. Someday I will use this to build a robot girlfriend. Thank you!

    • @robl4836
      @robl4836 7 ปีที่แล้ว +26

      You need a Robot first before you can build it a Girlfriend ;)

    • @23Ather
      @23Ather 7 ปีที่แล้ว +45

      You need both the robot and the girlfriend to find the minimum of the cost function. (robot - girlfriend)^2 ;)

    • @koushik7604
      @koushik7604 7 ปีที่แล้ว +2

      :)

    • @vijayd8634
      @vijayd8634 7 ปีที่แล้ว +9

      Funny, the cost will be half of it!

    • @peterkay7458
      @peterkay7458 6 ปีที่แล้ว +9

      When you get it working please make the CAD files available online. PLEAZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ jk

  • @nikre
    @nikre 3 ปีที่แล้ว +2

    what a privilege to be a student in this class.

  • @jvwdigital
    @jvwdigital 6 ปีที่แล้ว +5

    2 years later and this is still a great lecture. Amazing instructor. I actually watched the whole thing. Simple ideas only take a quarter century to find. We humans need to make more observations, put them together, and see what shakes out.

  • @bohusb.6879
    @bohusb.6879 3 ปีที่แล้ว +5

    This professor is amazing. His lectures are so clear and the same time he goes really deep. Very well structured lectures.

  • @jvanrs4928
    @jvanrs4928 3 ปีที่แล้ว +2

    Thanks MIT, initiatives like this can truly spark innovation

  • @bidhanmajhi
    @bidhanmajhi 4 ปีที่แล้ว +12

    He explained it very well. Sadly he's no more RIP

  • @OhhBabyATriple
    @OhhBabyATriple 8 ปีที่แล้ว +50

    Winston is the best AI lecturer

  • @redaelhail9877
    @redaelhail9877 4 ปีที่แล้ว +2

    Thank you professor Patrick ! you had an extraordinary simple explanation for complex principles !
    Thank you MIT for sharing this incredible content.

  • @Nestorghh
    @Nestorghh 7 ปีที่แล้ว +5

    world-class professor and lecture.

  • @prinzrainerbuyo3234
    @prinzrainerbuyo3234 7 ปีที่แล้ว

    Here is the complete playlist: th-cam.com/play/PLUl4u3cNGP63gFHB6xb-kVBiQHYe_4hSi.html

  • @irazt
    @irazt 4 ปีที่แล้ว +3

    I wish I could have taken these courses in person. Thank you for sharing your knowledge to the world professor

  • @ragy1986
    @ragy1986 8 หลายเดือนก่อน

    It's the best video on NN on youtube, bar none!

  • @maffixwilliam5471
    @maffixwilliam5471 2 ปีที่แล้ว

    Thanks MIT for making this lecture public. The Lecturer explained the concepts, which makes it very crystal clear. Thanks. btw rip to the lecturer. done an honorable thing to the world. am benefiting from his work. thnks again to him and MIT. Keep up the great works please.

  • @xXxBladeStormxXx
    @xXxBladeStormxXx 8 ปีที่แล้ว +31

    To think that just as back as 2010, they thought Neural Nets weren't worth spending much time on and now the instructor, I'm guessing, felt compelled to update even the ocw playlist to include these videos, should give everyone an idea of how good a time it is to be studying these topics.
    In the course of just a few years, deep neural nets have become extremely relevant again. It's indeed a great time to be studying Artificial Neural Networks.

    • @limitless1692
      @limitless1692 7 ปีที่แล้ว +1

      we are at the start of AI age
      being first here is a edge

    • @user-ol2gx6of4g
      @user-ol2gx6of4g 6 ปีที่แล้ว +5

      we were at the start of AI age since 1950s.

    • @MrAlipatik
      @MrAlipatik 5 ปีที่แล้ว

      wake me up when they create tiny computers in a chip, that can be able to calculate simultaneously, and all hell break loose.

  • @yusuferoglu9287
    @yusuferoglu9287 4 ปีที่แล้ว +4

    RIP Sir!

  • @Ludiusvox
    @Ludiusvox 5 ปีที่แล้ว +2

    Right now I am studying a Lexus ES350 Air Conditioning system, and Neural Networks are part of the A/C controls. Not being able to find any resources on it at the school this lecture is very useful. I might add, MATLAB deep learning toolkit is useful also.

  • @SharathPunreddy
    @SharathPunreddy 5 ปีที่แล้ว +2

    Loved it, thank you very much for making complex things so simple.

  • @tuha3524
    @tuha3524 2 ปีที่แล้ว

    yes, yes, absolutely agree with Professor. "hardly ever go beyond one trick or one observation."

  • @rustycherkas8229
    @rustycherkas8229 2 ปีที่แล้ว

    Great lecture! Lucid with moments of humour and humanity.
    Thanks MIT.

  • @montserratcano2389
    @montserratcano2389 6 ปีที่แล้ว +3

    Thanks for sharing MIT! Excellent teacher!

  • @shatandv
    @shatandv 8 ปีที่แล้ว +2

    I'm loving this course

  • @OnionKnight541
    @OnionKnight541 ปีที่แล้ว

    that was fantastic. at the end, he says, this miracle was a consequence of two tricks plus an observation. and, all great ideas are simple and easy to overlook.

  • @benjaminhardisty66
    @benjaminhardisty66 7 ปีที่แล้ว +8

    Sweet lecture! This stuff finally makes some good intuitive sense ;)

  • @mikeschmit6474
    @mikeschmit6474 6 ปีที่แล้ว +5

    Just a minor correction at 4 minutes.
    That is a ring-tailed Lemur, not a Madagascar cat

  • @jonelya
    @jonelya 2 ปีที่แล้ว

    29:26 the best ever explanation of chain rule..thank you so much

  • @TheZudork
    @TheZudork 6 ปีที่แล้ว +1

    Thank you for this amazing class!

  • @AlwaniAkber
    @AlwaniAkber 6 ปีที่แล้ว +1

    Though I am not good in math but few of the explanation really make sense ..great professor and video

  • @qzorn4440
    @qzorn4440 7 ปีที่แล้ว +3

    a very relaxing lecture, this makes me think of deep learning programs. thanks.

    • @NisseOhlsen
      @NisseOhlsen 7 ปีที่แล้ว +1

      q zorn or maybe deep sleep?

  • @zekeanthony
    @zekeanthony 5 ปีที่แล้ว

    superb prof Winston

  • @tuha3524
    @tuha3524 2 ปีที่แล้ว

    I love this course so so much. Exellent!!

  • @dostoguven
    @dostoguven 7 ปีที่แล้ว +3

    amazing teacher.

  • @keskinaytac
    @keskinaytac 7 ปีที่แล้ว

    Thank you for the subtitles.

  • @heri_prieto
    @heri_prieto 7 ปีที่แล้ว +2

    This was beautiful.

  • @radsimu
    @radsimu 7 ปีที่แล้ว +3

    this nicely explains some of the mathematical decisions of nn models. really good stuff!

    • @AdrianVrabie
      @AdrianVrabie 7 ปีที่แล้ว

      hey Radu! I dunno what you are referring to when you say "mathematical decisions" but I agree with it that it's awesome stuff! Btw! You've also done some nice stuff with NLP in Romanian! :) You should contact me and give me the code in Java maybe I can continue in the free time to do some stuff too! Kudos to you in advance! :) (ce lume mica!)

    • @radsimu
      @radsimu 7 ปีที่แล้ว +1

      Haha :). Will upload it all on github some day. Need to make it more tidy first. Will keep you posted

    • @AdrianVrabie
      @AdrianVrabie 7 ปีที่แล้ว

      Radu Simionescu adauga.ma te rog pe facebook ca nu te gasesc. adrian vrabie

  • @ibadurrahman5954
    @ibadurrahman5954 5 ปีที่แล้ว +2

    Thanks for this lecture it was amazing .

  • @mdtowhidurrahman8406
    @mdtowhidurrahman8406 3 ปีที่แล้ว +4

    I am not sure if it's me or others who feel the same after the pandemic. I feel disturbed and lose focus as soon as the students start coughing in the background. The pandemic left us with a mental phobia.

    • @MICKEYISLOWD
      @MICKEYISLOWD 2 ปีที่แล้ว

      Go look at climate change if you really want Mental phobias! It's shocking. The acceleration of change is scary as fuck. Just 10 yrs from now and economies will begin falling.

  • @dnyaneshwardarade6120
    @dnyaneshwardarade6120 3 ปีที่แล้ว +4

    I only dream of sitting there and watching the professor

  • @maoqiutong
    @maoqiutong 6 ปีที่แล้ว +2

    Between 46:00 and 49:00, dynamic programming also uses similar concept to avoid exponential blowup. Maybe back propagation is also a kind of dynamic programming.

  • @daniyalali6016
    @daniyalali6016 6 ปีที่แล้ว +1

    learn a lot about neural nets from this video course.

  • @michaelredenti2054
    @michaelredenti2054 5 ปีที่แล้ว +1

    The fact that the derivative of the sigmoid function is given exclusively in terms of the input/sigmoid is not that surprising since the sigmoid is a function of the exponential function whose derivative is itself.

  • @strings1984
    @strings1984 4 ปีที่แล้ว +1

    Seems like in the biological model the hill climbing is done by the physical architecture and the pull on the axiom path by the surrounding associated stimuli's, the added advantage of this pull is it lets us know where to head towards when the solution isn't fitting the question.

  • @SuperMaDBrothers
    @SuperMaDBrothers ปีที่แล้ว

    amazing lecture good points at the end on simplicity

  • @alv2648
    @alv2648 7 ปีที่แล้ว +1

    at 4:10 seems he misspoke about misclassified examples by Geoffrey Hinton's U Toronto NN. Appears the right answers (aka labels) are shaded red (second choice for the first two photos). Labels are set by the researcher for the training set - so they chose cherry instead of dalmatian in picture #3.

  • @drewlaino
    @drewlaino 5 ปีที่แล้ว +1

    That P at 16:35 was amazing...

  • @brambeer5591
    @brambeer5591 6 ปีที่แล้ว +3

    Cool guy, awesome lecture!

  • @fraollemecha
    @fraollemecha 2 ปีที่แล้ว

    Awesome course. Someday I will use this to build a program that writes programs.

  • @nitinsiwach1989
    @nitinsiwach1989 7 ปีที่แล้ว +1

    at 41:00 .. Starting off with weights being the same would not necessarily mean they remain the same. it would if they were in same layer but here the neurons are not.. am i missing something?

  • @aoweishen3496
    @aoweishen3496 7 ปีที่แล้ว +12

    Can you please build a full playlist of this course? Cuz it's really good but i don't know how to find the rest of the course. Thank you!

    • @mitocw
      @mitocw  7 ปีที่แล้ว +35

      Here is the complete playlist: th-cam.com/play/PLUl4u3cNGP63gFHB6xb-kVBiQHYe_4hSi.html

  • @hassananwer3674
    @hassananwer3674 4 ปีที่แล้ว +5

    50:02 "All great ideas are simple"

    • @Yomama4536
      @Yomama4536 3 ปีที่แล้ว +1

      But not all simple ideas are great...

  • @myroseaccount
    @myroseaccount 3 ปีที่แล้ว

    This wasn't overlooked but buried by Marvin Minsky in 1970 by his book Perceptrons

  • @bendev6807
    @bendev6807 4 ปีที่แล้ว

    Great lecture. Enjoyed it a lot. RIP Prof Winston.

  • @KSayar
    @KSayar ปีที่แล้ว

    Excellent teacher.

  • @KaiyuZheng
    @KaiyuZheng 7 ปีที่แล้ว +5

    I don't quite get the last point: the computation with respect to width is w^2 (width squared).Can someone explain?

    • @Dennis4Videos
      @Dennis4Videos 5 ปีที่แล้ว +1

      1 year late but to whom it may concern: it is because you can cross-link the neurons hence w^2

  • @mathhack8647
    @mathhack8647 2 ปีที่แล้ว

    @26:05, I ike this philosophy. RIP Dear Winston, Your coursers are stil used by students and perpitual leaners, like me , all over the world/ الله يرحمك ويحسن لايك بقدر ما نفعت طلابك وعموم البشر

  • @perrydeng6960
    @perrydeng6960 5 ปีที่แล้ว +1

    Backpropagation starts at 26:25

  • @chuvaca189
    @chuvaca189 2 ปีที่แล้ว

    Gracias MIT con la colaboracion de finis terrae :D

  • @tsvisabo731
    @tsvisabo731 ปีที่แล้ว

    What an awesome teacher

  • @bobbejaan_music
    @bobbejaan_music 7 ปีที่แล้ว

    Problem i have is that if in = 0 then the weight of that in does not change because its weight change depends on its input. (pd sigmoid in / pd w) = in where in = 0. I think weights should change if there is an error.But if out = 1 and in = 0 then w1 does not change.

  • @kabal127
    @kabal127 4 ปีที่แล้ว

    Best course ever

  • @IvandroidYT
    @IvandroidYT 2 ปีที่แล้ว

    Awesome! he explains really good

  • @MinusBrain
    @MinusBrain 6 ปีที่แล้ว +1

    Thanks for uploading such an awesome lecture. One point I did not get, though:
    Could anyone please explain what i and j are in the function to calculate the delta of the weights at 21:24 ? Did I miss where the professor explains where this comes from?

    • @aidenigelson9826
      @aidenigelson9826 3 ปีที่แล้ว

      I assume i and j are for x and y values respectively, 2i + 3j is the coordinate of x equal 2 and y equal 3.

    • @kjyu
      @kjyu 3 ปีที่แล้ว

      @@aidenigelson9826 I am pretty sure i and j are unit vectors, that space had only two dimensions w1 and w2 so the unit vectors looked like i =[1,0] and j=[0,1], so yes you are correct

    • @aidenigelson9826
      @aidenigelson9826 3 ปีที่แล้ว

      @@kjyu it's a pretty long text for saying yep, I imagine you thought I was wrong, wanted to say sth then read again, found out it's correct but was too lazy to delete it hehehe

  • @5hawnK3lly
    @5hawnK3lly 3 ปีที่แล้ว +1

    really impressive drawing skills i must say

  • @chetjuall2269
    @chetjuall2269 6 ปีที่แล้ว +2

    Great ending beginning at 50:00

  • @prinzrainerbuyo3234
    @prinzrainerbuyo3234 7 ปีที่แล้ว

    It's 'Fall 2105' in the description

  • @devonallary5251
    @devonallary5251 7 ปีที่แล้ว +2

    @24:30, shouldn't the weight for w0 be 1 instead of -1? Then, as long as the sum of the other inputs is greater than 0, they will always pass the threshold since w0 + SUM(w-0) >= T - -> Sum(w-0) >= T - w0 - -> Sum(w-0) >= 0.

    • @andrii5054
      @andrii5054 3 ปีที่แล้ว

      I agree, thought the same thing

  • @avawinters6184
    @avawinters6184 3 ปีที่แล้ว

    ok, amazing lesson and all, but where do I get one of these chalkboards?

  • @i890ola
    @i890ola 2 ปีที่แล้ว

    Thanks from Syria 🇸🇾

  • @Velvels
    @Velvels 7 ปีที่แล้ว +2

    Excellent lecture by Prof Winston. Can someone share the link to the tool he uses to demonstrate neural net in action ( what he calls "World's smallest neural net in action" )

  • @daoxiongteng1591
    @daoxiongteng1591 6 ปีที่แล้ว +2

    Good job with the cardio!

  • @michaelsu4253
    @michaelsu4253 ปีที่แล้ว

    22:55 "Sadly in Harvard" in 1974 gave us the answers. This makes my day😂

  • @anandagrawal2497
    @anandagrawal2497 ปีที่แล้ว

    This is art

  • @Jirayu.Kaewprateep
    @Jirayu.Kaewprateep 3 ปีที่แล้ว

    From his example, how much initial random value create BETTER results since too wide create time approx because approach algorithms or because time widely scope⁉️

  • @WepixGames
    @WepixGames 4 ปีที่แล้ว

    R.I.P Patrick Winston

  • @fulliculli
    @fulliculli 7 ปีที่แล้ว +2

    Awesome video content. Just make the sound louder please.

  • @trevorjones2095
    @trevorjones2095 2 ปีที่แล้ว

    Is Conway's Game of Life hard to do with neural nets?

  • @stumbling
    @stumbling 6 ปีที่แล้ว +3

    Is it just me or is the sound low on this?

  • @cagmz
    @cagmz 7 ปีที่แล้ว +6

    Does anyone know where the 1/2 comes from at 28:00?

    • @ThomasFauskanger
      @ThomasFauskanger 7 ปีที่แล้ว +12

      I think it's just to make the derivative nicer. He uses the derivate at 33:30 , and is just d-z and not 2(d-z) as it would've been otherwise.
      I think one of his points in other videos is that it's about mathematical convenience. The performance function is arbitrary and can be adjusted to "be nice".

    • @PullingEnterprises
      @PullingEnterprises 6 ปีที่แล้ว +1

      It's however long you want your approximation step length to be. That is, if the optimization function is -1/2 then every step you'll reduce how far you were off (d-z) by half. If it was 1/3 then our approximation would be dividing the off distance by three and traveling just that far. The (d-z) term is how much you were off from the right result, and the -1/2 is just the step size to adjust (iteratively) until your gradient descent is within a threshold to give you the outputs you want while training your network.

    • @WhoForgot2Flush
      @WhoForgot2Flush 6 ปีที่แล้ว +3

      Makes taking the derivative easier. You don't need it, you'll get the same result it just makes the math easier.

  • @somaprasadsahoo2446
    @somaprasadsahoo2446 8 หลายเดือนก่อน

    How the performance function became -1/2 (d-z)^2 ? 28:08

  • @peterkay7458
    @peterkay7458 6 ปีที่แล้ว +3

    Damn this guy is good! wow

  • @neurolife77
    @neurolife77 3 ปีที่แล้ว

    13:45 As a neuroscience student, I confirm this statement ;)