But what is a neural network? | Chapter 1, Deep learning

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  • เผยแพร่เมื่อ 26 เม.ย. 2024
  • What are the neurons, why are there layers, and what is the math underlying it?
    Help fund future projects: / 3blue1brown
    Written/interactive form of this series: www.3blue1brown.com/topics/ne...
    Additional funding for this project provided by Amplify Partners
    Typo correction: At 14 minutes 45 seconds, the last index on the bias vector is n, when it's supposed to in fact be a k. Thanks for the sharp eyes that caught that!
    For those who want to learn more, I highly recommend the book by Michael Nielsen introducing neural networks and deep learning: goo.gl/Zmczdy
    There are two neat things about this book. First, it's available for free, so consider joining me in making a donation Nielsen's way if you get something out of it. And second, it's centered around walking through some code and data which you can download yourself, and which covers the same example that I introduce in this video. Yay for active learning!
    github.com/mnielsen/neural-ne...
    I also highly recommend Chris Olah's blog: colah.github.io/
    For more videos, Welch Labs also has some great series on machine learning:
    • Learning To See [Part ...
    • Neural Networks Demyst...
    For those of you looking to go even deeper, check out the text "Deep Learning" by Goodfellow, Bengio, and Courville.
    Also, the publication Distill is just utterly beautiful: distill.pub/
    Lion photo by Kevin Pluck
    Thanks to these viewers for their contributions to translations
    German: @fpgro
    Hebrew: Omer Tuchfeld
    Hungarian: Máté Kaszap
    Italian: @teobucci, Teo Bucci
    -----------------
    Timeline:
    0:00 - Introduction example
    1:07 - Series preview
    2:42 - What are neurons?
    3:35 - Introducing layers
    5:31 - Why layers?
    8:38 - Edge detection example
    11:34 - Counting weights and biases
    12:30 - How learning relates
    13:26 - Notation and linear algebra
    15:17 - Recap
    16:27 - Some final words
    17:03 - ReLU vs Sigmoid
    Correction 14:45 - The final index on the bias vector should be "k"
    ------------------
    Animations largely made using manim, a scrappy open source python library. github.com/3b1b/manim
    If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.
    Music by Vincent Rubinetti.
    Download the music on Bandcamp:
    vincerubinetti.bandcamp.com/a...
    Stream the music on Spotify:
    open.spotify.com/album/1dVyjw...
    If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
    ------------------
    3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with TH-cam, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that).
    If you are new to this channel and want to see more, a good place to start is this playlist: 3b1b.co/recommended
    Various social media stuffs:
    Website: www.3blue1brown.com
    Twitter: / 3blue1brown
    Patreon: / 3blue1brown
    Facebook: / 3blue1brown
    Reddit: / 3blue1brown

ความคิดเห็น • 7K

  • @EebstertheGreat
    @EebstertheGreat 6 ปีที่แล้ว +5416

    Most educational videos give viewers the impression that they are learning something, while in reality, they cannot reliably explain any of the important points of the video later, so they haven't really learned anything. But your videos give me the impression that I haven't learned anything, because all the points you make are sort of obvious in isolation, while in reality, after watching them I find myself much better able to explain some of the concepts in simple, accurate terms. I hope more channels follow this pattern of excellent conceptual learning.

    • @3blue1brown
      @3blue1brown  6 ปีที่แล้ว +982

      Huh, I never thought about it this way, but that's a nice way to phrase what I'm shooting for.

    • @user-ol2gx6of4g
      @user-ol2gx6of4g 6 ปีที่แล้ว +78

      Being able to explain it at a conceptual level isn't good enough. You can only understand it by practicing (i.e., build neural nets by yourself and play with it)

    • @3blue1brown
      @3blue1brown  6 ปีที่แล้ว +252

      busi magen, I don't have a story nearly as touching as that of you and your Grandmother, but I think I would cite my dad as teaching this by example when I was growing up, in that the way that he would describe things centered on what they're actually doing in simple terms, rather than on learning the appropriate jargon.

    • @davidgiles9378
      @davidgiles9378 6 ปีที่แล้ว +5

      :-D . Eebsterthegreat: not so obvious insightful complement in reality, as long as you don't read the "I haven't learned anything" part in isolation.

    • @user-ol2gx6of4g
      @user-ol2gx6of4g 6 ปีที่แล้ว +7

      Particle accelerator is used for creating/verifying hypothesis. Your analogy is terrible.
      Regarding learning a new skill, one needs to practice rather than just passively absorb information. This is why homework exists.
      Regarding neural nets, anyone think they can "explain" NN after watching this video is frankly laughable. (not saying the content of this video is bad)

  • @nickrollings8839
    @nickrollings8839 4 ปีที่แล้ว +3336

    Quote: “Any fool can make something complicated. It takes a genius to make it simple.”…..nailed.

    • @hexa3389
      @hexa3389 4 ปีที่แล้ว +33

      "What one fool can do, another can"
      Some guy who wrote a really popular calc textbook

    • @genericperson8238
      @genericperson8238 4 ปีที่แล้ว +34

      It's a statement I don't agree with. At university, we are taught things in a formal and abstract way, not just for the sake of overcomplicating things. I don't think professors, which are primarily researchers should be considered "fools" because they fail to teach their subject in a more intuitive manner.

    • @Solaris428
      @Solaris428 4 ปีที่แล้ว +97

      @@genericperson8238 a good researcher is not necessarily a good teacher.

    • @Dongdot123
      @Dongdot123 4 ปีที่แล้ว +12

      @@genericperson8238 Yes, they're a fool in pedagogy

    • @Solo-vh9fm
      @Solo-vh9fm 3 ปีที่แล้ว +16

      A genius doesn’t really make it simply more they make it concise.

  • @ss_avsmt
    @ss_avsmt ปีที่แล้ว +559

    No man, we don't get notifications for your videos. We search for 3b1b. That's how powerful your content is.

    • @FlyingSavannahs
      @FlyingSavannahs ปีที่แล้ว +25

      I don't understand notifications either. What, we're supposed to do things other than watch all the remaining 3b1b videos we haven't yet seen between notifications? Who would be so wasteful with their lives???

    • @bruhngl
      @bruhngl ปีที่แล้ว +7

      I just type questions into TH-cam and always seem to get his videos as answers

    • @cvspvr
      @cvspvr 2 หลายเดือนก่อน +1

      ​@@FlyingSavannahsusually you'd enable notifications only for youtubers who make videos that you're almost always interested in

  • @shivshankarpe
    @shivshankarpe ปีที่แล้ว +1769

    I am blown away by the visual clarity of this description of otherwise a complex technology! More please, I am willing to pay!

    • @amitjose3739
      @amitjose3739 11 หลายเดือนก่อน +54

      thanks fellow indian bro.

    • @andrewl2787
      @andrewl2787 10 หลายเดือนก่อน +68

      = 2 USD😂😂😂😂😂😂😂😂😂😂😂😂

    • @Dtomper
      @Dtomper 10 หลายเดือนก่อน +424

      @@andrewl2787 Don't be rude bro, appreciate his good intention, 2$ might mean a lot from where he's from.

    • @HAL9000.
      @HAL9000. 10 หลายเดือนก่อน +94

      @@Dtomper Well said. Peace and love worldwide.

    • @shivshankarpe
      @shivshankarpe 10 หลายเดือนก่อน +157

      @@andrewl2787 Okay so how much did you pay? I will match you, common now

  • @kummer45
    @kummer45 5 ปีที่แล้ว +9889

    I study mathematics, physics and architecture. By definition this man is an ORACLE in the strict meaning of the word.
    With all honesty I never imagined someone explaining complex topics with the dexterity this man has. He is literally an institution and an outstanding teacher.
    The computer graphics and the illustrations are simply perplexing. This guy never evades complexity. He never evades complex arguments. He illustrate the complexity and dive into the exhaustive explanation of the details.
    It's extremely rare to see a professor and a dedicated user to put a lot of effort explaining, animating and describing mathematics the way he does.

    • @Aj-ch5kz
      @Aj-ch5kz 5 ปีที่แล้ว +74

      Well said sir. 🙌

    • @viharcontractor1679
      @viharcontractor1679 5 ปีที่แล้ว +218

      @@suwarnachoudhary8591 This video never claimed to be an expert level tutorial so stop comparing it to those type of tutorials.

    • @suwarnachoudhary8591
      @suwarnachoudhary8591 5 ปีที่แล้ว +39

      @@viharcontractor1679 When did I say that? Please read my comment again. I have no issues with the tutorial, I have objection on the comment to which I have replied. One should always make an appropriate comments. As it is incorrect to say something rude, it is always wrong to do false praising. Have you read the comment? of kummer45? Calling the tutor of the video as " Oracle"? Really? This kind of words should be used for someone like Swami Vivekanda and not for some ordinary tutorial. It almost hurts to see such misuse of words.

    • @JCake
      @JCake 5 ปีที่แล้ว +156

      @@suwarnachoudhary8591 Come on man, what is wrong with / about that comment? The video is fantastic in every way, It is dense enough that I've had to watch it several times over, yet is able to communicate the concept of a neural network in such a way that even my pea brain can grasp this topic, please think before commenting and make a proper comparison.

    • @suwarnachoudhary8591
      @suwarnachoudhary8591 5 ปีที่แล้ว +25

      @@JCake First of all, don't use the word 'man' , I am a girl. I never said video is bad.It is fine. Why everyone is coming over here and defending the video? Is is so difficult to understand what I am saying? The comment from kummer 45 is an exaggeration and I stick to it because it is. If the video is good enough , one does not need to watch it second time to understand the concept. I had seen one video by Mathew Renze on the same topic. That long tutorial, was first time I came across neural network. It was more that 1.30 hours of series of videos. I never watched it again and still remember every single concept. Now if this man is oracle what you will call him?

  • @AwesumBear
    @AwesumBear 4 ปีที่แล้ว +3062

    I can't wait for neural networking to be able to recognize my doctor's prescription.

    • @tinysim
      @tinysim 4 ปีที่แล้ว +74

      They need to study pharmacists to figure that out.

    • @pimp2570
      @pimp2570 4 ปีที่แล้ว +13

      That would be magnificent!

    • @user-qh2vq6md2g
      @user-qh2vq6md2g 4 ปีที่แล้ว +7

      from what i understand (i am also an dummy i just tell you what i think)
      the inputs are the pixels
      the weights are the pixels 's whiteness or blackness it is
      like lets say we need first pixel to be white
      so we need the computer to know there is a pixel there (hence it's an input)
      we need the computer to change how white or black it is (hence the computer's ability to change weights)

    • @jonavuka
      @jonavuka 4 ปีที่แล้ว +25

      its actually impossible, that level of calligraphy is indecipherable

    • @luisendymion9080
      @luisendymion9080 4 ปีที่แล้ว +18

      Doctors writing make Strings Theory a piece of cake for humans, AIs and aliens.

  • @benjaminmllerjensen8705
    @benjaminmllerjensen8705 ปีที่แล้ว +1251

    I'm currently taking a computer science math course where the professor strongly advised everyone to watch this exact video series to get an intuition about what all the math is actually used for.

    • @vgdevi5167
      @vgdevi5167 ปีที่แล้ว +7

      Bro, which college you studying in now?

    • @benjaminmllerjensen8705
      @benjaminmllerjensen8705 ปีที่แล้ว +37

      @@vgdevi5167 Aarhus University, Denmark

    • @benjaminmllerjensen8705
      @benjaminmllerjensen8705 ปีที่แล้ว +14

      @@vgdevi5167 1st semester :)

    • @Nalianna
      @Nalianna ปีที่แล้ว +2

      Good to learn from, and also, entertaining to watch. double win.

    • @snow3570
      @snow3570 ปีที่แล้ว +8

      Linear Algebra? That’s what I’m following in about 6 weeks, which is basically the math behind Neural Networks

  • @tvo18868
    @tvo18868 4 หลายเดือนก่อน +301

    Your videos are singlehandedly keeping my PhD research on track. Thank you for your time and effort!

    • @randomguy4738
      @randomguy4738 4 หลายเดือนก่อน +7

      This is what you're studying for your PhD? This is what I learned in highschool...

    • @blueberried9329
      @blueberried9329 4 หลายเดือนก่อน

      Which class exactly did you learn about neural networks? Did you also learn multi-variable calculus (fundamental to even the simplest neural network) in your high school class? I would love to attend!@@randomguy4738

    • @P_Stark_3786
      @P_Stark_3786 4 หลายเดือนก่อน +43

      ​@@randomguy4738 learning is not about phd or high school it's about need
      Whenever you need you learn

    • @user-py3py5sx2f
      @user-py3py5sx2f 3 หลายเดือนก่อน

      ​@@P_Stark_3786obviously there's a reason they are separated, you won't be awarded a PhD if what you "need" to learn isn't at PhD level

    • @muhammadhidayat1337
      @muhammadhidayat1337 3 หลายเดือนก่อน +27

      @@randomguy4738 What you learn, what he study are on the different level. Just shut your mouth son

  • @erwinschrodinger9693
    @erwinschrodinger9693 3 ปีที่แล้ว +2386

    In class : printf("Hello world");
    The exam :

    • @ThomasJr
      @ThomasJr 3 ปีที่แล้ว +9

      kkkk

    • @supermarketshenshah8771
      @supermarketshenshah8771 3 ปีที่แล้ว +43

      Why did introduce us to quantum mechanics. You sucks.

    • @aedaldaniel
      @aedaldaniel 3 ปีที่แล้ว +6

      😂😭

    • @hybmnzz2658
      @hybmnzz2658 3 ปีที่แล้ว +31

      @@supermarketshenshah8771 Schrödinger equation is the coolest thing in physics you suck

    • @divyasharma9716
      @divyasharma9716 3 ปีที่แล้ว

      @@ThomasJr {i>{

  • @cliffrosen5180
    @cliffrosen5180 ปีที่แล้ว +565

    Brilliantly explained

    • @uncommonsense9973
      @uncommonsense9973 ปีที่แล้ว +9

      I had learned about neural networks and knew the mechanics of it. But this is way better explained - you nailed it - brilliantly.

    • @randompersondfgb
      @randompersondfgb ปีที่แล้ว +18

      @@uncommonsense9973 Sorry to disappoint you but the commentor isn't the creator of the video lol

    • @wnyduchess
      @wnyduchess ปีที่แล้ว +5

      @@randompersondfgb he was agreeing with the commenter bro

    • @randompersondfgb
      @randompersondfgb ปีที่แล้ว +1

      @@wnyduchess To quote the reply itself; “this is way better explained - *you* nailed it - brilliantly”

    • @wnyduchess
      @wnyduchess ปีที่แล้ว +2

      @@randompersondfgb yes, you're not understanding. Uncommon Sense is saying "you" nailed it. The you is Cliff Rosen, the original commenter. He's saying that Cliff Rosen nailed it when he wrote the comment "Brilliantly explained".

  • @buihung3704
    @buihung3704 6 หลายเดือนก่อน +19

    This is how you taught Deep Learning, people. I've seen lectures that either be categorized into 2 groups: too hard or too shallow/general. You have balanced between them. Thanks you so much!

  • @mheidari988
    @mheidari988 2 ปีที่แล้ว +968

    I am Programming for more than ten years and I never saw anyone explain a complex idea by such a clean and clear terms. Well done.

    • @ABHISHEKKUMAR-bl5wy
      @ABHISHEKKUMAR-bl5wy 10 หลายเดือนก่อน +5

      yeah thats power of manim !

    • @hritijrana1409
      @hritijrana1409 2 หลายเดือนก่อน

      can you explain the animation at @9:30

    • @arjunkc3227
      @arjunkc3227 2 หลายเดือนก่อน

      Because you only program without mathematics

    • @tentimesful
      @tentimesful หลายเดือนก่อน

      secret scientist are much further than this, like they can wirelessly from satellite I think give dream images and change dreams you make yourself... for me they always try to make it ugly,...

    • @edwardmacnab354
      @edwardmacnab354 หลายเดือนก่อน

      Markov Chains ? how simple is that ?

  • @bambambhole8282
    @bambambhole8282 4 ปีที่แล้ว +2146

    In schools everyone taught us to practice maths but this man teaches us to imagine maths

    • @joukrae593
      @joukrae593 4 ปีที่แล้ว +14

      True🔥🔥

    • @taliesinmusic
      @taliesinmusic 4 ปีที่แล้ว +12

      best comment here, period!

    • @ajvlogs2277
      @ajvlogs2277 4 ปีที่แล้ว +1

      Juju

    • @shawnjames3242
      @shawnjames3242 3 ปีที่แล้ว +17

      Did you mean 'visualize' maths

    • @leandrog2785
      @leandrog2785 3 ปีที่แล้ว +22

      They don't teach you maths, they teach you how to solve exam questions. Maths is what 3Blue1Brown teaches.

  • @luukburger
    @luukburger ปีที่แล้ว +10

    I just love the way the concepts of neural networks are explained in this video. After watching it, you feel like you have an idea about the "building blocks" of a neural network. Since I'm new to the topic, it's hard to judge whether crucial things are left out or over-simplified, but I feel it's a great introduction to the topic. Thanks a lot for sharing this!

  • @EMEducation
    @EMEducation ปีที่แล้ว +3

    I absolutely love this video, I saw this video a few months ago and couldn't understand it too well until after I went into linear algebra and took a course on deep learning. This explanation is still one of the best ones I've ever seen. I truly respect your work here and please keep it up!

  • @BhuvanGabbita
    @BhuvanGabbita 3 ปีที่แล้ว +1631

    It takes 3000-4000 lines of code to make those graphics possible, he's a freakin legend

    • @omarz5009
      @omarz5009 3 ปีที่แล้ว +29

      Which is best for neuron? python or c++

    • @jagaya3662
      @jagaya3662 3 ปีที่แล้ว +207

      @@omarz5009 The main downside of python is the fact it's a high-level language and hence kinda slow. But for ML and NN it has several powerful libraries (pandas, numpy, tensorflow) which make up for that. Given Python supports the implementation of C-Code, those libraries could be optimized like heck to the point bothering with the stuff in C++ is just wasted time. Plus Python is much easier to learn, hence more people use it and develope for it.

    • @omarz5009
      @omarz5009 3 ปีที่แล้ว +9

      @@jagaya3662 That makes sense. Thanks for explaining :)

    • @omarz5009
      @omarz5009 3 ปีที่แล้ว +5

      ​@@anelemlambo497thank you for explaining :)

    • @Sujitth
      @Sujitth 3 ปีที่แล้ว +7

      How these graphics and animations were made actually?

  • @MrTyty527
    @MrTyty527 4 ปีที่แล้ว +509

    Around 2 years ago I was a sophomore statistics student and had no idea what deep learning is, until I met this video and 3b1b channel. His clear explanation of neural network and animations blew my mind. Since then I started my journey in machine learning. For a random reason I clicked onto this video again, and realized how long my journey in this field have been. This video really changed my life and I am really grateful about it.

    • @clubofsercettechnologies9135
      @clubofsercettechnologies9135 3 ปีที่แล้ว +6

      @3Blue1Brown
      Please give a heart .......

    • @yashrathi6862
      @yashrathi6862 3 ปีที่แล้ว +6

      I am in class 11 currently and unfortunately I am not able to understand this. Could you point me to some prerequisites?

    • @patrick2288
      @patrick2288 3 ปีที่แล้ว +2

      @@yashrathi6862 The linear algebra series that was recommended in the video is a good start, other than that you should keep watching this video and you will start to understand it better the more you do. I am also in class 11 and that is what helped me

    • @jialiu1796
      @jialiu1796 3 ปีที่แล้ว +12

      One year ago I met this video. I couldn't understand any single word in it. A year later, I am back and I still cannot understand it.
      I am fucking stupid.......

    • @manswind3417
      @manswind3417 3 ปีที่แล้ว +1

      @@yashrathi6862 To be honest there are no real "prerequisites" for learning neural networks, in the end it just gets down to how familiar you are with the concepts of basic graph theory. However, I admit that it can be pretty overwhelming for someone to try and comprehend all the stuff at once, which is why being savvy with the use of linear algebra is a must.
      Apart from that you should try your hand at programming once, perhaps the algorithmic mode of thinking would help you deveop an intuition for neural networks. And yes, of course try to explore graph theory, for neural networks will resonate much better with you once you do, imo.

  • @zulucharlie5244
    @zulucharlie5244 ปีที่แล้ว +7

    This channel and the visualizations it produces to teach subjects like this one is the best advance in the history of communicating mathematical ideas. It's extraordinarily inspiring that one person can have such a large impact on the world today (and for generations to come). Thank you, Grant Sanderson.

    • @test-sc2iy
      @test-sc2iy 7 หลายเดือนก่อน +1

      Dude, inspiring comment yourself.

  • @hawkite3185
    @hawkite3185 3 ปีที่แล้ว +3438

    The fact that I was sent here by my university lecturer is a testament to how good 3Blue1Brown is.

    • @RasheedaLehri
      @RasheedaLehri 3 ปีที่แล้ว +28

      Same here😂

    • @DanishJamal898
      @DanishJamal898 3 ปีที่แล้ว +16

      Same here😂😂

    • @MuhammadAhsanKaleem
      @MuhammadAhsanKaleem 3 ปีที่แล้ว +11

      Same here 😂😂😂

    • @nyzss
      @nyzss 3 ปีที่แล้ว +10

      Same here 😂😂😂😂

    • @Brahvim
      @Brahvim 3 ปีที่แล้ว +10

      Hm......
      _Daniel Shiffman?_

  • @nithinkandula4346
    @nithinkandula4346 ปีที่แล้ว +1

    The way u guys animate and explain the difficult topics in the most simple visual way is impressive...kudos and thank you for the efforts.

  • @Mypersonalyoutube123
    @Mypersonalyoutube123 4 ปีที่แล้ว +2473

    Bio teacher: what is a neuron?
    Me: a thing that holds a number between 0 and 1

    • @zbr4cker117
      @zbr4cker117 4 ปีที่แล้ว +30

      lmao good one.

    • @prabeshpaudel5615
      @prabeshpaudel5615 4 ปีที่แล้ว +110

      get out of my class

    • @insomnia20422
      @insomnia20422 4 ปีที่แล้ว +60

      You could actually associate synapses and their enhancers (weight > 0) as well as their repressors (weight < 0) as the weights and the target-neurons as the number between 0 and 1.
      Then the amount of input the target-neuron gets determines if it will fire itself (and how strong).
      So our brain works very similar to the artificial neural networks we created and it just a matter of time when there will be an AI that can genuinely learn like we can (-> artifical general intelligence or AGI) and therefore be able to surpass all of us (-> artificial super intelligence or ASI).

    • @haykg
      @haykg 4 ปีที่แล้ว +16

      InSomnia DrEvil Great explanation, but you ruined the joke lmao

    • @SuperBhavanishankar
      @SuperBhavanishankar 4 ปีที่แล้ว

      @@prabeshpaudel5615 haha

  • @akshunair3367
    @akshunair3367 3 ปีที่แล้ว +246

    Our generation is lucky to have mentors like you, thank you so much sir!

    • @nadanfrenkiel763
      @nadanfrenkiel763 2 ปีที่แล้ว +2

      Fine Indeed, Refreshing Super Tenacious

    • @elgary9074
      @elgary9074 2 ปีที่แล้ว +1

      This is the 80s generation we were listening rock music and looking how to get things done better we grew without mobile phones just sitting front of a computer or playing basketball outside in the park. We grew without rap, hip-hop, either thinking that the gang is a cool guy! this is what now generations require badly!

    • @MiguelAngel-fw4sk
      @MiguelAngel-fw4sk 2 ปีที่แล้ว +13

      ​@@elgary9074 I hope that someday scientists will be able to understand what you have written.

    • @paromita_ghosh
      @paromita_ghosh ปีที่แล้ว

      @@MiguelAngel-fw4sk 🤣

  • @samethingsmakeuslaughmakeuscry
    @samethingsmakeuslaughmakeuscry 6 หลายเดือนก่อน +43

    I am currently doing my Master's in Data Science and this 18 minute video is better than any course I have taken so far

  • @anudeepayinaparthi7493
    @anudeepayinaparthi7493 2 หลายเดือนก่อน +2

    Every few years I come back to watch this series. The most intuitive and understandable explanation of neural networks that exists

  • @SaifUlIslam-db1nu
    @SaifUlIslam-db1nu 5 ปีที่แล้ว +701

    Written some notes from the video to read quickly. Hope it helps somebody.
    l Neural Networks can recognize hand written digits, letters, words ( in general, tokens )
    l What are Neurons?
    ○ Something that holds a number [ 0, 1]
    ○ The higher the number, the higher the "activation" rate
    l Consider a 28*28 table in which each unit is represented by a value between 0 to 1 ( activation number )
    ○ Let us divide each row into a "layer", such that, if we were to divide all the layers, the last layer would contain 10 "cells" ( units ).
    ○ Values are passed from the previous cells to the last layer ( 10 unit layer ), again, between 0 and 1. The higher or closer the value is to 1, the more probability exists that the image scanned represents that unit cell.
    So, a unit cell that contains the highest value is indication that the index of the unit cell is the value of the image scanned.
    ○ 16 cells in the second and third last cells are arbitrary.
    ○ Each cell is linked ( causes activation ) to some ( not all ) other cells in the next layer which further cause more activation.
    ○ Each 'cell' corresponds to some sort of identification about how much a certain region 'lights up', and then sends a value to another node which reacts based on the received value.
    ○ To find whether a certain cell with light us, like each cell be represented by 'a Cell_Number ', and let each cell be 'assigned' a certain weight 'w'. The sum of all the products of each cells 'a' and 'w' will be:
    w1*a1 + w2*a2 + w3*a3 + w4*a4 + … + wn*an
    ○ Let these weighted sums represent some 'grid cell'. Each cell is either 'on' or 'off' with respect to being positive or negative. In this case, 'green' represents on, and 'red' represents off.
    ○ Let us concern ourselves to a certain region where the cells are mostly on. Ergo, we would be basically summing up the weightages of those grid cells.
    ○ Then, if you suppose a region where there are brighter grid cells in some part which are surrounded by dark grid cells, then that area is the main edge we're looking for.
    ○ Of course the sum of weightages gives us very different value. In order to 'squish' that number line into 0 and 1 , we use the function:
    Sigma(x) = 1/(1 + e^-x)
    Which is a sigmoid function or a Logistic Curve. Our equation now becomes:
    Sigmoid(w1*a1 + w2*a2 + w3*a3 + w4*a4 + … + wn*an)
    ○ But what if you don't always want to light up when it's a positive value, and rather want it to light up when the weighted sum of that grid cell full fills some condition, such as > 10. This is called 'Bias For Inactivity'. Using this example, our equation becomes,
    Sigmoid(w1*a1 + w2*a2 + w3*a3 + w4*a4 + … + wn*an - 10)
    Here, 10 is the "bias".
    ○ The possibilities of the different knobs and dials open us to the term of "Learning", which just means to find the correct relation of values which perform the expected behavior.
    ○ The complete expression above can be adjusted in the formula:
    a(1) = Sigma(W*a(0) + b )
    ( (1) and (0) are superscript here )
    Where W = k*n matrix whose elements are weights corresponding to a cell.
    a(0) = n*1 matrix whose elements are the 'a' of each cell.
    b= n*1 matrix whose elements are the biases of each cell
    ○ NOTE: Sigmoid function is not used very often now, instead it is replaced by ReLU ( Rectified Linear Unity ), which is defined as:
    ReLU(a) = max(0, a), a linear function where f(a) = a for a>= 0, which for a < 0, f(a) = 0.

  • @someeng5043
    @someeng5043 4 ปีที่แล้ว +224

    This is my very first time commenting on a TH-cam video, and it's just to say: This is the best explanation of anything ever.

    • @NepalSadikshya
      @NepalSadikshya 4 ปีที่แล้ว

      yet, people don't understand

    • @tommyproductions891
      @tommyproductions891 4 ปีที่แล้ว

      Some Eng congrats man

    • @the7th494
      @the7th494 4 ปีที่แล้ว

      i couldn't understand anything over a minute in

    • @bensfons
      @bensfons 4 ปีที่แล้ว +5

      Wait until you see his video about the Fourier Transform. My GOD that vid is the best thing i've seen in ages.

  • @mgonetwo
    @mgonetwo ปีที่แล้ว +8

    Thanks for all the effort you put into the work! Cannot stress enough how glad and inspired I am for having people like you on the planet.

  • @sangwookim5551
    @sangwookim5551 ปีที่แล้ว +5

    3Blue1Brown is the go-to channel that explains complex math concepts with the highest clarity without any loss of complexity of the topic. Simply brilliant!

  • @AmeraldFang
    @AmeraldFang 5 ปีที่แล้ว +469

    Is anyone else nominating this series for the "Distill Prize for Clarity" in 2019? I really think he deserves it, excellent visualizations.

    • @WepixGames
      @WepixGames 5 ปีที่แล้ว +12

      Yeah I would, every day of the year.

    • @buburayam6557
      @buburayam6557 5 ปีที่แล้ว +5

      Totally! Animation and visualization here makes understanding as clear as a crystal!

    • @milanpandey8431
      @milanpandey8431 5 ปีที่แล้ว

      yesssss

    • @lmf1799
      @lmf1799 5 ปีที่แล้ว

      @@benisrood Can it be nominated for anything else?

  • @sauravvagarwal
    @sauravvagarwal 4 ปีที่แล้ว +327

    THE TEACHING ASIDE , THOSE GRAPHICS MAN! TAKES LOT OF EFFORT!

    • @deepak4u23
      @deepak4u23 3 ปีที่แล้ว +9

      Exactly....Lot of effort is required to make this type of video.

    • @hmm7458
      @hmm7458 3 ปีที่แล้ว +3

      why iam seeing Indians everywhere

    • @kartikeya9997
      @kartikeya9997 3 ปีที่แล้ว +6

      @@hmm7458 cause u are also an indian...

    • @pandatobi5897
      @pandatobi5897 3 ปีที่แล้ว +4

      @@kartikeya9997 that's not an answer lmaooo

    • @ryanwhite7401
      @ryanwhite7401 3 ปีที่แล้ว +1

      I know I can't do better. I'll be referring students in my neural networks class to these videos, lol.

  • @Betamax84
    @Betamax84 8 หลายเดือนก่อน +10

    This the most comprehensive and understandable explanation of a neural network. Thank you.

  • @patriciocastillo2772
    @patriciocastillo2772 ปีที่แล้ว +5

    You have been a key element on my Machine Learning education! I am a visual person. So your videos help me so much to understand the concepts behind the math.

  • @JayHendren
    @JayHendren 6 ปีที่แล้ว +140

    @3Blue1Brown - A quick suggestion: Red-green color deficiency is the most common form of colorblindness. When trying to represent information via a color spectrum, could you please choose colors other than red and green for this reason? Red and blue are good choices because they are distinguishable by both red-green color deficient people as well as blue-yellow color deficient people, which is the second-most common form of colorblindness. I was completely unable to tell which pixels have positive weights and which ones had negative weights in your example due to my colorblindness. Thanks, and keep up the fantastic videos :)

    • @sergey1519
      @sergey1519 5 ปีที่แล้ว +4

      Upper row of this white zone had negative weights, central part had positive, and bottom row had negative weigths.This means that if you have horizontal line this neuron will have high values, but if vertical line or any other patern then it will have value that is closer to 0.

    • @BreaksFast
      @BreaksFast 5 ปีที่แล้ว +34

      windows 10 has colour filters that will fix this for you. go to settings, ease of access, and click on 'colour filters'

  • @tadm123
    @tadm123 4 ปีที่แล้ว +623

    I'm studying AI for my masters degree and my professor told everyone to watch this video to understand the concept :D

    • @andrea_dev
      @andrea_dev 3 ปีที่แล้ว +28

      he knows...

    • @ixy6864
      @ixy6864 3 ปีที่แล้ว

      amazing. :D

    • @misaelzepeda7920
      @misaelzepeda7920 3 ปีที่แล้ว +3

      me too!

    • @curiousredpand90
      @curiousredpand90 3 ปีที่แล้ว +10

      School is a scam

    • @shubhamsinha7702
      @shubhamsinha7702 3 ปีที่แล้ว +2

      Where are you studying ai??, I mean what is the name of your college or university????

  • @shubhampipada3130
    @shubhampipada3130 2 หลายเดือนก่อน +2

    My God! No words to express as to how you made such a complex topic to be understood using visuals so easily! Hats off!!

  • @ollerich32
    @ollerich32 ปีที่แล้ว

    Today I came back to the first video of yours which I saw some years ago and which made me appreciate maths much, much more. It is also incredibly well-made and I just watched it again. Thanks for your work, Grant! I am still subscribed and enjoy and learn from each of your videos since.

  • @christianaustin782
    @christianaustin782 6 ปีที่แล้ว +617

    PART 1? THERE WILL BE MORE? YAS 3BLUE1BROWN IS DOING NEURAL NETWORKS! TODAY IS A GOOD DAY

    • @HowardMullings
      @HowardMullings 6 ปีที่แล้ว +1

      You will find this series very helpful as well.
      th-cam.com/video/bxe2T-V8XRs/w-d-xo.html

    • @atlas7425
      @atlas7425 6 ปีที่แล้ว +34

      I totally agree, my friend. Today is a very important day in the history of youtube mathematics. And since I am the 100th person who liked your comment, I would like to give a little inspirational speech:
      To all mathematicians, physicists, engineers, computer scientists or people who want to become one of those in the future,
      today is a very important day. The best youtube mathematician, 3Blue1Brown, has made a video about neural networks and plans to make others about it in the future. I think it's not necessary to explain the inherent significance this topic has concerning the future of our technology and our understanding of the universe and the processes going on in it. These videos will help the new scientific generations to cope with the structures still to be found and to bring on a new and deeper understanding of the things that have been found and examinated before. Humanity is reaching a point, where the wish to understand the world is higher than it has ever been before. You, dear future scientists, can all be a part of the progress we are just going through, you just have to have the Will and the Strength for it, never give up if things aren't working properly or as you expected and always remember: At the end, everything will be fine, so if it isn't fine, it's not the end.
      Actually, I have reached the end of my little inspirational speech (and it is fine ;) ), and to complement it well, I want to quote a famous poem which plays an important role in a very good and famous science fiction movie....
      "Do not go gentle into that good night,
      Old age should burn and rave at close of day;
      Rage, rage against the dying of the light.
      Though wise men at their end know dark is right,
      Because their words had forked no lightning they
      Do not go gentle into that good night.
      Good men, the last wave by, crying how bright
      Their frail deeds might have danced in a green bay,
      Rage, rage against the dying of the light."
      Thank you.

    • @xipity
      @xipity 6 ปีที่แล้ว +1

      This comment is lit!

    • @zionj104
      @zionj104 6 ปีที่แล้ว

      yas

    • @hawaiijim
      @hawaiijim 6 ปีที่แล้ว

      RNN? LSTM?

  • @nityasingh3
    @nityasingh3 2 ปีที่แล้ว +333

    This video kickstarted my journey in ML a year back. Trust me, back then I watched this video three times to finally understand. It might be challenging for few to get it but when you get it, it just feels amazing

    • @chitranshsrivastav4648
      @chitranshsrivastav4648 ปีที่แล้ว +1

      @@DawnshieId why do you think it cannot go beyond 1?

    • @jackgrothaus2722
      @jackgrothaus2722 ปีที่แล้ว +4

      Felt like the brain chair meme when this video finally clicked (after the 4th watch)

    • @abinashkarki
      @abinashkarki ปีที่แล้ว

      @@chitranshsrivastav4648 How do you weight?

    • @cameleonarabic8124
      @cameleonarabic8124 8 หลายเดือนก่อน +3

      after 8:38 felt really hard to understand.. I will try again and comment back

    • @CSgof___yourself
      @CSgof___yourself 7 หลายเดือนก่อน +1

      Hell yeah. Im literally in your shoes rn

  • @SamoFix
    @SamoFix 11 หลายเดือนก่อน +2

    Never see anything similar than this. Unbelievable that such understandable visualization of illustration can be done.
    Crazily hard and great work!

  • @monome3038
    @monome3038 2 หลายเดือนก่อน

    it's incredible and inspiring to witness someone teaching a subject where they know all the details, all the whys and hows behind each detail. I can only thank you and say that you inspire me to enjoy learning especially if i can help someone learn with more ease a subject that was hard for me to gasp. I wish you all the best and thank you so so so much

  • @thisaintmyrealname1
    @thisaintmyrealname1 4 ปีที่แล้ว +38

    "Even when it works, dig into why" - 3B1B. Your lessons are pure gold sir. I'm here after watching the entire Essence of Linear Algebra. Thank you.

  • @DavidGPeters
    @DavidGPeters 4 ปีที่แล้ว +380

    how is it possible that I can lie in my bed on a Sunday and am presented with mind-boggling cutting edge knowledge told by an incredibly soothing voice in a world class manner on a 2K screen of a pocket supercomputer basically for free

    • @smit_1449
      @smit_1449 3 ปีที่แล้ว +42

      Welcome to the 21st century

    • @Unstable_Diffusion89
      @Unstable_Diffusion89 3 ปีที่แล้ว +27

      yet 90% of people use that supercomputer to mindlessly scroll feeds.

    • @Unstable_Diffusion89
      @Unstable_Diffusion89 3 ปีที่แล้ว +12

      @@Charge11 And software engineering advancements, thousands of years of intellectual history, biological evolution of conscious brains and so forth.
      point is, it's miraculous if you step back far enough.

    • @stargrabbitz6726
      @stargrabbitz6726 3 ปีที่แล้ว

      because it isn't

    • @ericvelasquez1282
      @ericvelasquez1282 3 ปีที่แล้ว +8

      It's not free, Google's massive network of AI neuron is harvesting terabytes upon terabytes of information about you every time you click on anything.

  • @Suryakanthi1982
    @Suryakanthi1982 2 หลายเดือนก่อน

    This is simplest and best way to explain neural networks. This is the best introductory video on Neural networks I watched so far.

  • @nicksohacki7114
    @nicksohacki7114 ปีที่แล้ว +47

    amazingly well-explained. hats off to you, good sir

  • @MrJonndoe
    @MrJonndoe 4 ปีที่แล้ว +9

    One of the few teachers that don't make you feel stupid, but actually help you understand the topic. I appreciate the time you spend on this.

  • @blurr3272
    @blurr3272 3 ปีที่แล้ว +121

    this is my first introduction to machine learning and I watched this only twice to get it, really goes to show how good of a teacher this guy is, the effort he puts in is nothing short of amazing !

    • @filippians413
      @filippians413 3 ปีที่แล้ว +11

      Definitely am gonna have to watch it again. Got half way through and it started to get pretty heavy

  • @scriptles
    @scriptles 8 หลายเดือนก่อน +15

    AI, neural networks, machine learning... these things are going to be a HUGE part of our future.

  • @skepticmoderate5790
    @skepticmoderate5790 6 ปีที่แล้ว +70

    I just watched Welch labs machine learning playlist a few weeks ago. It was mind-blowing. I'm glad you're getting into machine learning too! : )

  • @shaileshrana7165
    @shaileshrana7165 3 ปีที่แล้ว +959

    As a person who has self-learned a bit of python and is just trying to learn this stuff, this is exactly the best place to begin.

    • @DeFabulisHistoria
      @DeFabulisHistoria 3 ปีที่แล้ว +14

      My thoughts exactly!

    • @duykhanh7746
      @duykhanh7746 2 ปีที่แล้ว +7

      At the end of the video, he showed the relu function f(a)=a with a>0, so the value of the neuron doesnt have to be between 0 and 1?

    • @funwithstudy2333
      @funwithstudy2333 2 ปีที่แล้ว +1

      That's me

    • @B20C0
      @B20C0 2 ปีที่แล้ว +29

      @@duykhanh7746 A bit late but if your question hasn't been answered yet: It doesn't really matter if you have a value >1. Basically anything above 0 is an activation and you can also view it as the size of "a" being the intensity of the activation. Biological neurons can also be more active by firing in fast succession (up until they reach the maximum possible firing rate of like 250-1000Hz depending on the source), but you don't want to introduce things like loops in artificial neurons to not slow down your network. So to simulate this kind of behavior, you just let your output get bigger. You can compensate for the lack of an upper limit in the following neurons by adjusting the weights and the biases.
      TL;DR: No. :D

    • @Skynet_the_AI
      @Skynet_the_AI ปีที่แล้ว

      🙂

  • @NoobJang
    @NoobJang 11 หลายเดือนก่อน +3

    neatly explained, never thought machine learning would be this easy to comprehend
    most of the youtubers out there just throw bunch of concepts out without actually explaining the relation and the logic of the whole design
    most of the time i thought i was too stupid to understand these things and that i must take a specialized college course or sth
    but turns out that wasnt the case, its just that youtube needs more people like you who can explain things with sophisticated details in simple language
    thanks for your contribution bro

  • @leviathan5792
    @leviathan5792 26 วันที่ผ่านมา +2

    Sigmoid squishification function might just be the best thing I've ever heard in maths

  • @efulmer8675
    @efulmer8675 3 ปีที่แล้ว +65

    3Blue1Brown
    "Sigmoid Squishification Function": 11:23
    Most brilliantly named function I have ever heard named. Absolutely brilliant. The merger of the technical with the simple with a double alliteration for easy memory.

  • @MattBargain
    @MattBargain 3 ปีที่แล้ว +12

    I work in a company developing just this kind of stuff. I’m still baffled how incredibly intelligent people are and I have no idea how they can repeatedly accept me as worthy enough to be with them.

    • @blackbriarmead1966
      @blackbriarmead1966 2 ปีที่แล้ว +1

      impostor syndrome. There will almost always be someone better than you, but you are probably better than you give yourself credit for

  • @agustinjoe
    @agustinjoe ปีที่แล้ว +2

    I saw this video when it first came out, I was amazed at how Deep Neural Networks worked and how he could explain them so clearly. Now I am working as a Machine Learning engineer. Thank you so much for helping me find my passion

  • @rigeshyogi
    @rigeshyogi ปีที่แล้ว

    This is by far the best explanation I have seen to understand how a neural net works. Kudos.

  • @katariegels258
    @katariegels258 2 ปีที่แล้ว +45

    I am just astounded. I spent so much time trying to understand this concept. Everywhere I looked people would show the similar neural network animation, but no one ever really explained and exemplified every single step, layer, term and mathematics behind it.
    The video is really well structured and with amazing animations. Extremely well done. My mind is so blown I can barely write this comment.

  • @abhiram6329
    @abhiram6329 3 ปีที่แล้ว +215

    Every second of this video is a Pre-requisite to the next second of the video :D

  • @jamescarr2191
    @jamescarr2191 8 หลายเดือนก่อน +12

    Fantastic visualized learning!

  • @cakec9
    @cakec9 ปีที่แล้ว

    i have recommended this channel in every single conversation I had in 2022. Thank you!

  • @paulah1639
    @paulah1639 6 ปีที่แล้ว +132

    This is the best intro to neural networks I have ever seen. The presentation is excellent! The animations are very very very helpful especially in understanding the formulas and matrices and how they came to be. Thanks a million. Looking forward for the next one.

  • @marcellod.7290
    @marcellod.7290 2 ปีที่แล้ว +38

    I am a Data Scientist and I would like to tell you THANKS.
    I have NEVER met anyone with the ability to teach complex things in this way.
    A M A Z I N G.
    Please continue like this, for example with other statistics videos. You can substitute many of the University courses.

    • @anjalikhobragade7063
      @anjalikhobragade7063 8 หลายเดือนก่อน

      May I know which type network connection allows neural network

  • @White_Shadow
    @White_Shadow 5 วันที่ผ่านมา

    There is a lot of beauty in the "abstract" world. Your videos help me to discover marvelous things that were previously hidden. Thanks!

  • @simonshepherd8801
    @simonshepherd8801 9 หลายเดือนก่อน

    This video explains the subject so clearly and makes the topic so accesible where previously it wasnt - thank you. Great communication.

  • @gauravrai5393
    @gauravrai5393 2 ปีที่แล้ว +4

    Your way of making things simpler, relevant, and uncovering the most complex concepts into meaningful lessons is amazing.

  • @TheSloveniaGuy
    @TheSloveniaGuy 6 ปีที่แล้ว +9078

    📂Documents
    └📁Videos
    └📁 3Blue1Brown
    └📁 Bad Videos
    └⚠️ This folder is empty

    • @leongladkowski3078
      @leongladkowski3078 6 ปีที่แล้ว +88

      True

    • @rustin3255
      @rustin3255 6 ปีที่แล้ว +745

      I think the more important question here is why do you have a videos folder inside your documents folder

    • @OktoPutsch
      @OktoPutsch 6 ปีที่แล้ว +457

      Hiding porn, one layer at at time.

    • @irvinge4641
      @irvinge4641 6 ปีที่แล้ว +41

      corny as hell

    • @PrasannjeetSingh
      @PrasannjeetSingh 6 ปีที่แล้ว +64

      And more importantly!! why would you even save the "bad videos"!

  • @user-ls1dq5gu1j
    @user-ls1dq5gu1j 6 หลายเดือนก่อน

    Explaining something like Deep Learning with so much clarity is very hard to find, hats off to you and thank you for sharing the knowledge!

  • @shaktisingh3864
    @shaktisingh3864 2 ปีที่แล้ว +615

    One “like” is not enough for the work that has gone into making one such video. This video should be part of the curriculum and he should get the royalty for this. Awesome work!

    • @natew4724
      @natew4724 ปีที่แล้ว +3

      Yes!

    • @benjaminmllerjensen8705
      @benjaminmllerjensen8705 ปีที่แล้ว +8

      I'm currently taking a computer science math course where the professor strongly advised everyone to watch this exact video series to get an intuition about what all the math is actually used for.

    • @drunkpy1590
      @drunkpy1590 6 หลายเดือนก่อน

      +1

  • @rahulsundaresan218
    @rahulsundaresan218 6 ปีที่แล้ว +54

    This channel is so damn good. Other channels give some terrible analogies and some other explain it in extreme technical detail. This strikes the perfect balance and provides a foundation to understand the more technical details

    • @Mosfet510
      @Mosfet510 6 ปีที่แล้ว +1

      I wish this guy was my math teacher back in high school.

    • @Certio0
      @Certio0 6 ปีที่แล้ว +1

      Just shows that good teaching skills are very rare.

    • @MrFredazo
      @MrFredazo 6 ปีที่แล้ว +1

      Understandable animations on the perfect timing with the words, and no holes on the explanations, makes the trick

  • @SiegelBantuBear
    @SiegelBantuBear 13 วันที่ผ่านมา

    Gracefully unpacked for my small mind. Sigh. Bless you back Sir🙏🏼

  • @Lawls
    @Lawls ปีที่แล้ว +3

    Thank you so much for making this. I just finished a lecture on this and didn't understand it at all. In 5 minutes here I understood so much more.

  • @agustindangelo1412
    @agustindangelo1412 5 ปีที่แล้ว +108

    Wow a lot of things that i've learned on this first year of system engineering are captured on this video, but previously I didn't understand the real essence of it. Thank you for these amazing vids! Greetings from Argentina :)

    • @Octi00
      @Octi00 5 ปีที่แล้ว

      Boludo

  • @brianbarefootburns3521
    @brianbarefootburns3521 6 ปีที่แล้ว +39

    Finally, a video that does more than just present some neurons and layers and say, “here’s an activation function.” Your video describes how the model is developed and why the algorithmic approach is appropriate for the problems neural networks try to solve. Thanks!

  • @ash1983
    @ash1983 4 หลายเดือนก่อน

    I have never seen a more clear and pedagogic way oof explaning neural networks! Thank you! And awesome graphics btw…

  • @harryli7557
    @harryli7557 ปีที่แล้ว

    It was magic when this video starts lining up with what I have just learned in a data mining class. Love your videos so much! Also, would be cool to see your take on power laws and self-organized criticality--I'm sure some really interesting connection can be made visually!

  • @GauravSingh-ku5xy
    @GauravSingh-ku5xy 3 ปีที่แล้ว +414

    This guy: Uses dark screen to illustrate a long concept so that it's easy on the eyes.
    Everyone: "Carefully, he's a hero."

    • @betterfly7398
      @betterfly7398 3 ปีที่แล้ว +11

      Careful, you might poke the boomers who think that black themes are just for edgy people.

    • @Baddaby
      @Baddaby 3 ปีที่แล้ว +22

      Meanwhile schools: LET'S CHOOSE THE BRIGHTEST AND WHITEST COLORS FOR THE LIGHTS, WALLS AND ACTUAL BOARD
      They're bound to pay attention then, right?

    • @Shadow77999
      @Shadow77999 3 ปีที่แล้ว +1

      Me at night 👌

  • @amir650
    @amir650 6 ปีที่แล้ว +252

    The best introduction to Neural Net's I've ever seen. Kudos!

  • @mittensmacks9239
    @mittensmacks9239 9 หลายเดือนก่อน

    I have to be honest...During school and college I never was a fan of math at all....But this channel is actually changing my mind. I even bought a math book!!! This is a good channel!

  • @chaoszero6867
    @chaoszero6867 ปีที่แล้ว +1

    You are a beautiful human being. I've watched you even before college, just out of interest and curiosity. Now I'm in college, and I can't thank you enough. Math is so much more amazing when you have many different eyes to view it in. Also I'm currently taking linear algebra and an intro to neural networks.

  • @abdulhadishoufan5353
    @abdulhadishoufan5353 6 ปีที่แล้ว +4

    Behind this material is an extreme shot of giftedness. Explaining something is not easy. You first need a solid physical model for the topic in your brain and then you need to translate this model into a mental model that can be faithfully exported into others' brains. I congratulate you for this excellent job and I hope that you appreciate what you are and what you are doing. This is much more important than how much money this business brings.

  • @20sur20edu
    @20sur20edu 3 ปีที่แล้ว +61

    This will go down as one of the best lectures in history. What an amazing and concise explanation of something I thought I would never understand ...

  • @pamr001
    @pamr001 4 หลายเดือนก่อน

    I know you read this all the time, but I must say it. You videos are simply incredible! Your work reshapes education. You deserve every cent that this platform puts in your pocket.

  • @_mto
    @_mto 6 ปีที่แล้ว +164

    Neural networks is a topic I've wanted an intuitive understanding of for a while. 3b1b has the most intuitive explanations on TH-cam.
    This video could not be any better.

    • @alchemicalmoon3426
      @alchemicalmoon3426 6 ปีที่แล้ว

      MTO Intuitive understanding?

    • @bobbob3630
      @bobbob3630 6 ปีที่แล้ว +2

      It isn't intuitive understanding if you have been looking for a explanation in a while xd

    • @Fermion.
      @Fermion. 6 ปีที่แล้ว +1

      N·J Media - Intuitive understanding is understanding that in a triangle, for example, the side across from a given angle has to increase or decrease in length relative to its opposite angle, without a mathematical proof.

  • @jsnadrian
    @jsnadrian 4 ปีที่แล้ว +12

    watching this for a second time and i can't believe how illuminating is to come back to the basics and get a renewed understanding -- grant, you're a treasure

  • @avirfrog2091
    @avirfrog2091 ปีที่แล้ว +1

    Thanks for helping me understand how NN works :D I started exploring this subject a few days ago and your video helped me a lot to understand some things better.

  • @Brillibits
    @Brillibits ปีที่แล้ว +4

    This was one of the first videos I watched when learning machine learning. Now its my job! :)

  • @aishasyed9756
    @aishasyed9756 2 ปีที่แล้ว +14

    Can't believe how well explained and intuitive this is. I aspire to become a teacher like you.

  • @tessdejaeghere6972
    @tessdejaeghere6972 3 ปีที่แล้ว +5

    You're the first person to explain bias in an intuitive manner. Thank you.

  • @chauhandivyansh9416
    @chauhandivyansh9416 7 หลายเดือนก่อน

    The explanation in itself is a work of art. truly remarkable.

  • @sorabghaswalla555
    @sorabghaswalla555 6 หลายเดือนก่อน

    This is an awesome video, and the use of animation has made a complex topic like ANN so much easier tp understand. Thank you very much. A fan for life.

  • @felipedigregorio3948
    @felipedigregorio3948 2 ปีที่แล้ว +23

    Just saw this series of videos and I'm now hungry for more. Congratulations on your unique capacity to make visual very complex information. The last episode flew a bit over my head at times, but I really appreciate you took the time to go to that level

  • @nicolasderoover
    @nicolasderoover 2 ปีที่แล้ว +96

    I'm in my first year of engineering, looking to go into CS, and this video makes me extremely excited for my coming education. I've already watched so many of your videos, and they've all had a similar effect. Thank you so much!

    • @kingsoonkit9234
      @kingsoonkit9234 10 หลายเดือนก่อน

      Same energy brother!

    • @snurffff
      @snurffff 7 หลายเดือนก่อน

      How has your degree been going?

  • @user-br1fe8de1e
    @user-br1fe8de1e ปีที่แล้ว +1

    Too good. Can't imagine how long it'll take for me to understand this concept without your video!

  • @leonardohugens1255
    @leonardohugens1255 9 หลายเดือนก่อน +1

    You are so cool man, you manage to explain concepts in such an intuitive way, I have learned a lot from you, THANK YOU! You're the best

  • @FacultyofKhan
    @FacultyofKhan 6 ปีที่แล้ว +1308

    Thank you 3b1b. This video certainly gave me a deep enough understanding to allow my neural networks to retain the information.
    EDIT: seems like I'm not the only one making lame puns about the title.

    • @PeterNjeim
      @PeterNjeim 6 ปีที่แล้ว +5

      For the first argument in the video: "You can recognize that all of these images are 3's, even though the pixels are very different." is complete bullshit. Handwriting varies *_EXTREMELY_* person by person and so humans are very used to looking at different ways to write the same thing, especially with things like cursive. It's not a surprise that we can identify the images, please don't talk like it is a surprise, makes me feel like you're less intelligent than you really are.

    • @Yuras20
      @Yuras20 6 ปีที่แล้ว +32

      Calm down a little... Everything what's been said in this video is in context of machine learning, computers, mathematics, algebra etc. So if we want to treat brain as a complex computer than it's function to recognize letters from pixels is amazing and give food for thought how human's brain really works.

    • @Rurexxx
      @Rurexxx 6 ปีที่แล้ว +29

      Peter Njeim it's not a surprise that you can identify images. The surprise is how complicated image recognition actually is if you think about it.

    • @bruno_sjc_
      @bruno_sjc_ 6 ปีที่แล้ว +53

      Peter Njeim, do people invite you for parties?

    • @jonathanmercedes3583
      @jonathanmercedes3583 6 ปีที่แล้ว

      Faculty of Khan M

  • @codemaster1768
    @codemaster1768 2 ปีที่แล้ว +7

    It took me one week to understand this when I was reading a university lecture. You explained it to me in 20 mins. You are such a savior. Thanks 3Blue1Brown!

  • @maheshnarasegowda1652
    @maheshnarasegowda1652 วันที่ผ่านมา

    You nailed it, wow !! , making any concept simple to understand is an art, you are an artist

  • @user-rm2qj2jh4l
    @user-rm2qj2jh4l 7 หลายเดือนก่อน

    Wow, I sort of kind of understood neural networks before, but after watching this video I feel like I understand them SO much better!! Thanks so much for making math videos that are visual, fun, and thorough! :D

  • @Bande
    @Bande 2 ปีที่แล้ว +4

    Every single time I watch one of your videos, I can't stop being astonished by how genius of an educator you are. Thank you so much for these explanations, you are doing great good for a future generation of technical experts (and more)

  • @vimalalwaysrocks
    @vimalalwaysrocks 2 ปีที่แล้ว +6

    ML grad student here and hands down Grant covered an entire chapter concisely and very clearly in this video. I don’t think reading any academic books will give you this amount of intuition on this subject within a few minutes. Still mesmerized by the effort!

  • @This-Is-Nick
    @This-Is-Nick ปีที่แล้ว

    I saw 5 videos on this topic, and this one was the best by far! Thank you!