Vectors - The Math of Intelligence #3

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  • Опубліковано 3 лют 2025

КОМЕНТАРІ • 231

  • @aevai
    @aevai 7 років тому +35

    Your videos are amazing! They remind me of the quote "anyone who tries to make a distinction between education and entertainment doesn't know the first thing about either"

    • @SirajRaval
      @SirajRaval  7 років тому +7

      thanks Jonathon! Reminds me of Disney, one of my main inspirations

  • @robinranabhat3125
    @robinranabhat3125 7 років тому

    no matter what people say about your fast paced teaching , i am in love with your style .

  • @JayeshSaita
    @JayeshSaita 7 років тому +172

    "Relationships are like Algebra, you look at your X and Wonder Y"... damn man 😂😂😂

  • @FPproductionz
    @FPproductionz 7 років тому

    Siraj, I jumped into Deep Learning about a year ago and am a huge fan of your videos; this would have been a fantastic resource when I first started out and I think it's so cool that you're taking the time to get through the foundational stuff so everyone can enjoy your other, awesome videos! Thanks :)

  • @younisibrahim4562
    @younisibrahim4562 7 років тому

    Damn the way you've moved from Scalar-to-Vector by Algebra-to-Linear algebra, so Array-to-Matrix.
    You're a professional Educator, Siraj. Thank you very much.

  • @adoniyasgirma4104
    @adoniyasgirma4104 7 років тому +1

    Great video siraj!your videos aren't just informative but entertaining as well, keep making them. big fan here

  • @DigitalMonsters
    @DigitalMonsters 7 років тому +45

    I understood a couple of those words.

    • @AkarshSundareswar
      @AkarshSundareswar 7 років тому +8

      Izumi Koushiro you need more epochs then..

    • @SirajRaval
      @SirajRaval  7 років тому +10

      Epic! Keep watching, concepts will be reinforced over time

  • @MrKaryerist
    @MrKaryerist 7 років тому +1

    Brilliant demo of how vectors can be used in real life. Helps me to put it in the context of my linear algebra course👍

  • @Zzznmop
    @Zzznmop 7 років тому +30

    this channel is my safe place.

    • @SirajRaval
      @SirajRaval  7 років тому +7

      im honored and will keep it that way

  • @aidangomez4726
    @aidangomez4726 7 років тому +2

    GREAT visuals and production and perfect explanation. you just keep getting better at this.

    • @SirajRaval
      @SirajRaval  7 років тому

      thanks Aidan for following my progress

    • @aidangomez4726
      @aidangomez4726 7 років тому

      Siraj Raval 🅱️🅱️🅱️🅱️🅱️🅱️

  • @nano7586
    @nano7586 6 років тому

    Vectors are pretty much the major problem I'm facing with ANNs right now.. thanks for that video!

  • @pekhotinyets
    @pekhotinyets 5 років тому

    I have to watch this twice. Once for the math and the other for the humor

  • @jakeroosenbloom
    @jakeroosenbloom 7 років тому

    Amazing!! The audio was the best on any video yet. Thanks for making this :')

  • @kishoregeorge1129
    @kishoregeorge1129 6 років тому

    Best explanation of 'word embedding'! Superb video!!

  • @yitto4965
    @yitto4965 6 років тому

    i've learned soooo much from this series so far.. awesome job.. love you Siraj!

  • @BitcoinmeetupsOrg123
    @BitcoinmeetupsOrg123 7 років тому

    Loved this video. Very interesting subject. It reminds me of stuff I have been thinking about myself independently for years. Thank you Siraj, this video was great.

  • @pinkiethesmilingcat2862
    @pinkiethesmilingcat2862 7 років тому +14

    SIRAJ, i finished the Spanish subs in the video of the Intro, maybe i'll make the next tomorrow or today at the night.
    Please, accept it and update the Google Drive Document with the script of this video when you can (:
    Awesome vid bro!

    • @SirajRaval
      @SirajRaval  7 років тому +4

      Gracias Pinkie, i've accepted your subtitles. I've also added this script to that same document. I will continue adding every weeks script to that document and review any subtitle submissions you make. :)

    • @nands4410
      @nands4410 6 років тому +2

      Not all heroes were capes

  • @anteconfig5391
    @anteconfig5391 7 років тому

    whoa, you said "also useful for preventing overfitting" and I realized I needed to take notes.
    I'm glad I stumbled upon your youtube videos sir.

  • @UnboxingSve
    @UnboxingSve 7 років тому

    Great Siraj. Keep it up.

  • @matthewalviz4427
    @matthewalviz4427 6 років тому

    I learned to appreciate math thanks to you @Siraj Raval, Thanks so much!

  • @yoloswag6242
    @yoloswag6242 6 років тому

    As a high performing Autist, it's very difficult to absorb your Humor. Danke

  • @luis96xd
    @luis96xd 5 років тому

    This video was so amazing! It was well explained, thanks Siraj! :D

  • @2parinda
    @2parinda 6 років тому

    Brother your descriptions are really really great!! keep it up.. Congrats

  • @riganpatel
    @riganpatel 7 років тому

    this is an awesome explanation of math we have learned in college thanks Siraj god bless

  • @nitinbhandari7932
    @nitinbhandari7932 6 років тому

    Did I just witness the best analogy for fit and overfit? Darn!

  • @vijayabhaskar-j
    @vijayabhaskar-j 7 років тому

    Liked the video first,then watched it! :)

  • @ConTejasMusic
    @ConTejasMusic 7 років тому

    Awesome vid Siraj. One question - at 8:56 when you show the 4 types of norms, is there a norm that you recommend developers should use most often? Or does it depend on the type of ML model you're building?

  • @alexmorrison4140
    @alexmorrison4140 7 років тому

    Hey Siraj Raval, how probable is it for abstract machine learning libraries to reduce demand for machine learning expertise to the point that the average person could not reasonably expect to gain employment in machine learning after investing the considerable effort it takes to understand the underlining math of machine learning?
    For example in a previous video you showed a abstraction of tensorflow that allowed you to simply take a labeled data set f(Vi) = Yi. All training/learning was then abstracted by the library and and you simply input a new vector that was not labeled and and the library output its best guess of y's value or label based upon the data set you feed it.
    Will machine learning EXPERTISE only be necessary for companies that develop machine learning libraries?
    How long is the window for wide demand, not counting grandiose entrepreneurial endeavors?

  • @sayakpaul3152
    @sayakpaul3152 7 років тому

    This video is really powerful, very well put.

  • @mrcrash4974
    @mrcrash4974 7 років тому

    So how does matrix multiplication work programmaticly in numpy? I thought matrix multiplication is done the algebraic way in a loop like you showed in the algebra example and numpy is just faster because its doing its looping calculations in C. (4:52)

    • @SirajRaval
      @SirajRaval  7 років тому

      will explain this in-depth next week promise

  • @piotrvandrey853
    @piotrvandrey853 7 років тому +2

    I have to watch Siraj's videos several different times. Not to grasp concepts, but becuz I'm usually laughing the first couple of times thru

    • @piotrvandrey853
      @piotrvandrey853 7 років тому +1

      let me also add, the more I go thru his mathematics videos the more I despise my past mathematics teacher. I flunked highschool algebra, yet now I find myself using linear algebra to optimize learning programs. Thank You for the teaching, Siraj.

    • @SirajRaval
      @SirajRaval  7 років тому +1

      dope haha

  • @c.s.bahushruth5368
    @c.s.bahushruth5368 7 років тому +23

    Wow I'm early
    Hey Siraj could you do a video on quantum computation please please please.
    Also ur videos are Boss ur a Boss.

    • @c.s.bahushruth5368
      @c.s.bahushruth5368 7 років тому +3

      Just the basics of it.
      Why quantum computing?
      And perhaps an explanation of a simple code.

    • @aidangomez4726
      @aidangomez4726 7 років тому

      C.S.Bahushruth you don't write code for a quantum computer yet

    • @SirajRaval
      @SirajRaval  7 років тому +6

      thanks! hmm. after this series i will consider it

  • @grantking2880
    @grantking2880 6 років тому

    I really enjoyed the interpretive hand dance tensor music break.

    • @SirajRaval
      @SirajRaval  6 років тому

      thanks for saying that. i'll do more soon

  • @nagendrenkrishnamoorthy195
    @nagendrenkrishnamoorthy195 7 років тому

    Hi, I have a general query. Which algorithm is good to detect anomaly neural network or multi variable linear method ?

  • @alemmat1750
    @alemmat1750 7 років тому

    very good videos Siraj you are the best

  • @guitarheroprince123
    @guitarheroprince123 7 років тому +4

    WOAH. I didn't expect you to understand Einstein Field Equations! Dammit you gotta do a series on them too :3. You inspire me Siraj. You really really inspire me to keep learning. Thank you for existing.

  • @glautermoulin
    @glautermoulin 6 років тому

    Amazing explanation ! Congratulations

  • @sandtiwa
    @sandtiwa 6 років тому

    I wonder where you learn you materials from. Research papers? Anyways, thanks for your videos.

  • @konstantinburlachenko2843
    @konstantinburlachenko2843 7 років тому

    Please help, I don't understand what is tensor.
    Vector is invariant under coordinate system. I can use no coordinate system at all e.g. for moving particle under the known curve - I can measure the path length.
    Q1: Is tensor depend on coordinate system?
    Q2: I have rather good example of tensor of second order like intertia tensor of rigid body. I can use it to "exchange" non-free rotation vector "w" which I can move along a line into momemt of impulse(kinetic moment) via L=IW via using using usual rules of mulitplication. But what does it mean to be a more high dimensional tensor like 3?
    In video it have been said that this just an array of numbers but to which ojects I can apply this imagine tensor of degree 3 and how I should do it?
    How this numbers which are represented a tensor changes if use other coordinate system to describe my objects?
    Thanks

  • @riganpatel
    @riganpatel 7 років тому

    you are a wonderful teacher

  • @naveenvarshney7886
    @naveenvarshney7886 7 років тому +1

    great video...please make more videos on maths...since it's the essence of machine learning..

  • @frankbraker
    @frankbraker 6 років тому

    This video is hilarious! Also, wow.

  • @Jawis32
    @Jawis32 5 років тому

    5:00 why do you compare their number of operations, when they aren't even the same thing?

  • @madeyeize
    @madeyeize 7 років тому

    Hey Siraj, please consider making a video on Object detection, the deep learning approach perharps with Fast-RCNN, YOLO, SSD or The tensorflow object detection API..please....

  • @kondziossj3
    @kondziossj3 7 років тому

    don't forget add this film to your playlist :)
    btw... you are great! :D

  • @konstantinburlachenko2843
    @konstantinburlachenko2843 7 років тому

    Zero norm at 08:59 is not a norm. Never was be, never will be. Some people which work in convex optimization called it caridnality. At lease because card([1 0]) = 1, but card(2*[1 0]) is also 1. It is not 2.

  • @mariatoledo4218
    @mariatoledo4218 7 років тому

    Thanks for making this video, it is awesome!

  • @roshan_singh5709
    @roshan_singh5709 6 років тому

    Vector is an array of 1-dimension, can pls elaborate this statement, I didn't get it?

  • @ПетрИванович-л6ж
    @ПетрИванович-л6ж 7 років тому

    it is great keep making videos!!!

  • @prasenjitgiri919
    @prasenjitgiri919 7 років тому

    Thank you for the explanation, but one thing I'm still not clear on is how does Word2Vec finds similar words from sentences. For eg.
    1. Mercedes is a German legacy
    2. Honda on the other hand is pretty new
    3. But nothing beats Toyota reliability
    In this context, how will Word2Vec get to cluster {Mercedes, Honda, Toyota} as one group - can you please help explain this. I do get calculating distance, vectorizing the position of each word and selecting the dimension randomly but how does Word2Vec works.
    Thank you again Siraj from a software developer.

  • @larryteslaspacexboringlawr739
    @larryteslaspacexboringlawr739 7 років тому

    thank you for math and intelligence video

  • @rajdeeppurkayastha3287
    @rajdeeppurkayastha3287 7 років тому

    can we implement tensor concept in java ?
    I am asking because Java includes "Vector class".

  • @shaswatsood4595
    @shaswatsood4595 7 років тому

    Awesome style

  • @AIresearch123
    @AIresearch123 7 років тому +6

    vectors into tesla, i like,
    you are great.

  • @PrashadDey
    @PrashadDey 7 років тому

    So, what is vector exactly?

  • @gaieepo.jeffrey
    @gaieepo.jeffrey 7 років тому

    Although it's just one word, I can see your Chinese mandarin pronunciation is quite good. :)

  • @ayush0477
    @ayush0477 7 років тому

    2:09 that was epic"stop they get it".

  • @ericsparkman1303
    @ericsparkman1303 6 років тому

    awesome edutainment

  • @codigo_logo
    @codigo_logo 7 років тому

    I recommend gensim for word2vectors and numpy to make some operations, gensim it's just great for word2vector guys, really it's awesome.

  • @bitp
    @bitp 7 років тому

    Nice video ! Keep it up

  • @yamaaoh9511
    @yamaaoh9511 7 років тому

    hi can you answer this for me sir? 😶 " given the line x+3y+5=0 and a circle x^2+y^2-6x-4y+3=0 find the equation of the tangent to the circle which are parallel."

  • @YAakash
    @YAakash 7 років тому

    awesome is less for this video :D where can i find that matrix multiplication visual tool at 4:37and... you can't divide matrices :P

  • @spandanhetfield
    @spandanhetfield 7 років тому

    Would be great to see someone actually point out the mistakes in this video. I begin by pointing out 5:31. By reshaping your input you don't take it to a new vector space. An mXn dimensional vector space and a 1Xmn vector space are homeomorphic. Anyone want to add to this list?

    • @spandanhetfield
      @spandanhetfield 7 років тому

      Adding on as I watch, 6:00 word2vec was not a single neural net. It was an ensemble of models. And no it can't learn the embedding for a new word. There's no training/testing split there. There's only an embedding.

  • @anniamartinez7819
    @anniamartinez7819 5 років тому

    so cool your video!

  • @Paujujiya
    @Paujujiya 7 років тому

    what horoscope are you?

  • @kaziboy264
    @kaziboy264 7 років тому

    Just found Welch Labs on youtube as another spot for good youtube videos on introducing ml, you guys should collab

  • @paulntalo1425
    @paulntalo1425 4 роки тому

    Thank you for the video

  • @7m43
    @7m43 7 років тому +1

    7:30 xD Oh, My God, I love your videos

  • @trygvb
    @trygvb 7 років тому

    Linear algebra, vectorization, word2vec, cost functions, gradient descent, TPUs, tensorflow, tensorboard, neural networks, vector norms, regularization, and feature vectors in 11 minutes!!

  • @kingarthurthethirdthst3804
    @kingarthurthethirdthst3804 7 років тому +14

    What you explained: 11 minutes of precious and resourceful information
    What I got: :O + :P = 69

    • @vickylance
      @vickylance 7 років тому +1

      I feel you Bro... I feel you........

  • @directx872
    @directx872 7 років тому

    #NeverEnoughSIRAJ . It's almost like you already know what we need to hear.

  • @colox97
    @colox97 7 років тому

    i've just done the exam in linear algebra and i find it here? no thanks (even if your video was much more spicy than my entire course)

  • @jaroslavzukov2719
    @jaroslavzukov2719 5 років тому

    AHAHAH fuck, I'm dying, you're so funny 😂😂😂
    Right now I'm doing ANN course on Brilliant and you're videos are super helpful, thanks a lot!

  • @marcoflagg6601
    @marcoflagg6601 6 років тому

    thank you so much for this video. :)

  • @LogOfOne
    @LogOfOne 7 років тому

    great vid

  • @k.alipardhan6957
    @k.alipardhan6957 6 років тому

    5:00 the linear algebra way is 6 operations, while algebra way is 3 operations.
    so Its 2 times SLOWER, not 3 times faster

    • @bixbe_sglearn
      @bixbe_sglearn 4 роки тому +1

      I think the example compares an iteration pattern using algebra with processing arrays in say, Python. The %%time magic command will proved that list computation is faster.

    • @k.alipardhan6957
      @k.alipardhan6957 4 роки тому

      @@bixbe_sglearn looks like I was wrong. do you by any chance if native python (not numpy) will use AVE and SIMD?

  • @nikunjrastogi1806
    @nikunjrastogi1806 6 років тому

    Hi Siraj, appreciate for your precise work. How can we learn machine learning without prior knowledge of Math in details?

  • @AjayKumar-qm5fu
    @AjayKumar-qm5fu 6 років тому +1

    Died laughing at 5:56 😂😂😂

  • @ogunleyepius4299
    @ogunleyepius4299 7 років тому

    thank you so much for this

  • @EliotMcLellan
    @EliotMcLellan 7 років тому +1

    HE IS MY 'RIVAL' WE HAVE EQUAL POPULARITY AND MY ADS ARE LIKE HIS WITH SIMILAR COVERAGE AND MONETARY RECOMPENSE, LIKE SCROUGE AND MCQUACK, IT'S A RACE TO THE FINISH WHERE WINNER TAKES ALL, THANK GOD

  • @luanbrito8723
    @luanbrito8723 7 років тому

    Why Python is used to do this? It isn't slower than other languages?

    • @teoriaDelSoftware
      @teoriaDelSoftware 7 років тому

      Luan Brito i think you have to take some time to read more about the topic. there are huge good things about python such as another lenguajes like C.

    • @luanbrito8723
      @luanbrito8723 7 років тому

      Eduardo Rasgado yeah, I am in the first period of mechatronic engineering and I only had a introduction on programming.

  • @chasegraham246
    @chasegraham246 7 років тому

    Siraj, you sound like a human. It's weird. XD Really though your pacing is perfect.
    Also, what's that music at 3:02?

    • @1951split
      @1951split 7 років тому

      ua-cam.com/video/JWnX41TBFF4/v-deo.html

  • @anismatar
    @anismatar 7 років тому

    Excellent but maybe if this was broken into 2 vids of 10 mins each lots of concepts would be more clearly explained.

  • @datap6083
    @datap6083 7 років тому +1

    What was the song at 3:10? Great video!

  • @simetry6477
    @simetry6477 7 років тому

    Crap you are convincing me to take the two vector calculus courses at my college. In addition to the multivariable course.
    Okay so which foundational papers in the field should I read and which major books for class, for amateurs and professionals.

    • @simetry6477
      @simetry6477 7 років тому

      Off to math on Reddit, Quara, and mathexchange forums.

  • @sarath9077
    @sarath9077 7 років тому

    Awesome man.., (y)

  • @arianrahman4840
    @arianrahman4840 6 років тому

    i came here to feed my hunger , my head is full , And i'm laughing without sound

  • @WTFJapanTV
    @WTFJapanTV 6 років тому

    I died laughing at I see vectors

  • @MrJEstacado
    @MrJEstacado 5 років тому

    3:10-3:30 cracks me up

  • @nickellis1553
    @nickellis1553 7 років тому

    Checkout Siraj's new series of mixtapes:
    The Math of Intelligence
    The Math of Intelligence 2
    The Math of Intelligence 3

    • @SirajRaval
      @SirajRaval  7 років тому +1

      u know what it is, my courses are like albums

  • @YahiaDesigner
    @YahiaDesigner 6 років тому

    What is the source of your memes?

  • @JordanShackelford
    @JordanShackelford 7 років тому

    I literally just googled using non-numerical inputs in a neural network last night

  • @iLoveTurtlesHaha
    @iLoveTurtlesHaha 7 років тому +2

    Hey, I find your memes to be distracting. The one with spongbob at :50 didn't really carry the point you were making. Don't get me wrong, I love that you use memes, but I feel they should be included only to solidify the point rather than a quick joke - or after your point is made so it's not distracting.

  • @Amitsa299
    @Amitsa299 7 років тому

    Hey SIraj what's your secret, how are you learning so fast?

    • @idiocracy10
      @idiocracy10 6 років тому

      he has a video explaining how to speed learning.

  • @konstantinburlachenko2843
    @konstantinburlachenko2843 7 років тому

    09:54 - I think it false description in that sense that you're overfit and etc. what is real going on you solve bicreterion optimization problem. For more details what is regularization please take a look into convex optimization books, such as this web.stanford.edu/~boyd/cvxbook/ p.s. Thanks for video! It is still great!

  • @onefulltimeequivalent1230
    @onefulltimeequivalent1230 7 років тому

    How do you cross a mountain climber and a mosquito? Not at all, because it doesn't work with scalars and vectors.

  • @munkh-odjargalsaikhan258
    @munkh-odjargalsaikhan258 7 років тому

    you speak mandarin?

  • @thehelper9975
    @thehelper9975 5 років тому

    I like it

  • @markcarbonaro70
    @markcarbonaro70 7 років тому

    1:20 If a hearth rate of 70 is consider healthy, I'm not sure how I'm alive. I have neither a fireplace nor a hearth.

  • @sehbanomer8151
    @sehbanomer8151 6 років тому

    You pronounce Beijing perfectly