Visualizing Multi-variable Functions with Contour Plots

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  • Опубліковано 3 лис 2024

КОМЕНТАРІ • 86

  • @mrbrafi9006
    @mrbrafi9006 2 роки тому +40

    I was searching for contour plot tutorials as I was learning machine learning and for a cost function I needed to visualize a contour plot. I needed to understand how our programs find the best fit line or the lowest point of the 3d graph. Then I suddenly found this video and it's amazing. I'll also suggest my friends to subscribe this channel.

  • @youssefdirani
    @youssefdirani 3 роки тому +74

    I highly appreciate you don't use background music. Please keep it that way.

  • @sAiTAMa19478
    @sAiTAMa19478 3 роки тому +3

    I have a feeling that you were born to be a professor, more like this profession needs you.

  • @udayprakashsoni6304
    @udayprakashsoni6304 4 роки тому +29

    Excellent way of explaining the Contours. Really liked it !

  • @tomasblazek8531
    @tomasblazek8531 2 роки тому +4

    Amazing job! I was going thru some pretty hard times trying to only imagine it and for my technical mind, I need to clearly visualize and almost touch things before I can say I understand them. Therefore your way of explanation was for me more effective than 2 hours of theoretical discussion.
    And as Confucius wrote down “Tell me and I will forget, show me and I may remember; involve me and I will understand.”

  • @vishalvarakhedkar8816
    @vishalvarakhedkar8816 5 місяців тому +1

    Dear sir,
    May god bless you and give you a fulfilling life. The explanation cannot get better than this!

  • @Mark-c9i
    @Mark-c9i 11 днів тому

    God bless. You have a God given talent for explaining things

  • @DeepakSingh-uf5vv
    @DeepakSingh-uf5vv 3 роки тому +4

    who so ever edit your lectures is super awesome, and the content is really cool.

  • @songohan393
    @songohan393 4 роки тому +4

    this is the only video I found to this topic and it is amazing, thanks

  • @shutupimlearning
    @shutupimlearning 2 роки тому +1

    thank you so much for this video. I didn't understand it when my lecturer was explaining it so you really saved me!

  • @farhadkazemi4431
    @farhadkazemi4431 3 роки тому +4

    great video thanks a lot, yet I think there is a tiny error near the ending where you're explaining the parabolas...the x axis that you're referring is visualized as y in your left diagram

  • @m.venkadesen9037
    @m.venkadesen9037 2 роки тому +1

    I'm from India class 12 th student . I am able to understand this video. Elegant explanation sir🤩

  • @theleviathan3902
    @theleviathan3902 Рік тому +1

    Think it's really cool that the contours are hyperbolas

  • @Tsoenyana
    @Tsoenyana 15 днів тому

    6:13 - 6:18. I had the same reaction.🤣😂Imma really mention this Doctor when I write my books🙏

  • @diegobravo641
    @diegobravo641 20 днів тому

    Incredibly useful. Thanks!

  • @andrerossa8553
    @andrerossa8553 2 роки тому

    Excellent lesson! Thanks for such an enthusiastic way of explaning the main ideas.

  • @alkankondo89
    @alkankondo89 5 років тому +5

    Hahaha, that "pause animation" at 6:19! 😆

  • @sarachaudhary9755
    @sarachaudhary9755 28 днів тому +1

    i dont understand why you have such a less no of subscribers

  • @raphaeldayan
    @raphaeldayan 4 роки тому +1

    Thank you very much for your video, you're a very good professor, your explanations are amazing, thanks.

  • @AnilKumarnn
    @AnilKumarnn 3 місяці тому

    I was reading the Qualia Research Institute blog and they used a lot of hyperbolic geometry. Is this a hyperbolic paraboloid?

  • @DiegoMathemagician
    @DiegoMathemagician 5 років тому +10

    i love your videos :) thank you for doing this

  • @mahrmussie5681
    @mahrmussie5681 Рік тому +1

    Great video, easy to visualize 3D

  • @srivatsavavuppala1008
    @srivatsavavuppala1008 2 роки тому

    Great Content Sir!!!! Helped me a lot in ML!!!!! TYSM ❤

  • @ahmedamr1124
    @ahmedamr1124 7 місяців тому

    you just too good to exist and I will say it in Arabic انت راجل عظمة

  • @citiesinspace
    @citiesinspace 4 роки тому +2

    May I ask what API/visualization software you use for the 3D graphing?

  • @Irfan-ei7yv
    @Irfan-ei7yv 2 роки тому +1

    Well explained!

  • @AdilKhan-we3wb
    @AdilKhan-we3wb 3 роки тому

    Hello sir. i am so much blessed that you are giving such a quality knowledge to us .. Sir i have doubts regarding the co ordinate system you are using in lectures can you please explain me how exactly the things are going it is not looking like noramal x,y co ordinate system or x,y,z co ordinate system .. i cannot find where exactly the 0,0,0 point is .. i am talking about the 3:51 part of this video

  • @hemas3163
    @hemas3163 4 роки тому +3

    I have just started taking machine learning classes....They use countour plots to explain things. How can I understand things more clearly?

    • @hyanbatista3281
      @hyanbatista3281 4 роки тому

      I'm having the same problem kkkk. When it happens I do just this: watch videos about the prerequisites on UA-cam and pray to understand at the first try around. That's all I can do kkkkk

  • @sumers9396
    @sumers9396 2 роки тому +1

    very useful explanation, thank you!

  • @BibliophilicBlurb
    @BibliophilicBlurb Рік тому

    if I give command weights=a third column in my data frame, what does the color in kdeplot then represent the density of point or the value being high or low in the third colour, I would be grateful for any help. Thanks

  • @venjaminschuster2797
    @venjaminschuster2797 2 роки тому +1

    amazingly explained! Thank you very much!

  • @HettyPatel
    @HettyPatel 3 роки тому +1

    thank you!

  • @TS-qv1jf
    @TS-qv1jf 2 роки тому +1

    Thanks, I wonder why my professor can't explain it in such an understandable way.

  • @MJsMoonwalker4life
    @MJsMoonwalker4life 4 роки тому +1

    Short and to the point :) thanks !

  • @rirhassan6355
    @rirhassan6355 3 роки тому +4

    Great amazing explanation made my life easier there.... :D

  • @nikhilgupta7482
    @nikhilgupta7482 4 роки тому +1

    very nice explanation...with visualisation

  • @continnum_radhe-radhe
    @continnum_radhe-radhe 2 роки тому +1

    Thank you sir 🔥

  • @sinyolotzzz
    @sinyolotzzz 2 роки тому

    hi, what about contour plots for function that has more than 2 variables? in the video example the contour plot has only two axis

  • @PriyankaKumari-xc7zh
    @PriyankaKumari-xc7zh 3 роки тому +1

    Thsnks

  • @halihammer
    @halihammer 2 роки тому +1

    Is there a way to break down functions of n dimensions into a set of functions with only two inputs so that we could combine them and visualize a n dimensional function somehow in 3d?
    I would love to visualize the "problemlandscape" of some neural networks

  • @bharathbn9225
    @bharathbn9225 4 роки тому

    great video and answered all my questions ....thank you sir

  • @MuhammadWaqas-wj4dh
    @MuhammadWaqas-wj4dh Рік тому

    Please tell me, which app you can used to draw the 3d graph

  • @tuongnguyen9391
    @tuongnguyen9391 4 роки тому +1

    wow can you attach the code of these drawings. They look oddly beautiful

  • @nadaaliganoun3284
    @nadaaliganoun3284 Рік тому

    That's was very useful! Thank u , i had some troubles to understand the contour 😭💜

  • @blugreen99
    @blugreen99 6 місяців тому

    Unlike the old fashioned chalkand black board trchiquethere is no blocking of diagramsby lecturers body and no distracting handwriting movement.

  • @jlpsinde
    @jlpsinde 3 роки тому +1

    Very good

  • @discoveryofphysics9303
    @discoveryofphysics9303 3 роки тому +1

    Thanks it helps.

  • @tomtackett2853
    @tomtackett2853 4 місяці тому +2

    3:18 “it’s 4 squared plus 3 squared, which is 13.” Maybe… 😂

  • @usama57926
    @usama57926 4 роки тому +1

    How to visualize function having independent variables greater than 2........🤔🤔🤔🤔

  • @maighaa
    @maighaa 4 роки тому

    Thank you. Nicely explained.

  • @Lucas-vj6jn
    @Lucas-vj6jn 4 роки тому +2

    I've been enjoying these videos a lot so thank you, but when you showed the contour plot of x^2-y^2 I thought that it had to be y^2-x^2. I took me an embarrassingly long time to realize that on the contour plot the x axis is vertical and y is horizontal. I understand that this is the standard in 3 dimensions but I think this is something worth identifying early since in the example you showed before the x and y axis are in their standard 2D positions and you never labeled x or y axis.

    • @НиколайТодоров-и9т
      @НиколайТодоров-и9т 3 роки тому

      Same here. I've also been a bit perplexed. Took me some time thinkering with Desmos in order ot understand what is wrong :)

  • @DaTNamEGaMinG
    @DaTNamEGaMinG 4 роки тому +1

    Damn, this video was sooo easy to understand, its incredible!

  • @mattaugusto1482
    @mattaugusto1482 2 роки тому +2

    It is a SADDLE!

  • @nilsmogensen6432
    @nilsmogensen6432 3 роки тому +1

    I think this is amazing tnx!

  • @eisomouwen4767
    @eisomouwen4767 3 роки тому +1

    Great video, it was really helpful! keep it up!

  • @olivermartin3730
    @olivermartin3730 2 роки тому

    Can you graph 3d relations in the form y=x=z ?

  • @mohitrana2332
    @mohitrana2332 28 днів тому

    Sir help me in graph of 3 variable functions

  • @gtagamer6962
    @gtagamer6962 3 роки тому +1

    You are cool sir peace be upon u----------salam💗🇧🇩

  • @Exploworld1559
    @Exploworld1559 4 роки тому

    Nicely explained

  • @amanbisht4701
    @amanbisht4701 3 роки тому

    Quality content. Thank You brother.👌

  • @RamuSingh-mq6my
    @RamuSingh-mq6my 4 роки тому

    Please tell me best book of calculus thanks

  • @김은영-d7j
    @김은영-d7j Рік тому +2

    X+Y=RETURNING
    JESUS ONLY TO
    BEGIN NEW?~

  • @momilijaz271
    @momilijaz271 4 роки тому

    keep up the good work.

  • @xiu8548
    @xiu8548 4 роки тому

    I imagine better of how vectors use in GPS after I see this...not all sure yet...but maybe...really make sense

  • @vivideradicator
    @vivideradicator 4 роки тому

    Great video, but the audio quality and the echo kill me sometimes.

  • @tommyhuffman7499
    @tommyhuffman7499 4 роки тому

    Very helpful :)

  • @abdurrahmanidrisofficial
    @abdurrahmanidrisofficial 4 роки тому

    Good explanation Trefor :))
    I got it.

  • @kalengray4073
    @kalengray4073 Рік тому

    im proud of myself! i guessed the equation!!! *happy*

  • @baqeralzaki9234
    @baqeralzaki9234 4 роки тому

    Like and Subscription for this great channel. I love your videos and your passion. Please continue what you are doing.
    All the best for you.

  • @georgeninan5330
    @georgeninan5330 Рік тому

    # recall your caveat that as the final letter in the latin alphabet, ie, Z, is pronounced as zed in canada and across anglosphere, except in usa, you would continue to say zed rather than zee .....

  • @rahdar2008
    @rahdar2008 4 роки тому +2

    on UA-cam good video always have very little views.

  • @pablogh1204
    @pablogh1204 5 років тому +1

    You should put a representation of a function of 4 variables in space with colors and everything, analogous to the representation of a 3d object in the plane.

  • @AlessandroZir
    @AlessandroZir 7 місяців тому

    👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻

  • @blugreen99
    @blugreen99 6 місяців тому

    Chalk is obsolete.

  • @yogesh1px
    @yogesh1px 3 роки тому

    What is the graph plotter used in this video

  • @ArnoldSommerfeld
    @ArnoldSommerfeld Рік тому

    Dinosaur tech. With Mathematica's ability to draw 3-D plots, contour plots are obsolete, except perhaps when necessary to read older literature.

    • @santiagoduarte4701
      @santiagoduarte4701 6 місяців тому

      It's actually really useful to understand the maths of multivariable calculus

  • @atpTUBE
    @atpTUBE 2 роки тому

    Oğlum neden bu kadar hızlı konuşuyon ya

  • @dominiccirineo1587
    @dominiccirineo1587 Рік тому

    I love your videos!!! But as an American math-student, for the love of God, please stop calling it "zed" xD