Visualizing Multi-variable Functions with Contour Plots

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  • čas přidán 28. 08. 2024

Komentáře • 81

  • @mrbrafi9006
    @mrbrafi9006 Před 2 lety +37

    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 Před 3 lety +66

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

  • @sAiTAMa19478
    @sAiTAMa19478 Před 2 lety +2

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

  • @udayprakashsoni6304
    @udayprakashsoni6304 Před 4 lety +28

    Excellent way of explaining the Contours. Really liked it !

  • @tomasblazek8531
    @tomasblazek8531 Před rokem +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 Před 3 měsíci

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

  • @DeepakSingh-uf5vv
    @DeepakSingh-uf5vv Před 3 lety +4

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

  • @songohan393
    @songohan393 Před 4 lety +4

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

  • @shutupimlearning
    @shutupimlearning Před 2 lety +1

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

  • @m.venkadesen9037
    @m.venkadesen9037 Před 2 lety +1

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

  • @alkankondo89
    @alkankondo89 Před 4 lety +5

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

  • @farhadkazemi4431
    @farhadkazemi4431 Před 3 lety +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

  • @rirhassan6355
    @rirhassan6355 Před 3 lety +4

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

  • @DiegoMathemagician
    @DiegoMathemagician Před 4 lety +10

    i love your videos :) thank you for doing this

  • @ahmedamr1124
    @ahmedamr1124 Před 5 měsíci

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

  • @theleviathan3902
    @theleviathan3902 Před rokem +1

    Think it's really cool that the contours are hyperbolas

  • @mahrmussie5681
    @mahrmussie5681 Před rokem +1

    Great video, easy to visualize 3D

  • @andrerossa8553
    @andrerossa8553 Před 2 lety

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

  • @raphaeldayan
    @raphaeldayan Před 4 lety +1

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

  • @nikhilgupta7482
    @nikhilgupta7482 Před 4 lety +1

    very nice explanation...with visualisation

  • @DaTNamEGaMinG
    @DaTNamEGaMinG Před 4 lety +1

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

  • @venjaminschuster2797
    @venjaminschuster2797 Před 2 lety +1

    amazingly explained! Thank you very much!

  • @sumers9396
    @sumers9396 Před 2 lety +1

    very useful explanation, thank you!

  • @nadaaliganoun3284
    @nadaaliganoun3284 Před rokem

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

  • @srivatsavavuppala1008
    @srivatsavavuppala1008 Před 2 lety

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

  • @MJsMoonwalker4life
    @MJsMoonwalker4life Před 3 lety +1

    Short and to the point :) thanks !

  • @Irfan-ei7yv
    @Irfan-ei7yv Před rokem +1

    Well explained!

  • @TS-qv1jf
    @TS-qv1jf Před 2 lety +1

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

  • @nilsmogensen6432
    @nilsmogensen6432 Před 3 lety +1

    I think this is amazing tnx!

  • @eisomouwen4767
    @eisomouwen4767 Před 3 lety +1

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

  • @tomtackett2853
    @tomtackett2853 Před 2 měsíci +2

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

  • @continnum_radhe-radhe
    @continnum_radhe-radhe Před 2 lety +1

    Thank you sir 🔥

  • @mattaugusto1482
    @mattaugusto1482 Před 2 lety +2

    It is a SADDLE!

  • @bharathbn9225
    @bharathbn9225 Před 4 lety

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

  • @citiesinspace4864
    @citiesinspace4864 Před 4 lety +2

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

  • @hemas3163
    @hemas3163 Před 4 lety +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 Před 4 lety

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

  • @discoveryofphysics9303
    @discoveryofphysics9303 Před 2 lety +1

    Thanks it helps.

  • @HettyPatel
    @HettyPatel Před 3 lety +1

    thank you!

  • @maighaa
    @maighaa Před 4 lety

    Thank you. Nicely explained.

  • @halihammer
    @halihammer Před 2 lety +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

  • @AnilKumarnn
    @AnilKumarnn Před měsícem

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

  • @AdilKhan-we3wb
    @AdilKhan-we3wb Před 3 lety

    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

  • @gtagamer6962
    @gtagamer6962 Před 3 lety +1

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

  • @Lucas-vj6jn
    @Lucas-vj6jn Před 4 lety +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.

    • @user-fh1do9xb4n
      @user-fh1do9xb4n Před 3 lety

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

  • @tuongnguyen9391
    @tuongnguyen9391 Před 4 lety +1

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

  • @usama57926
    @usama57926 Před 4 lety +1

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

  • @jlpsinde
    @jlpsinde Před 3 lety +1

    Very good

  • @amanbisht4701
    @amanbisht4701 Před 3 lety

    Quality content. Thank You brother.👌

  • @BibliophilicBlurb
    @BibliophilicBlurb Před rokem

    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

  • @MuhammadWaqas-wj4dh
    @MuhammadWaqas-wj4dh Před rokem

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

  • @Exploworld1559
    @Exploworld1559 Před 4 lety

    Nicely explained

  • @PriyankaKumari-xc7zh
    @PriyankaKumari-xc7zh Před 3 lety +1

    Thsnks

  • @blugreen99
    @blugreen99 Před 4 měsíci

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

  • @momilijaz271
    @momilijaz271 Před 4 lety

    keep up the good work.

  • @baqeralzaki9234
    @baqeralzaki9234 Před 4 lety

    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.

  • @sinyolotzzz
    @sinyolotzzz Před 2 lety

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

  • @abdurrahmanidrisofficial

    Good explanation Trefor :))
    I got it.

  • @user-mg1hz2qm8k
    @user-mg1hz2qm8k Před rokem +2

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

  • @tommyhuffman7499
    @tommyhuffman7499 Před 4 lety

    Very helpful :)

  • @olivermartin3730
    @olivermartin3730 Před rokem

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

  • @pablogh1204
    @pablogh1204 Před 4 lety +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.

  • @RamuSingh-mq6my
    @RamuSingh-mq6my Před 4 lety

    Please tell me best book of calculus thanks

  • @kalengray4073
    @kalengray4073 Před rokem

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

  • @xiu8548
    @xiu8548 Před 4 lety

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

  • @rahdar2008
    @rahdar2008 Před 4 lety +2

    on CZcams good video always have very little views.

  • @vivideradicator
    @vivideradicator Před 4 lety

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

  • @georgeninan5330
    @georgeninan5330 Před rokem

    # 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 .....

  • @AlessandroZir
    @AlessandroZir Před 4 měsíci

    👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻

  • @yogesh1px
    @yogesh1px Před 3 lety

    What is the graph plotter used in this video

  • @dominiccirineo1587
    @dominiccirineo1587 Před 10 měsíci

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

  • @blugreen99
    @blugreen99 Před 4 měsíci

    Chalk is obsolete.

  • @ArnoldSommerfeld
    @ArnoldSommerfeld Před rokem

    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 Před 4 měsíci

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

  • @atpTUBE
    @atpTUBE Před 2 lety

    Oğlum neden bu kadar hızlı konuşuyon ya