Visualizing Multi-variable Functions with Contour Plots

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  • เผยแพร่เมื่อ 29 ธ.ค. 2024

ความคิดเห็น •

  • @mrbrafi9006
    @mrbrafi9006 3 ปีที่แล้ว +43

    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.

  • @sAiTAMa19478
    @sAiTAMa19478 3 ปีที่แล้ว +6

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

  • @udayprakashsoni6304
    @udayprakashsoni6304 4 ปีที่แล้ว +29

    Excellent way of explaining the Contours. Really liked it !

  • @tomasblazek8531
    @tomasblazek8531 2 ปีที่แล้ว +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.”

  • @youssefdirani
    @youssefdirani 3 ปีที่แล้ว +77

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

  • @RandomGameCaps
    @RandomGameCaps 7 หลายเดือนก่อน +1

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

  • @DeepakSingh-uf5vv
    @DeepakSingh-uf5vv 3 ปีที่แล้ว +4

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

  • @songohan393
    @songohan393 4 ปีที่แล้ว +4

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

  • @shutupimlearning
    @shutupimlearning 2 ปีที่แล้ว +1

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

  • @Mark-c9i
    @Mark-c9i 2 หลายเดือนก่อน

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

  • @theleviathan3902
    @theleviathan3902 ปีที่แล้ว +1

    Think it's really cool that the contours are hyperbolas

  • @Tsoenyana
    @Tsoenyana 2 หลายเดือนก่อน

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

  • @m.venkadesen9037
    @m.venkadesen9037 2 ปีที่แล้ว +1

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

  • @WalterHarding-m7l
    @WalterHarding-m7l 9 วันที่ผ่านมา

    Great presentations. Could you present a series on geometric algebra? Your insight would be invaluable.

  • @DiegoMathemagician
    @DiegoMathemagician 5 ปีที่แล้ว +10

    i love your videos :) thank you for doing this

  • @andrerossa8553
    @andrerossa8553 2 ปีที่แล้ว

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

  • @diegobravo641
    @diegobravo641 2 หลายเดือนก่อน

    Incredibly useful. Thanks!

  • @raphaeldayan
    @raphaeldayan 4 ปีที่แล้ว +1

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

  • @srivatsavavuppala1008
    @srivatsavavuppala1008 2 ปีที่แล้ว

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

  • @alkankondo89
    @alkankondo89 5 ปีที่แล้ว +5

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

  • @helawlodar9070
    @helawlodar9070 23 วันที่ผ่านมา

    thank you! it was very helpful, i really appreciate it!

  • @rirhassan6355
    @rirhassan6355 3 ปีที่แล้ว +4

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

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +2

      Glad it helped!

  • @sumers9396
    @sumers9396 3 ปีที่แล้ว +1

    very useful explanation, thank you!

  • @mahrmussie5681
    @mahrmussie5681 ปีที่แล้ว +1

    Great video, easy to visualize 3D

  • @venjaminschuster2797
    @venjaminschuster2797 3 ปีที่แล้ว +1

    amazingly explained! Thank you very much!

  • @farhadkazemi4431
    @farhadkazemi4431 3 ปีที่แล้ว +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

  • @ahmedamr1124
    @ahmedamr1124 9 หลายเดือนก่อน

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

  • @DaTNamEGaMinG
    @DaTNamEGaMinG 4 ปีที่แล้ว +1

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

  • @nikhilgupta7482
    @nikhilgupta7482 4 ปีที่แล้ว +1

    very nice explanation...with visualisation

  • @tomtackett2853
    @tomtackett2853 6 หลายเดือนก่อน +2

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

  • @bharathbn9225
    @bharathbn9225 4 ปีที่แล้ว

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

  • @Irfan-ei7yv
    @Irfan-ei7yv 2 ปีที่แล้ว +1

    Well explained!

  • @MJsMoonwalker4life
    @MJsMoonwalker4life 4 ปีที่แล้ว +1

    Short and to the point :) thanks !

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว

      You're welcome!

  • @nadaaliganoun3284
    @nadaaliganoun3284 ปีที่แล้ว

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

  • @AnilKumarnn
    @AnilKumarnn 5 หลายเดือนก่อน

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

  • @eisomouwen4767
    @eisomouwen4767 4 ปีที่แล้ว +1

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

  • @citiesinspace
    @citiesinspace 5 ปีที่แล้ว +2

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

  • @sarachaudhary9755
    @sarachaudhary9755 2 หลายเดือนก่อน +1

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

  • @AdilKhan-we3wb
    @AdilKhan-we3wb 4 ปีที่แล้ว

    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

  • @MuhammadWaqas-wj4dh
    @MuhammadWaqas-wj4dh ปีที่แล้ว

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

  • @maighaa
    @maighaa 4 ปีที่แล้ว

    Thank you. Nicely explained.

  • @BibliophilicBlurb
    @BibliophilicBlurb ปีที่แล้ว

    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

  • @continnum_radhe-radhe
    @continnum_radhe-radhe 3 ปีที่แล้ว +1

    Thank you sir 🔥

  • @halihammer
    @halihammer 2 ปีที่แล้ว +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

  • @TS-qv1jf
    @TS-qv1jf 3 ปีที่แล้ว +1

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

  • @hemas3163
    @hemas3163 4 ปีที่แล้ว +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 ปีที่แล้ว

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

  • @amanbisht4701
    @amanbisht4701 4 ปีที่แล้ว

    Quality content. Thank You brother.👌

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว

      My pleasure:)

  • @gtagamer6962
    @gtagamer6962 3 ปีที่แล้ว +1

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

  • @HettyPatel
    @HettyPatel 3 ปีที่แล้ว +1

    thank you!

  • @sinyolotzzz
    @sinyolotzzz 2 ปีที่แล้ว

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

  • @nilsmogensen6432
    @nilsmogensen6432 3 ปีที่แล้ว +1

    I think this is amazing tnx!

  • @tuongnguyen9391
    @tuongnguyen9391 4 ปีที่แล้ว +1

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

  • @olivermartin3730
    @olivermartin3730 2 ปีที่แล้ว

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

  • @jlpsinde
    @jlpsinde 3 ปีที่แล้ว +1

    Very good

  • @discoveryofphysics9303
    @discoveryofphysics9303 3 ปีที่แล้ว +1

    Thanks it helps.

  • @momilijaz271
    @momilijaz271 4 ปีที่แล้ว

    keep up the good work.

  • @usama57926
    @usama57926 4 ปีที่แล้ว +1

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

  • @Exploworld1559
    @Exploworld1559 4 ปีที่แล้ว

    Nicely explained

  • @김은영-d7j
    @김은영-d7j 2 ปีที่แล้ว +2

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

  • @PriyankaKumari-xc7zh
    @PriyankaKumari-xc7zh 3 ปีที่แล้ว +1

    Thsnks

  • @mattaugusto1482
    @mattaugusto1482 2 ปีที่แล้ว +2

    It is a SADDLE!

  • @Lucas-vj6jn
    @Lucas-vj6jn 4 ปีที่แล้ว +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 4 ปีที่แล้ว

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

  • @abdurrahmanidrisofficial
    @abdurrahmanidrisofficial 4 ปีที่แล้ว

    Good explanation Trefor :))
    I got it.

  • @bbq2024lovely
    @bbq2024lovely 4 ปีที่แล้ว

    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.

  • @mohitrana2332
    @mohitrana2332 2 หลายเดือนก่อน

    Sir help me in graph of 3 variable functions

  • @RamuSingh-mq6my
    @RamuSingh-mq6my 5 ปีที่แล้ว

    Please tell me best book of calculus thanks

  • @tommyhuffman7499
    @tommyhuffman7499 4 ปีที่แล้ว

    Very helpful :)

  • @blugreen99
    @blugreen99 8 หลายเดือนก่อน

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

  • @xiu8548
    @xiu8548 4 ปีที่แล้ว

    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 ปีที่แล้ว

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

  • @yogesh1px
    @yogesh1px 3 ปีที่แล้ว

    What is the graph plotter used in this video

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว

      I used MATLAB

  • @AlessandroZir
    @AlessandroZir 8 หลายเดือนก่อน

    👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻

  • @rahdar2008
    @rahdar2008 4 ปีที่แล้ว +2

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

    • @ajinkyarathod5180
      @ajinkyarathod5180 4 ปีที่แล้ว

      And good comments have very little likes indeed

  • @georgeninan5330
    @georgeninan5330 ปีที่แล้ว

    # 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 .....

  • @kalengray4073
    @kalengray4073 ปีที่แล้ว

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

  • @blugreen99
    @blugreen99 8 หลายเดือนก่อน

    Chalk is obsolete.

  • @pablogh1204
    @pablogh1204 5 ปีที่แล้ว +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.

  • @ArnoldSommerfeld
    @ArnoldSommerfeld ปีที่แล้ว

    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 8 หลายเดือนก่อน

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

  • @atpTUBE
    @atpTUBE 3 ปีที่แล้ว

    Oğlum neden bu kadar hızlı konuşuyon ya

  • @dominiccirineo1587
    @dominiccirineo1587 ปีที่แล้ว

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