Visualizing Multi-variable Functions with Contour Plots

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  • Опубликовано: 11 окт 2024

Комментарии • 83

  • @mrbrafi9006
    @mrbrafi9006 2 года назад +39

    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 года назад +68

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

  • @udayprakashsoni6304
    @udayprakashsoni6304 4 года назад +28

    Excellent way of explaining the Contours. Really liked it !

  • @tomasblazek8531
    @tomasblazek8531 2 года назад +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 4 месяца назад +1

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

  • @sAiTAMa19478
    @sAiTAMa19478 3 года назад +2

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

  • @DeepakSingh-uf5vv
    @DeepakSingh-uf5vv 3 года назад +4

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

  • @songohan393
    @songohan393 4 года назад +4

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

  • @shutupimlearning
    @shutupimlearning 2 года назад +1

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

  • @theleviathan3902
    @theleviathan3902 Год назад +1

    Think it's really cool that the contours are hyperbolas

  • @m.venkadesen9037
    @m.venkadesen9037 2 года назад +1

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

  • @farhadkazemi4431
    @farhadkazemi4431 3 года назад +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

  • @alkankondo89
    @alkankondo89 4 года назад +5

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

  • @DiegoMathemagician
    @DiegoMathemagician 5 лет назад +10

    i love your videos :) thank you for doing this

  • @andrerossa8553
    @andrerossa8553 2 года назад

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

  • @raphaeldayan
    @raphaeldayan 4 года назад +1

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

  • @mahrmussie5681
    @mahrmussie5681 Год назад +1

    Great video, easy to visualize 3D

  • @ahmedamr1124
    @ahmedamr1124 6 месяцев назад

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

  • @rirhassan6355
    @rirhassan6355 3 года назад +4

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

    • @DrTrefor
      @DrTrefor  3 года назад +2

      Glad it helped!

  • @sarachaudhary9755
    @sarachaudhary9755 5 дней назад +1

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

  • @Irfan-ei7yv
    @Irfan-ei7yv Год назад +1

    Well explained!

  • @nikhilgupta7482
    @nikhilgupta7482 4 года назад +1

    very nice explanation...with visualisation

  • @venjaminschuster2797
    @venjaminschuster2797 2 года назад +1

    amazingly explained! Thank you very much!

  • @sumers9396
    @sumers9396 2 года назад +1

    very useful explanation, thank you!

  • @srivatsavavuppala1008
    @srivatsavavuppala1008 2 года назад

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

  • @continnum_radhe-radhe
    @continnum_radhe-radhe 2 года назад +1

    Thank you sir 🔥

  • @MJsMoonwalker4life
    @MJsMoonwalker4life 4 года назад +1

    Short and to the point :) thanks !

  • @HettyPatel
    @HettyPatel 3 года назад +1

    thank you!

  • @nadaaliganoun3284
    @nadaaliganoun3284 Год назад

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

  • @discoveryofphysics9303
    @discoveryofphysics9303 3 года назад +1

    Thanks it helps.

  • @DaTNamEGaMinG
    @DaTNamEGaMinG 4 года назад +1

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

  • @tomtackett2853
    @tomtackett2853 3 месяца назад +2

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

  • @PriyankaKumari-xc7zh
    @PriyankaKumari-xc7zh 3 года назад +1

    Thsnks

  • @TS-qv1jf
    @TS-qv1jf 2 года назад +1

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

  • @bharathbn9225
    @bharathbn9225 4 года назад

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

  • @jlpsinde
    @jlpsinde 3 года назад +1

    Very good

  • @hemas3163
    @hemas3163 4 года назад +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 года назад

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

  • @maighaa
    @maighaa 4 года назад

    Thank you. Nicely explained.

  • @AnilKumarnn
    @AnilKumarnn 3 месяца назад

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

  • @tuongnguyen9391
    @tuongnguyen9391 4 года назад +1

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

  • @nilsmogensen6432
    @nilsmogensen6432 3 года назад +1

    I think this is amazing tnx!

  • @eisomouwen4767
    @eisomouwen4767 3 года назад +1

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

  • @gtagamer6962
    @gtagamer6962 3 года назад +1

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

  • @Lucas-vj6jn
    @Lucas-vj6jn 4 года назад +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 года назад

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

  • @mattaugusto1482
    @mattaugusto1482 2 года назад +2

    It is a SADDLE!

  • @AdilKhan-we3wb
    @AdilKhan-we3wb 3 года назад

    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

  • @citiesinspace
    @citiesinspace 4 года назад +2

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

  • @Exploworld1559
    @Exploworld1559 4 года назад

    Nicely explained

  • @halihammer
    @halihammer 2 года назад +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

  • @amanbisht4701
    @amanbisht4701 3 года назад

    Quality content. Thank You brother.👌

  • @momilijaz271
    @momilijaz271 4 года назад

    keep up the good work.

  • @MuhammadWaqas-wj4dh
    @MuhammadWaqas-wj4dh Год назад

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

  • @blugreen99
    @blugreen99 5 месяцев назад

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

  • @usama57926
    @usama57926 4 года назад +1

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

  • @baqeralzaki9234
    @baqeralzaki9234 4 года назад

    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.

  • @김은영-d7j
    @김은영-d7j Год назад +2

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

  • @BibliophilicBlurb
    @BibliophilicBlurb Год назад

    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

  • @AlessandroZir
    @AlessandroZir 6 месяцев назад

    👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻

  • @tommyhuffman7499
    @tommyhuffman7499 4 года назад

    Very helpful :)

  • @abdurrahmanidrisofficial
    @abdurrahmanidrisofficial 4 года назад

    Good explanation Trefor :))
    I got it.

  • @olivermartin3730
    @olivermartin3730 Год назад

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

  • @sinyolotzzz
    @sinyolotzzz 2 года назад

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

  • @mohitrana2332
    @mohitrana2332 5 дней назад

    Sir help me in graph of 3 variable functions

  • @vivideradicator
    @vivideradicator 4 года назад

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

  • @xiu8548
    @xiu8548 4 года назад

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

  • @RamuSingh-mq6my
    @RamuSingh-mq6my 4 года назад

    Please tell me best book of calculus thanks

  • @pablogh1204
    @pablogh1204 5 лет назад +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.

  • @rahdar2008
    @rahdar2008 4 года назад +2

    on RUclips good video always have very little views.

  • @kalengray4073
    @kalengray4073 Год назад

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

  • @georgeninan5330
    @georgeninan5330 Год назад

    # 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 .....

  • @yogesh1px
    @yogesh1px 3 года назад

    What is the graph plotter used in this video

  • @blugreen99
    @blugreen99 5 месяцев назад

    Chalk is obsolete.

  • @ArnoldSommerfeld
    @ArnoldSommerfeld Год назад

    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 5 месяцев назад

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

  • @atpTUBE
    @atpTUBE 2 года назад

    Oğlum neden bu kadar hızlı konuşuyon ya

  • @dominiccirineo1587
    @dominiccirineo1587 Год назад

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