Visualizing Multi-variable Functions with Contour Plots

[@mrbrafi9006]

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]

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

[@udayprakashsoni6304]

Excellent way of explaining the Contours. Really liked it !

[@sAiTAMa19478]

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

[@tomasblazek8531]

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.”

[@songohan393]

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

[@vishalvarakhedkar8816]

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

[@DeepakSingh-uf5vv]

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

[@alkankondo89]

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

[@shutupimlearning]

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

[@DiegoMathemagician]

i love your videos :) thank you for doing this

[@m.venkadesen9037]

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

[@farhadkazemi4431]

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

[@theleviathan3902]

Think it's really cool that the contours are hyperbolas

[@rirhassan6355]

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

[@DrTrefor]

Glad it helped!

[@ahmedamr1124]

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

[@andrerossa8553]

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

[@mahrmussie5681]

Great video, easy to visualize 3D

[@raphaeldayan]

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

[@nikhilgupta7482]

very nice explanation...with visualisation

[@venjaminschuster2797]

amazingly explained! Thank you very much!

[@DaTNamEGaMinG]

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

[@sumers9396]

very useful explanation, thank you!

[@tomtackett2853]

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

[@mattaugusto1482]

It is a SADDLE!

[@Irfan-ei7yv]

Well explained!

[@MJsMoonwalker4life]

Short and to the point :) thanks !

[@DrTrefor]

You're welcome!

[@srivatsavavuppala1008]

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

[@nadaaliganoun3284]

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

[@TS-qv1jf]

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

[@nilsmogensen6432]

I think this is amazing tnx!

[@HettyPatel]

thank you!

[@bharathbn9225]

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

[@continnum_radhe-radhe]

Thank you sir 🔥

[@eisomouwen4767]

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

[@maighaa]

Thank you. Nicely explained.

[@discoveryofphysics9303]

Thanks it helps.

[@citiesinspace4864]

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

[@AnilKumarnn]

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

[@blugreen99]

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

[@jlpsinde]

Very good

[@gtagamer6962]

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

[@halihammer]

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

[@PriyankaKumari-xc7zh]

Thsnks

[@tuongnguyen9391]

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

[@hemas3163]

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

[@hyanbatista3281]

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

[@AdilKhan-we3wb]

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]

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

[@usama57926]

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

[@BibliophilicBlurb]

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

[@Exploworld1559]

Nicely explained

[@amanbisht4701]

Quality content. Thank You brother.👌

[@DrTrefor]

My pleasure:)

[@Lucas-vj6jn]

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]

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

[@momilijaz271]

keep up the good work.

[@abdurrahmanidrisofficial]

Good explanation Trefor :)) I got it.

[@sinyolotzzz]

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

[@baqeralzaki9234]

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.

[@user-mg1hz2qm8k]

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

[@tommyhuffman7499]

Very helpful :)

[@RamuSingh-mq6my]

Please tell me best book of calculus thanks

[@olivermartin3730]

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

[@AlessandroZir]

👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻

[@xiu8548]

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

[@kalengray4073]

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

[@pablogh1204]

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]

on KZbin good video always have very little views.

[@ajinkyarathod5180]

And good comments have very little likes indeed

[@vivideradicator]

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

[@georgeninan5330]

# 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]

What is the graph plotter used in this video

[@DrTrefor]

I used MATLAB

[@blugreen99]

Chalk is obsolete.

[@ArnoldSommerfeld]

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

[@santiagoduarte4701]

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

[@atpTUBE]

Oğlum neden bu kadar hızlı konuşuyon ya

[@dominiccirineo1587]

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