This guy is underrated for real. KZbin - throw him into recommendations.
@jmspiers3 жыл бұрын
I know... I recommend him all the time on Reddit.
@backstroke08102 жыл бұрын
True! He deserves way more subscription. He should prepare a booklet like statquest did but of his own. Would definitely buy it!
@aravind_selvam2 жыл бұрын
True!!
@supersql84063 жыл бұрын
This guy is super smart and he takes sophisticated concepts and explains it in a way where it's digestible without mocking the theory! What a great teacher!
@ragyakaul60272 жыл бұрын
I can't explain how grateful I am for your channel! I am doing an introductory machine learning course at Uni and it's extremely challenging as it's full of complex concepts and the basics aren't explored throughly. Many videos I came across on youtube were too overly simplified and only helped me very briefly to make sense of my course. However, your videos offer the perfect balance, you explore the complex maths and don't oversimplify it, but do so in a way that's easy to understand. I read through this concept several times before watching your video, but only now do I feel as if I TRULY understand it. I HIGHLY appreciate the work you do and look forward to supporting your channel.
@maged40872 жыл бұрын
same
@shusrutorishik81593 жыл бұрын
This has been simultaneously the simplest, most detailed and yet most concise explanation of this topic I've come across so far. Much appreciated! I hope you keep making awesome content!
@ritvikmath3 жыл бұрын
Glad it was helpful!
@friktogurg9242Ай бұрын
@@ritvikmath Is it possible to find w and b if you are not explicitly given constraints? Is it possible to find the values of w and b without explicitly solving the optimization problem? Can both be done through geometric intuition?
@sejmou Жыл бұрын
In case you're also having trouble figuring out how we arrive at k=1/||w|| from k * (w*w/||w||) = 1: remember that the dot product of any vector with itself is equal to its squared magnitude. Then, w*w can also be expressed as ||w||^2. ||w||^2/||w|| simplifies to just ||w||. Finally bring ||w|| to the other side by dividing the whole equation by ||w||, and you're done :) if you also have trouble understanding why exactly the dot product of any vector with itself is equal to its squared magnitude it also helps to know that the magnitude of a vector is the square root of the sum of squares of its components and that sqrt(x) * sqrt(x) = x I hope that somehow makes sense if you're struggling, surely took me a while to get that lol
@FootballIsLife009 ай бұрын
I almost forget this rule, thank you brother for saving my day
@mdrashadalhasanrony86942 ай бұрын
yes. w*w = ||w||*||w|| * cos 0 = (||w||)^2 angle is 0 degress because multiplying the same vectors
@KARINEMOOSE2 жыл бұрын
I'm a PhD student studying data mining and I just wanted commend you for this SUPERB explanation. I can't thank you enough for the explaining this so clearly. Keep up the excellent work!!
@tollesch_tieriesАй бұрын
THE BEST EXPLANATION of SVM on KZbin! And the whole internet! THANK YOU!
@vedantpuranik86192 жыл бұрын
This is the best and most comprehensible math video on hard margin SVM I have seen till date!
@FPrimeHD1618 Жыл бұрын
Just to add onto all the love, I'm a data scientist in marketing and you are my number one channel for reviewing concepts. You are a very talented individual!
@honeyBadger5823 жыл бұрын
That's what i've been waiting for! Thanks a lot. Great video!
@ritvikmath3 жыл бұрын
Glad it was helpful!
@suparnaprasad81878 күн бұрын
The best video I've watched on SVMs! Thank you so much!!
@ritvikmath5 күн бұрын
Wow, thank you!
@velevki2 жыл бұрын
You answered all the questions I had in mind without me even asking them to you. This was an amazing walkthrough. Thank you!
@lakhanpal19872 жыл бұрын
Great video on SVM. Simple to understand.
@srivatsa11933 жыл бұрын
This is the best and the most intuitive explanation for SVM. It is really hard for me to actually read research papers and understand what story each line of the equation is telling. But you made it soo intuitive. Thanks a ton! Please Please make more videos like this
@polarbear9862 жыл бұрын
I finally get svm after watching a lot of tutorial on KZbin. Clever explanation. Thank you
@Shaan11s6 ай бұрын
your videos are what allowed me to take a spring break vacation bro, saved me so much time thank you
@ritvikmath6 ай бұрын
Great to hear!
@stephonhenry-rerrie39972 жыл бұрын
I think this might be top 5 explanations of SVM mathematics all-time. Very well done
@pavelrozsypal89562 жыл бұрын
Another great video on SVM. As a mathematician I do appreciate your succinct yet accurate exposition not playing around with irrelevant details.
@more-uv4nl5 ай бұрын
this guy explained what my professors couldn't explain in 2 hours 😂😂😂
@prathamghavri6 ай бұрын
Thanks man great explaination , was trying to understand the math for 2 days , finally got it
@ritvikmath6 ай бұрын
Glad it helped!
@usmanabbas72 жыл бұрын
You and statquest are the perfect combination :) Thanks for all of your hardwork.
@chimetone6 ай бұрын
Best high-level explanation of SVMs out there, huge thanks
@ritvikmath6 ай бұрын
Glad it was helpful!
@gdivadnosdivad618510 ай бұрын
I love your channel. You explain difficult concepts that could be explained to my dear grandmother who never went to college. Excellent job sir! You should become a professor one day. You would be good.
@TheWhyNotSeries3 жыл бұрын
At 5:10, I don't get how you obtain K from the last simplification. Can you/someone please explain? Btw beautiful video!
@ritvikmath3 жыл бұрын
thanks! I did indeed kind of skip a step. The missing step is that the dot product of a vector with itself is the square of the magnitude of the vector. ie. w · w = ||w||^2
@TheWhyNotSeries3 жыл бұрын
@@ritvikmath right, thank you!!
@lisaxu18482 жыл бұрын
studying my masters in data science and this is a brilliant easy to understand explanation tying graphical and mathematical concepts - thank you!
@maheshsonawane8737 Жыл бұрын
🌟Magnificient🌟I actually understood this loss function in by watching once. Very nice explanation of math. I saw lot of other lectures but you cant understand math without graphical visualization.
@mindyquan31412 жыл бұрын
So simple, so clear!!! Wish all the teachers are like this!
@yangwang96883 жыл бұрын
Very easy to follow the concept! Thanks for this wonderful video! Looking forward to seeing next video!
@clifftondouangdara62492 жыл бұрын
Thank you so much for this video! I am learning about SVM now and your tutorial perfectly breaks it down for me!
@techienomadiso8970 Жыл бұрын
This is a serious good stuff video. I have not seen a better svm explanation
@pedrocolangelo5844 Жыл бұрын
Once again, ritvikmath being a lifesaver for me. If I understand the underlying math behind this concepts, it is because of him
@WassupCarlton5 ай бұрын
This is giving "Jacked Kal Penn clearly explains spicy math" and | am HERE for it
@nikkatalnikov3 жыл бұрын
Great video as usual! A possible side note - I find 3d picture even more intuitive. Adding z-direction which is basically can be shrunk to [-1;1] is our class prediction dimension and x1 x2 are feature dimensions. Hence, the margin hyperplane "sits" exactly on (x1; x1; 0) This is also helpful for further explanation of what SVM kernels are and why kernel alters the norms (e.g. distances) between data points, but not the data points themselves.
@nishanttailor47862 жыл бұрын
Just Amazing Clarity of Topics!!
@zz-94633 жыл бұрын
very informative and helpful video to help understand the SVM! Thanks for such a great video! You deserve more subscribers
@houyao21473 жыл бұрын
It's so easy to understand thi s math stuff! Best explanation ever in such a short video.
@germinchan2 жыл бұрын
This is very clearly defined. Thank you. But could someone explain to me what w is? How can I visualize it and calculate it.
@ifyifemanima3972 Жыл бұрын
Thank you for this video. Thanks for simplifying SVM.
@AchrafMessaoudi-d3o8 ай бұрын
you are my savior
@madshyom62572 жыл бұрын
Bro, you're a superhero
@sukritgarg31755 ай бұрын
Holy shit what a banger of a video this is
@himanshu10563 жыл бұрын
Best video on large margin classifiers 👍
@borisshpilyuck35604 ай бұрын
Great video ! Why we can assume that right hand side of wx - b in those three lines is 1, 0, -1 ?
@SESHUNITR2 жыл бұрын
very informative and intuitive
@nickmillican223 жыл бұрын
Question on the notation. The image shows that the vector between the central line and decision line is w. So, I think, that w is the length of the decision boundary. But then we go on to show that the length of the decision boundary is k=1/||w||. So I'm not clear on what w (or k, for that matter) are actually representing.
@WassupCarlton5 ай бұрын
I too expected k to equal the length of that vector w :-/
@lemongrass3628 Жыл бұрын
You are an amazing elucidator👍
@jingzhouzhao86094 ай бұрын
thank you for your genius explanation. At 5:11, before getting the value k, the equation k * ( w * w) / (magnitude of w) = 1 contains w * w, why the output k doesn't have w in the end.
@junderfitting87172 жыл бұрын
Terrific tutorial, save me 5:12 to simplify k*(W*W)/||w|| =1, W means vector w W*W = ||w||*||w||*cos 0; cos 0 == 1; Thus k*(||w||*||w||*1)/||w|| = 1; k = 1/||w|| vector x is actually a point (x0, x1, ..., xn) that on the Decision Boundary, i.e. vector x starts at the original points and ends at the D.B.
@ketankumar56898 ай бұрын
why we are multiplying unit vector of w as w is normal to the plane ? is the vector x also normal to the plane along the direction of w ? but, x is a point on that plane which in that case k will be 0. I am confused . Can you please simplify ?
@emid68112 жыл бұрын
Such a clear explanation! Thank you!!!
@acidaly2 жыл бұрын
Equation for points on margins are: w.x - b = 1 w.x - b = -1 That means we have fixed our margin to "2" (from -1 to +1). But our problem is to maximize the margin, so shouldn't we keep it a variable? like: w.x - b = +r w.x - b = -r where maximizing r is our goal?
@davud7525 Жыл бұрын
Have you figured it out?
@asharnk Жыл бұрын
What an amazing video bro. Keep going.
@salzshady87943 жыл бұрын
Could you do the math behind each Machine learning algorithm, also would you be doing Neural Networks in the future?
@marthalanaveen3 жыл бұрын
along with the assumptions of supervised and un-supervised ML algorithms that deals specifically with structured data.
@ritvikmath3 жыл бұрын
Yup neural nets are coming up
@jjabrahamzjjabrhamaz15683 жыл бұрын
@@ritvikmath CNN's and Super Resolution PLEASE PLEASE PLEASE
@sorrefly3 жыл бұрын
I'm not sure but I think you forgot to say that in order to have margin = +-1 you should scale multiplying constants to w and b. Otherwise I don't explain how we could have distance of 1 from the middle The rest of the video is awesome, thank you very much :)
@rndtnt2 жыл бұрын
Hi, how exactly did you choose 1 and -1, the values for wx -b where x is a support vector? wx-b = 0 for x on the separating line makes sense however. Could it have other values?
@BlueDopamine2 жыл бұрын
I am very happy that I found Your YT Channel Awsome Videos I was unable to Understand SVM UntilNow !!!!
@SreehariNarasipur Жыл бұрын
Excellent explanation Ritvik
@TheOilDoctor11 ай бұрын
great, concise explanation !
@Cobyboss12345 Жыл бұрын
you are the smartest person I know
@wildbear7877 Жыл бұрын
You explained this topic perfectly! Amazing!
@ritvikmath Жыл бұрын
Glad you think so!
@zhiyuzhang70968 ай бұрын
bro is a savior
@dcodsp_ Жыл бұрын
Thanks for such brilliant explanation really appreciate your work!!
@Jayanth_mohan2 жыл бұрын
This really helped me learn the math of svm thanks !!
@fengjeremy78782 жыл бұрын
Hi ritvik! I wonder what is the geometric intuition of the vector w? We want to minimize ||w||, but what does w look like on the graph?
@akashnayak61442 жыл бұрын
Loved it!
@Snaqex8 ай бұрын
Youre so unbelieveble good in explaining :)
@jaibhambra2 жыл бұрын
Absolutely amazing channel! You're a great teacher
@ananya___16252 жыл бұрын
Awesome explanation I've a doubt, (might be silly) How did people come up with W.X-b=1 and W.X-b=-1?does 1, -1 in these equations tell us something? For some reason, I'm unable to get the intuition of 1,-1 in the above equations.(although i understood that they are parallel lines) Someone pls help me
@pauledam217411 ай бұрын
I have the same question.
@mohamedahmedfathy84Ай бұрын
maybe an assumption so we say that the margin is the magnitude of w so easily interpreted? i dont know really
@TheCsePower2 жыл бұрын
You should mention that your W is an arbitrary direction vector of the hyperplane. (it is not the same size as the margin)
@ShakrinJahanMozumder5 күн бұрын
Great Work! Just one confusion; why minus b? Your response would be highly appreciated!
@badermuteb45523 жыл бұрын
Thank you so much. This is what i have been looking for so long time. would you please do the behind other ML and DL algorithms.
@NiladriBhattacharjya Жыл бұрын
Amazing explanation!
@mykhailoseniutovych60994 ай бұрын
Great video, with easy to follow explanation. However, you formulated the optimization problem that needs to be solved by the end of thevideo. The most ineteresting question now is how to actually solve this optimization problem. Can you give some directions on how this problem is actually solved?
@ht22393 жыл бұрын
You explained this topic really well and helped me a lot! Great work!
@YonatanDan-z3m Жыл бұрын
phenomenal
@emmanuelibrahim64272 жыл бұрын
Gifted teacher!
@Pazurrr15012 жыл бұрын
BRILLIANT!
@learn50813 жыл бұрын
very helpful! I always wanted to learn math behind the model! thanks!
@akshaypai20963 жыл бұрын
Can you please do videos on normal to a plane, distance of a point from a plane and other basic aspects of linear algebra... Big fan and an early subscriber🙏🏻keep growing!
@ritvikmath3 жыл бұрын
That's a good idea; I've been thinking of next videos and these linear algebra basics would be likely helpful in understanding the eventually more difficult concepts. Thanks for the input!
@akshaypai20963 жыл бұрын
@@ritvikmath I'm a big fan of your content since I saw your videos on time series AR and MAs....now I'm going through the math behind ML, but given I have a business degree at my undergrad I don't have the intuition behind lot of very basic stuff hence your video series on those would be great help for people like me👍🏻Always happy to help
@trishulcurtis18102 жыл бұрын
Great explanation!
@godse543 жыл бұрын
Pls also make one for svm regression.. you are amazing
@fatriantobong7 ай бұрын
maybe the question is, what algorithm svm uses to look for the weight or coefficients of hyperplane?
@naengmyeonkulukulu Жыл бұрын
Hi all, at 5:14, how does he get from k (W.W/|| W ||) =1 to k = 1/|| W ||? Appreciate if anyone can enlighten me
@raulfernandez93707 ай бұрын
|| W || = [W.W]^{1/2} so, square everything to get rid of the square root in the denominator and there you have it.
@debirath49168 ай бұрын
it is a great video to understand svm. but the equation for hard margin W * X + B >= 1 (is it + or -). In video we are saying it is -
@shubhamguptamusic3 жыл бұрын
woww what an explanation..........great
@ritvikmath3 жыл бұрын
Glad you liked it
@joyc57842 жыл бұрын
On the other references they use the plus (+) sign on w x - b = 0. Why on your example this was changed to minus sign? w x - b = 0. or wx - b > 1. Hope you could answer. Thanks
@TheCsePower2 жыл бұрын
Great Viideo!. I found your notation for x to be quite confusing. I think the small x should be x11 x12 x13 to x1p. Say GPA is xi1 and MCAT is xi2. Then the student data for these two features will be: student 1(x11,x12) student 2 (x21, x22) student 3(x31,x32)
@akwagaiusakwajunior29032 жыл бұрын
How will the algorithm classify if an arbitrary observation lies within the hyperplane
@logicverse2 жыл бұрын
It is unclear how you derived the equations of planes. For instance, why it is w.x-b=1 and not w.x-b=2?
@maurosobreira86952 жыл бұрын
Amazing teaching skills - Thanks, a lot!
@Max-my6rk3 жыл бұрын
Smart! This is the easiest way to come up with the margin when given theta (or weight)... gosh..
@almonddonut18182 жыл бұрын
Thank you so much!
@arthurus772 жыл бұрын
why it's -b and not just + b ?
@jaisheel0083 жыл бұрын
How do I choose the values for w vector and b ??
@andreykol133 жыл бұрын
you might want to search 'lagrange multipliers' for solving this problem and maybe this will also help: web.mit.edu/6.034/wwwbob/svm-notes-long-08.pdf
@jaisheel0083 жыл бұрын
Thanks for your inputs Andrey !!
@arvinds7182 Жыл бұрын
Great work
@ritvikmath Жыл бұрын
Thanks!
@walfar5726 Жыл бұрын
Very well explained, thank you !
@zeinramadan3 жыл бұрын
great video as always. thank you
@ritvikmath3 жыл бұрын
Glad you enjoyed it!
@samt38259 ай бұрын
it was amazing thankyou so much
@stephanecurrie13043 жыл бұрын
That was crystal clear !
@mensahjacob34533 жыл бұрын
Thank you Sir . You really simplified the concept. I have subscribed already waiting patiently for more videos 😊
@kanishksoman7830 Жыл бұрын
Hi Ritvik, you are a great teacher of stats, calculus and ML/DL! I have one question regarding the equations. Why is the decision boundary equation W.X - b = 0? Shouldn't it be W.X + b = 0. I know the derivations and procedure to find the maximal margin is not affected but I don't understand -b. Please let me know if the sign is inconsequential. If it is, why is it? Thanks!