SVM (The Math) : Data Science Concepts

great, concise explanation !

Thanks for such brilliant explanation really appreciate your work!!

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

🌟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.

@ritvikmath, why is the intercept (b) is negative? The equation of the line/plane/hyperplane should be w1x1 + w2x2 + w3x3 + b = 0, i.e. wx+b = 0 should the line equation. isn't?

Dude thank you! now these equations don't feel like they were pulled out of thin air. and the best part is I can work them out too! I haven't done linear algebra in almost a decade so I got stuck on the ||w||/(w*w) part for a good bit but this pushed me to refresh some concepts and figure it out! Thank you

What an amazing video bro. Keep going.

phenomenal

უფალი დაგლოცავს, შენზე თესლი არავინ არ არის ამეების ახსნაში

Once again, ritvikmath being a lifesaver for me. If I understand the underlying math behind this concepts, it is because of him

You explained this topic perfectly! Amazing!

You are an amazing elucidator👍

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!

Great video

Thanks for this wonderful video.

I understand that the equation of blue dotted line (plane) is W.X+b =0 .

But how can we decide the other two lines. I mean how those can be W.X+b = +1 and W.X+b = -1.

And if they are, then the width is 2 right? how we can maximize it, it is fixed isnt it so?

I know I am talking nonsense :) I dont have anyone else to ask this :)

Thanks in advance!

Great work

Incredible video

Starting mein kya kiya bhai tune?

amazing video!