SVM (The Math) : Data Science Concepts

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Let's get mathematical.

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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

sejmou

This guy is underrated for real. YouTube - throw him into recommendations.

stanlukash

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!

supersql

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.

ragyakaul

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!

shusrutorishik

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!!

KARINEMOOSE

This is the best and most comprehensible math video on hard margin SVM I have seen till date!

vedantpuranik

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!

FPrimeHD

I think this might be top 5 explanations of SVM mathematics all-time. Very well done

stephonhenry-rerrie

this guy explained what my professors couldn't explain in 2 hours 😂😂😂

more-uvnl

You answered all the questions I had in mind without me even asking them to you. This was an amazing walkthrough. Thank you!

velevki

THE BEST EXPLANATION of SVM on YouTube! And the whole internet! THANK YOU!

tollesch_tieries

this guy is just a treasure to data science communication!!! A very big THANK YOU...

panagiotistsikos

Another great video on SVM. As a mathematician I do appreciate your succinct yet accurate exposition not playing around with irrelevant details.

pavelrozsypal

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

srivatsa

I finally get svm after watching a lot of tutorial on Youtube. Clever explanation. Thank you

polarbear

That's what i've been waiting for! Thanks a lot. Great video!

honeyBadger

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.

nickmillican

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

luchomame

This is a serious good stuff video. I have not seen a better svm explanation

techienomadiso

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