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Support Vector Machine: A Comprehensive Guide — Part2

5 min readMay 22, 2023

In my last article, we discussed SVMs, the geometric intuition behind SVMs, and also Soft and Hard margins. Today we will continue discussing SVMs and will try to understand the mathematics behind SVMs, cost function, Support Vector Regressor (SVR), and Support Vector Kernels.

Source: Alteryx

SVM Mathematical Intuition

In the image below, we have a best-fit line or a plane separating positive and negative lines. Also, there is a vector w perpendicular to the plane. Vector w and the positive points are on the same side of the plane so the distance between them is positive. On the other hand, negative points and vector w are on opposite sides so the distance between them is negative.

SVM

In the next image, we have a best-fit line or plane but along with that we also have two marginal planes passing through the nearest point of each category and the equation of the plane is also shown.

SVM
Nerd For Tech
Nerd For Tech

Published in Nerd For Tech

NFT is an Educational Media House. Our mission is to bring the invaluable knowledge and experiences of experts from all over the world to the novice. To know more about us, visit https://www.nerdfortech.org/.

Sachin Dev
Sachin Dev

Written by Sachin Dev

A Data Analyst who tries to explain complex data science concepts in a simple way | https://github.com/devsachin0879 | https://www.linkedin.com/in/devsachin0879

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