SVMs Explained: The Geometry of Intelligence

ByteQuest · Beginner ·📐 ML Fundamentals ·11mo ago

About this lesson

In this video, I've tried to explain the support vector machines, or SVMs, in an intuitive way using manim animations. First, I have explained the core ideas of support vector machines using animations, and then went into the mathematics of it, although I did not explain how to take derivatives and all, but rather did it directly, assuming the viewer can do it. And after explaining the mathematics of it, I have also explained what happens when the data is not linearly separable and how we use kernel functions (also known as the Kernel Trick), and then using a few famous kernels to simulate an SVM working. chapters:- 0:00 Introduction to SVMs 02:12 Mathematics of SVMs 12:14 Problem of Linear separability 14:20 The Kernel Function 15:52 Kernel Trick Example 18:04 simulating SVMs using some kernels --------------------------------------------------------------------------------------------------------------------------- 📚 Welcome to the Channel! If you're passionate about learning complex concepts in the simplest way possible, you're in the right place. I create visual explanations using animations to make topics more intuitive and engaging—especially in Algorithms, AI, machine learning, and beyond. 🎥 Animations created using Manim: Manim is an open-source Python library for creating mathematical animations. Learn more or try it yourself: 🔗 https://www.manim.community Let's Connect:- GitHub:- https://github.com/ByteQuest0 Reddit:- https://www.reddit.com/user/ranjan4045/

Original Description

In this video, I've tried to explain the support vector machines, or SVMs, in an intuitive way using manim animations. First, I have explained the core ideas of support vector machines using animations, and then went into the mathematics of it, although I did not explain how to take derivatives and all, but rather did it directly, assuming the viewer can do it. And after explaining the mathematics of it, I have also explained what happens when the data is not linearly separable and how we use kernel functions (also known as the Kernel Trick), and then using a few famous kernels to simulate an SVM working. chapters:- 0:00 Introduction to SVMs 02:12 Mathematics of SVMs 12:14 Problem of Linear separability 14:20 The Kernel Function 15:52 Kernel Trick Example 18:04 simulating SVMs using some kernels --------------------------------------------------------------------------------------------------------------------------- 📚 Welcome to the Channel! If you're passionate about learning complex concepts in the simplest way possible, you're in the right place. I create visual explanations using animations to make topics more intuitive and engaging—especially in Algorithms, AI, machine learning, and beyond. 🎥 Animations created using Manim: Manim is an open-source Python library for creating mathematical animations. Learn more or try it yourself: 🔗 https://www.manim.community Let's Connect:- GitHub:- https://github.com/ByteQuest0 Reddit:- https://www.reddit.com/user/ranjan4045/
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Chapters (6)

Introduction to SVMs
2:12 Mathematics of SVMs
12:14 Problem of Linear separability
14:20 The Kernel Function
15:52 Kernel Trick Example
18:04 simulating SVMs using some kernels
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