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Machine Learning and AI: Support Vector Machines in Python

Artificial Intelligence and Data Science Algorithms in Python for Classification and Regression
Instructor:
Lazy Programmer Inc.
24.123 estudiantes matriculados
English [Auto]
Apply SVMs to practical applications: image recognition, spam detection, medical diagnosis, and regression analysis
Understand the theory behind SVMs from scratch (basic geometry)
Use Lagrangian Duality to derive the Kernel SVM
Understand how Quadratic Programming is applied to SVM
Support Vector Regression
Polynomial Kernel, Gaussian Kernel, and Sigmoid Kernel
Build your own RBF Network and other Neural Networks based on SVM

Support Vector Machines (SVM) are one of the most powerful machine learning models around, and this topic has been one that students have requested ever since I started making courses.

These days, everyone seems to be talking about deep learning, but in fact there was a time when support vector machines were seen as superior to neural networks. One of the things you’ll learn about in this course is that a support vector machine actually is a neural network, and they essentially look identical if you were to draw a diagram.

The toughest obstacle to overcome when you’re learning about support vector machines is that they are very theoretical. This theory very easily scares a lot of people away, and it might feel like learning about support vector machines is beyond your ability. Not so!

In this course, we take a very methodical, step-by-step approach to build up all the theory you need to understand how the SVM really works. We are going to use Logistic Regression as our starting point, which is one of the very first things you learn about as a student of machine learning. So if you want to understand this course, just have a good intuition about Logistic Regression, and by extension have a good understanding of the geometry of lines, planes, and hyperplanes.

This course will cover the critical theory behind SVMs:

  • Linear SVM derivation

  • Hinge loss (and its relation to the Cross-Entropy loss)

  • Quadratic programming (and Linear programming review)

  • Slack variables

  • Lagrangian Duality

  • Kernel SVM (nonlinear SVM)

  • Polynomial Kernels, Gaussian Kernels, Sigmoid Kernels, and String Kernels

  • Learn how to achieve an infinite-dimensional feature expansion

  • Projected Gradient Descent

  • SMO (Sequential Minimal Optimization)

  • RBF Networks (Radial Basis Function Neural Networks)

  • Support Vector Regression (SVR)

  • Multiclass Classification

For those of you who are thinking, “theory is not for me“, there’s lots of material in this course for you too!

In this course, there will be not just one, but two full sections devoted to just the practical aspects of how to make effective use of the SVM.

We’ll do end-to-end examples of real, practical machine learning applications, such as:

  • Image recognition

  • Spam detection

  • Medical diagnosis

  • Regression analysis

For more advanced students, there are also plenty of coding exercises where you will get to try different approaches to implementing SVMs.

These are implementations that you won’t find anywhere else in any other course.

Thanks for reading, and I’ll see you in class!

“If you can’t implement it, you don’t understand it”

  • Or as the great physicist Richard Feynman said: “What I cannot create, I do not understand”.

  • My courses are the ONLY courses where you will learn how to implement machine learning algorithms from scratch

  • Other courses will teach you how to plug in your data into a library, but do you really need help with 3 lines of code?

  • After doing the same thing with 10 datasets, you realize you didn’t learn 10 things. You learned 1 thing, and just repeated the same 3 lines of code 10 times…

Suggested Prerequisites:

  • Calculus

  • Matrix Arithmetic / Geometry

  • Basic Probability

  • Logistic Regression

  • Python coding: if/else, loops, lists, dicts, sets

  • Numpy coding: matrix and vector operations, loading a CSV file

WHAT ORDER SHOULD I TAKE YOUR COURSES IN?:

  • Check out the lecture “Machine Learning and AI Prerequisite Roadmap” (available in the FAQ of any of my courses, including the free Numpy course)

UNIQUE FEATURES

  • Every line of code explained in detail – email me any time if you disagree

  • No wasted time “typing” on the keyboard like other courses – let’s be honest, nobody can really write code worth learning about in just 20 minutes from scratch

  • Not afraid of university-level math – get important details about algorithms that other courses leave out

Welcome

1
Introduction
2
Course Objectives
3
Course Outline
4
Where to get the code and data

Beginner's Corner

1
Beginner's Corner: Section Introduction
2
Image Classification with SVMs
3
Spam Detection with SVMs
4
Medical Diagnosis with SVMs
5
Regression with SVMs
6
Cross-Validation
7
How do you get the data? How do you process the data?
8
Suggestion Box

Review of Linear Classifiers

1
Basic Geometry
2
Normal Vectors
3
Logistic Regression Review
4
Loss Function and Regularization
5
Prediction Confidence
6
Nonlinear Problems
7
Linear Classifiers Section Conclusion

Linear SVM

1
Linear SVM Section Introduction and Outline
2
Linear SVM Problem Setup and Definitions
3
Margins
4
Linear SVM Objective
5
Linear and Quadratic Programming
6
Slack Variables
7
Hinge Loss (and its Relationship to Logistic Regression)
8
Linear SVM with Gradient Descent
9
Linear SVM with Gradient Descent (Code)
10
Linear SVM Section Summary

Duality

1
Duality Section Introduction
2
Duality and Lagrangians (part 1)
3
Lagrangian Duality (part 2)
4
Relationship to Linear Programming
5
Predictions and Support Vectors
6
Why Transform Primal to Dual?
7
Duality Section Conclusion

Kernel Methods

1
Kernel Methods Section Introduction
2
The Kernel Trick
3
Polynomial Kernel
4
Gaussian Kernel
5
Using the Gaussian Kernel
6
Why does the Gaussian Kernel correspond to infinite-dimensional features?
7
Other Kernels
8
Mercer's Condition
9
Kernel Methods Section Summary

Implementations and Extensions

1
Dual with Slack Variables
2
Simple Approaches to Implementation
3
SVM with Projected Gradient Descent Code
4
Kernel SVM Gradient Descent with Primal (Theory)
5
Kernel SVM Gradient Descent with Primal (Code)
6
SMO (Sequential Minimal Optimization)
7
Support Vector Regression
8
Multiclass Classification

Neural Networks (Beginner's Corner 2)

1
Neural Networks Section Introduction
2
RBF Networks
3
RBF Approximations
4
What Happened to Infinite Dimensionality?
5
Build Your Own RBF Network
6
Relationship to Deep Learning Neural Networks
7
Neural Network-SVM Mashup
8
Neural Networks Section Conclusion

Setting Up Your Environment (FAQ by Student Request)

1
Anaconda Environment Setup
2
How to install Numpy, Scipy, Matplotlib, Pandas, IPython, Theano, and TensorFlow

Extra Help With Python Coding for Beginners (FAQ by Student Request)

1
How to Code by Yourself (part 1)
2
How to Code by Yourself (part 2)
3
Proof that using Jupyter Notebook is the same as not using it
4
Python 2 vs Python 3

Effective Learning Strategies for Machine Learning (FAQ by Student Request)

1
How to Succeed in this Course (Long Version)
2
Is this for Beginners or Experts? Academic or Practical? Fast or slow-paced?
3
Machine Learning and AI Prerequisite Roadmap (pt 1)
4
Machine Learning and AI Prerequisite Roadmap (pt 2)

Appendix / FAQ Finale

1
What is the Appendix?
2
BONUS
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Machine Learning and AI: Support Vector Machines in Python
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