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A Handbook of Mathematical Models with Python

You're reading from   A Handbook of Mathematical Models with Python Elevate your machine learning projects with NetworkX, PuLP, and linalg

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Product type Paperback
Published in Aug 2023
Publisher Packt
ISBN-13 9781804616703
Length 144 pages
Edition 1st Edition
Languages
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Author (1):
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Ranja Sarkar Ranja Sarkar
Author Profile Icon Ranja Sarkar
Ranja Sarkar
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Table of Contents (16) Chapters Close

Preface 1. Part 1:Mathematical Modeling
2. Chapter 1: Introduction to Mathematical Modeling FREE CHAPTER 3. Chapter 2: Machine Learning vis-à-vis Mathematical Modeling 4. Part 2:Mathematical Tools
5. Chapter 3: Principal Component Analysis 6. Chapter 4: Gradient Descent 7. Chapter 5: Support Vector Machine 8. Chapter 6: Graph Theory 9. Chapter 7: Kalman Filter 10. Chapter 8: Markov Chain 11. Part 3:Mathematical Optimization
12. Chapter 9: Exploring Optimization Techniques 13. Chapter 10: Optimization Techniques for Machine Learning 14. Index 15. Other Books You May Enjoy

Summary

In this chapter, we explored SVM as a classifier. In addition to linear data, SVMs can efficiently classify non-linear data using kernel functions. The method used by the SVM algorithm can be extended to solve regression problems. SVM is utilized for novelty detection as well, wherein the training dataset is not polluted with outliers and the algorithm is exploited to detect a new observation as an anomaly, in which case the outlier is called a novelty.

The next chapter is about graph theory, a tool that provides the necessary mathematics to quantify and simplify complex systems. Graph theory is the study of relations (connections or edges) between a set of nodes or individual entities in a dynamic system. It is an integral component of ML and DL because graphs provide a means to represent a business problem as a mathematical programming task in the form of nodes and edges.

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