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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 learned about a foundational optimization algorithm and its variants used in training ML and DL models. An application of the optimization technique in Python to a linear regression problem was also elaborated on. Both the cost function and its gradient, and how to update the gradient to converge to the optimal point, are mathematical concepts every data scientist must understand thoroughly; optimizing a cost function is the basis of achieving an optimal model for a problem or predictions. Different ways can be used to estimate the gradients depending on the behavior of the cost function.

In the following chapter, we will explore another fundamental algorithm, known as support vector machines (SVMs). Although SVMs can be used for regression problems, they are more widely used for classification tasks.

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