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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

Optimizing machine learning models

The concept of optimization is integral to an ML model. ML helps make clusters, detect anomalies, predict the future from historical data, and so forth. However, when it comes to minimizing costs in a business, finding optimal placement of business facilities, et cetera, what we need is a mathematical optimization model.

We will talk about optimization in machine learning in this section. Optimization ensures that the structure and configuration of the ML model are as effective as possible to achieve the goal it has been built for. Optimization techniques automate the testing of different model configurations. The best configuration (set of hyperparameters) has the lowest margin of error, thereby yielding the most accurate model for a given dataset. Getting the hyperparameter optimization right for an ML model can be tedious, as both under-optimized (underfit) as well as over-optimized (overfit) models fail. Overfitting is when a model is trained...

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