Book Image

A Handbook of Mathematical Models with Python

By : Dr. Ranja Sarkar
Book Image

A Handbook of Mathematical Models with Python

By: Dr. Ranja Sarkar

Overview of this book

Mathematical modeling is the art of transforming a business problem into a well-defined mathematical formulation. Its emphasis on interpretability is particularly crucial when deploying a model to support high-stake decisions in sensitive sectors like pharmaceuticals and healthcare. Through this book, you’ll gain a firm grasp of the foundational mathematics underpinning various machine learning algorithms. Equipped with this knowledge, you can modify algorithms to suit your business problem. Starting with the basic theory and concepts of mathematical modeling, you’ll explore an array of mathematical tools that will empower you to extract insights and understand the data better, which in turn will aid in making optimal, data-driven decisions. The book allows you to explore mathematical optimization and its wide range of applications, and concludes by highlighting the synergetic value derived from blending mathematical models with machine learning. Ultimately, you’ll be able to apply everything you’ve learned to choose the most fitting methodologies for the business problems you encounter.
Table of Contents (16 chapters)
1
Part 1:Mathematical Modeling
4
Part 2:Mathematical Tools
11
Part 3:Mathematical Optimization

Support Vector Machine

This chapter explores a classic algorithm that one must keep in one’s machine learning arsenal called the support vector machine (SVM), which is mainly used for classification problems rather than regression problems. Since its inception in the 1990s, it was commonly used to recognize patterns and outliers in data. Its popularity declined after the emergence of boosting algorithms such as extreme gradient boost (XGB). However, it prevails as one of the most commonly used supervised learning algorithms.

In the 1990s, efficient learning algorithms based on computational learning were developed for non-linear functions. Algorithms such as linear learning algorithms have well-defined theoretical properties. With this development, efficient separability (decision surfaces) of nonlinear regions that use kernel functions was established. Nonlinear SVMs are quite frequently used for the classification of real (nonlinear) data.

SVM was initially known as...