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  • Book Overview & Buying A Handbook of Mathematical Models with Python
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A Handbook of Mathematical Models with Python

A Handbook of Mathematical Models with Python

By : Ranja Sarkar
4.1 (7)
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A Handbook of Mathematical Models with Python

A Handbook of Mathematical Models with Python

4.1 (7)
By: 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)
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1
Part 1:Mathematical Modeling
4
Part 2:Mathematical Tools
11
Part 3:Mathematical Optimization

Principal Component Analysis

A well-known algorithm to extract features from high-dimensional data for consumption in machine learning (ML) models is Principal Component Analysis (PCA). In mathematical terms, dimension is the minimum number of coordinates required to specify a vector in space. A lot of computational power is needed to find the distance between two vectors in high-dimensional space and in such cases, dimension is considered a curse. An increase in dimension will result in high performance of the algorithm only to a certain extent and will drop beyond that. This is the curse of dimensionality, as shown in Figure 3.1, which impedes the achievement of efficiency for most ML algorithms. The variable columns or features in data represent dimensions of space and the rows represent the coordinates in that space. With the increasing dimension of data, sparsity increases and there is an exponentially increasing computational effort required to calculate distance and density...

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A Handbook of Mathematical Models with Python
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