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A Handbook of Mathematical Models with Python

A Handbook of Mathematical Models with Python

By : Ranja Sarkar, Dr. 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, 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)
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1
Part 1:Mathematical Modeling
4
Part 2:Mathematical Tools
11
Part 3:Mathematical Optimization

Graph neural networks

DL algorithms make use of graphs to predict at the level of nodes, edges, or entire graphs. In node classification, the label of samples (nodes) is determined by looking at the labels of neighbors. In graph classification, the entire graph is classified into different categories, an example being categorizing documents using natural language processing. The relationships (edges) between nodes or entities are utilized in recommendation systems. Image and text are types of structured data that can be described as grids of pixels and sequences of words, respectively. These are shown in Figure 6.10a. Graphs, in contrast, are unstructured data. Graphs can contain any kind of data, including images and text.

Figure 6.10a: Structured data (L) as opposed to graphs/networks (R)

GNNs organize graphs using a process called message passing so that DL algorithms can use the embedded information about the neighbors of each node to find patterns...

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