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IPython Interactive Computing and Visualization Cookbook

You're reading from   IPython Interactive Computing and Visualization Cookbook Over 100 hands-on recipes to sharpen your skills in high-performance numerical computing and data science in the Jupyter Notebook

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Product type Paperback
Published in Jan 2018
Publisher Packt
ISBN-13 9781785888632
Length 548 pages
Edition 2nd Edition
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Author (1):
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Cyrille Rossant Cyrille Rossant
Author Profile Icon Cyrille Rossant
Cyrille Rossant
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Table of Contents (17) Chapters Close

Preface 1. A Tour of Interactive Computing with Jupyter and IPython FREE CHAPTER 2. Best Practices in Interactive Computing 3. Mastering the Jupyter Notebook 4. Profiling and Optimization 5. High-Performance Computing 6. Data Visualization 7. Statistical Data Analysis 8. Machine Learning 9. Numerical Optimization 10. Signal Processing 11. Image and Audio Processing 12. Deterministic Dynamical Systems 13. Stochastic Dynamical Systems 14. Graphs, Geometry, and Geographic Information Systems 15. Symbolic and Numerical Mathematics Index

Minimizing a mathematical function


Mathematical optimization deals mainly with the problem of finding a minimum or a maximum of a mathematical function. Frequently, a real-world numerical problem can be expressed as a function minimization problem. Such examples can be found in statistical inference, machine learning, graph theory, and other areas.

Although there are many function minimization algorithms, a generic and universal method does not exist. Therefore, it is important to understand the differences between existing classes of algorithms, their specificities, and their respective use cases. We should also have a good understanding of our problem and our objective function; is it continuous, differentiable, convex, multidimensional, regular, or noisy? Is our problem constrained or unconstrained? Are we seeking local or global minima?

In this recipe, we will demonstrate a few usage examples of the function minimization algorithms implemented in SciPy.

How to do it...

  1. We import the libraries...

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