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Scala for Machine Learning

Scala for Machine Learning

By : R. Nicolas
3.8 (12)
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Scala for Machine Learning

Scala for Machine Learning

3.8 (12)
By: R. Nicolas

Overview of this book

Are you curious about AI? All you need is a good understanding of the Scala programming language, a basic knowledge of statistics, a keen interest in Big Data processing, and this book!
Table of Contents (15 chapters)
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14
Index

Numerical optimization

This section briefly introduces the different optimization algorithms that can be applied to minimize the loss function, with or without a penalty term. These algorithms are described in greater detail in the Summary of optimization techniques section in Appendix A, Basic Concepts.

First, let's define the least squares problem. The minimization of the loss function consists of nullifying the first order derivatives, which in turn generates a system of D equations (also known as gradient equations), D being the number of regression weights (parameters). The weights are iteratively computed by solving the system of equations using a numerical optimization algorithm.

Note

The definition of the least squares-based loss function is as follows:

Numerical optimization

The generation of gradient equations with a Jacobian J matrix (refer to the Jacobian and Hessian matrices section in Appendix A, Basic Concepts) after minimization of the loss function L is described as follows:

Numerical optimization

Iterative approximation...

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