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Table Of Contents
Hands-On Machine Learning with C++ - Second Edition
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In this section, we’ll discuss the widespread non-linear methods and algorithms that are used for dimension-reduction, such as the following:
Classic PCA is a linear projection method that works well if the data is linearly separable. However, in the case of linearly non-separable data, a non-linear approach is required. The basic idea of working with linearly inseparable data is to project it into a space with a larger number of dimensions, where it becomes linearly separable. We can choose a non-linear mapping function,
, so that the sample mapping, x, can be written as
. This is called the kernel function. The term kernel describes a function that calculates the scalar product of mapping (in a higher-order space) samples x with
. This scalar product can be interpreted as the distance...