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Programming Neural Networks with Python
book

Programming Neural Networks with Python

by Rheinwerk Publishing, Inc, Dr. Joachim Steinwendner, Dr. Roland Schwaiger
April 2026
461 pages
17h 56m
English
Packt Publishing
Content preview from Programming Neural Networks with Python

4.4    Separating Line for a Learning Step

In Figure 4.3, we’ve drawn the separating line that separates the 0 and 1 regions from each other. These are the two desired results, which are also referred to as classes or categories. If you’re interested in the math behind this, then check out Appendix B where we show you how to get from the weights to a dividing line.

Determination of the Separating Line for Step t + 1

We start from the weighted sum:

x0 w0 + x1 w1 + x2 w2 = 0

Then, we enter the values:

1 ⸱ (-0.9) + x1 ⸱ 0.1 + x2 ⸱ 0.1 = 0

A rewriting for x2 provides the following result:

x2 = -x1 + 9

Point 1: If x1 = 0, x2 = 9, that is, the point (0,9) is located on the separating line.

Point 2: If x1 = 9, then x2 = 0, that is, the point ...

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Publisher Resources

ISBN: 9781807782450