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An Example of a Logical Neural Network

This example illustrates the operation of the simplified recognition device shown in Figure 3.5, using a 3x3 input retina. The training set has four instances, representing the simplified letters `H' and `L'. The test set consists of two distorted characters (see Figure 3.6).

 figure389
Figure 3.5:  An Example Architecture Using RAM Elements.

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Figure 3.6:  The Training and Test Sets.

After training the RAM units have the following filling:

Address = Pattern
000 001 010 011 100 101 110 111
RAM11 0 0 0 0 1 1 0 0
RAM12 0 0 0 0 0 0 0 1
RAM13 0 0 0 0 0 1 0 0
RAM21 0 0 0 0 1 0 0 0
RAM22 0 0 0 0 1 0 0 0
RAM23 0 0 0 0 1 0 0 1

If the test patterns are supplied to the network the system gives the following response: For test pattern 1 the H-discriminator gives a response of `1' and the L-discriminator gives a `2'. For the second test pattern the H-discriminators give a `2' and the L-discriminator gives a `0'. If the threshold is set to two the distorted `L' and `H' are both correctly recognized.


next up previous contents
Next: Improvements on Logical Neural Up: Logical Neural Networks Previous: Selecting a Logical Network

Albrecht Schmidt
Mit Okt 4 16:45:34 CEST 2000