C++ Neural Networks and Fuzzy Logic: Preface

Example—A Hopfield Network

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Example—A Hopfield Network

The neural network we present is a Hopfield network, with a single layer. We place, in this layer, four

neurons, each connected to the rest, as shown in Figure 1.3. Some of the connections have a positive weight,

and the rest have a negative weight. The network will be presented with two input patterns, one at a time, and

it is supposed to recall them. The inputs would be binary patterns having in each component a 0 or 1. If two

C++ Neural Networks and Fuzzy Logic:Preface

Example—A Feed−Forward Network


patterns of equal length are given and are treated as vectors, their dot product is obtained by first multiplying

corresponding components together and then adding these products. Two vectors are said to be orthogonal, if

their dot product is 0. The mathematics involved in computations done for neural networks include matrix

multiplication, transpose of a matrix, and transpose of a vector. Also see Appendix B. The inputs (which are

stable, stored patterns) to be given should be orthogonal to one another.

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