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Artificial Intelligence and Soft Computing: Behavioral ... - Arteimi.info

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V x ∑ w O<br />

j = Sgn ( j+ ji i + A −15<br />

.)<br />

∀i<br />

⎧ x j, when all Oi<br />

= 0<br />

⎪<br />

= ⎨<br />

⎪x<br />

j∧∑wjiOi, otherwise<br />

⎩<br />

∀i<br />

where A = Sgn ( ∑ x j− N ∑Oi−05<br />

.)<br />

j i<br />

<strong>and</strong> Sgn( y) = +1, y > 0<br />

= 0, y < 0.<br />

_<br />

The weight vector W * is identified by the output layer using the following<br />

∼<br />

Competition Rule:<br />

_ *<br />

Select W if<br />

∼<br />

_<br />

W *<br />

∼<br />

.<br />

∼ X _<br />

≥ W .<br />

∼ ∼ X _<br />

, for all W .<br />

∼<br />

The schematic architecture of the ART network model is given in fig.14.15.<br />

A<br />

−N<br />

1<br />

1<br />

Competitive (Output) Layer<br />

∼ O<br />

∼ W<br />

Comparison (Input) Layer<br />

∼ W<br />

∼ X ;<br />

Fig. 14.15: An ART network model.<br />

∼ V<br />

_<br />

W ∼<br />

ρ<br />

−1<br />

R

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