Slides for Fuzzy Sets, Ch. 2 of Neuro-Fuzzy and Soft Computing
Slides for Fuzzy Sets, Ch. 2 of Neuro-Fuzzy and Soft Computing
Slides for Fuzzy Sets, Ch. 2 of Neuro-Fuzzy and Soft Computing
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<strong>Neuro</strong>-<strong>Fuzzy</strong> <strong>and</strong> S<strong>of</strong>t <strong>Computing</strong>: <strong>Fuzzy</strong> <strong>Sets</strong><br />
Steepest Descent<br />
Have n-dimensional space<br />
Want to find<br />
*<br />
θ = θ<br />
[ θ θ ] T<br />
θ = 1,<br />
2,...,<br />
such that<br />
Investigate the search space via iteration<br />
such that<br />
E<br />
θ<br />
E<br />
θ n<br />
(<br />
*<br />
θ ) = min( E( θ ))<br />
( )<br />
1<br />
= θ<br />
k<br />
+ ηkdk<br />
= 1,2,3,...<br />
k +<br />
k<br />
( θ ) = E( θ + η ) < E( θ )<br />
d<br />
k + 1 k k<br />
k<br />
26
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