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<head>
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<title>The step function</title>
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</head>
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<body><EFBFBD>
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<h1 align="center">The step function</h1>
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<body>
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<h1 align="center">The Step Function</h1>
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<center>
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<img src="images/steptex.jpg" width="350" height="120" aling="center">
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</center>
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<p>
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The idea of this function is the implementation of a flat plateau (slope 0)in an underlying continuous function.Its harder for optimization algortihms to find optimums because minor changes of the object variables don't affect the fitness. Therefore no conclusions about the search direction can be made.
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The idea of this function is the implementation of a flat plateau (slope 0)in an underlying continuous function. It's harder for optimization algortihms to find optima because minor changes of the object variables don't affect the fitness. Therefore no conclusions about the search direction can be made.
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<p>
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<img src="images/step5.jpg" width="480" height="360" border="2" align="center">
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<p>
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The step function is symmetric considering the underlying function (here: f(x,y) = f(y,x)), but between the bulk constant plateau-areas not continuously differentiable.
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<p>
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Its minimum-area is located in the intervalls: <i>f(x)</i>=<i>f</i>([-5.12,-5), ... , [-5.12,-5))=0.
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Its minimum-area is located in the intervals: <i>f(x)</i>=<i>f</i>([-5.12,-5), ... , [-5.12,-5))=0.
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<p>
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<img src="images/stepopt.jpg" width="480" height="360" border="2" align="center">
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<hr>
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