24 lines
845 B
HTML
24 lines
845 B
HTML
<html>
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<head>
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<title>f_1 : Sphere function</title>
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</head>
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<body>
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<h1 align="center">The F1 hyper-parabola function</h1>
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<center>
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<img src="../images/f1tex.jpg" width="85" height="95" border="0" align="center">
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</center><br>
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The hyper-parabola function is a <i>n</i>-dimensional, axis-symmetric, continuously differentiable, convex function:
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<p>
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Because of its simplicity every optimization-algorithm should be able to find its global minimum at <i>x</i>=[0, 0, ... , 0]
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<p>
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<img src="../images/f1.jpg" width="480" height="360" border="2" align="middle">
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<hr>
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More information about the F1 function can be found at:
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<p>
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Kenneth De Jong. <i>An analysis of the behaviour of a class of genetic adaptive systems.</i> Dissertation, University of Michigan, 1975. Diss. Abstr. Int. 36(10), 5140B, University Microflims No. 76-9381.
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</body>
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</html> |