24 lines
839 B
HTML
24 lines
839 B
HTML
<html>
|
|
<head>
|
|
<title>f_1 : Sphere function</title>
|
|
</head>
|
|
<body>
|
|
<h1 align="center">The F1 hyper-parabola function</h1>
|
|
<center>
|
|
<img src="images/f1tex.jpg" width="85" height="95" border="0" align="center">
|
|
</center><br>
|
|
The hyper-parabola function is a <i>n</i>-dimensional, axis-symmetric, continuously differentiable, convex function:
|
|
<p>
|
|
Because of its simplicity every optimization-algorithm should be able to find its global minimum at <i>x</i>=[0, 0, ... , 0]
|
|
<p>
|
|
|
|
<img src="images/f1.jpg" width="480" height="360" border="2" align="middle">
|
|
|
|
<hr>
|
|
More information about the F1 function can be found at:
|
|
<p>
|
|
|
|
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.
|
|
|
|
</body>
|
|
</html> |