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			27 lines
		
	
	
		
			915 B
		
	
	
	
		
			HTML
		
	
	
	
	
	
			
		
		
	
	
			27 lines
		
	
	
		
			915 B
		
	
	
	
		
			HTML
		
	
	
	
	
	
| <html>
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| <head>
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| <title>Schwefel's double sum</title>
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| </head>
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| <body>
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| <h1 align="center">Schwefels double sum</h1>
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| <center>
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| <img src="images/f2tex.jpg" width="220" height="102" border="0" align="center">
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| </center>
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| <p>
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| Schwefel's double sum is a quadratic minimization problem. Its difficulty increases by the dimension <i>n</i> in <i>O(n^2)</i>. It is used for analysis of correlating mutations.
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| <p>
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| It possesses specific symmetrical properties:<br>
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| 
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| <img src="images/schwefelsymmetrie.jpg" width="500" height="104" border="0" align="middle">
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| <p>
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| Its minimum is located at: <i>f(x)</i>=<i>f</i>([0, 0, ... , 0])=0
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| <p>
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| <img src="images/f2.jpg" width="480" height="360" border="2" align="middle">
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| 
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| <hr>
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| More information about Schwefel's double sum can be found at:
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| <p>
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| Hans Paul Schwefel. <i>Evolution and optimum seeking.</i> Sixth-Generation Computer Technology Series.  John Wiley & Sons, INC., 1995.
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| 
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| </body>
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| </html>  |