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	<id>https://wiki.slacker.se/index.php?action=history&amp;feed=atom&amp;title=FFR120_Project_ht08</id>
	<title>FFR120 Project ht08 - Versionshistorik</title>
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	<updated>2026-10-16T08:58:14Z</updated>
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	<entry>
		<id>https://wiki.slacker.se/index.php?title=FFR120_Project_ht08&amp;diff=12356&amp;oldid=prev</id>
		<title>Sandlund den 4 januari 2009 kl. 20.19</title>
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		<updated>2009-01-04T20:19:52Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Ny sida&lt;/b&gt;&lt;/p&gt;&lt;div&gt;= The guess =&lt;br /&gt;
&lt;br /&gt;
Each individual guess is made by defining a set of parameters &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;\sigma&amp;lt;/math&amp;gt; and then choosing a guess from the gaussian probability distribution defined by the parameters, where the distribution is defined as&lt;br /&gt;
&amp;lt;math&amp;gt;&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\varphi_{\mu,\sigma^2}(x) = \frac{1}{\sigma\sqrt{2\pi}} \,e^{ -\frac{(x- \mu)^2}{2\sigma^2}} ,\quad x\in\mathbb{R},&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;\sigma &amp;gt; 0&amp;lt;/math&amp;gt; is the standard deviation, the real parameter &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the expected value.&lt;br /&gt;
&lt;br /&gt;
= GA - Landscape of self =&lt;br /&gt;
&lt;br /&gt;
== The algorithm ==&lt;br /&gt;
&lt;br /&gt;
This is a standard GA with chromosomes encoding the distribution parameters,&amp;lt;math&amp;gt;(\mu,\sigma)&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
== Results ==&lt;br /&gt;
&lt;br /&gt;
[[Image:BinDistApprox large.png|right|250px|thumb|Binomial PDF and normal approximation for &amp;#039;&amp;#039;n&amp;#039;&amp;#039; = 6 and &amp;#039;&amp;#039;p&amp;#039;&amp;#039; = 0.5.]]&lt;br /&gt;
&lt;br /&gt;
* 1 is a good guess in most cases&lt;br /&gt;
* 1, or low number, generates determenistic chromosome&lt;br /&gt;
* high best uess generates non-determenistic chromosome&lt;br /&gt;
* Guess-distribution behaves as one or several, in themselves, stable distribution bells&lt;/div&gt;</summary>
		<author><name>Sandlund</name></author>
	</entry>
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