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	<updated>2026-08-06T10:04:57Z</updated>
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	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Bernoulli_space&amp;diff=26720</id>
		<title>Bernoulli space</title>
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		<updated>2013-11-18T12:06:18Z</updated>

		<summary type="html">&lt;p&gt;149.170.169.1: /* Future and past */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Multiple issues|orphan = June 2011|no footnotes = May 2011|&lt;br /&gt;
{{underlinked|date=November 2012}}&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
In [[information theory]], &#039;&#039;&#039;specific-information&#039;&#039;&#039; is the generic name given to family of state-dependent measures that in expectation converge to the [[mutual information]].  There are currently three known varieties of specific information usually denoted &amp;lt;math&amp;gt;I_V&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;I_S&amp;lt;/math&amp;gt;, and &amp;lt;math&amp;gt;I_{ssi}&amp;lt;/math&amp;gt;.&lt;br /&gt;
The specific-information between a random variable &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; and a state &amp;lt;math&amp;gt;Y=y&amp;lt;/math&amp;gt; is written as,&lt;br /&gt;
:&amp;lt;math&amp;gt;I( X ; Y = y)&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
*{{cite journal |pages=325–40 |doi=10.1088/0954-898X/10/4/303 |title=How to measure the information gained from one symbol |year=1999 |last1=Deweese |first1=Michael |last2=Meister |first2=Markus |journal=Network: Computation in Neural Systems |volume=10 |issue=4 |pmid=10695762}}&lt;br /&gt;
*{{cite journal |pages=177–87 |doi=10.1088/0954-898X/14/2/301 |title=How much information is associated with a particular stimulus? |year=2003 |last1=Butts |first1=Daniel |journal=Network: Computation in Neural Systems |volume=14 |issue=2 |pmid=12790180}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Information theory]]&lt;/div&gt;</summary>
		<author><name>149.170.169.1</name></author>
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