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    <title>Notebooks   </title>
    <link>http://bactra.org/notebooks</link>
    <description>Cosma's Notebooks</description>
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  <item>
    <title>The Phylogenetic Comparative Method and Evolving Cellular Automata</title>
    <link>http://bactra.org/notebooks/2009/04/10#phylogeny-in-evca</link>
    <description>
&lt;P&gt;Once upon a time, I was a minor contributor to
the &lt;a href=&quot;http://www.santafe.edu/~evca/&quot;&gt;Evolving Cellular Automata&lt;/a&gt;
project at the &lt;a href=&quot;http://www.santafe.edu/&quot;&gt;Santa Fe Institute&lt;/a&gt;.  The
goal of the project was to study how evolutionary search methods
(specifically, &lt;a href=&quot;evol-comp.html&quot;&gt;genetic algorithms&lt;/a&gt;) could discover
ways to get distributed, decentralized computers
(specifically, &lt;a href=&quot;cellular-automata.html&quot;&gt;cellular automata&lt;/a&gt;) to
approximately solve problems which are easy with centralized processors but
hard or even impossible to do exactly without them.  The hope was that this
would shed some light on how natural distributed information processing gets
done.

&lt;P&gt;A typical problem was &quot;density classification&quot;: given a string of bits,
decide whether it contains more 0s than 1s or vice versa.  The fitness of a
rule was just what fraction of (randomly generated) configurations it
classified correctly.  Run with large populations for a long time, you ended up
with the gene pool being dominated by rules which did, in fact, do a pretty
good job, even though, demonstrably, no conceivable rule of this sort could
work perfectly.  The successful rules tended to have certain features in
common, namely they tended to produce propagating coherent structures
(&quot;particles&quot;) whose interactions look a lot like logical circuits.  (See,
e.g., &lt;a href=&quot;http://www.santafe.edu/~evca/Papers/EvEmComp.html&quot;&gt;here&lt;/a&gt; for
some details, and &lt;a href=&quot;http://www.santafe.edu/~evca/evca1/papers.htm&quot;&gt;other
EvCA papers&lt;/a&gt; for much, much more.)  A very convincing story can be told
about &lt;em&gt;how&lt;/em&gt; these particles and their interactions are actually what let
these rules be as successful as they are.

&lt;P&gt;One question I was interested in at the time, but never followed up, was
whether one could provide some kind of quantitative, statistical support for
this assertion, in addition to the more &quot;physical&quot; reasoning.  A natural idea
would be to do something like a regression of rule fitness on the &quot;phenotypic&quot;
features of the kinds of particles produced, aspects of their interactions,
etc.  A problem, though, is that the rules are not independent samples, but
related through common descent, and so some phenotypes might be associated with
high fitness due to founder effects, etc.  Teasing apart adaptive effects from
common descent is what the &lt;a href=&quot;../reviews/harvey-pagel/&quot;&gt;phylogenetic
comparative method&lt;/a&gt; is supposed to let us do.  So: somebody should apply the
comparative method to EvCA data.  It won't be me, but I'd be very interested in
hearing about the results of this.
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