From fe805b66d32931f4f51d994a5dd122bd8663298a Mon Sep 17 00:00:00 2001
From: Florian Forster <octo@leeloo.octo.it>
Date: Sat, 19 Feb 2011 18:24:17 +0100
Subject: [PATCH] =?utf8?q?Erw=C3=A4hne=20die=20Arbeiten=20von=20Hillis=20u?=
 =?utf8?q?nd=20Juill=C3=A9.?=
MIME-Version: 1.0
Content-Type: text/plain; charset=utf8
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---
 diplomarbeit.tex       |  41 ++++++++
 images/13-juille-0.tex | 195 ++++++++++++++++++++++++++++++++++++
 images/13-juille-1.tex | 195 ++++++++++++++++++++++++++++++++++++
 images/16-hillis.tex   | 262 +++++++++++++++++++++++++++++++++++++++++++++++++
 references.bib         |  16 +++
 5 files changed, 709 insertions(+)
 create mode 100644 images/13-juille-0.tex
 create mode 100644 images/13-juille-1.tex
 create mode 100644 images/16-hillis.tex

diff --git a/diplomarbeit.tex b/diplomarbeit.tex
index 7273cbe..c090c39 100644
--- a/diplomarbeit.tex
+++ b/diplomarbeit.tex
@@ -327,6 +327,47 @@ Sortiereigenschaft erhält. Transformationen von Sortiernetzwerken werden in
 Abschnitt~\ref{sect:tranformation} beschrieben, ein Algorithmus, der Mutation
 einsetzt, wird in Abschnitt~\ref{sect:sn-evolution-cut} vorgestellt.
 
+
+\begin{figure}
+  \begin{center}
+    \input{images/16-hillis.tex}
+  \end{center}
+  \caption{Das 16-Sortiernetzwerk, das \textit{Hillis} in~\cite{H1992} angibt.
+  Es besteht aus 61~Komparatoren in 11~Schichten.}
+  \label{fig:16-hillis}
+\end{figure}
+Evolutionäre Algorithmen wurden bereits mehrfach eingesetzt, um
+Sortiernetzwerke zu untersuchen. \textit{W.~Daniel Hillis} verwendete
+\emph{Co-Evolution} um neben Komparatornetzwerken auch „schwierige Eingaben“
+zu optimieren~\cite{H1992}. Diese \emph{Parasiten} genannten Eingaben wurden
+daran gemessen, bei wievielen Komparatornetzwerken sie beweisen konnten, dass
+sie keine Sortiernetzwerke sind. So mussten bei neuen Individuen~/
+Komparatornetzwerken nicht alle 0-1-Folgen, sondern nur erfolgreiche
+Parasiten~/ schwierige Eingaben überprüft werden. Auf diese Art und Weise
+gelang es \textit{Hillis} ein 16-Sortiernetzwerk mit 61~Komparatoren
+anzugeben, das in Abbildung~\ref{fig:16-hillis} zu sehen ist.
+
+\begin{figure}
+  \centering
+  \subfigure{\input{images/13-juille-0.tex}}
+  \subfigure{\input{images/13-juille-1.tex}}
+  \caption{13-Sortiernetzwerke, die von \textit{Hugues Juillé} mithilfe des
+  END-Algorithmus gefunden wurden. Sie bestehen jeweils aus 45~Komparatoren in
+  10~Schichten.}
+  \label{fig:13-juille}
+\end{figure}
+\textit{Hugues Juillé} entwickelte ein Verfahren, das er \emph{Evolving
+Non-Determinism} (END) nannte. Dabei handelt es sich nicht um einen
+\emph{Evolutionären Algorithmus}, wie sie hier vorgestellt wurden, sondern um
+eine verteilte, probabilistische Breitensuche, die an die \emph{Strahlsuche}
+(englisch: \textit{beam search}), ein Verfahren der Künstlichen Intelligenz,
+angelehnt ist. Die aufwendigste Operation bei diesem Ansatz ist die
+Bewertungsfunktion, die abschätzt, wieviele Komparatoren zu einem
+Komparatornetzwerk hinzugefügt werden müssen, um ein Sortiernetzwerk zu
+erhalten. Mit diesem Ansatz gelang es \textit{Juillé} zwei 13-Sortiernetzwerke
+anzugeben, die mit 45~Komparatoren effizienter sind als alle bis dahin
+Bekannten (Abbildung~\ref{fig:13-juille}).
+
 \newpage
 \section{Bekannte konstruktive Sortiernetzwerke}
 \label{sect:konstruktive_netzwerke}
diff --git a/images/13-juille-0.tex b/images/13-juille-0.tex
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diff --git a/images/13-juille-1.tex b/images/13-juille-1.tex
new file mode 100644
index 0000000..97472d5
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diff --git a/images/16-hillis.tex b/images/16-hillis.tex
new file mode 100644
index 0000000..b4f3fb3
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diff --git a/references.bib b/references.bib
index 2bae7cd..7bb306a 100644
--- a/references.bib
+++ b/references.bib
@@ -70,3 +70,19 @@
 	Year = 2009,
 	Month = {März}
 }
+
+@inproceedings{J1995,
+	Author = {Hugues Juillé},
+	Title = {Evolution of Non-Deterministic Incremental Algorithms as a New Approach for Search in State Spaces},
+	Booktitle = {Lecture Notes in Computer Science},
+	Year = 1995,
+	Pages = {246--260}
+}
+
+@inbook{H1992,
+	Author = {W.~Daniel Hillis},
+	Title = {Artificial Life II},
+	Chapter = {Co-evolving parasites improve simulated evolution as an optimization procedure},
+	Publisher = {Addison-Wesley},
+	Year = 1992
+}
-- 
2.11.0