From 7198f3ed27afb2aac6bf3f9c19cdf8d251d6fc05 Mon Sep 17 00:00:00 2001 From: paul-loedige Date: Tue, 2 Feb 2021 12:04:10 +0100 Subject: [PATCH] =?UTF-8?q?Suchprobleme=20hinzugef=C3=BCgt?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Acronyms.tex | 1 + .../Suchprobleme.tex | 54 +++++++++++++++++- .../Suchverfahren.tex | 2 + images/8-damen-problem1.png | Bin 0 -> 112306 bytes images/8-damen-problem2.png | Bin 0 -> 102362 bytes images/einfache roboter-welt1.png | Bin 0 -> 89099 bytes images/einfache roboter-welt2.png | Bin 0 -> 117224 bytes images/problemlösender Agent_aufbau.png | Bin 91488 -> 103367 bytes images/robot motion-planing.png | Bin 0 -> 40299 bytes images/search-graph.jpg | Bin 0 -> 52235 bytes parts/Problemlösen durch Suchen.tex | 3 +- 11 files changed, 58 insertions(+), 2 deletions(-) create mode 100644 chapters/Problemlösen durch Suchen/Suchverfahren.tex create mode 100644 images/8-damen-problem1.png create mode 100644 images/8-damen-problem2.png create mode 100644 images/einfache roboter-welt1.png create mode 100644 images/einfache roboter-welt2.png create mode 100644 images/robot motion-planing.png create mode 100644 images/search-graph.jpg diff --git a/Acronyms.tex b/Acronyms.tex index c591aa9..4877987 100644 --- a/Acronyms.tex +++ b/Acronyms.tex @@ -7,4 +7,5 @@ \acro{ML}{Machine Learning} \acro{MI}{Maschinelle Intelligenz} \acro{PEAS}{Performance, Environment, Actuators, Sensors (Leistung, Umgebung, Aktuatoren, Sensoren)} + \acro{TSP}{Traveling Salesman Problem} \end{acronym} \ No newline at end of file diff --git a/chapters/Problemlösen durch Suchen/Suchprobleme.tex b/chapters/Problemlösen durch Suchen/Suchprobleme.tex index 02203f1..2b569f2 100644 --- a/chapters/Problemlösen durch Suchen/Suchprobleme.tex +++ b/chapters/Problemlösen durch Suchen/Suchprobleme.tex @@ -1,2 +1,54 @@ \chapter{Suchprobleme} -\label{suchprobleme} \ No newline at end of file +\label{suchprobleme} + Alle Suchprobleme haben gemeinsam, dass ein Zustandsraum durchlaufen wird. + Es soll von dem Ausgangszustand ausgehend ein Zielzustand (es kann mehrere geben) erreicht werden. + Die Zustandsbeziehungen werden hierbei durch eine Nachfolgerfunktion definiert. + Meist lassen sich Suchprobleme durch einen gerichteten oder ungerichteten Graph darstellen:\\ + \includegraphics[width = \textwidth]{search-graph.jpg} + + \section{Umgebungsmodelle} + \label{suchprobleme: umgebungsmodelle} + Damit Suchprobleme von einem problemlösenden Agenten (\ref{problemloesende agenten}) bearbeitet werden können benötigen sie ein Modell der Umgebung. + Hierbei stellt das Umgebungsmodell eine Abstraktion der realen Welt dar. + Die Abstraktion hat dabei 2 Voraussetzungen: + \begin{itemize} + \item sie muss \textbf{gültig}sein:\\ + jede Lösung kann zu einer Lösung der detaillierten Welt expandiert werden + \item sie muss \textbf{sinnvoll} sein:\\ + die Ausführung der Lösung einfacher ist als das ursprüngliche Problem + \end{itemize} + + \section{Beispiel: einfache Roboter-Welt} + \label{example: einfache roboter-welt} + \includegraphics[width =\textwidth]{einfache roboter-welt1.png} + + \vspace{5mm} + \includegraphics[width =\textwidth]{einfache roboter-welt2.png} + + \section{Beispiel: 8-Damen-Problem} + \label{example: 8-damen-problem} + \includegraphics[width =\textwidth]{8-damen-problem1.png} + + \vspace{5mm} + \includegraphics[width =\textwidth]{8-damen-problem2.png} + + \section{Weitere Zustandsräume} + \label{suchprobleme: weitere zustandsraeume} + Zustandsträume haben meist folgende Eigenschaften: + \begin{itemize} + \item sie sind kontinuierlich + \item sie sind nicht vollständig beobachtbar + \item sie haben stochastische Effekte + \item sie sind oft mehrdimensional + \item die Agenten haben viele Freiheitsgrade + \item es gibt keine perfekte Information + \end{itemize} + Diese Eigenschaften machen es sehr schwer gute Modelle zu entwickeln. + + \paragraph{Beispiele} + \begin{itemize} + \item \ac{TSP} + \item Routenplanung allgemein + \item Robot Motion Planing\\ + \includegraphics[width = .7\textwidth]{robot motion-planing.png} + \end{itemize} \ No newline at end of file diff --git a/chapters/Problemlösen durch Suchen/Suchverfahren.tex b/chapters/Problemlösen durch Suchen/Suchverfahren.tex new file mode 100644 index 0000000..9a6fb40 --- /dev/null +++ b/chapters/Problemlösen durch Suchen/Suchverfahren.tex @@ -0,0 +1,2 @@ +\chapter{Suchverfahren} +\label{suchverfahren} \ No newline at end of file diff --git a/images/8-damen-problem1.png b/images/8-damen-problem1.png new file mode 100644 index 0000000000000000000000000000000000000000..821eae33a91214627b7007d69bc046922bbdd365 GIT binary patch literal 112306 zcma&OcQ}^+`#*l&_RP-6UYQw*NV(0dtc;9|kWJaL?jo6)86i6>6d~EkCYvautdKoI z#`pAkzhCdqas2-JIXWub_jNz7=kpwo^E@AqD@;q{CMgjE5rQD3D#{8v2!g|nAgHGV zSn!ilAM0oYg&-;lvbx@Bztg?^s9R~9rh80P)}JC-f2OdrlKNx0>s5qQ|FUI1dBQ%3 zgObf99CY9r^j&|fC5Is=$l?r+3Ervwmj36jW!$d%MZ#>+Y0b~|H8m;K6}4X5_f6SC 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