finished chapter 2
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {2.3}Best\IeC {\"a}rkendes Lernen}{7}{subsection.2.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {section}{\numberline {3}Neuronale Netze}{7}{section.3}%
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\contentsline {section}{\numberline {3}Neuronale Netze}{8}{section.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {3.1}Maschinelles Lernen und menschliches Lernen}{7}{subsection.3.1}%
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\contentsline {subsection}{\numberline {3.1}Maschinelles Lernen und menschliches Lernen}{8}{subsection.3.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {3.2}Der Aufbau eines neuronalen Netzes}{8}{subsection.3.2}%
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\contentsline {subsection}{\numberline {3.2}Der Aufbau eines neuronalen Netzes}{9}{subsection.3.2}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {3.3}Berechnung des Ausgabevektors}{8}{subsection.3.3}%
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\contentsline {subsection}{\numberline {3.3}Berechnung des Ausgabevektors}{9}{subsection.3.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {3.4}Der Lernprozess}{11}{subsection.3.4}%
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\contentsline {subsection}{\numberline {3.4}Der Lernprozess}{12}{subsection.3.4}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {3.5}Fehlerfunktionen}{12}{subsection.3.5}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsubsection}{\numberline {3.5.1}MSE -- Durchschnittlicher quadratischer Fehler}{12}{subsubsection.3.5.1}%
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\contentsline {subsubsection}{\numberline {3.5.1}MSE -- Durchschnittlicher quadratischer Fehler}{13}{subsubsection.3.5.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsubsection}{\numberline {3.5.2}MAE -- Durchschnitztlicher absoluter Fehler}{12}{subsubsection.3.5.2}%
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\contentsline {subsubsection}{\numberline {3.5.2}MAE -- Durchschnitztlicher absoluter Fehler}{13}{subsubsection.3.5.2}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsubsection}{\numberline {3.5.3}Kreuzentropiefehler}{13}{subsubsection.3.5.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {3.6}Gradientenverfahren und Backpropagation}{14}{subsection.3.6}%
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\contentsline {subsection}{\numberline {3.6}Gradientenverfahren und Backpropagation}{15}{subsection.3.6}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsubsection}{\numberline {3.6.1}Lernrate}{15}{subsubsection.3.6.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {3.7}Verschiedene Layerarten}{16}{subsection.3.7}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsubsection}{\numberline {3.7.1}Convolutional Layers}{16}{subsubsection.3.7.1}%
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\contentsline {subsubsection}{\numberline {3.7.1}Convolutional Layers}{17}{subsubsection.3.7.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsubsection}{\numberline {3.7.2}Pooling Layers}{18}{subsubsection.3.7.2}%
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\contentsline {subsubsection}{\numberline {3.7.2}Pooling Layers}{19}{subsubsection.3.7.2}%
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\defcounter {refsection}{0}\relax
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\contentsline {section}{\numberline {4}PyTorch}{21}{section.4}%
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\contentsline {section}{\numberline {4}PyTorch}{22}{section.4}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {4.1}Datenvorbereitung}{21}{subsection.4.1}%
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\contentsline {subsection}{\numberline {4.1}Datenvorbereitung}{22}{subsection.4.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {4.2}Definieren des Netzes}{21}{subsection.4.2}%
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\contentsline {subsection}{\numberline {4.2}Definieren des Netzes}{22}{subsection.4.2}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {4.3}Trainieren des Netzes}{21}{subsection.4.3}%
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\contentsline {subsection}{\numberline {4.3}Trainieren des Netzes}{22}{subsection.4.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {section}{\numberline {5}Fallbeispiel I:\newline Ein Klassifizierungsnetzwerk f\IeC {\"u}r handgeschriebene Ziffern}{21}{section.5}%
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\contentsline {section}{\numberline {5}Fallbeispiel I:\newline Ein Klassifizierungsnetzwerk f\IeC {\"u}r handgeschriebene Ziffern}{22}{section.5}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {5.1}Aufgabe}{21}{subsection.5.1}%
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\contentsline {subsection}{\numberline {5.1}Aufgabe}{22}{subsection.5.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {5.2}Der MNIST Datensatz}{21}{subsection.5.2}%
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\contentsline {subsection}{\numberline {5.2}Der MNIST Datensatz}{22}{subsection.5.2}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {5.3}Fragmentbasierte Erkennung}{21}{subsection.5.3}%
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\contentsline {subsection}{\numberline {5.3}Fragmentbasierte Erkennung}{22}{subsection.5.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {5.4}Ergebnis}{21}{subsection.5.4}%
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\contentsline {subsection}{\numberline {5.4}Ergebnis}{22}{subsection.5.4}%
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\defcounter {refsection}{0}\relax
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\contentsline {section}{\numberline {6}Fallbeispiel II:\newline Eine selbsttrainierende KI f\IeC {\"u}r Tic-Tac-Toe}{21}{section.6}%
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\contentsline {section}{\numberline {6}Fallbeispiel II:\newline Eine selbsttrainierende KI f\IeC {\"u}r Tic-Tac-Toe}{22}{section.6}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {6.1}Das Prinzip}{21}{subsection.6.1}%
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\contentsline {subsection}{\numberline {6.1}Das Prinzip}{22}{subsection.6.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {6.2}Chance-Tree Optimierung}{21}{subsection.6.2}%
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\contentsline {subsection}{\numberline {6.2}Chance-Tree Optimierung}{22}{subsection.6.2}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {6.3}L\IeC {\"o}sung mittels eines neuronalen Netzes}{21}{subsection.6.3}%
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\contentsline {subsection}{\numberline {6.3}L\IeC {\"o}sung mittels eines neuronalen Netzes}{22}{subsection.6.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {6.4}Vergleich}{21}{subsection.6.4}%
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\contentsline {subsection}{\numberline {6.4}Vergleich}{22}{subsection.6.4}%
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\defcounter {refsection}{0}\relax
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\contentsline {section}{\numberline {7}Schlusswort}{21}{section.7}%
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\contentsline {section}{\numberline {7}Schlusswort}{22}{section.7}%
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