Finished paper roguely
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Clemens Dautermann
parent
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3a923b278c
12 changed files with 390 additions and 288 deletions
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\boolfalse {citerequest}\boolfalse {citetracker}\boolfalse {pagetracker}\boolfalse {backtracker}\relax
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\babel@toc {ngerman}{}
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\defcounter {refsection}{0}\relax
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\contentsline {section}{\numberline {1}Was ist maschinelles Lernen?}{3}{section.1}%
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\contentsline {section}{\numberline {1}Was ist maschinelles Lernen?}{2}{section.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {1.1}Klassifizierungsprobleme}{3}{subsection.1.1}%
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\contentsline {subsection}{\numberline {1.1}Klassifizierungsprobleme}{2}{subsection.1.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {1.2}Regressionsprobleme}{4}{subsection.1.2}%
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\contentsline {subsection}{\numberline {1.2}Regressionsprobleme}{3}{subsection.1.2}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {1.3}Gefahren von maschinellem Lernen}{5}{subsection.1.3}%
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\contentsline {subsection}{\numberline {1.3}Gefahren von maschinellem Lernen}{4}{subsection.1.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsubsection}{\numberline {1.3.1}Die Daten}{5}{subsubsection.1.3.1}%
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\contentsline {subsubsection}{\numberline {1.3.1}Die Daten}{4}{subsubsection.1.3.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsubsection}{\numberline {1.3.2}Overfitting}{6}{subsubsection.1.3.2}%
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\contentsline {subsubsection}{\numberline {1.3.2}Overfitting}{5}{subsubsection.1.3.2}%
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\defcounter {refsection}{0}\relax
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\contentsline {section}{\numberline {2}Verschiedene Techniken maschinellen Lernens}{7}{section.2}%
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\contentsline {section}{\numberline {2}Verschiedene Techniken maschinellen Lernens}{6}{section.2}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {2.1}\IeC {\"U}berwachtes Lernen}{7}{subsection.2.1}%
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\contentsline {subsection}{\numberline {2.1}\IeC {\"U}berwachtes Lernen}{6}{subsection.2.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {2.2}Un\IeC {\"u}berwachtes Lernen}{7}{subsection.2.2}%
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\contentsline {subsection}{\numberline {2.2}Un\IeC {\"u}berwachtes Lernen}{6}{subsection.2.2}%
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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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\contentsline {subsection}{\numberline {2.3}Best\IeC {\"a}rkendes Lernen}{6}{subsection.2.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {section}{\numberline {3}Neuronale Netze}{8}{section.3}%
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\contentsline {section}{\numberline {3}Neuronale Netze}{7}{section.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {3.1}Maschinelles Lernen und menschliches Lernen}{8}{subsection.3.1}%
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\contentsline {subsection}{\numberline {3.1}Maschinelles Lernen und menschliches Lernen}{7}{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}{9}{subsection.3.2}%
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\contentsline {subsection}{\numberline {3.2}Der Aufbau eines neuronalen Netzes}{8}{subsection.3.2}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {3.3}Berechnung des Ausgabevektors}{9}{subsection.3.3}%
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\contentsline {subsection}{\numberline {3.3}Berechnung des Ausgabevektors}{8}{subsection.3.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {3.4}Der Lernprozess}{12}{subsection.3.4}%
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\contentsline {subsection}{\numberline {3.4}Der Lernprozess}{11}{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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\contentsline {subsection}{\numberline {3.5}Fehlerfunktionen}{11}{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}{13}{subsubsection.3.5.1}%
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\contentsline {subsubsection}{\numberline {3.5.1}MSE -- Durchschnittlicher quadratischer Fehler}{12}{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}{13}{subsubsection.3.5.2}%
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\contentsline {subsubsection}{\numberline {3.5.2}MAE -- Durchschnitztlicher absoluter Fehler}{12}{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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\contentsline {subsubsection}{\numberline {3.5.3}Kreuzentropiefehler}{12}{subsubsection.3.5.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {3.6}Gradientenverfahren und Backpropagation}{15}{subsection.3.6}%
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\contentsline {subsection}{\numberline {3.6}Gradientenverfahren und Backpropagation}{14}{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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\contentsline {subsubsection}{\numberline {3.6.1}Lernrate}{14}{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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\contentsline {subsection}{\numberline {3.7}Verschiedene Layerarten}{15}{subsection.3.7}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsubsection}{\numberline {3.7.1}Convolutional Layers}{17}{subsubsection.3.7.1}%
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\contentsline {subsubsection}{\numberline {3.7.1}Convolutional Layers}{16}{subsubsection.3.7.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsubsection}{\numberline {3.7.2}Pooling Layers}{19}{subsubsection.3.7.2}%
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\contentsline {subsubsection}{\numberline {3.7.2}Pooling Layers}{18}{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}{20}{section.4}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {4.1}Datenvorbereitung}{22}{subsection.4.1}%
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\contentsline {subsection}{\numberline {4.1}Datenvorbereitung}{21}{subsection.4.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {4.2}Definieren des Netzes}{23}{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}{25}{subsection.4.3}%
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\contentsline {subsection}{\numberline {4.3}Trainieren des Netzes}{24}{subsection.4.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {4.4}Pytorch und weights and biases}{26}{subsection.4.4}%
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\contentsline {subsection}{\numberline {4.4}Pytorch und weights and biases}{25}{subsection.4.4}%
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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}{27}{section.5}%
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\contentsline {section}{\numberline {5}Ein Klassifizierungsnetzwerk f\IeC {\"u}r handgeschriebene Ziffern}{26}{section.5}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {5.1}Aufgabe}{27}{subsection.5.1}%
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\contentsline {subsection}{\numberline {5.1}Aufgabe}{26}{subsection.5.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {5.2}Der MNIST Datensatz}{27}{subsection.5.2}%
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\contentsline {subsection}{\numberline {5.2}Der MNIST Datensatz}{26}{subsection.5.2}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {5.3}Das Netz}{28}{subsection.5.3}%
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\contentsline {subsection}{\numberline {5.3}Das Netz}{26}{subsection.5.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {5.4}Ergebnis}{28}{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}{28}{section.6}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {6.1}Das Prinzip}{28}{subsection.6.1}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {6.2}Chance-Tree Optimierung}{28}{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}{28}{subsection.6.3}%
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\defcounter {refsection}{0}\relax
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\contentsline {subsection}{\numberline {6.4}Vergleich}{28}{subsection.6.4}%
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\defcounter {refsection}{0}\relax
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\contentsline {section}{\numberline {7}Schlusswort}{28}{section.7}%
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\contentsline {section}{\numberline {6}Schlusswort}{28}{section.6}%
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