\relax \providecommand\hyper@newdestlabel[2]{} \catcode `"\active \providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} \HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined \global\let\oldcontentsline\contentsline \gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} \global\let\oldnewlabel\newlabel \gdef\newlabel#1#2{\newlabelxx{#1}#2} \gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} \AtEndDocument{\ifx\hyper@anchor\@undefined \let\contentsline\oldcontentsline \let\newlabel\oldnewlabel \fi} \fi} \global\let\hyper@last\relax \gdef\HyperFirstAtBeginDocument#1{#1} \providecommand\HyField@AuxAddToFields[1]{} \providecommand\HyField@AuxAddToCoFields[2]{} \abx@aux@refcontext{nty/global//global/global} \@writefile{toc}{\boolfalse {citerequest}\boolfalse {citetracker}\boolfalse {pagetracker}\boolfalse {backtracker}\relax } \@writefile{lof}{\boolfalse {citerequest}\boolfalse {citetracker}\boolfalse {pagetracker}\boolfalse {backtracker}\relax } \@writefile{lot}{\boolfalse {citerequest}\boolfalse {citetracker}\boolfalse {pagetracker}\boolfalse {backtracker}\relax } \babel@aux{ngerman}{} \abx@aux@cite{1} \abx@aux@segm{0}{0}{1} \abx@aux@cite{2} \abx@aux@segm{0}{0}{2} \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {1}Was ist maschinelles Lernen?}{3}{section.1}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Einsatzgebiete maschinellen Lernens}{3}{subsection.1.1}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {2}Neuronale Netze}{3}{section.2}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Maschinelles Lernen und menschliches Lernen}{3}{subsection.2.1}\protected@file@percent } \@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Neuron \newline Quelle: simple.wikipedia.org/wiki/File:Neuron.svg\newline Copyright: CC Attribution-Share Alike von Nutzer Dhp1080,\newline bearbeitet}}{4}{figure.1}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Der Aufbau eines neuronalen Netzes}{4}{subsection.2.2}\protected@file@percent } \@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Ein einfaches neuronales Netz}}{5}{figure.2}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Berechnung des Ausgabevektors}{6}{subsection.2.3}\protected@file@percent } \@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Der Plot der Sigmoid Funktion $\sigma (x)=\frac {e^x}{e^x+1}$}}{6}{figure.3}\protected@file@percent } \@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Formel zur Berechnung eines Ausgabevektors aus einem Eingabevektor durch ein Layer Neuronen. }}{7}{figure.4}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {2.4}Der Lernprozess}{8}{subsection.2.4}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.4.1}Fehlerfunktionen}{9}{subsubsection.2.4.1}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.4.2}Gradientenverfahren}{9}{subsubsection.2.4.2}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {2.5}Verschiedene Layerarten}{9}{subsection.2.5}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.1}Fully connected Layers}{9}{subsubsection.2.5.1}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.2}Convolutional Layers}{9}{subsubsection.2.5.2}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.5.3}Pooling Layers}{9}{subsubsection.2.5.3}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {3}PyTorch}{9}{section.3}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Datenvorbereitung}{9}{subsection.3.1}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Definieren des Netzes}{9}{subsection.3.2}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Trainieren des Netzes}{9}{subsection.3.3}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {4}Fallbeispiel I:\newline Ein Klassifizierungsnetzwerk f\IeC {\"u}r handgeschriebene Ziffern}{9}{section.4}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {4.1}Aufgabe}{9}{subsection.4.1}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {4.2}Der MNIST Datensatz}{9}{subsection.4.2}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {4.3}Fragmentbasierte Erkennung}{9}{subsection.4.3}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {4.4}Ergebnis}{9}{subsection.4.4}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {5}Fallbeispiel II:\newline Eine selbsttrainierende KI f\IeC {\"u}r Tic-Tac-Toe}{9}{section.5}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {5.1}Das Prinzip}{9}{subsection.5.1}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {5.2}Chance-Tree Optimierung}{9}{subsection.5.2}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {5.3}L\IeC {\"o}sung mittels eines neuronalen Netzes}{9}{subsection.5.3}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {5.4}Vergleich}{9}{subsection.5.4}\protected@file@percent } \@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {6}Schlusswort}{9}{section.6}\protected@file@percent } \bibcite{1}{1} \bibcite{2}{2}