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\@writefile{toc}{\contentsline {section}{\numberline {1}Minimize a quartic function using gradient descent}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Gradient descent pseudocode for 1D case}{2}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Pseudocode for gradient descent in 1D.}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Example: Applying gradient descent to quartic()}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {2}quartic.m defines f(x).}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {3}quartic\_df.m defines f'(x)}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {4}Calling gradient\_descent1 for the quartic function.}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Exercise: Applying gradient descent to sag()}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Gradient Descent in Higher Dimensions}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Gradient descent pseudocode for multiple dimensions}{4}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {5}Pseudocode for gradient descent in multiple dimensions.}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {7}Example: Applying gradient descent to hex2()}{5}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {6}Definitions of f(x) for hex2().}{5}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {7}Definitions of f'(x) for hex2().}{5}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {8}Calling gradient\_descent2 for hex2().}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {8}Exercise: Applying gradient descent to rosenbrock()}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {9}Gradient Descent for data fitting}{7}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {9}Evaluate f(bm) for Ford data}{7}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {10}Evaluate gradient $\nabla (f)$ for Ford data}{7}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {11}Return the values of the Ford data}{7}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {12}Calling gradient\_descent2 for the Ford data.}{8}}
\@writefile{toc}{\contentsline {section}{\numberline {10}Example: Gradient descent to fit Ford data}{8}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {13}Output for gradient\_descent2 on Ford data}{8}}
\@writefile{toc}{\contentsline {section}{\numberline {11} No Computing Assignment for this Lab!}{8}}