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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.}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Example: Applying gradient descent to quartic()}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {2}Definitions of f(x) and f'(x)}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {3}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}}
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\@writefile{toc}{\contentsline {section}{\numberline {7}Example: Applying gradient descent to hex2()}{5}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {5}Definitions of f(x) and f'(x) for hex2().}{5}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {6}Calling gradient\_descent2 for hex2().}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {8}Gradient Descent for data fitting}{6}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {7}Evaluate f(bm) for Ford data}{6}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {8}Evaluate gradient $\nabla (f)$ for Ford data}{6}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {9}Return the values of the Ford data}{7}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {10}Calling gradient\_descent2 for the Ford data.}{7}}
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\@writefile{toc}{\contentsline {section}{\numberline {10} Computing Assignment \#5}{8}}