\relax 
\providecommand\hyper@newdestlabel[2]{}
\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*\HyPL@Entry[1]{}
\HyPL@Entry{0<</P(1)>>}
\providecommand \oddpage@label [2]{}
\@writefile{toc}{\beamer@endinputifotherversion {3.36pt}}
\@writefile{nav}{\beamer@endinputifotherversion {3.36pt}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}}
\HyPL@Entry{1<</P(2)>>}
\newlabel{overview-of-optimization}{{2}{2}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {overview-of-optimization}{2}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{2}{2/2}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}}
\HyPL@Entry{2<</P(3)>>}
\newlabel{overview-of-optimization}{{3}{3}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {overview-of-optimization}{3}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{3}{3/3}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
\HyPL@Entry{3<</P(4)>>}
\newlabel{an-informal-definition-of-optimization}{{4}{4}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {an-informal-definition-of-optimization}{4}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{4}{4/4}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}}
\HyPL@Entry{4<</P(5)>>}
\newlabel{applications}{{5}{5}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {applications}{5}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{5}{5/5}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {5}{5}}}
\HyPL@Entry{5<</P(6)>>}
\newlabel{more-formally}{{6}{6}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {more-formally}{6}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{6}{6/6}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {6}{6}}}
\HyPL@Entry{6<</P(7)>>}
\newlabel{optimization-is-a-large-area-of-research}{{7}{7}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {optimization-is-a-large-area-of-research}{7}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{7}{7/7}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {7}{7}}}
\HyPL@Entry{7<</P(8)>>}
\newlabel{optimization-for-machine-learning}{{8}{8}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {optimization-for-machine-learning}{8}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{8}{8/8}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {8}{8}}}
\HyPL@Entry{8<</P(9)>>}
\newlabel{gradient-descent}{{9}{9}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {gradient-descent}{9}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{9}{9/9}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {9}{9}}}
\HyPL@Entry{9<</P(10)>>}
\newlabel{gradient-descent-motivation}{{10}{10}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {gradient-descent-motivation}{10}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{10}{10/10}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {10}{10}}}
\HyPL@Entry{10<</P(11)>>}
\newlabel{outline-of-gradient-descent-algorithm}{{11}{11}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {outline-of-gradient-descent-algorithm}{11}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{11}{11/11}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {11}{11}}}
\HyPL@Entry{11<</P(12)>>}
\newlabel{outline-of-gradient-descent-algorithm}{{12}{12}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {outline-of-gradient-descent-algorithm}{12}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{12}{12/12}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {12}{12}}}
\HyPL@Entry{12<</P(13)>>}
\newlabel{gradient-descent-with-momentum}{{13}{13}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {gradient-descent-with-momentum}{13}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{13}{13/13}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {13}{13}}}
\HyPL@Entry{13<</P(14)>>}
\newlabel{outline-of-gradient-descent-algorithm}{{14}{14}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {outline-of-gradient-descent-algorithm}{14}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{14}{14/14}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {14}{14}}}
\HyPL@Entry{14<</P(15)>>}
\newlabel{some-convergence-criteria}{{15}{15}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {some-convergence-criteria}{15}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{15}{15/15}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {15}{15}}}
\HyPL@Entry{15<</P(16)>>}
\newlabel{checkgrad}{{16}{16}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {checkgrad}{16}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{16}{16/16}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {16}{16}}}
\HyPL@Entry{16<</P(17)>>}
\newlabel{sgd}{{17}{17}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {sgd}{17}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{17}{17/17}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {17}{17}}}
\HyPL@Entry{17<</P(18)>>}
\newlabel{sgd2}{{18}{18}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {sgd2}{18}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{18}{18/18}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {18}{18}}}
\HyPL@Entry{18<</P(19)>>}
\newlabel{demo}{{19}{19}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {demo}{19}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{19}{19/19}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {19}{19}}}
\HyPL@Entry{19<</P(20)>>}
\newlabel{convexity}{{20}{20}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {convexity}{20}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{20}{20/20}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {20}{20}}}
\HyPL@Entry{20<</P(21)>>}
\newlabel{definition-of-convexity}{{21}{21}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {definition-of-convexity}{21}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{21}{21/21}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {21}{21}}}
\HyPL@Entry{21<</P(22)>>}
\newlabel{why-do-we-care-about-convexity}{{22}{22}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {why-do-we-care-about-convexity}{22}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{22}{22/22}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {22}{22}}}
\HyPL@Entry{22<</P(23)>>}
\newlabel{examples-of-convex-functions}{{23}{23}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {examples-of-convex-functions}{23}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{23}{23/23}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {23}{23}}}
\HyPL@Entry{23<</P(24)>>}
\newlabel{examples-of-convex-functions}{{24}{24}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {examples-of-convex-functions}{24}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{24}{24/24}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {24}{24}}}
\HyPL@Entry{24<</P(25)>>}
\newlabel{convexity-for-logistic-regression}{{25}{25}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {convexity-for-logistic-regression}{25}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{25}{25/25}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {25}{25}}}
\HyPL@Entry{25<</P(26)>>}
\newlabel{more-on-optimization}{{26}{26}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {more-on-optimization}{26}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{26}{26/26}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {26}{26}}}
\@writefile{nav}{\headcommand {\beamer@partpages {1}{26}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{26}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{26}}}
\@writefile{nav}{\headcommand {\beamer@documentpages {26}}}
\@writefile{nav}{\headcommand {\def \inserttotalframenumber {26}}}
