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preamble.tex
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\usepackage{amsmath,amssymb,amsthm,graphicx,color}
\newcommand{\slidetwo}[2]{\vfill
\vfill
\centerline{\Large\thepage}
\eject
\centerline{\bf #1}
\bigskip
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\newcommand{\slide}[1]{
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\centerline{\Large\thepage}
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\newcommand{\anaslide}[1]{
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\newcommand{\anaslideplain}[1]{
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\newcommand{\bigsum}[2]{\mathop{{\huge \Sigma}}_{#1}^{#2}\;}
\newcommand{\tail}[1]{\Phi\left(#1\right)}
\newcommand{\Rmax}{R_{\max}}
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\newcommand{\domx}{{\cal X}}
\newcommand{\domy}{{\cal Y}}
\newcommand{\domr}{{\cal R}}
\newcommand{\var}[1]{\mbox{\tt{"}}#1\mbox{\tt{"}}}
\newcommand{\phrase}[1]{{\mathrm Phrase}(#1)}
\newcommand{\branch}[1]{{\mathrm Branch}(#1)}
\newcommand{\terminal}[1]{{\mathrm Terminal}(#1)}
\newcommand{\mtt}[1]{\mbox{\tt #1}}
\newtheorem{theorem}{\noindent Theorem}
\newtheorem{lemma}[theorem]{\noindent Lemma}
\newtheorem{observation}[theorem]{\noindent Observation}
\newtheorem{corollary}[theorem]{\noindent Corollary}
\newtheorem{conjecture}[theorem]{\noindent Conjecture}
\newtheorem{proposition}[theorem]{\noindent Proposition}
\newtheorem{example}{\noindent Example}
\newtheorem{definition}{\noindent Definition}
\newtheorem{claim}[theorem]{\noindent Claim}
\newtheorem{fact}[theorem]{\noindent Fact}
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\DeclareMathOperator*{\locmin}{locmin}
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\newcommand{\brackets}[1]{\left[#1\right]}
\newcommand{\nn}{\nonumber \\}
\newcommand{\expect}[1]{\mathrm{E}\left[#1\right]}
\newcommand{\expectsub}[2]{E_{#1}\;#2}
\newcommand{\probsub}[2]{\mathrm{P}_{#1}\left[#2\right]}
\newcommand{\tuple}[1]{{\mbox{$\langle#1\rangle$}}}
\newcommand{\floor}[1]{\left\lfloor #1 \right\rfloor}
\newcommand{\xmean}{\expect{X}}
\newcommand{\xxmean}{\overline{x}}
\newcommand{\sbound}{\tilde{\sigma}}
\newcommand{\betamin}{\beta_{\min}}
\newcommand{\betamax}{\beta_{\max}}
\newcommand{\xmin}{x_{\min}}
\newcommand{\xmax}{x_{\max}}
\newcommand{\expectbeta}[1]{\expectsub{\beta}{#1}}
\newcommand{\calx}{{\cal X}}
\newcommand{\caly}{{\cal Y}}
\newcommand{\dint}{\int\!\!\!\!\int}
\newcommand{\classcount}[1]{\mathrm{c}(#1)}
\newcommand{\smallprod}{{\prod}}
\newcommand{\ignore}[1]{}
\newcommand{\weight}[1]{{\mathrm Weight}(#1)}
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\newcommand{\econtext}[1]{{\mathrm EContext}(#1)}
\newcommand{\sstop}{{\mathrm stop}}
\newcommand{\sstart}{{\mathrm start}}
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\parbox[t]{2.0in}{#2}}
\newcommand{\tightsidebyside}[2]{\parbox[t]{2.0in}{#1}\hspace{.3in}
\parbox[t]{2.0in}{#2}}
\newcommand{\subproves}[1]{\,\;\vdash\!\!_{#1}\;\,}
\def\ant#1{\\ \> $#1$}
\def\unnamed#1#2{
\parbox{2.0in}{
\begin{tabbing}
\hspace{1em}\= #1 \\ \> \parbox{.75in}{\noindent \hrule ~} #2
\end{tabbing}
}}
\newcommand{\type}{\mathbf{Type}}
\newcommand{\abs}{\text{\emph{abs}}}
\newcommand{\reals}{\mathbb{R}}
\newcommand{\complex}{\mathbb{C}}
\newcommand{\grad}{\mathrm{grad}}
\newcommand{\pop}{\mathrm{Pop}}
\newcommand{\train}{\mathrm{Train}}
\newcommand{\popd}{\mathrm{pop}}
\newcommand{\rmvalue}{\mathrm{value}}
\newcommand{\kl}{\mathrm{KL}}
\newcommand{\pluseq}{\mbox{\tt +=}}
\newcommand{\minuseq}{\mbox{\tt -=}}
\newcommand{\cev}[1]{\reflectbox{\ensuremath{\vec{\reflectbox{\ensuremath{#1}}}}}}
\newcommand{\dvec}[1]{\stackrel{\leftrightarrow}{#1}}
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\newcommand{\bbone}{\mathbf{1}}
\newcommand{\intype}[2]{#1\!:\!#2}
\def\dcolon{\mathrel{:}\joinrel\mathrel{\mkern+5mu}\joinrel\mathrel{:}}
\newcommand{\inntype}[2]{#1\dcolon#2}
\newcommand{\bool}{\mathrm{\bf Bool}}
\newcommand{\relu}{\mathrm{ReLU}}
\newcommand{\conv}{\mathrm{CONV}}
\newcommand{\pad}{\mathrm{pad}}
\newcommand{\stride}{\mathrm{stride}}
\newcommand{\images}{../images}
\newcommand{\gen}{\mathrm{gen}}
\newcommand{\disc}{\mathrm{disc}}
\newcommand{\pri}{\mathrm{pri}}
\newcommand{\enc}{\mathrm{enc}}
\newcommand{\dec}{\mathrm{dec}}
\newcommand{\pred}{\mathrm{pred}}
\newcommand{\score}{\mathrm{score}}