math.tex

\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator*{\argmin}{arg\,min}
\DeclareMathOperator*{\st}{s.t.}
\newcommand{\Min}{\min}
\newcommand{\Max}{\max}
\newcommand{\len}[1]{||#1||}
\newcommand{\nll}{{\rm \emph{null}}}
\newcommand{\Ind}{\textbf{1}}
\newcommand{\likelihood}{\mathcal{L}}
\newcommand{\obj}{\mathcal{O}}
\newcommand{\D}[2]{\frac{\partial #1}{\partial #2}}

%%Bold letters
\newcommand{\bx}{\mathbf{x}}
\newcommand{\by}{\mathbf{y}}
\newcommand{\bz}{\mathbf{z}}
\newcommand{\bX}{\mathbf{X}}
\newcommand{\bY}{\mathbf{Y}}
\newcommand{\bZ}{\mathbf{Z}}

%%Set symbols
\newcommand{\Y}{\mathcal{Y}}
\newcommand{\X}{\mathcal{X}}
\newcommand{\V}{\mathcal{V}}
\newcommand{\Vs}{\mathcal{S}}

%%Inner product
\newcommand{\ip}[2]{#1\cdot#2 }


%%Norms
\newcommand{\vectornorm}[2]{\left|\left|#1\right|\right|_{#2}}
\newcommand{\KL}{\mathop{\rm KL}}


\newcommand{\Xp}{\mathbf{E}}
\newcommand{\XpD}{\mathbf{\widehat{E}}}


\newcommand{\sent}{\bar{\bx}}
\newcommand{\obs}{\bx}
\newcommand{\vocab}{\Sigma}
\newcommand{\statevocab}{\Lambda}
\newcommand{\vv}{{v}}
\newcommand{\state}{{s}}
\newcommand{\hseq}{\bar{\by}}
\newcommand{\hs}{\by}
\newcommand{\hvocab}{\mathbf{Y}}
\newcommand{\hv}{{y}}
\newcommand{\W}{\boldsymbol{w}}
\newcommand{\F}{\boldsymbol{f}}
%%p(x,y)
\newcommand{\joint}{p_{\theta}(\sent ,\hseq)}
%%p(x)
\newcommand{\marginal}{p_{\theta}(\sent)}
%%p(y|x)
\newcommand{\posterior}{p_{\theta}(\hseq \mid \sent)}
%%aux q(z)
\newcommand{\auxq}{q(\hseq \mid \sent)}
%%Q
\newcommand{\setQ}{\Q_{\sent}}
\newcommand {\trex}{\bar{\bx},\bar{\by} \in \mathcal{D}}

\newcommand{\out}[1]{}