$$
\newcommand{\ELBO}[2]{\mathcal{J}(#1,#2)}

\newcommand{\R}{\mathcal{R}}

\newcommand{\ELBORTheta}{\ELBO{\R}{\pmb{\theta}}}

\newcommand{\Var}{\mathbb{V}}

\newcommand{\Esp}{\mathbb{E}}

\newcommand{\Prob}{\mathbb{P}}

\newcommand{\calL}{\mathcal{L}}

\newcommand{\Normal}{\mathcal{N}}

\DeclareMathOperator{\ilr}{ilr}

\DeclareMathOperator{\clr}{clr}

\DeclareMathOperator{\Cat}{Cat}
$$
