\def\f{\mathbf{f}}
\def\g{\mathbf{g}}
\def\x{\mathbf{x}}
\def\y{\mathbf{y}}
\def\z{\mathbf{z}}
\def\w{\mathbf{w}}
\def\m{\mathbf{m}}
\def\k{\mathbf{k}}
\def\s{\mathbf{s}}
\def\bu{\mathbf{u}}
\def\q{\mathbf{q}}
\def\a{\mathbf{a}}
\def\t{\mathbf{t}}


\def\0{\mathbf{0}}
\def\1{\mathbf{1}}
\def\X{\mathbf{X}}
\def\K{\mathbf{K}}
\def\Z{\mathbf{Z}}
\def\U{\mathbf{U}}
\def\S{\mathbf{S}}
\def\Q{\mathbf{Q}}
\def\Y{\mathbf{Y}}
\def\M{\mathbf{M}}
\def\W{\mathbf{W}}
\def\A{\mathbf{A}}
\def\B{\mathbf{B}}
\def\bL{\mathbf{L}}

\newcommand{\ga}{{\gamma}}
\newcommand{\si}{{\sigma}}
\newcommand{\ve}{\varepsilon}
\renewcommand{\l}{{\ell}}


\newcommand{\bl}{{\boldsymbol\ell}}
\newcommand{\bg}{\boldsymbol\gamma}
\newcommand{\bmu}{\boldsymbol\mu}
\newcommand{\bnu}{\boldsymbol\nu}
\newcommand{\ba}{\boldsymbol{\alpha}}
\newcommand{\bt}{{\boldsymbol{\theta}}}
\newcommand{\bo}{\boldsymbol{\omega}}
\newcommand{\be}{\boldsymbol{\epsilon}}
\newcommand{\bxi}{\boldsymbol{\xi}}
\newcommand{\bsi}{{\boldsymbol{\sigma}}}
\newcommand{\bpi}{{\boldsymbol{\pi}}}
\newcommand{\bphi}{\boldsymbol{\phi}}
\newcommand{\bve}{\boldsymbol\varepsilon}


\renewcommand{\O}{{\Omega}}
\renewcommand{\L}{\mathcal{L}}
\newcommand{\bS}{{\Sigma}}
\newcommand{\bPhi}{\boldsymbol{\Phi}}
\newcommand{\bO}{\boldsymbol{\Omega}}

\def\R{\mathbb{R}}
\def\E{\mathbb{E}}
\def\N{\mathcal{N}}
\def\GP{\mathcal{GP}}
\def\LP{\textit{Laplace}}

\def\eye{\textbf{\textrm{I}}}
\def\rmse{\mathrm{rmse}}

\newcommand*{\Scale}[2][4]{\scalebox{#1}{$#2$}}%
\newcommand*{\Resize}[2]{\resizebox{#1}{!}{$#2$}}%

\DeclareMathOperator{\diag}{diag}
\DeclareMathOperator{\KL}{KL}
\DeclareMathOperator{\mean}{mean}
\DeclareMathOperator{\cov}{\mathrm{cov}}
\DeclareMathOperator{\Var}{\textbf{var}}
\DeclareMathOperator*{\argmin}{arg\,min}
\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator{\vect}{vec}

\newcommand{\gray}[1]{\textcolor{lightgray}{#1}}
\newcommand{\blue}[1]{\textcolor{blue}{#1}}
\newcommand{\orange}[1]{\textcolor{orange}{#1}}
\newcommand{\red}[1]{\textcolor{darkred}{#1}}
\newcommand{\green}[1]{\textcolor{cadmiumgreen}{#1}}
