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June 7, 2021 13:09
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Latex macros
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\usepackage{amsmath,amsfonts,amssymb,bm,mathtools} | |
%\usepackage[usenames,dvipsnames]{xcolor} | |
\newcommand{\vect}[1]{\mathbf{#1}} % Vector | |
\newcommand{\mat}[1]{\mathbf{#1}} % Matrix | |
\newcommand{\vx}{\vect{x}} | |
\newcommand{\vw}{\vect{w}} | |
\newcommand{\vv}{\vect{v}} | |
\newcommand{\vy}{\vect{y}} | |
\newcommand{\vz}{\vect{z}} | |
\newcommand{\vzero}{\vect{0}} | |
\newcommand{\eye}{\mathbb{I}} | |
\newcommand{\br}[1]{\mathopen{}\left(#1\right)\mathclose{}} % Brackets | |
\newcommand{\sqbr}[1]{\mathopen{}\left[#1\right]\mathclose{}} % Square brackets | |
\newcommand{\clrbr}[1]{\mathopen{}\left\{#1\right\}\mathclose{}} % Curly brackets | |
\newcommand{\set}[1]{\left\{#1\right\}} | |
\newcommand{\pair}[2]{\br{#1,#2}} | |
\newcommand{\abs}[1]{\left|#1\right|} % Absolute value | |
%\newcommand{\norm}[2]{\left\|#1\right\|_#2} % Norm | |
\newcommand{\norm}[1]{\left\lVert#1\right\rVert} % Norm | |
\newcommand{\bigo}[1]{\mathcal{O}\br{#1}} % Big O | |
\newcommand{\expect}[2]{{\mathop{{}\mathbb{E}}}_{#2}\sqbr{#1}} % Expectation | |
% Calculus | |
\newcommand{\integral}[2]{\int#1\operatorname{d}\!#2} | |
\newcommand{\sigm}[1]{\sigma\br{#1}} | |
\newcommand{\sigminv}[1]{\sigma^{-1}\br{#1}} | |
\newcommand{\diff}[1]{\operatorname{d}\!{#1}} | |
\newcommand{\deriv}[2]{\frac{\partial{#1}}{\partial{#2}}} | |
%\newcommand{\deriv}[2]{\frac{\partial{}}{\partial{#2}}#1} | |
\newcommand{\grad}[2]{\nabla_{#1}#2} | |
\newcommand{\tp}[1]{{#1}^\top} % Transpose | |
\newcommand{\prob}[1]{p\br{#1}} % Probability | |
\newcommand{\g}{\,|\,} % Given | |
\newcommand{\kl}[2]{D_{\mathrm{KL}}\br{#1\,\|\,#2}} % KL divergence | |
\newcommand{\real}{\mathbb{R}} | |
\newcommand{\sphere}{\mathbb{S}} | |
\newcommand{\torus}{\mathbb{T}} | |
% Standard distributions | |
\newcommand{\gaussian}[2]{\mathcal{N}\br{#1,#2}} | |
\newcommand{\gaussianx}[3]{\mathcal{N}\br{#1\g #2,#3}} | |
\newcommand{\uniform}[2]{\mathcal{U}\br{#1,#2}} | |
\newcommand{\uniformx}[3]{\mathcal{U}\br{#1\g #2,#3}} | |
% TODOs | |
%\newcommand{\todo}[1]{\textcolor{red}{\texttt{TODO:} #1}} | |
\newcommand{\todo}[1]{\textcolor{red}{\textit{#1}}} | |
\newcommand{\eg}{e.g.\ } | |
\newcommand{\ie}{i.e.\ } | |
\newcommand{\st}{s.t.\ } | |
\newcommand{\etc}{etc.\ } | |
\newcommand{\sota}{state-of-the-art } | |
\newcommand{\nb}{N.B.\ } | |
% Operators | |
\DeclareMathOperator{\logit}{logit} | |
\DeclareMathOperator{\softplus}{softplus} | |
\DeclareMathOperator*{\argmax}{\arg\!\max} | |
\DeclareMathOperator*{\argmin}{\arg\!\min} |
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