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header.tex
\newtheorem{proposition}{Proposition} \newtheorem{theorem}{Theorem} \newtheorem{definition}{Definition} \newtheorem{lemma}{Lemma} \newtheorem{conjecture}{Conjecture} \newtheorem{corollary}{Corollary} \newtheorem{remark}{Remark} \newtheorem{assumption}{Assumption} \newtheorem{step}{Step} \DeclareMathOperator*{\argmin}{arg\; min} % argmin \DeclareMathOperator*{\argmax}{arg\; max} % argmax \DeclareMathOperator*{\tr}{tr} % trace \DeclareMathOperator{\Cov}{Cov} \DeclareMathOperator{\logdet}{log\;det} \DeclareMathOperator{\rank}{rank} \newtheorem{mydef}{Definition} \newtheorem{mylem}{Lemma} \newtheorem{mythe}{Theorem} \newtheorem{myrem}{Remark} \newtheorem{myalg}{Algorithm} \newtheorem{mycol}{Corollary} \newtheorem{myegg}{Example} \newtheorem{myass}{Assumption} \newtheorem{myprob}{Problem} \newcommand{\RR}{\mathbb{R}} \newcommand{\bbS}{\mathbb{S}} \newcommand{\ha}{\hat{a}} \newcommand{\hb}{\hat{b}} \newcommand{\hc}{\hat{c}} \newcommand{\hk}{\hat{k}} \newcommand{\din}{\textrm{dim}} \newcommand{\diag}{\textrm{diag}} \newcommand{\al}{\alpha} \newcommand{\mG}{\mathcal{G}} \newcommand{\mH}{\mathcal{H}} \newcommand{\mC}{\mathcal{C}} \newcommand{\mK}{\mathcal{K}} \newcommand{\mS}{\mathcal{S}} \newcommand{\mW}{\mathcal{W}} \newcommand{\mZ}{\mathcal{Z}} \newcommand{\mE}{\mathcal{E}} \newcommand{\mPhi}{\mathcal{Phi}} \newcommand{\ga}{\gamma}