How to Land a Frontier Lab Job

$$<br>\newcommand{\bsth}{{\boldsymbol\theta}}<br>\newcommand{\nptime}{\textsf{NP}}<br>\newcommand{\ptime}{\textsf{P}}<br>\newcommand{\disteq}{\overset{d}{=}}<br>%linalg<br>\newcommand{\mat}[1]{\begin{pmatrix} #1 \end{pmatrix}}<br>\newcommand{\detmat}[1]{\begin{vmatrix} #1 \end{vmatrix}}<br>\newcommand{\spanb}[1]{\text{span}\{ #1 \}}<br>\DeclareMathOperator{\conv}{conv} % convex hull<br>\DeclareMathOperator{\cone}{cone}<br>\DeclareMathOperator{\vectorize}{vec}<br>\DeclareMathOperator{\matricize}{mat}<br>\DeclareMathOperator{\adj}{adj}<br>\DeclareMathOperator{\diag}{diag}<br>\DeclareMathOperator{\tr}{tr}<br>\DeclareMathOperator{\rank}{rank}<br>\DeclareMathOperator*{\argmin}{argmin}<br>\DeclareMathOperator*{\proj}{proj}<br>% brackets, norms, cardinalities<br>\newcommand{\pa}[1]{ \left({#1}\right) }<br>\newcommand{\ha}[1]{ \left[{#1}\right] }<br>\newcommand{\ca}[1]{ \left\{{#1}\right\} }<br>\newcommand{\inner}[1]{\left\langle #1 \right\rangle}<br>\newcommand{\innercpy}[1]{\inner{ #1, #1 }}<br>\newcommand{\norm}[1]{\left\| #1 \right\|}<br>\newcommand{\abs}[1]{\left|{#1}\right|}<br>\newcommand{\card}[1]{\left\vert{#1}\right\vert}<br>% math vectors<br>\newcommand{\va}{\textbf{a}}<br>\newcommand{\vb}{\textbf{b}}<br>\newcommand{\vc}{\textbf{c}}<br>\newcommand{\vd}{\textbf{d}}<br>\newcommand{\ve}{\textbf{e}}<br>\newcommand{\vf}{\textbf{f}}<br>\newcommand{\vg}{\textbf{g}}<br>\newcommand{\vh}{\textbf{h}}<br>\newcommand{\vi}{\textbf{i}}<br>\newcommand{\vj}{\textbf{j}}<br>\newcommand{\vk}{\textbf{k}}<br>\newcommand{\vl}{\textbf{l}}<br>\newcommand{\vm}{\textbf{m}}<br>\newcommand{\vn}{\textbf{n}}<br>\newcommand{\vo}{\textbf{o}}<br>\newcommand{\vp}{\textbf{p}}<br>\newcommand{\vq}{\textbf{q}}<br>\newcommand{\vr}{\textbf{r}}<br>\newcommand{\vs}{\textbf{s}}<br>\newcommand{\vt}{\textbf{t}}<br>\newcommand{\vu}{\textbf{u}}<br>\newcommand{\vv}{\textbf{v}}<br>\newcommand{\vw}{\textbf{w}}<br>\newcommand{\vx}{\textbf{x}}<br>\newcommand{\vy}{\textbf{y}}<br>\newcommand{\vz}{\textbf{z}}<br>\newcommand{\vzero}{\textbf{0}}<br>\newcommand{\vone}{\textbf{1}}<br>\newcommand{\valpha}{{\boldsymbol\alpha}}<br>\newcommand{\vepsilon}{{\boldsymbol\epsilon}}<br>\newcommand{\vnu}{{\boldsymbol\nu}}<br>\newcommand{\vpi}{{\boldsymbol\pi}}<br>\newcommand{\veta}{{\boldsymbol\eta}}<br>\newcommand{\vsigma}{ {\boldsymbol\sigma}}<br>\newcommand{\vbeta}{ {\boldsymbol\beta}}<br>\newcommand{\vtheta}{ {\boldsymbol\theta}}<br>\newcommand{\vdelta}{ {\boldsymbol\delta}}<br>\newcommand{\vlambda}{ {\boldsymbol\lambda}}<br>\newcommand{\vmu}{ {\boldsymbol\mu}}<br>% common math sets<br>\newcommand{\Z}{\mathbb{Z}}<br>\newcommand{\R}{\mathbb{R}}<br>\newcommand{\C}{\mathbb{C}}<br>\newcommand{\N}{\mathbb{N}}<br>\newcommand{\Q}{\mathbb{Q}}<br>\newcommand{\F}{\mathbb{F}}<br>\newcommand{\T}{\mathbb{T}}<br>% limits<br>\def\sumn{\sum_{n=0}^\infty}<br>\def\limn{\lim_{n\rightarrow\infty}}<br>\def\prodn{\prod_{n=0}^\infty}<br>% mathcal<br>\newcommand{\mcA}{\mathcal{A}}<br>\newcommand{\mcB}{\mathcal{B}}<br>\newcommand{\mcC}{\mathcal{C}}<br>\newcommand{\mcD}{\mathcal{D}}<br>\newcommand{\mcE}{\mathcal{E}}<br>\newcommand{\mcF}{\mathcal{F}}<br>\newcommand{\mcG}{\mathcal{G}}<br>\newcommand{\mcH}{\mathcal{H}}<br>\newcommand{\mcI}{\mathcal{I}}<br>\newcommand{\mcJ}{\mathcal{J}}<br>\newcommand{\mcK}{\mathcal{K}}<br>\newcommand{\mcL}{\mathcal{L}}<br>\newcommand{\mcM}{\mathcal{M}}<br>\newcommand{\mcN}{\mathcal{N}}<br>\newcommand{\mcO}{\mathcal{O}}<br>\newcommand{\mcP}{\mathcal{P}}<br>\newcommand{\mcQ}{\mathcal{Q}}<br>\newcommand{\mcR}{\mathcal{R}}<br>\newcommand{\mcS}{\mathcal{S}}<br>\newcommand{\mcT}{\mathcal{T}}<br>\newcommand{\mcU}{\mathcal{U}}<br>\newcommand{\mcV}{\mathcal{V}}<br>\newcommand{\mcW}{\mathcal{W}}<br>\newcommand{\mcX}{\mathcal{X}}<br>\newcommand{\mcY}{\mathcal{Y}}<br>\newcommand{\mcZ}{\mathcal{Z}}<br>% distribs, probability<br>\newcommand{\disteq}{\overset{d}{=}}<br>\newcommand\independent{\perp \!\!\! \perp}<br>\DeclareMathOperator{\Laplace}{Laplace}<br>\DeclareMathOperator{\Poisson}{Poisson}<br>\DeclareMathOperator{\Exponential}{Exponential}<br>\DeclareMathOperator{\Multinomial}{Multinomial}<br>\DeclareMathOperator{\Bernoulli}{Bernoulli}<br>\DeclareMathOperator{\Categorical}{Categorical}<br>\DeclareMathOperator{\Uniform}{Uniform}<br>\DeclareMathOperator{\Binomial}{Binomial}<br>\DeclareMathOperator{\Hypergeometric}{Hypergeometric}<br>\DeclareMathOperator{\GammaDist}{Gamma}<br>\DeclareMathOperator{\NegativeBinomial}{NegativeBinomial}<br>\DeclareMathOperator\sub{sub}<br>\renewcommand{\d}[1]{\mathop{\mathrm{d} #1 }}<br>\newcommand{\dkl}[2]{\mathop{D_\mathrm{KL}}\left({#1}\;\middle\|\;{#2}\right)}<br>\newcommand{\sg}{\mathop{\mathrm{SG}}}<br>\newcommand{\se}{\mathop{\mathrm{SE}}}<br>%operators<br>\DeclareMathOperator{\power}{{\mathcal{P}}}<br>\DeclareMathOperator{\var}{var}<br>\DeclareMathOperator{\cov}{cov}<br>\DeclareMathOperator\mathProb{\mathbb{P}}<br>\DeclareMathOperator\mathExp{\mathbb{E}}<br>\DeclareMathOperator*\mathExpUnder{\mathbb{E}}<br>\DeclareMathOperator*\fat{fat}<br>\renewcommand{\P}{\mathProb} % need to overwrite stupid paragraph symbol<br>\newcommand{\E}{\mathExp} % need to overwrite stupid paragraph symbol<br>\newcommand{\set}[2]{ \left\{ #1 \,\middle|\, #2 \right\} }<br>\newcommand{\CE}[2]{ \mathExp\left[ #1 \,\middle|\, #2 \right] }<br>\renewcommand{\CP}[2]{ \mathProb\left\{ #1 \,\middle|\, #2 \right\} }<br>$$

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