\documentclass[10pt]{article}
\usepackage{nips15submit_e}
\usepackage[utf8x]{inputenc}
\usepackage[pagebackref=false,breaklinks=true,colorlinks=true]{hyperref}
\usepackage[capitalize, noabbrev]{cleveref}
\usepackage{amsmath, amssymb, amsthm, bbm, microtype}
\usepackage{natbib}
\usepackage{url}

\DeclareMathOperator{\E}{\mathbb{E}}
\let\P\relax
\DeclareMathOperator{\P}{\mathbb{P}}
\DeclareMathOperator*{\argmax}{arg\,max}
\newcommand{\ex}[1]{\E\left[#1\right]}
\newcommand{\prob}[1]{\P\left[#1\right]}
\newcommand{\reals}{\mathbb{R}}
\newcommand{\ints}{\mathbb{N}}
\renewcommand{\O}{\mathcal{O}}
\newcommand{\eps}{\varepsilon}

\newtheorem{theorem}{Theorem}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{corollary}[theorem]{Corollary}

\theoremstyle{definition}
\newtheorem{definition}[theorem]{Definition}

\theoremstyle{remark}
\newtheorem*{claim}{Claim}
\newtheorem*{remark}{Remark}
\newtheorem*{problem}{Problem}

\title{Optimizing Submodular Functions in the Face of Uncertainty}
\author{}
\date{}

\begin{document}
\maketitle

\section{Introduction}
\input{sections/introduction.tex}

\section{Learning vs. Optimizing}
\input{sections/negative.tex}

\section{Positive results}
\input{sections/positive.tex}

\bibliographystyle{abbrv}
\bibliography{optimize}


\end{document}
