\documentclass[10pt]{article}
\usepackage{fullpage, amsmath, amssymb, amsthm, bbm}
\usepackage[utf8x]{inputenc}

\DeclareMathOperator{\E}{\mathbb{E}}
\let\P\relax
\DeclareMathOperator{\P}{\mathbb{P}}
\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}}


\newtheorem{proposition}{Proposition}
\newtheorem{corollary}{Corollary}
\newtheorem{problem}{Problem}
\newtheorem{theorem}{Theorem}
\newtheorem{claim}{Claim}
\newtheorem{remark}{Remark}

\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{apalike}
\bibliography{optimize}


\end{document}