From d8a68c6917f5b6053117e0145f6d4d80a8bec26b Mon Sep 17 00:00:00 2001 From: Thibaut Horel Date: Tue, 14 Apr 2015 15:20:19 -0400 Subject: Starting paper draft --- paper/main.tex | 42 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 42 insertions(+) create mode 100644 paper/main.tex (limited to 'paper/main.tex') diff --git a/paper/main.tex b/paper/main.tex new file mode 100644 index 0000000..58b6b22 --- /dev/null +++ b/paper/main.tex @@ -0,0 +1,42 @@ +\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} -- cgit v1.2.3-70-g09d2