From 22e254972aaf4cbb08d4925695d344c2835d6aae Mon Sep 17 00:00:00 2001
From: Thibaut Horel <thibaut.horel@gmail.com>
Date: Tue, 14 Apr 2015 18:40:10 -0400
Subject: Model: definitions of optimizable and learnable

---
 paper/main.tex | 21 ++++++++++++++-------
 1 file changed, 14 insertions(+), 7 deletions(-)

(limited to 'paper/main.tex')

diff --git a/paper/main.tex b/paper/main.tex
index 0b33bdd..8c4f70b 100644
--- a/paper/main.tex
+++ b/paper/main.tex
@@ -1,27 +1,34 @@
 \documentclass[10pt]{article}
 \usepackage{nips15submit_e}
-\usepackage{amsmath, amssymb, amsthm, bbm, microtype}
 \usepackage[utf8x]{inputenc}
-\usepackage[capitalize, noabbrev]{cleveref}
 \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{proposition}{Proposition}
-\newtheorem{corollary}{Corollary}
-\newtheorem{problem}{Problem}
 \newtheorem{theorem}{Theorem}
-\newtheorem{claim}{Claim}
-\newtheorem{remark}{Remark}
+\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{}
-- 
cgit v1.2.3-70-g09d2