%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%% ICML 2015 EXAMPLE LATEX SUBMISSION FILE %%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Use the following line _only_ if you're still using LaTeX 2.09. %\documentstyle[icml2015,epsf,natbib]{article} % If you rely on Latex2e packages, like most moden people use this: \documentclass{article} % use Times \usepackage{times} % For figures \usepackage{graphicx} % more modern %\usepackage{epsfig} % less modern \usepackage{subfigure} % For citations \usepackage{natbib} % For algorithms \usepackage{algorithm} \usepackage{algorithmic} % As of 2011, we use the hyperref package to produce hyperlinks in the % resulting PDF. If this breaks your system, please commend out the % following usepackage line and replace \usepackage{icml2015} with % \usepackage[nohyperref]{icml2015} above. \usepackage{hyperref} % Packages hyperref and algorithmic misbehave sometimes. We can fix % this with the following command. \newcommand{\theHalgorithm}{\arabic{algorithm}} % Employ the following version of the ``usepackage'' statement for % submitting the draft version of the paper for review. This will set % the note in the first column to ``Under review. Do not distribute.'' \usepackage{icml2015} % Employ this version of the ``usepackage'' statement after the paper has % been accepted, when creating the final version. This will set the % note in the first column to ``Proceedings of the...'' %\usepackage[accepted]{icml2015} % The \icmltitle you define below is probably too long as a header. % Therefore, a short form for the running title is supplied here: \icmltitlerunning{Cracking Cascades: Sparse Recovery for Graph Inference} \begin{document} \twocolumn[ \icmltitle{Cracking Cascades: Sparse Recovery for Graph Inference} % It is OKAY to include author information, even for blind % submissions: the style file will automatically remove it for you % unless you've provided the [accepted] option to the icml2015 % package. \icmlauthor{Your Name}{email@yourdomain.edu} \icmladdress{Your Fantastic Institute, 314159 Pi St., Palo Alto, CA 94306 USA} \icmlauthor{Your CoAuthor's Name}{email@coauthordomain.edu} \icmladdress{Their Fantastic Institute, 27182 Exp St., Toronto, ON M6H 2T1 CANADA} % You may provide any keywords that you % find helpful for describing your paper; these are used to populate % the "keywords" metadata in the PDF but will not be shown in the document \icmlkeywords{boring formatting information, machine learning, ICML} \vskip 0.3in ] \begin{abstract} blabla \end{abstract} \section{Introduction} \begin{itemize} \item Small introduction about problem \item What is a cascade? \item What is our objective? \item Motivation for the problem. \item Summary of our approach \end{itemize} Parameters of the model: \begin{itemize} \item $p_{init}$ : multi-source: explain why more reasonable \item $p_{min}$ \item $p_i <$ 1- epsilon? \end{itemize} \section{Related Work} \subsection{Past work} \begin{itemize} \item Gomez \item Netrapalli: $d^2 $log n + correlation decay + very bad dependence on \item Kleinberg/Abrahao: $d^9$ log n: single source model... \item Gomez: $d^3$ log n + assumptions on Hessian of diffusion process: upper and lower bound on eigenvalues + same proof concept as Netrapalli \end{itemize} \subsection{Our contribution} \begin{itemize} \item Better assumptions: easy to understand, verify?, and much less restrictive \item Oracle inequality rather than support recovery -> First one \item Algorithm for recovery in Omega(d log n) -> First one \item Practical Confidence Intervals \item Practical Lower bound \item Compare on generic networks \end{itemize} To justify: \begin{itemize} \item why discrete isn't so bad; \item why Gomez's assumptions are not reasonable; \end{itemize} \section{Algorithm and Theoretical Guarantees} \subsection{Independent Cascade Model} \subsection{The Voter Model} \section{Matching the Lower Bound} \section{Practical Confidence Intervals} \section{Experiments} \section{Discussion} \bibliography{example_paper} \bibliographystyle{icml2015} \end{document}