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| author | jeanpouget-abadie <jean.pougetabadie@gmail.com> | 2015-01-25 13:48:43 -0500 |
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| committer | jeanpouget-abadie <jean.pougetabadie@gmail.com> | 2015-01-25 13:48:43 -0500 |
| commit | 732233a5592edf4b5b6f2577e2b93c26804f8ec8 (patch) | |
| tree | 86f6432d59bf96c314646dbf83ddf5260ab421de | |
| parent | 403268e4d19d7f9c87479f6fac37dff0175c0d60 (diff) | |
| download | cascades-732233a5592edf4b5b6f2577e2b93c26804f8ec8.tar.gz | |
results updated
| -rw-r--r-- | paper/paper.tex | 1 | ||||
| -rw-r--r-- | paper/sections/results.tex | 13 |
2 files changed, 11 insertions, 3 deletions
diff --git a/paper/paper.tex b/paper/paper.tex index 0b54de0..6c6f789 100644 --- a/paper/paper.tex +++ b/paper/paper.tex @@ -58,6 +58,7 @@ \newcommand{\defeq}{\equiv} \newtheorem{theorem}{Theorem} +\newtheorem{lemma}{Lemma} \begin{document} diff --git a/paper/sections/results.tex b/paper/sections/results.tex index 6871fbe..ede143f 100644 --- a/paper/sections/results.tex +++ b/paper/sections/results.tex @@ -4,7 +4,7 @@ Our approach is different. Rather than trying to perform variable selection by f \begin{equation} \nonumber -\forall X \in {\cal C}, \| \Sigma X \|^2 \geq \gamma_n \|X\|_2^2 \qquad \ \quad \text{\bf (RE)} +\forall X \in {\cal C}, \| \Sigma X \|_2^2 \geq \gamma_n \|X\|_2^2 \qquad \ \quad \text{\bf (RE)} \end{equation} We cite the following Theorem from \cite{Negahban:2009}: @@ -17,7 +17,14 @@ Suppose that the true vector $\theta^*$ has support S and that the {\bf(RE)} ass \end{equation} \end{theorem} +\subsection{Independent Cascade Model} + +We analyse the previous conditions in the case of the Independent Cascade model. Lemma 1. provides a ${\cal O}(n)$-upper-bound on $\|\nabla f\|$ +\begin{lemma} +blabla +\end{lemma} + +\subsection{Linear Threshold Model} + -\subsection{Virtues of Oracle Inequalities} -\subsection{The Irrepresentability Condition}
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