From e62db6b69cdbbe37825f060eec98f600282b4118 Mon Sep 17 00:00:00 2001 From: Thibaut Horel Date: Fri, 20 Mar 2015 17:03:50 -0400 Subject: Add comment on parametric functions --- results.tex | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/results.tex b/results.tex index f4cea1a..41452ad 100644 --- a/results.tex +++ b/results.tex @@ -272,6 +272,12 @@ By using standard concentration bounds, we can hope to obtain within $poly(n, \f \subsection{Parametric submodular functions} +\textbf{Note:} all known examples of submodular functions are parametric. The +question is not parametric vs non-parametric but whether or not the number of +parameters is polynomial or exponential in $n$ (the size of the ground set). +For all examples I know except martroid rank functions, it seems to be +polynomial. + \subsubsection{Influence Functions} Let $G = (V, E)$ be a weighted directed graph. Without loss of generality, we -- cgit v1.2.3-70-g09d2