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| author | Thibaut Horel <thibaut.horel@gmail.com> | 2015-03-20 17:03:50 -0400 |
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| committer | Thibaut Horel <thibaut.horel@gmail.com> | 2015-03-20 17:03:50 -0400 |
| commit | e62db6b69cdbbe37825f060eec98f600282b4118 (patch) | |
| tree | 5e7693a677e79f2f248ebdd7d22387b40323dd33 | |
| parent | ae3e6b98a5cbe869603543e33cfc51e535d1029f (diff) | |
| download | learn-optimize-e62db6b69cdbbe37825f060eec98f600282b4118.tar.gz | |
Add comment on parametric functions
| -rw-r--r-- | results.tex | 6 |
1 files changed, 6 insertions, 0 deletions
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 |
