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| author | Thibaut Horel <thibaut.horel@gmail.com> | 2013-06-28 00:16:44 +0200 |
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| committer | Thibaut Horel <thibaut.horel@gmail.com> | 2013-06-28 00:16:44 +0200 |
| commit | 07d48e21fb6fc62b1a85b9d80c25560529a9a0b5 (patch) | |
| tree | 08d636c66b2933c370039bbd0bfb886b34b25505 /intro.tex | |
| parent | d5f4afbbf188d745439e0e15b1857fb696477d70 (diff) | |
| download | recommendation-07d48e21fb6fc62b1a85b9d80c25560529a9a0b5.tar.gz | |
Moving the proofs to the appendix, improving the flow
Diffstat (limited to 'intro.tex')
| -rw-r--r-- | intro.tex | 2 |
1 files changed, 1 insertions, 1 deletions
@@ -68,7 +68,7 @@ From a technical perspective, we present a convex relaxation of \eqref{obj}, and %Our approach to mechanisms for experimental design --- by % optimizing the information gain in parameters like $\beta$ which are estimated through the data analysis process --- is general. We give examples of this approach beyond linear regression to a general class that includes logistic regression and learning binary functions, and show that the corresponding budgeted mechanism design problem is also expressed through a submodular optimization. Hence, prior work \cite{chen,singer-mechanisms} immediately applies, and gives randomized, universally truthful, polynomial time, constant factor approximation mechanisms for problems in this class. Getting deterministic, truthful, polynomial time mechanisms with a constant approximation factor for this class or specific problems in it, like we did for \EDP, remains an open problem. -In what follows, we describe related work in Section~\ref{sec:related}. We briefly review experimental design and budget feasible mechanisms in Section~\ref{sec:peel} and define \SEDP\ formally. In Section~\ref{sec:main} we present our mechanism for \SEDP\ and state our main results, which are proved in Section~\ref{sec:proofs}. A generalization of our framework to machine learning tasks beyond linear regression is presented in Section~\ref{sec:ext}. +In what follows, we describe related work in Section~\ref{sec:related}. We briefly review experimental design and budget feasible mechanisms in Section~\ref{sec:peel} and define \SEDP\ formally. In Section~\ref{sec:main} we present our mechanism for \SEDP\ and state our main results. A generalization of our framework to machine learning tasks beyond linear regression is presented in Section~\ref{sec:ext}. \junk{ |
