diff options
| author | Thibaut Horel <thibaut.horel@gmail.com> | 2016-02-29 19:39:56 -0500 |
|---|---|---|
| committer | Thibaut Horel <thibaut.horel@gmail.com> | 2016-02-29 19:39:56 -0500 |
| commit | 310718cb00370138b8d6f0e8a8222e5ecdda843c (patch) | |
| tree | 113938bc18de495bc555e146c5ab098a82d5095e /intro.tex | |
| parent | 49880b3de9e4a4a190e26d03dbe093e3534823de (diff) | |
| download | recommendation-310718cb00370138b8d6f0e8a8222e5ecdda843c.tar.gz | |
Diffstat (limited to 'intro.tex')
| -rw-r--r-- | intro.tex | 2 |
1 files changed, 1 insertions, 1 deletions
@@ -61,7 +61,7 @@ Our convex relaxation of \EDP{} involves maximizing a self-concordant function s %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. We present our convex relaxation to \EDP{} in Section~\ref{sec:approximation} and use it to construct our mechanism in Section~\ref{sec:main}. We conclude in Section~\ref{sec:concl}. All proofs of our technical results are provided in the full version of this paper \cite{arxiv}. %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}. +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. We present our convex relaxation to \EDP{} in Section~\ref{sec:approximation} and use it to construct our mechanism in Section~\ref{sec:main}. We conclude in Section~\ref{sec:concl}. %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{ |
