From d71b6f325ded0ca101976e6b5c3b0fa72be4bfbd Mon Sep 17 00:00:00 2001 From: Stratis Ioannidis Date: Sat, 6 Jul 2013 14:14:12 -0700 Subject: intro proofs in appendix --- intro.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/intro.tex b/intro.tex index 8a8c2c0..0cc9bbe 100644 --- a/intro.tex +++ b/intro.tex @@ -73,7 +73,7 @@ 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, finally, show how it can be used to construct our mechanism 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}. +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, finally, show how it can be used to construct our mechanism in Section~\ref{sec:main}; all our proofs of our technical results are provided in the appendix. %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{ -- cgit v1.2.3-70-g09d2