Typos. There was an error in the proof of lemma 4. Fixing this error changes our

approximation ratio to 12.98 instead of 19.68...

1 files changed, 3 insertions, 3 deletions

diff --git a/abstract.tex b/abstract.tex
index a3766da..f005dbf 100644
--- a/abstract.tex
+++ b/abstract.tex
@@ -1,13 +1,13 @@
 %We initiate the study of mechanisms for \emph{experimental design}. 
 
 In the classical {\em experimental design} setting,
-an  experimenter  \E\ with  a budget $B$ has access to a population of $n$ potential experiment subjects $i\in 1,\ldots,n$,  each associated with a vector of features $x_i\in\reals^d$ as well as a cost $c_i>0$.
-Conducting an experiment with subject $i$  reveals an unknown value $y_i\in \reals$ to \E. \E\ typically assume some 
+an  experimenter  \E\ with  a budget $B$ has access to a population of $n$ potential experiment subjects $i\in \{1,\ldots,n\}$,  each associated with a vector of features $x_i\in\reals^d$ as well as a cost $c_i>0$.
+Conducting an experiment with subject $i$  reveals an unknown value $y_i\in \reals$ to \E. \E\ typically assumes some 
 hypothetical relationship between  $x_i$'s and $y_i$'s, \emph{e.g.},  $y_i \approx  \T{\beta} x_i$, and estimates 
 $\beta$ from experiments. 
 %conducting the experiments and obtaining the measurements $y_i$ allows 
 %\E\ can estimate  $\beta$. 
-\E\ 's  goal is to select which experiments to conduct, subject to her budget constraint.
+\E 's  goal is to select which experiments to conduct, subject to her budget constraint.
 %, to obtain the best estimate possible for $\beta$.
 
 We initiate the study of mechanisms for experimental design. In this setting,