Merge branch 'master' of ssh://74.95.195.229:1444/git/data_value

2 files changed, 35 insertions, 3 deletions

diff --git a/general.tex b/general.tex
index 4f9aaad..550d6b7 100644
--- a/general.tex
+++ b/general.tex
@@ -79,13 +79,13 @@ The value function given by the information gain \eqref{general} is submodular.
 \end{lemma}
 
 \begin{proof}
-The theorem is proved in a slightly different context in \cite{guestrin}; we
+The theorem is proved in a slightly different context in \cite{krause2005near}; we
 repeat the proof here for the sake of completeness. Using the chain rule for
 the conditional entropy we get:
-\begin{displaymath}\label{eq:chain-rule}
+\begin{equation}\label{eq:chain-rule}
     V(S) = H(y_S) - H(y_S \mid \beta) 
     = H(y_S) - \sum_{i\in S} H(y_i \mid \beta)
-\end{displaymath}
+\end{equation}
 where the second equality comes from the independence of the $y_i$'s
 conditioned on $\beta$. Recall that the joint entropy of a set of random
 variables is a submodular function. Thus, our value function is written in
diff --git a/notes.bib b/notes.bib
index b9eb5c2..d6f188d 100644
--- a/notes.bib
+++ b/notes.bib
@@ -498,3 +498,35 @@
   bibsource = {DBLP, http://dblp.uni-trier.de}
 }
 
+@inproceedings{krause2005near,
+  author    = {Andreas Krause and
+               Carlos Guestrin},
+  title     = {Near-optimal Nonmyopic Value of Information in Graphical
+               Models},
+  booktitle = {UAI},
+  year      = {2005},
+  pages     = {324-331},
+  ee        = {http://uai.sis.pitt.edu/displayArticleDetails.jsp?mmnu=1{\&}smnu=2{\&}article_id=1238{\&}proceeding_id=21},
+  crossref  = {DBLP:conf/uai/2005},
+  bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+@proceedings{DBLP:conf/uai/2005,
+  title     = {UAI '05, Proceedings of the 21st Conference in Uncertainty
+               in Artificial Intelligence, Edinburgh, Scotland, July 26-29,
+               2005},
+  booktitle = {UAI},
+  publisher = {AUAI Press},
+  year      = {2005},
+  isbn      = {0-9749039-1-4},
+  bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+@book{hastie,
+  title={The elements of statistical learning},
+  author={Friedman, J. and Hastie, T. and Tibshirani, R.},
+  volume={1},
+  year={2001},
+  publisher={Springer Series in Statistics}
+}
+