Difference between revisions of "Chang and Blei, AOAS2010"

Revision as of 12:10, 24 February 2011

J. Chang and D. Blei. Hierarchical relational models for document networks. Annals of Applied Statistics, 4(1):124–150, 2010

 - social networks of friends
 - citation networks of documents
 - hyperlinked networks of web pages

 - point social network members toward new friends
 - point scientific papers toward relevant citations
 - point web pages toward other related pages

 - uncover the hidden community structure

1. For each document $d$ :

 (a) Draw topic proportions  $\theta _{d}|\alpha \approx Dir(\alpha )$

 (b) For each word  $w_{d,n}$ :

     i.  Draw assignment  $z_{d,n}|\theta _{d}\approx Mult(\theta _{d})$ .

     ii. Draw word  $w_{d,n}|z_{d,n},\beta _{1:K}\approx Mult(\beta _{z_{d,n}})$ .

2. For each pair of documents $d$ , $d'$ :

 (a) Draw binary link indicator
   
               $y_{d,d'}|z_{d},z_{d'}\approx \psi (.|z_{d},z_{d'},\eta )$

     where  $z_{d}=\{z_{d,1},z_{d,2},...,z_{d,n}\}$

@@ Line 1: / Line 1: @@
 == Citation ==
 J. Chang and D. Blei.   Hierarchical relational models for document networks.   Annals of Applied Statistics, 4(1):124–150, 2010
+== Online version ==
+[http://www.cs.princeton.edu/~blei/papers/ChangBlei2010.pdf D.Blei's papers]
+== Motivation ==
+* Network data
+  - social networks of friends
+  - citation networks of documents
+  - hyperlinked networks of web pages
+* “Predictive Models”
+  - point social network members toward new friends
+  - point scientific papers toward relevant citations
+  - point web pages toward other related pages
+* “Descriptive statistics”
+  - uncover the hidden community structure
+== Methodology ==
+. For each document <math>d</math>:
+  (a) Draw topic proportions <math>\theta_d|\alpha \approx Dir(\alpha)</math>
+  (b) For each word <math>w_{d,n}</math>:
+      i.  Draw assignment <math>z_{d,n}|\theta_d \approx Mult(\theta_d)</math>.
+      ii. Draw word <math>w_{d,n}|z_{d,n},\beta_{1:K} \approx Mult(\beta_{z_{d,n}})</math>.
+. For each pair of documents <math>d</math>,<math>d'</math>:
+  (a) Draw binary link indicator
+               <math>y_{d,d'}|z_d,z_{d'} \approx \psi(.|z_d,z_{d'},\eta)</math>
+      where <math>z_d = \{z_{d,1},z_{d,2},...,z_{d,n}\}</math>