Difference between revisions of "Posterior Regularization for Expectation Maximization"

From Cohen Courses
Jump to navigationJump to search
Line 1: Line 1:
 
== Summary ==
 
== Summary ==
  
 +
This is a [[Category::method]] to impose contraints on posteriors in the [[AddressesProblem::Expectation Maximization]] algorithm, allowing a finer-level control over these posteriors.
  
This is a [[Category::method]] to impose contraints on posteriors in the [[AddressesProblem::Expectation Maximization]] algorithm, allowing a finer-level control over these posteriors.
+
== Method Description ==
 +
For a given set x of observed data, a set of latent data z and a set of parameters <math>\theta</math>, the [[Expectation Maximization]] algorithm can be viewed as the alternation between two maximization steps.
 +
Where the E-step is defined as:
 +
 
 +
<math>
 +
q^{t+1} = argmax_{q} F(q,\theta^t) = argmax_{q} -D_{KL}(q||p_{\theta^t}(z|x))
 +
</math>

Revision as of 18:18, 29 September 2011

Summary

This is a method to impose contraints on posteriors in the Expectation Maximization algorithm, allowing a finer-level control over these posteriors.

Method Description

For a given set x of observed data, a set of latent data z and a set of parameters , the Expectation Maximization algorithm can be viewed as the alternation between two maximization steps. Where the E-step is defined as: