5. RBM Optimization

What are the critical points of the EM algorithm for $RBM_{3,2}$?
Problem 5.1.
What are the critical points of the EM algorithm for $RBM_{3,2}$? Can the MLE degree for the strata of $RBM_{3,2}$ be determined? 
Characterizing the optimization landscape for RBMs
Problem 5.2.
How do we characterize local optima on the optimization landscape for RBMs as a function of the architecture and number of empirical samples? 
Is using dropout during RBM training equivalent to adding a regularizing penalty term on to the training objective function?
Problem 5.3.
[Eric Auld] Is using dropout during RBM training equivalent to adding a regularizing penalty term on to the training objective function?
Cite this as: AimPL: Boltzmann Machines, available at http://aimpl.org/boltzmann.