5 papers
Accelerated Random-Sweep Gibbs Sampling for Gaussian Graphical Models via Dual Normal Factor Graphs
Borna Khodabandeh, Mehdi Molkaraie
We study the convergence properties of the random-sweep Gibbs sampler for Gaussian graphical models with a thin-membrane prior. We demonstrate that the convergence rate of the Gibb…
On the Equivalence of Gaussian Graphical Models Defined on Complete Bipartite Graphs
Mehdi Molkaraie
This paper introduces two Gaussian graphical models defined on complete bipartite graphs. We show that the determinants of the precision matrices associated with the models are equ…
Duality for Continuous Graphical Models
Mehdi Molkaraie
The dual normal factor graph and the factor graph duality theorem have been considered for discrete graphical models. In this paper, we show an application of the factor graph dual…
Marginal Densities, Factor Graph Duality, and High-Temperature Series Expansions
Mehdi Molkaraie
We prove that the marginal densities of a global probability mass function in a primal normal factor graph and the corresponding marginal densities in the dual normal factor graph…
On Properties of the Minimum Entropy Sub-tree to Compute Lower Bounds on the Partition Function
Mehdi Molkaraie, Payam Pakzad
Computing the partition function and the marginals of a global probability distribution are two important issues in any probabilistic inference problem. In a previous work, we pres…