4 citations · 9 across the 11 of their papers we have counts for
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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…
The Exact Determinant of a Specific Class of Sparse Positive Definite Matrices
Mehdi Molkaraie
For a specific class of sparse Gaussian graphical models, we provide a closed-form solution for the determinant of the covariance matrix. In our framework, the graphical interactio…
Mappings for Marginal Probabilities with Applications to Models in Statistical Physics
Mehdi Molkaraie
We present local mappings that relate the marginal probabilities of a global probability mass function represented by its primal normal factor graph to the corresponding marginal p…
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…