5 citations · 10 across the 6 of their papers we have counts for
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Latent Factor Analysis of Gaussian Distributions under Graphical Constraints
Md Mahmudul Hasan, Shuangqing Wei, Ali Moharrer
We explore the algebraic structure of the solution space of convex optimization problem Constrained Minimum Trace Factor Analysis (CMTFA), when the population covariance matrix $Σ_…
Algebraic Properties of Wyner Common Information Solution under Graphical Constraints
Md Mahmudul Hasan, Shuangqing Wei, Ali Moharrer
The Constrained Minimum Determinant Factor Analysis (CMDFA) setting was motivated by Wyner's common information problem where we seek a latent representation of a given Gaussian ve…
Latent Factor Analysis of Gaussian Distributions under Graphical Constraints
Md Mahmudul Hasan, Shuangqing Wei, Ali Moharrer
In this paper, we explore the algebraic structures of solution spaces for Gaussian latent factor analysis when the population covariance matrix has an additional latent graph…
Tree Structured Synthesis of Gaussian Trees
Ali Moharrer, Shuangqing Wei, George T. Amariucai +1
A new synthesis scheme is proposed to effectively generate a random vector with prescribed joint density that induces a (latent) Gaussian tree structure. The quality of synthesis i…
Layered Synthesis of Latent Gaussian Trees
Ali Moharrer, Shuangqing Wei, George T. Amariucai +1
A new synthesis scheme is proposed to generate a random vector with prescribed joint density that induces a (latent) Gaussian tree structure. The quality of synthesis is shown by v…
Synthesis of Gaussian Trees with Correlation Sign Ambiguity: An Information Theoretic Approach
Ali Moharrer, Shuangqing Wei, George T. Amariucai +1
In latent Gaussian trees the pairwise correlation signs between the variables are intrinsically unrecoverable. Such information is vital since it completely determines the directio…
Classifying Unrooted Gaussian Trees under Privacy Constraints
A. Moharrer, S. Wei, G. T. Amariucai +1
In this work, our objective is to find out how topological and algebraic properties of unrooted Gaussian tree models determine their security robustness, which is measured by our p…