Abstract:
This paper studies how to capture dependency graph structures from real data that may not be multivariate Gaussian. Starting from marginal loss functions not necessarily ...Show MoreMetadata
Abstract:
This paper studies how to capture dependency graph structures from real data that may not be multivariate Gaussian. Starting from marginal loss functions not necessarily derived from probability distributions, we utilize an additive over-parametrization with shrinkage to incorporate variable dependencies into the criterion. An iterative Gaussian graph learning algorithm is proposed with ease in implementation. Statistical analysis shows that the estimators achieve satisfactory accuracy with the error measured in terms of a proper Bregman divergence. Real-life examples in different settings are given to demonstrate the efficacy of the proposed methodology.
Published in: IEEE Transactions on Network Science and Engineering ( Volume: 7, Issue: 3, 01 July-Sept. 2020)