I need some information on Gaussian Graphical Models (GGM).

1. From literature I see that it is from the family of Undirected Graphical Models. Is it acyclic too? is there any method of retrieving the direction of arcs between the nodes in GGM?

2. A popular method for establishing the arcs between nodes is through the estimation of Inverse Covariance Matrix i.e. IC matrix. Are their any other method to find out the arcs between nodes?

3. Can we not derive the causality of nodes in GGM? If yes then please give some lit source.

4. What are the methods of inference in GGMs?

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