17. (Cluster graphs vs. Clique trees) Suppose that you ran sum- product message passing algorithm on a cluster graph G for a Markov network M and the algorithm converged. Which of the following statements is true only if G is a clique tree and is not necessarily true otherwise? O The beliefs and sepsets of G can be used to compute the joint distribution defined by the factors of M. O The sepsets in G are the product of the two messages passed between the clusters adjacent to the sepset. O G is calibrated. O If there are E edges in G, there exists a message ordering that guarantees convergence after passing 2E messages. O All the options are true for cluster graphs in general.

17. (Cluster graphs vs. Clique trees) Suppose that you ran sum- product message passing algorithm on a cluster graph G for a Markov network M and the algorithm converged. Which of the following statements is true only if G is a clique tree and is not necessarily true otherwise? O The beliefs and sepsets of G can be used to compute the joint distribution defined by the factors of M. O The sepsets in G are the product of the two messages passed between the clusters adjacent to the sepset. O G is calibrated. O If there are E edges in G, there exists a message ordering that guarantees convergence after passing 2E messages. O All the options are true for cluster graphs in general.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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