Critical Remarks on the Maximal Prime Decomposition of Bayesian Networks
نویسندگان
چکیده
We present a critical analysis of the maximal prime decomposition of Bayesian networks (BNs). Our analysis suggests that it may be more useful to transform a BN into a hierarchical Markov network.
منابع مشابه
Maximal Prime Subgraph Decomposition of Bayesian Networks
The authors present a method for decomposition of Bayesian networks into their maximal prime subgraphs. The correctness of the method is proven and results relating the maximal prime subgraph decomposition (MPD) to the maximal complete subgraphs of the moral graph of the original Bayesian network are presented. The maximal prime subgraphs of a Bayesian network can be organized as a tree which c...
متن کاملMaximal Prime Subgraph Decomposition of Bayesian Networks: A Relational Database Perspective
A maximal prime subgraph decomposition junction tree (MPD-JT) is a useful computational structure that facilitates lazy propagation in Bayesian networks (BNs). A graphical method was proposed to construct an MPD-JT from a BN. In this paper, we present a new method from a relational database (RDB) perspective which sheds light on the semantic meaning of the previously proposed graphical algorithm.
متن کاملASSOCIATED PRIME IDEALS IN C(X)
The minimal prime decomposition for semiprime ideals is defined and studied on z-ideals of C(X). The necessary and sufficient condition for existence of the minimal prime decomposition of a z-ideal / is given, when / satisfies one of the following conditions: (i) / is an intersection of maximal ideals. (ii) I is an intersection of O , s, when X is basically disconnected. (iii) I=O , when x X h...
متن کاملIncremental Compilation of Object-Oriented Bayesian Networks
Object-oriented paradigms have been applied to Bayesian networks to provide a modular structure which allows greater flexibility and robustness. These object-oriented Bayesian networks may be used over larger and more complex domains. However, as the networks get larger, the computational cost of triangulation and junction tree construction grows. The process of creating new junction trees when...
متن کاملSome remarks on generalizations of classical prime submodules
Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. Suppose that $phi:S(M)rightarrow S(M)cup lbraceemptysetrbrace$ be a function where $S(M)$ is the set of all submodules of $M$. A proper submodule $N$ of $M$ is called an $(n-1, n)$-$phi$-classical prime submodule, if whenever $r_{1},ldots,r_{n-1}in R$ and $min M$ with $r_{1}ldots r_{n-1}min Nsetminusphi(N)$, then $r_{1...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003