قارن الطرق

	شبكة بايزي هرمية	شبكة بايزيانية
المجال	بايزي	بايزي
العائلة	Bayesian methods	Bayesian methods
سنة النشأة	1990s–2000s	1988
صاحب الطريقة	Koller, Friedman, and colleagues	Judea Pearl
النوع	probabilistic graphical model	Probabilistic graphical model
المصدر التأسيسي	Koller, D. & Friedman, N. (2009). Probabilistic Graphical Models: Principles and Techniques. MIT Press. ISBN: 978-0262013192	Pearl, J. (1988). Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann. ISBN: 978-1558604797
الأسماء البديلة	HBN, layered Bayesian network, multi-level Bayesian network, hierarchical probabilistic graphical model	Bayes network, belief network, probabilistic graphical model, directed graphical model
ذات صلة	6	4
الملخص	A hierarchical Bayesian network is a probabilistic graphical model that organizes variables across multiple levels of abstraction. Higher-level nodes govern the prior distributions of lower-level nodes through hyperparameters, enabling structured sharing of information across groups, contexts, or data subsets while preserving the directed acyclic graph (DAG) representation of conditional dependencies.	A Bayesian network is a probabilistic graphical model, introduced by Judea Pearl in 1988, that encodes a set of variables and their conditional dependencies as a directed acyclic graph (DAG). Each node represents a variable; each directed edge encodes a direct probabilistic influence. By combining Bayes' rule with the graph's conditional independence structure, the model supports reasoning under uncertainty — computing the probability of any variable given observed evidence about others.