Probabilistic graphical models

Friedman N. Inferring cellular networks using probabilistic graphical models. Science 2004 303 799-805. 98. 

Friedman, F. 2004. Inferring Cellular Networks Using Probabilistic Graphical Models. Science 303 799-805. 

A BN is a probabilistic graphical model whose structure consists in nodes linked by directed arcs (Pearl 1988). Nodes represent random variables and arcs between nodes (linking parent nodes to child nodes) indicate causal or influential relationships between variables. Each node has an associated probability Table, called Conditional ProbabUity Table (CPT), containing the conditional probabUities of each possible outcome of the node (seen as a child node) with respect to each combination of values of the parent nodes. A detailed overview on BNs and their applications can be found in (Fenton Neil 2007). 

Roller, D., Priedman, N. Probabilistic Graphical Models Principles and Techniques. MIT Press (2009)... 

A Bayesian (belief) network is a graphical model for probabilistic relationships among a set of variables whose joint probability distributions are compactly represented in relation to future data. The Bayesian network has several advantages in modeling biological network systems ... 

The second view is the probabilistic view The random variable F = f(G) depends uprai the random variable G = g(H), which depends upon H = h(X), which depends upon the random variable X. This view is most commonly encountered in the context of graphical models. 

An ET is a graphical model of an accident scenario that yields multiple outcomes and outcome probabilities. An ET is constructed during ETA and is frequently used as one of the tools in a probabilistic risk assessment (PRA). ETs first made their appearance in risk assessment in the WASH-1400 nuclear power safety study, where they were used to generate, define, and classify scenarios specified at the PE level. 

Various approaches and graphical conventions have been used in drawing conceptual model diagrams. Consideration could be given to recommending a standardized approach for use in probabilistic assessments. 

Use of Graphical Probabilistic Models to Build SIL Claims Based on Software Safety Standards such as lEC 61508 - 3 Mario Brito, John May, Julio Gallardo and Ed Fergus. 241... 

Use of Graphical Probabilistic Models to build SIL claims based on software safety standards such as IEC61508-3... 

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