NMF can be seen as a two-layer directed graphical model with one layer of observed random variables and one layer of hidden random variables.
32.
The distribution Q will have a simpler character than that of P because marginalizing over P is intractable for all but the simplest of graphical models.
33.
Curiously, although it was originally designed for acyclic graphical models, it was found that the Belief Propagation algorithm can be used in general diameter of the tree.
34.
In 2014, she received the ACM ICMI Ten Year Technical Impact Award as one of the authors of a paper on layered graphical models of human behavior.
35.
Graphical models also help engineers to conceptualize the entire system and simplify the process of transporting the model from one stage to another in the design process.
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While MFT arose primarily in the field of statistical mechanics, it has more recently been applied elsewhere, for example in inference, graphical models theory, neuroscience, and artificial intelligence.
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Reactive Blocks uses the graphical model together with the information from the contracts to formally analyse the application to discover common problems such as deadlocks or incorrect terminations.
38.
In the case where the graphical model is a tree, an optimal scheduling allows to reach convergence after computing each messages only once ( see next sub-section ).
39.
Modern developments have extended graphical models to non-parametric analysis, and thus achieved a generality and flexibility that has transformed causal analysis in computer science, epidemiology, and social science.
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Such models are learned from the population by employing machine learning techniques and represented as Probabilistic Graphical Models, from which new solutions can be sampled or generated from guided-crossover.
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