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Full-Text Articles in Systems Architecture
State-Based Reconstructability Modeling For Decision Analysis, Michael S. Johnson, Martin Zwick
State-Based Reconstructability Modeling For Decision Analysis, Michael S. Johnson, Martin Zwick
Systems Science Faculty Publications and Presentations
Reconstructability analysis (RA) is a method for detecting and analyzing the structure of multivariate categorical data. Jones and his colleagues extended the original variable-based formulation of RA to encompass models defined in terms of system states (Jones 1982; Jones 1985; Jones 1985; Jones 1986; Jones 1989). In this paper, we demonstrate that Jones’ previous work comprises two separable ideas: the “g to k” transformation and state-based modeling. We relate the concept of state-based modeling to established variable-based RA methods (Klir 1985; Krippendorff 1986), and demonstrate that statebased modeling, when applied to event and decision tree models, is a valuable adjunct …
Complexity And Decomposability Of Relations, Martin Zwick
Complexity And Decomposability Of Relations, Martin Zwick
Systems Science Faculty Publications and Presentations
A discrete multivariate relation, defined set-theoretically, is a subset of a cartesian product of sets which specify the possible values of a number of variables. Where three or more variables are involved, the highest order relation, namely the relation between all the variables, may or may not be decomposable without loss into sets of lower order relations which involve subsets of the variables. In a completely parallel manner, the highest order relation defined information-theoretically, namely the joint probability distribution involving all the variables, may or may not be decomposed without loss into lower-order distributions involving subsets of the variables. Decomposability …