Book Chapter10.1007/978-3-642-72087-1_19
A Branch-and-bound Algorithm for Boolean Regression
Iwin Leenen,Iven Van Mechelen +1 more
- 01 Jan 1998
- pp 164-171
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TL;DR: A branch-and-bound algorithm to trace disjunctive (conjunctive) combinations of binary predictor variables to predict a binary criterion variable and allows for finding logical classification rules that can be used to derive whether or not a given object belongs to a given category based on the attribute pattern of the object.
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Abstract: This paper proposes a branch-and-bound algorithm to trace disjunctive (conjunctive) combinations of binary predictor variables to predict a binary criterion variable. The algorithm allows for finding logical classification rules that can be used to derive whether or not a given object belongs to a given category based on the attribute pattern of the object. An objective function is minimized which takes into account both accuracy in prediction and cost of the predictors. A simulation study is presented in which the performance of the algorithm is evaluated.
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Citations
Indclas: a three-way hierarchical classes model
TL;DR: A three-way three-mode extension of De Boeck and Rosenberg's (1988) two-way two-mode hierarchical classes model is presented for the analysis of individual differences in binary object × attribute arrays.
69
Tucker3 hierarchical classes analysis
TL;DR: A new model for binary three-way three-mode data, called Tucker3 hierarchical classes model (Tucker3-HICLAS), that does not restrict the hierarchical classifications of the three modes to have the same rank, and allows for more complex linking structures among the three hierarchies.
The Local Minima Problem in Hierarchical Classes Analysis: An Evaluation of a Simulated Annealing Algorithm and Various Multistart Procedures
TL;DR: The proposed generic SA algorithm for hierarchical classes analysis and three different types of random starts are proposed and the effectiveness of the SA algorithm and the random starts is evaluated by reanalyzing data sets of previous simulation studies.
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Clusterwise HICLAS: A generic modeling strategy to trace similarities and differences in multiblock binary data
TL;DR: The new Clusterwise HICLAS generic modeling strategy, in which the different data blocks are assumed to form a set of mutually exclusive clusters, is proposed and evaluated by means of an extensive simulation study and by applying the strategy to coupled binary data regarding emotion differentiation and regulation.
Tucker2 Hierarchical Classes Analysis.
Eva Ceulemans,Iven Van Mechelen +1 more
TL;DR: This paper presents a new hierarchical classes model, called Tucker2-HICLAS, for binary three-way three-mode data, which implies three rather than four different types of parameters and as such is simpler to interpret.
References
The Conjunctive Model of Hierarchical Classes.
TL;DR: It is shown how conjunctive and disjunctive hierarchical classes models relate to Galois lattices, and how hierarchical classes analysis can be useful to construct lattice models of empirical data.
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Projection of a binary criterion into a model of hierarchical classes
Even Van Mechelen,Paul De Boeck +1 more
TL;DR: A formal analysis is made of how to project an attribute criterion into the hierarchical classes model for object by attribute data proposed by De Boeck and Rosenberg to demonstrate the usefulness of the logical strategies and to show the complementarity of logical and probabilistic approaches.
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