1. Logical analysis of data as a tool for the analysis of probabilistic discrete choice behavior
- Author
-
Gianpiero Bianchi, Claudio Leporelli, Cosimo Dolente, and Renato Bruni
- Subjects
Discrete choice ,021103 operations research ,Theoretical computer science ,General Computer Science ,Computer science ,0211 other engineering and technologies ,Probabilistic logic ,02 engineering and technology ,Management Science and Operations Research ,Task (project management) ,Logical analysis of data ,Modeling and Simulation ,Face (geometry) ,Discrete optimization ,0202 electrical engineering, electronic engineering, information engineering ,classification algorithms ,data analytics ,digital divide ,rule learning ,socio-economic analyses ,computer science (all) ,modeling and simulation ,management science and operations research ,020201 artificial intelligence & image processing - Abstract
Probabilistic Discrete Choice Models (PDCM) have been extensively used to interpret the behavior of heterogeneous decision makers that face discrete alternatives. The classification approach of Logical Analysis of Data (LAD) uses discrete optimization to generate patterns, which are logic formulas characterizing the different classes. Patterns can be seen as rules explaining the phenomenon under analysis. In this work we discuss how LAD can be used as the first phase of the specification of PDCM. Since in this task the number of patterns generated may be extremely large, and many of them may be nearly equivalent, additional processing is necessary to obtain practically meaningful information. Hence, we propose computationally viable techniques to obtain small sets of patterns that constitute meaningful representations of the phenomenon and allow to discover significant associations between subsets of explanatory variables and the output. We consider the complex socio-economic problem of the analysis of the utilization of the Internet in Italy, using real data gathered by the Italian National Institute of Statistics.
- Published
- 2019