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Automated Extraction of Problem StructureAnthony Bucci*1, Jordan B. Pollack1, and Edwin de Jong2 1DEMO Lab, Brandeis University, Waltham MA 02454, USA
2Decision Support Systems Group, Universiteit Utrecht
Abstract. Most problems studied in artificial intelligence possess some form of structure, but a precise way to define such structure is so far lacking. We investigate how the notion of problem structure can be made precise, and propose a formal definition of problem structure. The definition is applicable to problems in which the quality of candidate solutions is evaluated by means of a series of tests. This specifies a wide range of problems: tests can be examples in classification, test sequences for a sorting network, or opponents for board games. Based on our definition of problem structure, we provide an automatic procedure for problem structure extraction, and results of proof-of-concept experiments. The definition of problem structure assigns a precise meaning to the notion of the underlying objectives of a problem, a concept which has been used to explain how one can evaluate individuals in a coevolutionary setting. The ability to analyze and represent problem structure may yield new insight into existing problems, and benefit the design of algorithms for learning and search. *Corresponding author LNCS 3102, p. 501 ff. lncs@springer.de
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