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They are listed in Table 1 and have a continuous variable to be predicted. They have been used as benchmarks in related studies on regression trees and model trees. Table 1. Ten datasets used in the empirical evaluation of SMOTI No. Cases No. Attributes Continuous Discrete Abalone 4177 10 9 1 Auto-Mpg 392 8 5 3 Auto-Price 159 27 17 10 Bank8FM 4499 9 9 0 Cleveland 297 14 7 7 Housing 506 14 14 0 Machine CPU 209 10 8 2 Pyrimidines 74 28 28 0 Triazines 74 61 61 0 Wisconsin Cancer 186 33 33 0 Dataset Goal Predicting the age of abalone from physical measurements Predicting the city-cycle fuel consumption Predicting auto price Predicting the fraction of bank customers who leave the bank because of full queues Predicting the heart disease in a patient.
4th IAPR Workshop on Graph based Representations, York (2003) 39. : Self-organizing graph edit distance. Proc. 4th IAPR Workshop on Graph based Representations, York (2003) 40. : Learning Graph Edit Distance. Diploma Thesis, University of Bern (2003) 41. : Self-Organizing Maps. Springer Verlag (1995) 42. : Graph Matching: Filtering large databases of graphs using decision trees. , Vento, M. ): Proc. 3rd IAPRTC15 Workshop on Graph-based Representations in Pattern Recognition. (2001) 239–249 43. : Theoretical analysis and experimental comparison of graph matching algorithms for database filtering.
A precondition is a conjunction of base conditions and negations of base conditions. A rule in an ADTree is defined by a precondition C1 , a condition c2 and two vectors of real numbers (al )l∈Y and (bl )l∈Y : if C1 then (if c2 then (al )l∈Y else (bl )l∈Y ) else (0)l∈Y , 42 F. De Comit´e, R. Gilleron, and M. Tommasi A multi-label alternating decision tree (multi-label ADTree) is a set R of such rules satisfying properties (i) and (ii): (i) the set R must include an initial rule for which the precondition C1 is T , the condition c2 is T , and b equals (0)l∈Y ; (ii) whenever the set R contains a rule with a precondition C1 , R also contains another rule with precondition C1 and there is a base condition c2 such that either C1 = C1 ∧ c2 or C1 = C1 ∧ ¬c2 .
