6533b85dfe1ef96bd12be709
RESEARCH PRODUCT
Dual types of hypotheses in inductive inference
Rolf WiehagenRusins FreivaldsEfim Kinbersubject
Identification (information)Theoretical computer scienceComputer scienceRecursive functionsSpiteMonotonic functionInductive reasoningType (model theory)Dual (category theory)Power (physics)description
Several well-known inductive inference strategies change the actual hypothesis only when they discover that it “provably misclassifies” an example seen so far. This notion is made mathematically precise and its general power is characterized. In spite of its strength it is shown that this approach is not of “universal” power. Consequently, then hypotheses are considered which “unprovably misclassify” examples and the properties of this approach are studied. Among others it turns out that this type is of the same power as monotonic identification. Finally, it is shown that “universal” power can be achieved only when an unbounded number of alternations of these dual types of hypotheses is allowed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-01-25 |