Proceedings of the Second Annual Workshop on Computational Learning Theory 1989
DOI: 10.1016/b978-0-08-094829-4.50008-8
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On Learning From Exercises

Abstract: This paper explores a new direction in the formal theory of learning -learning in the sense of improving computational efficiency as opposed to concept learning in the sense of Valiar'. Specifically, the paper concerns algorithms that learn to solve problems from sample instances ot the problems. We develop a general framework for such learning and study the framework over two distinct random sources of sample instances. The first source provides sample instances together with their solutions, while the second… Show more

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Cited by 9 publications
(2 citation statements)
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“…The full paper on Ulearnability includes a definition of polynomial U-learnability that allows the teacher to provide the learner with a background theory. A surprising aspect of this definition is that it not only captures the notion of inductive learning relative to background knowledge, as desired, but it also provides a generalisation of Natarajan's PAC-style formalisation of speed-up learning [33]. Although Natarajan's formalisation is quite appealing, few positive have been proven within it because it is also very demanding.…”
Section: Incorporating Background Knowledgementioning
confidence: 95%
“…The full paper on Ulearnability includes a definition of polynomial U-learnability that allows the teacher to provide the learner with a background theory. A surprising aspect of this definition is that it not only captures the notion of inductive learning relative to background knowledge, as desired, but it also provides a generalisation of Natarajan's PAC-style formalisation of speed-up learning [33]. Although Natarajan's formalisation is quite appealing, few positive have been proven within it because it is also very demanding.…”
Section: Incorporating Background Knowledgementioning
confidence: 95%
“…In many systems, learning hierarchically organized knowledge assumes that the structure of hierarchy or the order of the literals is known to the learner. Examples of such work include Marvin (Sammut & Banerji, 1986) and XLearn (Reddy & Tadepalli, 1997a), on the experimental side; learning from exercises by Natarajan (1989) and learning acyclic Horn sentences by Arimura (1997), on the theoretical side. In fact, Khardon shows that learning hierarchical strategies can be computationally hard when the structure of the hierarchy is not known (Khardon, 1996).…”
Section: Introductionmentioning
confidence: 99%