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A Comparative Study Of Structural Most Specific Generalizations Used In Machine Learning (1997)  (Make Corrections)  (5 citations)
Jörg-Uwe Kietz
Proc. Third International Workshop on Inductive Logic Programming



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Abstract: In this paper we compare the two main lines of research in learning most specific generalizations (MSG's) in a unifying framework. By reducing them to each other we show that even in some simple subset of first-order logic, the MSG grows exponentially in the number of examples. We then review two polynomial approaches, learning most specific Hornclauses without existential variables and learning most specific ij-determinate Hornclauses within this framework. We also show that... (Update)

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.... which means that all literals that are redundant under subsumption are removed, may grow exponentially in the number of clauses (Kietz, 1993). Since an expansion of a clause is an LGG of a set of or introduced clauses, the computational cost of an expansion grows...

...as an extension of Haussler s most specific generalization (msg) for existential conjunctive expressions ( 12] to N ary concepts. In [18], J. U. Kietz investigated the relation between Haussler s msg and the msg for clauses with so called difference links defined by Helft (...

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BibTeX entry:   (Update)

Kietz, J.-U. (1993). A comparative study of structural most specific generalizations used in machine learning. In Muggleton, S. (Ed.), Proceedings of the Third International Workshop on Inductive Logic Programming. J. Stefan Institute, Ljubljana, Slovenia. http://citeseer.ist.psu.edu/kietz97comparative.html   More

@inproceedings{ kietz93comparative,
    author = "J\"{o}rg-Uwe Kietz",
    title = "A Comparative Study of Structural Most Specific Generalisations Used In Machine Learning",
    booktitle = "Proc. Third International Workshop on Inductive Logic Programming",
    publisher = "J. Stefan Institute Technical Report IJS-DP-6707,",
    address = "Ljubljana, Slovenia",
    pages = "149 - 164",
    year = "1993",
    url = "citeseer.ist.psu.edu/kietz97comparative.html" }
Citations (may not include all citations):
392   A theory and methodology of inductive learning (context) - Michalski - 1983
356   Computers and Intractability - A Guide to the Theory of NP-C.. (context) - Garey, Johnson - 1979
271   Efficient induction of logic programs - Muggleton, Feng - 1990
267   A note on inductive generalization (context) - Plotkin - 1970
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69   A further note on inductive generalization (context) - Plotkin - 1971
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15   A study of generalisation in logic programs (context) - Niblett - 1988
13   Controlling the complexity of learning in logic through synt.. (context) - Kietz, Wrobel - 1991
11   An interference matching technique for inducing abstractions (context) - Hayes-Roth, McDermott - 1978
10   Generalizing atoms in constraint logic (context) - Page, Alan et al. - 1991
9   Inductive generalisation: A logical framework (context) - Helft - 1987
8   Induction of relational productions in the presence of backg.. (context) - Vere - 1977
7   Semantic model for induction of first order theories (context) - Rouveirol - 1991
5   Ogust: A system that learns using domain properties expresse.. (context) - Vrain - 1990
4   Learning of rule systems in a first order representation (context) - Bisson - 1991
3   Constructive induction: Learning concepts for learning (context) - Kietz, Morik - 1991
3   Knowledge acquisition from structural descriptions (context) - Hayes-Roth, McDermott - 1977
2   Some lower bounds for the computational complexity of induct.. (context) - Kietz - 1993
2   Generalisation and learnability: a study in constained atoms (context) - Page, Frisch - 1992

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