Academic Journal

Can a vector space based learning model discover inductive class generalization in a symbolic environment?

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Can a vector space based learning model discover inductive class generalization in a symbolic environment?
Συγγραφείς: Goldfarb, Lev, Abela, John, Bhavsar, Virendra C., Kamat, Vithal N.
Στοιχεία εκδότη: Elsevier BV * North-Holland
Έτος έκδοσης: 1995
Συλλογή: University of Malta: OAR@UM / L-Università ta' Malta
Θεματικοί όροι: Ensemble learning (Machine learning), Artificial intelligence, Pattern recognition systems, Induction (Mathematics) -- Computer programs, Computer software -- Development, Neural networks (Computer science), Algorithms
Περιγραφή: We outline a general framework for inductive learning based on the recently proposed evolving transformation system model. Mathematical foundations of this framework include two basic components: a set of operations ( on objects) and the corresponding geometry defined by means of these operations. According to the framework, to perform inductive learning in a symbolic environment, the set of operations ( class features) may need to be dynamically updated, and this requires that the geometric component allows for an evolving topology. In symbolic systems, as defined in this paper, the geometric component allows for a dynamic change in topology, whereas finite-dimensional numeric systems (vector spaces) can essentially have only one natural topology. This fact should form the basis of a complete formal proof that, in a symbolic setting, the vector space based models, e. g. artificial neural networks, cannot capture inductive generalization. Since the presented argument indicates that the symbolic learning process is more powerful than the numeric process, it appears that only the former should be properly called an inductive learning process. ; peer-reviewed
Τύπος εγγράφου: article in journal/newspaper
Γλώσσα: English
ISSN: 18727344
Relation: https://www.um.edu.mt/library/oar/handle/123456789/132967
Διαθεσιμότητα: https://www.um.edu.mt/library/oar/handle/123456789/132967
Rights: info:eu-repo/semantics/restrictedAccess ; The copyright of this work belongs to the author(s)/publisher. The rights of this work are as defined by the appropriate Copyright Legislation or as modified by any successive legislation. Users may access this work and can make use of the information contained in accordance with the Copyright Legislation provided that the author must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the prior permission of the copyright holder.
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