Learning multiplicity tree automata

  • Authors:
  • Amaury Habrard;Jose Oncina

  • Affiliations:
  • LIF – Université de Provence, Marseille, France;Dep. de Lenguajes y Sistemas Informático, Universidad de Alicante, Alicante, Spain

  • Venue:
  • ICGI'06 Proceedings of the 8th international conference on Grammatical Inference: algorithms and applications
  • Year:
  • 2006

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Abstract

In this paper, we present a theoretical approach for the problem of learning multiplicity tree automata. These automata allows one to define functions which compute a number for each tree. They can be seen as a strict generalization of stochastic tree automata since they allow to define functions over any field K. A multiplicity automaton admits a support which is a non deterministic automaton. From a grammatical inference point of view, this paper presents a contribution which is original due to the combination of two important aspects. This is the first time, as far as we now, that a learning method focuses on non deterministic tree automata which computes functions over a field. The algorithm proposed in this paper stands in Angluin's exact model where a learner is allowed to use membership and equivalence queries. We show that this algorithm is polynomial in time in function of the size of the representation.