2014
DOI: 10.1007/978-3-319-04921-2_40
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Learning Sequential Tree-to-Word Transducers

Abstract: Abstract. We study the problem of learning sequential top-down tree-toword transducers (stws). First, we present a Myhill-Nerode characterization of the corresponding class of sequential tree-to-word transformations (ST W). Next, we investigate what learning of stws means, identify fundamental obstacles, and propose a learning model with abstain. Finally, we present a polynomial learning algorithm.

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Cited by 18 publications
(14 citation statements)
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“…Furthermore, using a Myhill-Nerode characterization, a normal form computable in Exptime is shown to exist. This normal form was later proven to be learnable in Ptime [8].…”
Section: Introductionmentioning
confidence: 78%
“…Furthermore, using a Myhill-Nerode characterization, a normal form computable in Exptime is shown to exist. This normal form was later proven to be learnable in Ptime [8].…”
Section: Introductionmentioning
confidence: 78%
“…Second, we showed that if building a fully earliest transducer is potentially exponential, our reduction only requires quasi-periodic states to be earliest, which can be done in polynomial time. The use of the equivalence problem for morphisms on a CFG [13] and of properties on straight-line programs [10] is essential here as it was in [7,8]. This leads to further research questions, starting with generalization of this result to all tree-to-words transducers.…”
Section: Resultsmentioning
confidence: 99%
“…The learnability definition that we have used in [10] is inspired by grammatical inference [19] i.e., the branch of machine learning that aims at constructing a formal grammar by generalizing a set of examples. Grammatical inference techniques have been recently employed in the context of XML for learning queries [13,25,31], schemas [8,9,16], and transformations [23,24]. More precisely, in [10] we have used a variant of the classical grammatical inference framework (i.e., language identification in the limit with polynomial time and data [21]) that takes into account the intractability of deciding the consistency of a set of examples (in the spirit of [23]).…”
Section: Related Workmentioning
confidence: 99%