2017
DOI: 10.1007/978-3-319-53733-7_4
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Efficient Learning of Tier-Based Strictly k-Local Languages

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Cited by 60 publications
(21 citation statements)
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“…13 Secondly, the learners' apparent preference for strictly transvocalic over unbounded locality (when faced with ambiguous evidence) translates into a preference for hypothesizing a tier containing all consonants over one that contains only a subset of consonants (namely liquids), other things being equal. Interestingly, the formal learning algorithm presented by Jardine and McMullin (2017), which is proven to be successful for the entire TSL k class (i.e., for any given k), begins with the hypothesis that T = Σ (see also Jardine & Heinz, 2016). It then removes segments from the tier one-by-one when possible, on the basis of overt evidence that they do not themselves figure in R and that co-occurrence restrictions hold across them (i.e., that they are transparent, not blockers).…”
Section: Formal Language Theorymentioning
confidence: 99%
“…13 Secondly, the learners' apparent preference for strictly transvocalic over unbounded locality (when faced with ambiguous evidence) translates into a preference for hypothesizing a tier containing all consonants over one that contains only a subset of consonants (namely liquids), other things being equal. Interestingly, the formal learning algorithm presented by Jardine and McMullin (2017), which is proven to be successful for the entire TSL k class (i.e., for any given k), begins with the hypothesis that T = Σ (see also Jardine & Heinz, 2016). It then removes segments from the tier one-by-one when possible, on the basis of overt evidence that they do not themselves figure in R and that co-occurrence restrictions hold across them (i.e., that they are transparent, not blockers).…”
Section: Formal Language Theorymentioning
confidence: 99%
“…We contend that this view is overly generous and that tighter bounds can be established, at least for specific subparts of morphology. Morphotactics defines the restrictions on the possible orderings of morphological units, and we argued based on data from typologically diverse languages that the power of natural language morphotactics is severely restricted:128 Subregular Morphotactics All morphotactic dependencies are tier-based strictly local.In contrast to regular languages, tier-based strictly local languages are efficiently learnable in the limit from positive text (Heinz et al, 2012;Jardine and Heinz, 2016). Our result thus marks a first step towards provably correct machine learning algorithms for natural language morphology.…”
mentioning
confidence: 94%
“…The subregular hierarchy includes many other classes (see Fig. 1), but the previous three are noteworthy because they are conceptually simple and efficiently learnable in the limit from positive data (Heinz et al, 2012;Jardine and Heinz, 2016) while also furnishing sufficient power for a wide range of phonological phenomena (Heinz, 2015;Jardine, 2015).In this section, we investigate the role of strictly local, strictly piecewise and tier-based strictly local patterns in morphotactics. We show that some but not all patterns are strictly local or strictly piecewise, whereas all typologically instantiated patterns seem to fit in the class of tier-based strictly local languages.…”
mentioning
confidence: 99%
“…In contrast to regular languages, tier-based strictly local languages are efficiently learnable in the limit from positive text (Heinz et al, 2012;Jardine and Heinz, 2016). Our result thus marks a first step towards provably correct machine learning algorithms for natural language morphology.…”
Section: Resultsmentioning
confidence: 78%
“…The subregular hierarchy includes many other classes (see Fig. 1), but the previous three are noteworthy because they are conceptually simple and efficiently learnable in the limit from positive data (Heinz et al, 2012;Jardine and Heinz, 2016) while also furnishing sufficient power for a wide range of phonological phenomena (Heinz, 2015;Jardine, 2015).…”
Section: Subregular Patterns In Morphologymentioning
confidence: 99%