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How abstract is more abstract? Learning abstract underlying representations*

Published online by Cambridge University Press:  14 August 2017

Charlie O'Hara*
Affiliation:
University of Southern California
*

Abstract

This paper presents a Maximum Entropy learner of grammars and lexicons (MaxLex), and demonstrates that MaxLex has an emergent preference for minimally abstract underlying representations. In order to keep the weight of faithfulness constraints low, the learner attempts to fill gaps in the lexical distribution of segments, making the underlying segment inventory more feature-economic. Even when the learner only has access to individual forms, properties of the entire system are implicitly available through the relative weighting of constraints. These properties lead to a preference for some abstract underlying representations over others, mitigating the computational difficulty of searching a large set of abstract forms. MaxLex is shown to be successful in learning certain abstract underlying forms through simulations based on the [i]~[Ø] alternation in Klamath verbs. The Klamath pattern cannot be represented or learned using concrete underlying representations, but MaxLex successfully learns both the phonotactic patterns and minimally abstract underlying representations.

Type
Articles
Copyright
Copyright © Cambridge University Press 2017 

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Footnotes

*

This paper has benefited greatly from comments on previous drafts by Karen Jesney, Reed Blaylock, Khalil Iskarous, Hayeon Jang, Roumyana Pancheva, Rachel Walker, as well as the editors and two anonymous reviewers. The work here has benefited greatly from discussions with the abovementioned people and Eric Baković, Michael Becker, Paul de Lacy, Josh Falk, Jeffrey Heinz, Brian Hsu, Martin Krämer, Giorgio Magri, Mairym Lloréns Monteserín, Joe Pater, Ezer Rasin, Jason Riggle, Stephanie Shih, Brian Smith and Adam Ussishkin, as well as audiences at OCP 12, SSILA 2015, CLS 51 and the USC PhonLunch.

The stimuli referred to in the paper are available as online supplementary materials at https://doi.org/10.1017/S0952675717000161.

References

REFERENCES

Albright, Adam (2002). The identification of bases in morphological paradigms. PhD dissertation, University of California, Los Angeles.Google Scholar
Alderete, John (2008). Using learnability as a filter on factorial typology: a new approach to Anderson and Browne's generalization. Lingua 118. 11771220.Google Scholar
Allen, Blake & Becker, Michael (2015). Learning alternations from surface forms with sub-lexical phonology. Ms, University of British Columbia & Stony Brook University. Available (May 2017) at http://ling.auf.net/lingbuzz/002503.Google Scholar
Baković, Eric (2009). Abstractness and motivation in phonological theory. Studies in Hispanic and Lusophone Linguistics 2. 183198.Google Scholar
Barker, M. A. R. (1963). Klamath dictionary. Berkeley & Los Angeles: University of California Press.Google Scholar
Barker, M. A. R. (1964). Klamath grammar. Berkeley & Los Angeles: University of California Press.Google Scholar
Beckman, Jill N. (1998). Positional faithfulness. PhD dissertation, University of Massachusetts, Amherst.Google Scholar
Bowers, Dustin (2015). A system for morphophonological learning and its consequences for language change. PhD dissertation, University of California Los Angeles.Google Scholar
Clements, G. N. (2003). Feature economy in sound systems. Phonology 20. 287333.Google Scholar
Coetzee, Andries W. & Pater, Joe (2011). The place of variation in phonological theory. In Goldsmith, John, Riggle, Jason & Yu, Alan (eds.) The handbook of phonological theory. 2nd edn. Malden, Mass. & Oxford: Wiley-Blackwell. 401431.Google Scholar
Eisenstat, Sarah (2009). Learning underlying forms with MaxEnt. MA thesis, Brown University.Google Scholar
Flora, Marie Jo-Ann (1974). Palauan phonology and morphology. PhD dissertation, University of California, San Diego.Google Scholar
Goldwater, Sharon & Johnson, Mark (2003). Learning OT constraint rankings using a Maximum Entropy model. In Spenader, Jennifer, Eriksson, Anders & Dahl, Östen (eds.) Proceedings of the Stockholm Workshop on Variation within Optimality Theory. Stockholm: Stockholm University. 111120.Google Scholar
Groot, A. W. de (1931). Phonologie und Phonetik als Funktionswissenschaften. Travaux du Cercle Linguistique de Prague 4. 116147.Google Scholar
Gouskova, Maria & Becker, Michael (2013). Nonce words show that Russian yer alternations are governed by the grammar. NLLT 31. 735765.Google Scholar
Hayes, Bruce (2004). Phonological acquisition in Optimality Theory: the early stages. In Kager, René, Pater, Joe & Zonneveld, Wim (eds.) Constraints in phonological acquisition. Cambridge: Cambridge University Press. 158203.Google Scholar
Hayes, Bruce & Wilson, Colin (2008). A maximum entropy model of phonotactics and phonotactic learning. LI 39. 379440.Google Scholar
Heinz, Jeffrey (2010). Learning long-distance phonotactics. LI 41. 623661.Google Scholar
Hockett, Charles F. (1955). A manual of phonology. Baltimore: Waverly Press.Google Scholar
Hughto, Coral, Pater, Joe & Staubs, Robert (2015). Grammatical agent-based modeling of typology. Paper presented at the GLOW Workshop on Computation, Learnability and Phonological Theory, Paris. Slides available (May 2017) at http://blogs.umass.edu/pater/files/2011/10/hughto-pater-staubs-glow.pdf.Google Scholar
Itô, Junko & Mester, Armin (1999). The phonological lexicon. In Tsujimura, Natsuko (ed.) The handbook of Japanese linguistics. Malden, Mass. & Oxford: Blackwell. 62100.Google Scholar
Jäger, Gerhard (2007). Maximum entropy models and Stochastic Optimality Theory. In Zaenen, Annie, Simpson, Jane, King, Tracy Holloway, Grimshaw, Jane, Maling, Joan & Manning, Chris (eds.) Architectures, rules, and preferences: variations on themes by Joan W. Bresnan. Stanford: CSLI. 467479.Google Scholar
Jäger, Gerhard & Rosenbach, Anette (2006). The winner takes it all – almost: cumulativity in grammatical variation. Linguistics 44. 937971.CrossRefGoogle Scholar
Jarosz, Gaja (2005). Polish yers and the finer structure of output-output correspondence. BLS 31. 181192.Google Scholar
Jarosz, Gaja (2006). Rich lexicons and restrictive grammars: maximum likelihood learning in Optimality Theory. PhD dissertation, Johns Hopkins University.Google Scholar
Jesney, Karen & Tessier, Anne-Michelle (2011). Biases in Harmonic Grammar: the road to restrictive learning. NLLT 29. 251290.Google Scholar
Kenstowicz, Michael & Kisseberth, Charles (1977). Topics in phonological theory. New York: Academic Press.Google Scholar
Kenstowicz, Michael & Kisseberth, Charles (1979). Generative phonology: description and theory. New York: Academic Press.Google Scholar
Kiparsky, Paul (1968). How abstract is phonology? In Fujimura, Osama (ed.) Three dimensions of linguistic theory . Tokyo: Taikusha. 556.Google Scholar
Kraft, Dieter (1988). A software package for sequential quadratic programming. Cologne: Deutsche Forschungs- und Versuchsanstalt für Luft- und Raumfahrt.Google Scholar
Martinet, André (1968). Phonetics and linguistic evolution. In Malmberg, Bertil (ed.) Manual of phonetics. Amsterdam: North-Holland. 464487.Google Scholar
Merchant, Nazarré & Tesar, Bruce (2008). Learning underlying forms by searching restricted lexical subspaces. CLS 41:2. 3347.Google Scholar
O'Hara, Charlie (2015). Positionally abstract underlying representations in Klamath. CLS 51. 397411.Google Scholar
Pater, Joe (2000). Non-uniformity in English secondary stress: the role of ranked and lexically specific constraints. Phonology 17. 237274.CrossRefGoogle Scholar
Pater, Joe (2005). Learning a stratified grammar. In Brugos, Alejna, Clark-Cotton, Manuella R. & Ha, Seungwan (eds.) Proceedings of the 29th Boston University Conference on Language Development. Somerville: Cascadilla. 482492.Google Scholar
Pater, Joe (2016). Learning in typological prediction: grammatical agent-based modeling. Paper presented at the 42nd Annual Meeting of the Berkeley Linguistics Society.Google Scholar
Pater, Joe & Staubs, Robert (2013). Feature economy and iterated grammar learning. Paper presented at the 21st Manchester Phonology Meeting.Google Scholar
Pater, Joe, Staubs, Robert, Jesney, Karen & Smith, Brian (2012). Learning probabilities over underlying representations. In Proceedings of the 12th Meeting of the Special Interest Group on Computational Morphology and Phonology. Montreal: Association for Computational Linguistics. 62–71. Available (January 2014) at www.aclweb.org/anthology/W12-2308.Google Scholar
Schane, Sanford (1974). How abstract is abstract? In Bruck, Anthony, Fox, Robert A. & La Galy, Michael W. (eds.) Papers from the parasession on natural phonology. Chicago: Chicago Linguistic Society. 297317.Google Scholar
Smolensky, Paul (1996). The initial state and ‘Richness of the Base’ in Optimality Theory. Ms, Johns Hopkins University. Available as ROA-154 from the Rutgers Optimality Archive.Google Scholar
Stanton, Juliet (2016). Learnability shapes typology: the case of the midpoint pathology. Lg 92. 753791.Google Scholar
Staubs, Robert, Culbertson, Jennifer, Hughto, Coral & Pater, Joe (2016). Grammar and learning in syntactic and phonological typology. Poster presented at the 90th Annual Meeting of the Linguistic Society of America, Washington, DC.Google Scholar
Staubs, Robert & Pater, Joe (2016). Learning serial constraint-based grammars. In McCarthy, John J. & Pater, Joe (eds.) Harmonic Grammar and Harmonic Serialism. London: Equinox. 369388.Google Scholar
Tesar, Bruce (2014). Output-driven phonology: theory and learning. Cambridge: Cambridge University Press.Google Scholar
Wilson, Colin (2006). Learning phonology with substantive bias: an experimental and computational study of velar palatalization. Cognitive Science 30. 945982.Google Scholar
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