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Implicational markedness and frequency in constraint-based computational models of phonological learning*

Published online by Cambridge University Press:  22 March 2010

GAJA JAROSZ*
Affiliation:
Yale University
*
Address for correspondence: Department of Linguistics, Yale University, 370 Temple St., Room 204, P.O. Box 208366, New Haven, CT 06520-8366, USA. Email: gaja.jarosz@yale.edu

Abstract

This study examines the interacting roles of implicational markedness and frequency from the joint perspectives of formal linguistic theory, phonological acquisition and computational modeling. The hypothesis that child grammars are rankings of universal constraints, as in Optimality Theory (Prince & Smolensky, 1993/2004), that learning involves a gradual transition from an unmarked initial state to the target grammar, and that order of acquisition is guided by frequency, along the lines of Levelt, Schiller & Levelt (2000), is investigated. The study reviews empirical findings on syllable structure acquisition in Dutch, German, French and English, and presents novel findings on Polish. These comparisons reveal that, to the extent allowed by implicational markedness universals, frequency covaries with acquisition order across languages. From the computational perspective, the paper shows that interacting roles of markedness and frequency in a class of constraint-based phonological learning models embody this hypothesis, and their predictions are illustrated via computational simulation.

Type
Articles
Copyright
Copyright © Cambridge University Press 2010

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Footnotes

[*]

I would like to thank the editors, the guest editor Brian MacWhinney and an anonymous reviewer for their helpful comments, and especially Paul Boersma for his extensive review. Many thanks to Richard Weist for digitizing and sharing the audio-recordings of the Polish CHILDES data, and to Yvan Rose for providing the software and technical support to help with transcription of the data. The development of this work has also benefited by comments from Joe Pater, Karen Jesney, Kathryn Flack, Adam Albright and audiences at SUNY, NYU and the First Northeast Computational Phonology Meeting, where portions of this work were presented.

References

REFERENCES

Albright, Adam, Magri, Giorgio & Michaels, Jennifer (2008). Modeling doubly marked lags with a split additive model. In Chan, Harvey, Jacob, Heather & Kapia, Enkeleida (eds), BUCLD 32: Proceedings of the 32nd annual Boston University Conference on Language Development, 3647. Somerville, MA: Cascadilla Press.Google Scholar
Anttila, A. & Andrus, C. (2006). T-Order Generator. Software package, Stanford University. Retrieved from www.stanford.edu/~anttila/research/software.html.Google Scholar
Baayen, R. H., Piepenbrock, R. & Gulikers, L. (1995). The CELEX Lexical Database (Release 2) [CD-ROM]. Philadelphia, PA: Linguistic Data Consortium, University of Pennsylvania [Distributor].Google Scholar
Bernstein-Ratner, N. (1982). Acoustic study of mothers' speech to language-learning children: An analysis of vowel articulatory characterstics. Unpublished doctoral dissertation, Boston University.Google Scholar
Blevins, J. (1995). The syllable in phonological theory. In Goldsmith, J. (ed.), The handbook of phonological theory, 206244. Cambridge, MA: Blackwell.Google Scholar
Boersma, P. (1998). Functional phonology: Formalizing the interactions between articulatory and perceptual drives. The Hague: Holland Academic Graphics.Google Scholar
Boersma, P. & Levelt, C. (2000). Gradual constraint-ranking learning algorithm predicts acquisition order. In Clark, Eve V. (ed.), The proceedings of the thirtieth annual child language research forum, 229–37. Stanford, CA: CSLI.Google Scholar
Boersma, P. & Pater, J. (2008). Convergence properties of a Gradual Learning Algorithm for Harmonic Grammar. Unpublished ms, University of Amsterdam and University of Massachusetts, Amherst.Google Scholar
Boersma, P. & Weenink, D. (2008). Praat: Doing phonetics by computer (Version 5.0.17) [Computer program]. Retrieved from www.praat.org/. Developed at the Institute of Phonetic Sciences, University of Amsterdam.Google Scholar
Brown, R. (1973). A first language: The early stage. Cambridge, MA: Harvard University Press.CrossRefGoogle Scholar
Clements, G. N. (1990). The role of the sonority cycle in core syllabification. In Kingston, J. & Beckman, M. (eds), Papers in laboratory phonology I: Between the grammar and physics of speech, 283333. New York: Cambridge University Press.CrossRefGoogle Scholar
Dempster, A., Laird, M. & Rubin, D. (1977). Maximum Likelihood from incomplete data via the EM Algorithm. Journal of Royal Statistics Society, 39(B): 138.Google Scholar
Demuth, K. (in press). The prosody of syllables, words and morphemes. In Bavin, E. (ed.), Cambridge handbook on child language. Cambridge: Cambridge University Press.Google Scholar
Demuth, K. & Kehoe, M. (2006). The acquisition of word-final clusters in French. Journal of Catalan Linguistics 5, 5981.CrossRefGoogle Scholar
Demuth, K. & McCullough, E. (to appear). The longitudinal development of clusters in French. Journal of Child Language.Google Scholar
Fikkert, P. (1994). On the acquisition of prosodic structure. Dordrecht: Holland Institute of Generative Linguistics.Google Scholar
Fikkert, P. & Levelt, C. C. (2008). How does place fall into place? The lexicon and emergent constraints in children's developing phonological grammar. In Avery, P., Elan Dresher, B. & Rice, K. (eds), Contrast in phonology: Theory, perception, acquisition (Phonology and Phonetics 13), 231–70. Berlin: Mouton.CrossRefGoogle Scholar
Flack, K. (2007). Sources of phonological markedness. Unpublished doctoral dissertation, University of Massachusetts, Amherst.Google Scholar
Goad, H. (1998). Consonant harmony in child language: An Optimality-Theoretic account. In Hannahs, S. J. & Young-Scholten, Martha (eds), Focus on phonological acquisition, 113–42. Amsterdam: John Benjamins.Google Scholar
Goldwater, S. & Johnson, M. (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, 111–20. Stockholm: Stockholm University.Google Scholar
Gnanadesikan, A. (1995/2004). Markedness and faithfulness constraints in child phonology. In Kager, R., Pater, J. & Zonneveld, W. (eds), Constraints in phonological acquisition, 73–109. Cambridge: Cambridge University Press.Google Scholar
Hayes, B. (1999). Phonetically-driven phonology: The role of Optimality Theory and inductive grounding. In Darnell, Michael, Moravscik, Edith, Noonan, Michael, Newmeyer, Frederick & Wheatly, Kathleen (eds), Functionalism and formalism in linguistics, Volume I: General papers, 243–85. Amsterdam: John Benjamins.CrossRefGoogle Scholar
Hilaire-Debove, G. & Kehoe, M. (2004). Acquisition des consonnes finales (codas) chez les enfants francophones: Des universaux aux spécificités de la langue maternelle. In Actes de la 25ème Journée d'Études sur la Parole, 265–68. Fez: Moracco.Google Scholar
David, Ingram (1988). The acquisition of word-Initial [v]. Language and Speech 31(1): 7785.Google Scholar
Jakobson, R. (1941/1968). Child language aphasia and phonological universals. The Hague: Mouton.Google Scholar
Jarosz, G. (2006). Rich lexicons and restrictive grammars – maximum likelihood learning in Optimality Theory. Unpublished doctoral dissertation, Johns Hopkins University.Google Scholar
Jäger, G. (to appear). Maximum entropy models and Stochastic Optimality Theory. In Grimshaw, Jane, Maling, Joan, Manning, Chris, Simpson, Jane & Zaenen, Annie (eds), Architectures, rules, and preferences: A festschrift for Joan Bresnan. Stanford, CA: CSLI.Google Scholar
Jäger, G. & Rosenbach, A. (2006). The winner takes it all – almost. Cumulativity in grammatical variation. Linguistics 44, 937–71.CrossRefGoogle Scholar
Jesney, K. & Tessier, A. (to appear). Biases in Harmonic Grammar: The road to restrictive learning. Natural Language and Linguistic Theory.Google Scholar
Kehoe, M. & Stoel Gammon, C. (2001). Development of syllable structure in English-speaking children with particular reference to rhymes. Journal of Child Language 28, 393432.CrossRefGoogle ScholarPubMed
Keller, F. (2006). Linear Optimality Theory as a model of gradience in grammar. In Fanselow, Gisbert, Féry, Caroline, Vogel, Ralph & Schlesewsky, Matthias (eds), Gradience in grammar: Generative perspectives, 270–87. Oxford: Oxford University Press.CrossRefGoogle Scholar
Kirk, C. & Demuth, K. (2005). Asymmetries in the acquisition of word-initial and word-final consonant clusters. Journal of Child Language 32(4), 709–34.CrossRefGoogle ScholarPubMed
Legendre, G., Miyata, Y. & Smolensky, P. (1990 a). Harmonic Grammar – a formal multilevel connectionist theory of linguistic wellformedness: An application. In Proceedings of the twelfth annual conference of the Cognitive Science Society, 884–91. Cambridge, MA: Lawrence Erlbaum.Google Scholar
Legendre, G., Miyata, Y. & Smolensky, P. (1990 b). Harmonic Grammar – a formal multi-level connectionist theory of linguistic wellformedness: Theoretical foundations. In Proceedings of the twelfth annual conference of the Cognitive Science Society, 388–95. Cambridge, MA: Lawrence Erlbaum.Google Scholar
Legendre, G., Sorace, A. & Smolensky, P. (2006). The Optimality Theory–Harmonic Grammar connection. In Smolensky, P. & Legendre, G. (eds), The harmonic mind: From neural computation to Optimality-Theoretic grammar, 339402. Cambridge, MA: MIT Press.Google Scholar
Levelt, C. C., Schiller, N. O. & Levelt, W. J. (2000). The acquisition of syllable types. Language Acquisition 8, 237–64.CrossRefGoogle Scholar
Levelt, C. & van de Vijver, R. (1998/2004). Syllable types in cross-linguistic and developmental grammars. In Kager, R., Pater, J. & Zonneveld, W. (eds), Constraints in phonological acquisition, 204218. Cambridge: Cambridge University Press. Original version available on Rutgers Optimality Archive, ROA-265.Google Scholar
Li, P. & Shirai, Y. (2000). The acquisition of lexical and grammatical aspect. Berlin & New York: Mouton de Gruyter.CrossRefGoogle Scholar
Lleo, C. & Prinz, M. (1996). Consonant clusters in child phonology and the directionality of syllable structure assignment. Journal of Child Language 23, 3156.CrossRefGoogle ScholarPubMed
Łukaszewicz, B. (2007). Reduction in syllable onsets in the acquisition of Polish: Deletion, coalescence, metathesis, and gemination. Journal of Child Language 34(1), 5282.CrossRefGoogle ScholarPubMed
MacWhinney, B. (2000). The CHILDES project: Tools for analyzing talk. 3rd edn.Mahwah, NJ: Lawrence Erlbaum Associates.Google Scholar
Pater, J. (1997). Minimal violation and phonological development. Language Acquisition 6, 201–53.CrossRefGoogle Scholar
Pater, J. (2008). Gradual learning and convergence. Linguistic Inquiry 39(2), 334–45.CrossRefGoogle Scholar
Pater, J. (2009). Weighted constraints in generative linguistics. Cognitive Science 33, 999–1035.CrossRefGoogle ScholarPubMed
Pater, J. & Werle, A. (2001). Typology and variation in child consonant harmony. In Féry, Caroline, Green, Antony Dubach & van de Vijver, Ruben (eds), Proceedings of HILP5, 119–39. Potsdam: University of Potsdam.Google Scholar
Prince, A. (2002). Anything goes. In Honma, Takeru, Okazaki, Masao, Tabata, Toshiyuki & Tanaka, Shin-ichi (eds), New century of phonology and phonological theory, 6690. Tokyo: Kaitakusha.Google Scholar
Prince, A. & Smolensky, P. (1993/2004). Optimality Theory: Constraint interaction in generative grammar. Technical Report, Rutgers University and University of Colorado at Boulder, 1993. Revised version published by Blackwell, 2004.CrossRefGoogle Scholar
Rose, Y. (2003). ChildPhon: A database solution for the study of child phonology. In Beachley, Barbara, Brown, Amanda & Conlin, Frances (eds), Proceedings of the 27th Annual Boston University Conference on Language Development, 674–85. Somerville, MA: Cascadilla Press.Google Scholar
Smith, N. (1973). The acquisition of phonology: A case study. Cambridge: Cambridge University Press.Google Scholar
Smolensky, P. (1996). The initial state and ‘richness of the base’. Technical Report, Department of Cognitive Science, the Johns Hopkins University, Baltimore, Maryland.Google Scholar
Smolensky, P. & Legendre, G. (2006). The harmonic mind: From neural computation to Optimality-Theoretic grammar. Cambridge, MA: MIT Press.Google Scholar
Stampe, D. (1969). The acquisition of phonemic representation. In Davidson, Alice, Green, Georgia & Morgan, Jerry (eds), Papers from the 5th regional meeting of the Chicago Linguistics Society, 433–44. Chicago: Chicago Linguistics Society.Google Scholar
Szagun, G. (2001). Learning different regularities: The acquisition of noun plurals by German-speaking children. First Language 21, 109141.CrossRefGoogle Scholar
Templin, M. (1957). Certain language skills in children: Their development and interrelationships (Monograph Series No. 26). Minneapolis: University of Minnesota, The Institute of Child Welfare.CrossRefGoogle Scholar
Tesar, B. (2007). A comparison of lexicographic and linear numeric optimization using violation difference ratios. Unpublished ms, Rutgers University.Google Scholar
Weide, R. L. (1994). CMU pronouncing dictionary. www.speech.cs.cmu.edu/cgi-bin/cmudict.Google Scholar
Weist, R. & Witkowska-Stadnik, K. (1986). Basic relations in child language and the word order myth. International Journal of Psychology 21, 363–81.CrossRefGoogle Scholar
Weist, R., Wysocka, H., Witkowska-Stadnik, K., Buczowska, E. & Konieczna, E. (1984). The defective tense hypothesis: On the emergence of tense and aspect in child Polish. Journal of Child Language 11, 347–74.CrossRefGoogle ScholarPubMed
Zamuner, T. S., Kerkhoff, A. & Fikkert, P. (in preparation). Children's knowledge of how phonotactics and morphology interact.Google Scholar
Zydorowicz, P. (2007). Polish morphonotactics in first language acquisition. In Florian Menz and Marcus Rheindorf (eds), Weiner Linguistische Gazette 74, 2444.Google Scholar