Frequency of violation and constraint-based phonological learning

Abstract This paper provides two arguments that error-driven constraint-based grammars should not be learned by directly mirroring the frequency of constraint violation and satisfaction in the target words of a language. The first argument comes from a class of stages attested in phonological development, called Intermediate Faith (IF) stages, in which children produce marked structures only in privileged positions. Two such stages are presented and analyzed, from the literature on English and French L1 acquisition, and their learning consequences are examined. The second argument concerns the degree of restrictiveness that a learner's end-state grammar encodes, using two hypothetical interactions between learner's assumptions about hidden structure and developing constraint rankings that can trick a learner into adopting a superset grammar. These two arguments are used to support an approach called Error-Selective Learning (ESL), in which errors are learned and stored gradually, in a way that relies on violation frequency, but rankings themselves are learned in a non-gradual way (relying on the algorithms of Prince and Tesar, 2004; Hayes, 2004 ). It is also shown that violation frequencies can still cause problems regardless of a learner's method of grammatical evaluation—either ranked constraints as in Optimality Theory, or weighted constraints as in Harmonic Grammar.

[1]  J. McCarthy Morpheme structure constraints and paradigm occultation , 1998 .

[2]  Diana Apoussidou,et al.  The learnability of metrical phonology , 2007 .

[3]  Paul Boersma,et al.  Praat, a system for doing phonetics by computer , 2002 .

[4]  René Kager,et al.  Markedness and faithfulness constraints in child phonology , 2004 .

[5]  L. Gerken PROSODIC STRUCTURE IN YOUNG CHILDREN'S LANGUAGE PRODUCTION , 1996 .

[6]  L. Lombardi Positional Faithfulness and Voicing Assimilation in Optimality Theory , 1999 .

[7]  Robert C. Berwick,et al.  The acquisition of syntactic knowledge , 1985 .

[8]  P. Fikkert On the acquisition of prosodic structure , 1994 .

[9]  A. Gnanadesikan Constraints in Phonological Acquisition: Markedness and faithfulness constraints in child phonology , 2004 .

[10]  René Kager,et al.  Input Elaboration , Head Faithfulness and Evidence for Representation in the Acquisition of Left-edge Clusters in West Germanic , 2006 .

[11]  R. Shillcock,et al.  Proceedings of the Twenty-Sixth Annual Conference of the Cognitive Science Society , 1998 .

[12]  Joe Pater Gradual Learning and Convergence , 2008, Linguistic Inquiry.

[13]  Junko Ito,et al.  The Phonological Lexicon , 2008 .

[14]  Joe Pater Minimal Violation and Phonological Development , 1997 .

[15]  Anne-Michelle Tessier,et al.  Stages of Phonological Acquisition andError-Selective Learning , 2006 .

[16]  Bruce Tesar,et al.  Constraints in Phonological Acquisition: Learning phonotactic distributions , 2004 .

[17]  M. Schlesewsky,et al.  Gradience in grammar : generative perspectives , 2006 .

[18]  J. Vachek С. ENGLISH PHONOLOGY , 1976 .

[19]  Wim Zonneveld,et al.  Learning phonotactic distributions , 2004 .

[20]  Alternative Grammars in Acquisition : Markedness-vs . Faithfulness-oriented Learning , 2004 .

[21]  Edward Flemming Scalar and categorical phenomena in a unified model of phonetics and phonology , 2001, Phonology.

[22]  T. A. Hall,et al.  Paradigms in phonological theory , 2004 .

[23]  Christopher Potts,et al.  Linguistic Optimization ∗ , 2007 .

[24]  Kie Zuraw,et al.  Patterned exceptions in phonology , 2000 .

[25]  Bruce Tesar,et al.  A Comparison of Lexicographic and Linear Numeric Optimization Using Violation Difference Ratios * , 2007 .

[26]  Lisa Pearl Putting the Emphasis on Unambiguous : The Feasibility of Data Filtering for Learning English Metrical Phonology , 2007 .

[27]  Amy Weinberg,et al.  Necessary bias in natural language learning , 2007 .

[28]  Jennifer L. Smith Lexical Category and Phonological Contrast , 2001 .

[29]  Joe Pater,et al.  Phonological Acquisition as WeightedConstraint Interaction , 2007 .

[30]  Karen Jesney,et al.  Phonological Acquisition as Weighted Constraint Interaction , 2007 .

[32]  Natsuko Tsujimura,et al.  The handbook of Japanese linguistics , 2001 .

[33]  Alan S. Prince,et al.  Faithfulness and reduplicative identity , 1995 .

[34]  Paul Boersma,et al.  Praat: doing phonetics by computer , 2003 .

[35]  J. Tomblin,et al.  Regressions in the phonological development of two children , 1991 .

[36]  B. Dresher,et al.  A computational learning model for metrical phonology , 1990, Cognition.

[37]  Dana Angluin,et al.  Inductive Inference of Formal Languages from Positive Data , 1980, Inf. Control..

[38]  Marilyn M. Vihman,et al.  The Optimal Initial State , 2002 .

[39]  P. Smolensky,et al.  Harmonic Grammar -- A Formal Multi-Level Connectionist Theory of Linguistic Well-Formedness: An Application ; CU-CS-464-90 , 1990 .

[40]  Stuart Davis Capitalistic v. Militaristic: The Paradigm Uniformity Effect Reconsidered , 2004 .

[41]  Elissa L. Newport,et al.  The Role of Stress and Position in Determining First Words , 1992 .

[42]  Y. Miyata,et al.  Harmonic grammar: A formal multi-level connectionist theory of linguistic well-formedness: Theoretic , 1990 .

[43]  William J. Turkel,et al.  The Logical Problem of Language Acquisition in Optimality Theory , 1998 .

[44]  P. Smolensky On the comprehension/production dilemma in child language , 1996 .

[45]  P. Boersma,et al.  Empirical Tests of the Gradual Learning Algorithm , 2001, Linguistic Inquiry.

[46]  Yvan Rose Headedness and Prosodic Licensing in the L1 Acquisition of Phonology , 2000 .

[47]  Cecilia J. Kirk,et al.  Markedness versus frequency effects in coda acquisition , 2004 .

[48]  Eugenio Alberdi,et al.  Proceedings of the Twentieth Annual Conference of the Cognitive Science Society , 1998 .

[49]  C. Stoel-Gammon,et al.  Truncation patterns in English-speaking children's word productions. , 1997, Journal of speech, language, and hearing research : JSLHR.

[50]  Anne-Michelle Tessier,et al.  Biases and Stages in Phonological Acquisition , 2008 .

[51]  Catherine E. Snow,et al.  Children's language , 1990 .

[52]  J. McCarthy OT constraints are categorical , 2003, Phonology.

[53]  Christopher Potts,et al.  Harmonic Grammar with linear programming: from linear systems to linguistic typology* , 2010, Phonology.

[54]  Bezalel Elan Dresher,et al.  Charting the Learning Path: Cues to Parameter Setting , 1999, Linguistic Inquiry.

[55]  Bruce Tesar,et al.  Learning phonotactic distributions , 2004 .

[56]  Anne-Michelle Tessier,et al.  Re-evaluating learning biases in Harmonic Grammar , 2007 .

[57]  Joe Pater,et al.  Weighted constraints and gradient restrictions on place co-occurrence in Muna and Arabic , 2008 .

[58]  Neilson V. Smith,et al.  The Acquisition of Phonology: A Case Study , 2010 .

[59]  Rajesh Bhatt,et al.  Harmonic grammar with linear programming , 2007 .

[60]  K. Demuth,et al.  The Structure of Branching Onsets and Rising Diphthongs: Evidence from the Acquisition of French and Spanish , 2008 .

[61]  A.H.J. Do,et al.  Proceedings of the 26th Annual Boston University Conference on Language Development , 2002 .

[62]  Wim Zonneveld,et al.  Constraints in Phonological Acquisition , 2009 .

[63]  Bruce Tesar,et al.  An iterative strategy for language learning , 1998 .

[64]  Cheryl Zoll,et al.  onset , 2018, Speech Processing.

[65]  Paul Boersma,et al.  Gradual constraint-ranking learning algorithm predicts acquisition order , 1999 .

[66]  Margaret Kehoe,et al.  Truncation Without Shape Constraints: The Latter Stages of Prosodic Acquisition , 2000 .

[67]  L. Menn Pattern, control, and contrast in beginning speech : a case study in the development of word form and word function , 1978 .

[68]  Jennifer L. Smith,et al.  Positional Faithfulness and Learnability in Optimality Theory , 2002 .

[69]  B. Hayes,et al.  Stochastic phonological knowledge: the case of Hungarian vowel harmony , 2006, Phonology.

[70]  B. Hayes,et al.  Phonological Acquisition in Optimality Theory: The Early Stages 1 , 1999 .

[71]  Frank Keller,et al.  Linear Optimality Theory as a Model of Gradience in Grammar , 2006 .

[72]  Gaja Jarosz,et al.  Rich Lexicons and Restrictive Grammars: Maximum Likelihood Learning in Optimality Theory , 2006 .

[73]  G. Booij The Phonology of Dutch , 1995 .

[74]  Anne-Michelle Tessier,et al.  Gradual Learning and Faithfulness: Consequences of Ranked vs. Weighted Constraints * , 2008 .

[75]  P. Smolensky,et al.  Optimality Theory: Constraint Interaction in Generative Grammar , 2004 .

[76]  Jongho Jun,et al.  Perceptual and articulatory factors in place assimilation : an optimality theoretic approach , 1995 .

[77]  D. Apoussidou,et al.  Comparing different Optimality-theoretic learning algorithms for Latin stress , 2004 .

[78]  Jennifer L. Smith Phonological Augmentation in Prominent Positions , 2004 .

[79]  M. Gouskova Deriving Economy: Syncope in Optimality Theory , 2003 .

[80]  Gerhard Jäger,et al.  Maximum Entropy Models and Stochastic Optimality Theory , 2003 .

[81]  P. Lacy,et al.  Papers in optimality theory , 1995 .

[82]  Brian Roark,et al.  Prosodic constraints and the learner’s environment: a corpus study , 2000 .

[83]  Mark Johnson,et al.  Learning OT constraint rankings using a maximum entropy model , 2003 .

[84]  Pilar Barbosa,et al.  Is the best good enough? : optimality and competition in syntax , 1998 .

[85]  Clara C. Levelt,et al.  Syllable Types in Cross-linguistic and Developmental Grammars * , 1998 .

[86]  Sharon Goldwater,et al.  Proceedings of the Workshop on Variation within Optimality Theory , 2003 .

[87]  B. Hayes,et al.  Phonological Acquisition in Optimality Theory: the Early Stages 1 Submitted for a Forthcoming Volume on Phonological Acquisition and Typology, Edited Phonological Acquisition in Optimality Theory: the Early Stages , 1999 .