Generalizing paerns in Instrumented Item-and-Paern Morphology Sarah Beniamine and Olivier Bonami Université Paris Diderot Laboratoire de linguistique formelle Labex EFL, opération Morph1 SNCL Workshop, May 30, 2016 0. Bonami & S. Beniamine Generalizing paerns in Intrumented IPa May 2016 1 / 29
Introduction Introduction: Item and Paern Morphology • Morphology is modeled directly in terms of surface alternations • Term due to Blevins (forthcoming); preferable to the ambiguous ‘Word and Paradigm’ • Consider French adjective paradigms: • Surface alternations between Lexeme . . . . forms lead to opacities that are lokal loko lokal lokal problematic for speakers. banal banal banal banal • Classical phonological and ɡɛ ɡɛ ɡɛ ɡɛ morphological analyses do not lɛ lɛ lɛd lɛd model these opacities, but try ʁɛd ʁɛd ʁɛd ʁɛd to reduce them. pʁɛ pʁɛ pʁɛt pʁɛ nɛt nɛt nɛt nɛt njɛ njɛ njɛz njɛz obɛz obɛz obɛz obɛz epɛ epɛ epɛs epɛs ɛkspʁɛs ɛkspʁɛs ɛkspʁɛs ɛkspʁɛs 0. Bonami & S. Beniamine Generalizing paerns in Intrumented IPa May 2016 2 / 29
Term due to Blevins (forthcoming); preferable to the ambiguous ‘Word and Paradigm’ Consider French adjective paradigms: Introduction Introduction: Item and Paern Morphology • Morphology is modeled directly in terms of surface alternations • . ∼ .: two paerns Lexeme . . . . 1 Xal ∼ Xo lokal loko lokal lokal 2 X ∼ X banal banal banal banal • This leads to uncertainty, as ɡɛ ɡɛ ɡɛ ɡɛ some . in -al do not lɛ lɛ lɛd lɛd alternate. ʁɛd ʁɛd ʁɛd ʁɛd pʁɛ pʁɛ pʁɛt pʁɛ • Thinking about morphemes (or nɛt nɛt nɛt nɛt processes) does not help njɛ njɛ njɛz njɛz address that uncertainty. obɛz obɛz obɛz obɛz epɛ epɛ epɛs epɛs ɛkspʁɛs ɛkspʁɛs ɛkspʁɛs ɛkspʁɛs 0. Bonami & S. Beniamine Generalizing paerns in Intrumented IPa May 2016 2 / 29
Term due to Blevins (forthcoming); preferable to the ambiguous ‘Word and Paradigm’ Consider French adjective paradigms: Introduction Introduction: Item and Paern Morphology • Morphology is modeled directly in terms of surface alternations • . ∼ .: numerous Lexeme . . . . paerns lokal loko lokal lokal 1 X ∼ X banal banal banal banal 2 X ∼ Xd ɡɛ ɡɛ ɡɛ ɡɛ 3 X ∼ Xt lɛ lɛ lɛd lɛd 4 X ∼ Xz ʁɛd ʁɛd ʁɛd ʁɛd 5 X ∼ Xs pʁɛ pʁɛ pʁɛt pʁɛ • This leads to more uncertainty. nɛt nɛt nɛt nɛt to unpredictable C drop njɛ njɛ njɛz njɛz to unpredictable epenthesis obɛz obɛz obɛz obɛz • Thinking about underlying epɛ epɛ epɛs epɛs representations does not help ɛkspʁɛs ɛkspʁɛs ɛkspʁɛs ɛkspʁɛs address that uncertainty. 0. Bonami & S. Beniamine Generalizing paerns in Intrumented IPa May 2016 2 / 29
Term due to Blevins (forthcoming); preferable to the ambiguous ‘Word and Paradigm’ Consider French adjective paradigms: Introduction Introduction: Item and Paern Morphology • Morphology is modeled directly in terms of surface alternations • Item and Paern Morphology Lexeme . . . . focuses on modeling lokal loko lokal lokal alternations themselves. banal banal banal banal • We can then quantify how ɡɛ ɡɛ ɡɛ ɡɛ harmful opacity is. lɛ lɛ lɛd lɛd ʁɛd ʁɛd ʁɛd ʁɛd • We do not try to infer abstract pʁɛ pʁɛ pʁɛt pʁɛ representations from which to nɛt nɛt nɛt nɛt reconstruct the surface forms. njɛ njɛ njɛz njɛz ☞ Not unfeasible or obɛz obɛz obɛz obɛz uninteresting, but a different epɛ epɛ epɛs epɛs enterprise. ɛkspʁɛs ɛkspʁɛs ɛkspʁɛs ɛkspʁɛs 0. Bonami & S. Beniamine Generalizing paerns in Intrumented IPa May 2016 2 / 29
Introduction Introduction: Intrumented IPa • Instrumented Item and Paern Morphology (IIPa) 1 Based on large, machine-readable datasets (corpora or lexica) (e.g. Albright, 2002) ⋆ Evaluating the prevalence of morphological phenomena is crucial ⋆ Enough data to see correct generalizations despite Zipfian distributions 2 Fully implemented analytic strategies (e.g. Albright, 2002; Stump and Finkel, 2013) ⋆ Systematization of descriptive practice ⋆ Cross-linguistic applicability 3 Focus on quantitative methods (Ackerman, Blevins, and Malouf, 2009; Ackerman and Malouf, 2013) ⋆ Gradience of morphological complexity • See among others Bonami and Boyé (2014), Bonami and Luı́s (2014), Sims (2015), and Malouf (2016) 0. Bonami & S. Beniamine Generalizing paerns in Intrumented IPa May 2016 3 / 29
Introduction Introduction, 3 • This talk focuses on the notion of a paern of alternation that is at the heart of current work in Instrumented IPa. • The plan: 1 Present key analytic techniques in Instrumented IPa 2 Evaluate the importance of the choice of a particular classification of alternations 3 Outline a new algorithm 4 Present preliminary results on Zenzonpetec Chatino (Oto-Manguean) 0. Bonami & S. Beniamine Generalizing paerns in Intrumented IPa May 2016 4 / 29
Results in Instrumented Item and Paern Morphology
Results in Instrumented Item and Paern Morphology Results in Intrumented IPa 1 Evaluating the predictibility of inflectional paradigms 1 Implicative entropy Principal part systems 2 2 Inflectional classification 1 Inference of macro-classes Inflection systems as semi-laices of classes 2 0. Bonami & S. Beniamine Generalizing paerns in Intrumented IPa May 2016 6 / 29
Results in Instrumented Item and Paern Morphology Predictivity in inflectional paradigms When a speaker knows only one form of a lexeme, how hard is it to predict the others? (Ackerman, Blevins, and Malouf (2009)’s Paradigm Cell Filling Problem) Consider French adjectives: . . • . ⇒ . is trivial • . ⇒ . is easy but not trivial, see /lokal/ ∼ /loko/ vs. /banal/ ∼ /banal/ • . ⇒ . is harder, see /lɛd/ ∼ /lɛ/ vs. /ʁɛd/ ∼ /ʁɛd/ • . ⇒ . is hardest, see /ɡɛ/ ∼ /ɡɛ/ vs. /lɛ/ ∼ /lɛd/ vs. /njɛ/ ∼ /njɛz/ vs. … . . 0. Bonami & S. Beniamine Generalizing paerns in Intrumented IPa May 2016 7 / 29
Results in Instrumented Item and Paern Morphology Implicative entropy Lexeme . . alternation . class lwajal lwajo X al ∼ X o C1 banal banal X ∼ X C1 kalm kalm X ∼ X C2 poli poli X ∼ X C2 Data sample: French masculine adjectives • For each pair of cells ( A , B ) , over a set lexicon: • Group lexemes by type of alternation: random variable A ∼ B • Group forms in A by shape, on the basis of which alternations these shapes are compatible with: random variable A A ∼ B • The implicative entropy from A to B is the conditional entropy of paerns of alternation given input cell. H ( A ⇒ B ) = H ( A ∼ B | A A ∼ B ) • In our example: H ( . ⇒ . ) = 0 . 5 0. Bonami & S. Beniamine Generalizing paerns in Intrumented IPa May 2016 8 / 29
Results in Instrumented Item and Paern Morphology Using implicative entropy • Creole complexity Language Mauritian French 0.017 Average 0.744 0.446 . . 0.039 Minimum 0.563 0 6 0 Maximum 0.925 0.916 2 . 0 0.190 (Bonami, Boyé, and Henri, 2011) 0.190 0.528 0.206 0.561 0 . 5 • Prediction from multiple cells 0 2 . 5 8 6 1 French E. Portuguese 0 . . 1 predictor 0.174 0.205 0 Average: 0.252 2 predictors 0.054 0.106 3 predictors 0.021 0.076 (Bonami and Beniamine, 2015) 0. Bonami & S. Beniamine Generalizing paerns in Intrumented IPa May 2016 9 / 29
Results in Instrumented Item and Paern Morphology Systems of principal parts • Principal part system: a set of perfect predictor cells • A traditional pedagogical tool • Stump and Finkel (2013): Cardinality of the smallest such set is an indicator of the complexity of an inflection system. • Can be deduced from implicative entropy ▶ Set of cells from which implicative entropy to all other cells is 0 Language 1 cell 2 cells 3 cells French conjugation 0 0 0 E. Portuguese conjugation 0 184 7884 Number of distinct categorical systems of principal parts 0. Bonami & S. Beniamine Generalizing paerns in Intrumented IPa May 2016 10 / 29
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