Online Learning Mechanisms for Bayesian Models of Word Segmentation
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Abstract
In recent years, Bayesian models have become increasingly popular as a way of understanding human cognition. Ideal learner Bayesian models assume that cognition can be usefully understood as optimal behavior under uncertainty, a hypothesis that has been supported by a number of modeling studies across various domains (e.g., Griffiths and Tenenbaum, Cognitive Psychology, 51, 354–384, 2005; Xu and Tenenbaum, Psychological Review, 114, 245–272, 2007). The models in these studies aim to explain why humans behave as they do given the task and data they encounter, but typically avoid some questions addressed by more traditional psychological models, such as how the observed behavior is produced given constraints on memory and processing. Here, we use the task of word segmentation as a case study for investigating these questions within a Bayesian framework. We consider some limitations of the infant learner, and develop several online learning algorithms that take these limitations into account. Each algorithm can be viewed as a different method of approximating the same ideal learner. When tested on corpora of English child-directed speech, we find that the constrained learner’s behavior depends non-trivially on how the learner’s limitations are implemented. Interestingly, sometimes biases that are helpful to an ideal learner hinder a constrained learner, and in a few cases, constrained learners perform equivalently or better than the ideal learner. This suggests that the transition from a computational-level solution for acquisition to an algorithmic-level one is not straightforward.
Keywords
Algorithmic level Bayesian models Computational level English Ideal learning Online learning Processing limitations Word segmentationNotes
Acknowledgments
We would like to thank the audiences at the PsychoComputational Models of Human Language workshop in 2009, BUCLD 34, three anonymous reviewers, Alexander Clark, William Sakas, Tom Griffiths, and Michael Frank. We would also like to give a special thanks to Jim White for his insight about the differences in performance between the ideal and online Bayesian learners. This work was supported by NSF grant BCS-0843896 to the first author and CORCL grant MI 14B-2009-2010 to the first and third authors.
Open Access
This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
References
- Anderson J. R., Schooler L. J. (2000) The adaptive nature of memory. In: Tulving E., Craik F. I. M. (eds) The Oxford handbook of memory. Oxford University Press, Oxford, pp 557–570Google Scholar
- Bernstein-Ratner N. (1984) Patterns of vowel modification in motherese. Journal of Child Language 11: 557–578Google Scholar
- Blanchard D., Heinz J., Golinkoff R. (2010) Modeling the contribution of phonotactic cues to word segmentation. Journal of Child Language 27: 487–511CrossRefGoogle Scholar
- Brent M. (1999) An efficient, probabilistically sound algorithm for segmentation and word discovery. Machine Learning 34: 71–105CrossRefGoogle Scholar
- Brown S., Steyvers M. (2009) Detecting and predicting changes. Cognitive Psychology 58: 49–67CrossRefGoogle Scholar
- Christiansen M., Allen J., Seidenberg M. (1998) Learning to segment speech using multiple cues: A connectionist model. Language and Cognitive Processes 13: 221–268CrossRefGoogle Scholar
- Curtin S., Mintz T., Christansen M. (2005) Stress changes the representational landscape: Evidence from word segmentation in infants. Cognition 96: 233–262CrossRefGoogle Scholar
- Ferguson T. (1973) A Bayesian analysis of some nonparametric problems. Annals of Statistics 1: 209–230CrossRefGoogle Scholar
- Fleck, M. (2008). Lexicalized phonotactic word segmentation. In Proceedings of the association for computational linguistics (pp. 130–138).Google Scholar
- Frank M. C., Goodman N. D., Tenenbaum J. (2009) Using speakers’ referential intentions to model early cross-situational word learning. Psychological Science 20: 579–585CrossRefGoogle Scholar
- Gambell T., Yang C. (2006) Word segmentation: Quick but not dirty. Manuscript. Yale University, New HavenGoogle Scholar
- Griffiths T. L., Chater N., Kemp C., Perfors A., Tenenbaum J. B. (2010) Probabilistic models of cognition: Exploring representations and inductive biases. Trends in Cognitive Sciences 14: 357–364CrossRefGoogle Scholar
- Griffiths T. L., Kemp C., Tenenbaum J. B. (2008) Bayesian models of cognition. In: Sun Ron (Ed.) The Cambridge handbook of computational cognitive modeling. Cambridge University Press, CambridgeGoogle Scholar
- Griffiths T. L., Tenenbaum J. B. (2005) Structure and strength in causal induction. Cognitive Psychology 51: 354–384CrossRefGoogle Scholar
- Goldwater (2006). Nonparametric Bayesian models of lexical acquisition. Ph.D. thesis, Brown University.Google Scholar
- Goldwater S., Griffiths T., Johnson M. (2007) Distributional cues to word boundaries: Context is important. In: Caunt-Nulton H., Kulatilake S., Woo I. (eds) BUCLD 31: Proceedings of the 31st annual Boston university conference on language development. Cascadilla Press, Somerville, MA, pp 239–250Google Scholar
- Goldwater S., Griffiths T.L., Johnson M. (2009) A Bayesian framework for word segmentation: Exploring the effects of context. Cognition 112(1): 21–54CrossRefGoogle Scholar
- Hewlett, D., & Cohen, P. (2009). Bootstrap voting experts. In Proceedings of the twenty-first international joint conference on artificial intelligence (IJCAI-09) (pp. 1071–1076). Available at http://www.ijcai.org/papers09/contents.php.
- Johnson E., Jusczyk P. (2001) Word segmentation by 8-month-olds: When speech cues count more than statistics. Journal of Memory and Language 44: 548–567CrossRefGoogle Scholar
- Johnson, M., Griffiths, T., & Goldwater, S. (2007). Bayesian inference for PCFGs via Markov Cain Monte Carlo. In Proceedings of the meeting of the North American association for computational linguistics.Google Scholar
- Jusczyk P., Goodman M., Baumann A. (1999a) Nine-month-olds’ attention to sound similarities in syllables. Journal of Memory & Language 40: 62–82CrossRefGoogle Scholar
- Jusczyk P., Hohne E., Baumann A. (1999b) Infants’ sensitivity to allophonic cues for word segmentation. Perception and Psychophysics 61: 1465–1476CrossRefGoogle Scholar
- Juszcyk P., Houston D., Newsome M. (1999c) The beginnings of word segmentation in English-learning infants. Cognitive Psychology 39: 159–207CrossRefGoogle Scholar
- MacWhinney B. (2000) The CHILDES project: Tools for analyzing talk. Lawrence Erlbaum Associates, Mahwah, NJGoogle Scholar
- Marr D. (1982) Vision. Freeman, San FranciscoGoogle Scholar
- Marthi, B., Pasula, H., Russell, S., & Peres, Y., et al. (2002). Decayed MCMC Filtering. In Proceedings of 18th UAI (pp. 319–326).Google Scholar
- Mattys S., Jusczyk P., Luce P., Morgan J. (1999) Phonotactic and prosodic effects on word segmentation in infants. Cognitive Psychology 38: 465–494CrossRefGoogle Scholar
- McClelland J. L., Botvinick M. M., Noelle D. C., Plaut D. C., Rogers T. T., Seidenberg M. S., Smith L. B. (2010) Letting structure emerge: Connectionist and dynamical systems approaches to understanding cognition. Trends in Cognitive Sciences 14: 348–356CrossRefGoogle Scholar
- Morgan J., Bonamo K., Travis L. (1995) Negative evidence on negative evidence. Developmental Psychology 31: 180–197CrossRefGoogle Scholar
- Newport E. (1990) Maturational constraints on language learning. Cognitive Science 14: 11–28CrossRefGoogle Scholar
- Oaksford M., Chater N. (1998) Rational models of cognition. Oxford University Press, Oxford, EnglandGoogle Scholar
- Pelucchi B., Hay J., Saffran J. (2009) Learning in reverse: Eight-month-old infants track backward transitional probabilities. Cognition 113: 244–247CrossRefGoogle Scholar
- Perruchet P., Desaulty S. (2008) A role for backward transitional probabilities in word segmentation?. Memory and Cognition 36: 1299–1305CrossRefGoogle Scholar
- Peters A. (1983) The Units of Language Acquisition, Monographs in Applied Psycholinguistics. Cambridge University Press, New YorkGoogle Scholar
- Saffran J., Aslin R., Newport E. (1996) Statistical learning by 8-month-olds. Science 274: 1926–1928CrossRefGoogle Scholar
- Saffran J. R. (2001) The use of predictive dependencies in language learning. Journal of Memory and Language 44: 493–513CrossRefGoogle Scholar
- Sanborn, A. N., Griffiths, T. L., & Navarro, D. J. (in press). Rational approximations to rational models: Alternative algorithms for category learning. Psychological Review.Google Scholar
- Seidl A., Johnson E. (2006) Infant word segmentation revisited: Edge alignment facilitates target extraction. Developmental Science 9(6): 565–573CrossRefGoogle Scholar
- Shi, L., Griffiths, T. L., Feldman, N. H., & Sanborn, A. N. (in press). Exemplar models as a mechanism for performing Bayesian inference. Psychonomic Bulletin & Review.Google Scholar
- Swingley D. (2005) Statistical clustering and contents of the infant vocabulary. Cognitive Psychology 50: 86–132CrossRefGoogle Scholar
- Teh Y., Jordan M., Beal M., Blei D. (2006) Hierarchical Dirichlet processes. Journal of the American Statistical Association 101(476): 1566–1581CrossRefGoogle Scholar
- Tenenbaum J., Griffiths T. (2001) Generalization, similarity, and Bayesian inference. Behavioral and Brain Sciences 24: 629–641Google Scholar
- Tenenbaum J., Griffiths T., Kemp C. (2006) Theory-based models of inductive learning and reasoning. Trends in Cognitive Sciences 10: 309–318CrossRefGoogle Scholar
- Thiessen E., Saffran J. R. (2003) When cues collide: Use of stress and statistical cues to word boundaries by 7- to 9-month-old infants. Developmental Psychology 39: 706–716CrossRefGoogle Scholar
- Xu F., Tenenbaum J. B. (2007) Word learning as Bayesian inference. Psychological Review 114: 245–272CrossRefGoogle Scholar