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79
Hierarchical Dirichlet processes
 Journal of the American Statistical Association
, 2004
"... program. The authors wish to acknowledge helpful discussions with Lancelot James and Jim Pitman and the referees for useful comments. 1 We consider problems involving groups of data, where each observation within a group is a draw from a mixture model, and where it is desirable to share mixture comp ..."
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Cited by 563 (57 self)
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program. The authors wish to acknowledge helpful discussions with Lancelot James and Jim Pitman and the referees for useful comments. 1 We consider problems involving groups of data, where each observation within a group is a draw from a mixture model, and where it is desirable to share mixture components between groups. We assume that the number of mixture components is unknown a priori and is to be inferred from the data. In this setting it is natural to consider sets of Dirichlet processes, one for each group, where the wellknown clustering property of the Dirichlet process provides a nonparametric prior for the number of mixture components within each group. Given our desire to tie the mixture models in the various groups, we consider a hierarchical model, specifically one in which the base measure for the child Dirichlet processes is itself distributed according to a Dirichlet process. Such a base measure being discrete, the child Dirichlet processes necessarily share atoms. Thus, as desired, the mixture models in the different groups necessarily share mixture components. We discuss representations of hierarchical Dirichlet processes in terms of
A hierarchical Bayesian language model based on Pitman–Yor processes
 In Coling/ACL, 2006. 9
, 2006
"... We propose a new hierarchical Bayesian ngram model of natural languages. Our model makes use of a generalization of the commonly used Dirichlet distributions called PitmanYor processes which produce powerlaw distributions more closely resembling those in natural languages. We show that an approxi ..."
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Cited by 85 (8 self)
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We propose a new hierarchical Bayesian ngram model of natural languages. Our model makes use of a generalization of the commonly used Dirichlet distributions called PitmanYor processes which produce powerlaw distributions more closely resembling those in natural languages. We show that an approximation to the hierarchical PitmanYor language model recovers the exact formulation of interpolated KneserNey, one of the best smoothing methods for ngram language models. Experiments verify that our model gives cross entropy results superior to interpolated KneserNey and comparable to modified KneserNey. 1
The nested chinese restaurant process and bayesian inference of topic hierarchies
, 2007
"... We present the nested Chinese restaurant process (nCRP), a stochastic process which assigns probability distributions to infinitelydeep, infinitelybranching trees. We show how this stochastic process can be used as a prior distribution in a Bayesian nonparametric model of document collections. Spe ..."
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Cited by 57 (9 self)
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We present the nested Chinese restaurant process (nCRP), a stochastic process which assigns probability distributions to infinitelydeep, infinitelybranching trees. We show how this stochastic process can be used as a prior distribution in a Bayesian nonparametric model of document collections. Specifically, we present an application to information retrieval in which documents are modeled as paths down a random tree, and the preferential attachment dynamics of the nCRP leads to clustering of documents according to sharing of topics at multiple levels of abstraction. Given a corpus of documents, a posterior inference algorithm finds an approximation to a posterior distribution over trees, topics and allocations of words to levels of the tree. We demonstrate this algorithm on collections of scientific abstracts from several journals. This model exemplifies a recent trend in statistical machine learning—the use of Bayesian nonparametric methods to infer distributions on flexible data structures.
Contextual dependencies in unsupervised word segmentation
 In Proceedings of the 21st International Conference on Computational Linguistics and 44th Annual Meeting of the Association for Computational Linguistics
, 2006
"... Developing better methods for segmenting continuous text into words is important for improving the processing of Asian languages, and may shed light on how humans learn to segment speech. We propose two new Bayesian word segmentation methods that assume unigram and bigram models of word dependencies ..."
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Cited by 57 (13 self)
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Developing better methods for segmenting continuous text into words is important for improving the processing of Asian languages, and may shed light on how humans learn to segment speech. We propose two new Bayesian word segmentation methods that assume unigram and bigram models of word dependencies respectively. The bigram model greatly outperforms the unigram model (and previous probabilistic models), demonstrating the importance of such dependencies for word segmentation. We also show that previous probabilistic models rely crucially on suboptimal search procedures. 1
A bayesian framework for word segmentation: Exploring the effects of context
 In 46th Annual Meeting of the ACL
, 2009
"... Since the experiments of Saffran et al. (1996a), there has been a great deal of interest in the question of how statistical regularities in the speech stream might be used by infants to begin to identify individual words. In this work, we use computational modeling to explore the effects of differen ..."
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Cited by 52 (12 self)
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Since the experiments of Saffran et al. (1996a), there has been a great deal of interest in the question of how statistical regularities in the speech stream might be used by infants to begin to identify individual words. In this work, we use computational modeling to explore the effects of different assumptions the learner might make regarding the nature of words – in particular, how these assumptions affect the kinds of words that are segmented from a corpus of transcribed childdirected speech. We develop several models within a Bayesian ideal observer framework, and use them to examine the consequences of assuming either that words are independent units, or units that help to predict other units. We show through empirical and theoretical results that the assumption of independence causes the learner to undersegment the corpus, with many two and threeword sequences (e.g. what’s that, do you, in the house) misidentified as individual words. In contrast, when the learner assumes that words are predictive, the resulting segmentation is far more accurate. These results indicate that taking context into account is important for a statistical word segmentation strategy to be successful, and raise the possibility that even young infants may be able to exploit more subtle statistical patterns than have usually been considered. 1
Stickbreaking construction for the Indian buffet process
 In Proceedings of the International Conference on Artificial Intelligence and Statistics
"... The Indian buffet process (IBP) is a Bayesian nonparametric distribution whereby objects are modelled using an unbounded number of latent features. In this paper we derive a stickbreaking representation for the IBP. Based on this new representation, we develop slice samplers for the IBP that are ef ..."
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Cited by 45 (8 self)
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The Indian buffet process (IBP) is a Bayesian nonparametric distribution whereby objects are modelled using an unbounded number of latent features. In this paper we derive a stickbreaking representation for the IBP. Based on this new representation, we develop slice samplers for the IBP that are efficient, easy to implement and are more generally applicable than the currently available Gibbs sampler. This representation, along with the work of Thibaux and Jordan [17], also illuminates interesting theoretical connections between the IBP, Chinese restaurant processes, Beta processes and Dirichlet processes. 1
Clustering documents with an exponentialfamily approximation of the dirichlet compound multinomial distribution
 In ICML
, 2006
"... The Dirichlet compound multinomial (DCM) distribution, also called the multivariate Polya distribution, is a model for text documents that takes into account burstiness: the fact that if a word occurs once in a document, it is likely to occur repeatedly. We derive a new family of distributions that ..."
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Cited by 35 (2 self)
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The Dirichlet compound multinomial (DCM) distribution, also called the multivariate Polya distribution, is a model for text documents that takes into account burstiness: the fact that if a word occurs once in a document, it is likely to occur repeatedly. We derive a new family of distributions that are approximations to DCM distributions and constitute an exponential family, unlike DCM distributions. We use these socalled EDCM distributions to obtain insights into the properties of DCM distributions, and then derive an algorithm for EDCM maximumlikelihood training that is many times faster than the corresponding method for DCM distributions. Next, we investigate expectationmaximization with EDCM components and deterministic annealing as a new clustering algorithm for documents. Experiments show that the new algorithm is competitive with the best methods in the literature, and superior from the point of view of finding models with low perplexity. 1.
Poverty of the stimulus? A rational approach
 In the Proceedings of the 2006 Cognitive Science conference. 2006
, 2006
"... The Poverty of the Stimulus (PoS) argument holds that children do not receive enough evidence to infer the existence of core aspects of language, such as the dependence of linguistic rules on hierarchical phrase structure. We reevaluate one version of this argument with a Bayesian model of grammar i ..."
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Cited by 34 (9 self)
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The Poverty of the Stimulus (PoS) argument holds that children do not receive enough evidence to infer the existence of core aspects of language, such as the dependence of linguistic rules on hierarchical phrase structure. We reevaluate one version of this argument with a Bayesian model of grammar induction, and show that a rational learner without any initial languagespecific biases could learn this dependency given typical childdirected input. This choice enables the learner to master aspects of syntax, such as the auxiliary fronting rule in interrogative formation, even without having heard directly relevant data (e.g., interrogatives containing an auxiliary in a relative clause in the subject NP).