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Distributional clustering of English words Authors: Fernando Pereira, Naftali Tishby, Lillian Lee Presenter: Marian Olteanu Introduction Method for automatic clustering of words Distribution in particular syntactic contexts Deterministic annealing Find lowest distortion sets of clusters Increasing annealing parameters Clusters subdivide – hierarchical “soft” clustering Clusters Class models Word co-occurrence Introduction Simple tabulation of frequencies Data sparseness Hindle proposed smoothing based on clustering Estimating likelihood of unseen events from the frequencies of “similar” events that have been seen Example: estimating the likelihood of a particular direct object for a verb from the likelihood of that direct object for similar verbs Introduction Hindle’s proposal Words are similar if there is strong statistical evidence that they tend to participate in the same events This paper Factor word association tendencies into associations of words to certain hidden classes and association between classes themselves Derive classes directly from data Introduction Classes Probabilistic concepts or clusters c p(c|w) for each word w Different than classical “hard” Boolean classes Thus, this method is more robust Is not strongly affected by errors in frequency counts Problem in this paper 2 word classes: V and N Relation between a transitive main verb and the head noun of the direct object Problem Raw knowledge: fvn – frequency of occurrence of a particular pair (v,n) in the training corpus Unsmoothed probability - conditional density: pn(v) = This is p(v|n) Problem How to use pn to classify the n?N Methodology Measure of similarity between distributions Kullback-Leibler distance This problem Unsupervised learning – leardn underlying distribution of data Objects have no internal structure, the only info. – statistics about joint appearance (kind of supervised learning) Distributional Clustering Goal – find clusters such that pn(v) is approximated by: Solv
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