We introduce tiered clustering, a mixture model capable of accounting for varying degrees of shared (context-independent) feature structure, and demonstrate its applicability to inferring distributed representations of word meaning. Common tasks in lexical semantics such as word relatedness or selectional preference can benefit from modeling such structure: Polysemous word usage is often governed by some common background metaphoric usage (e.g. the senses of line or run), and likewise modeling the selectional preference of verbs relies on identifying commonalities shared by their typical arguments. Tiered clustering can also be viewed as a form of soft feature selection, where features that do not contribute meaningfully to the clustering can be excluded. We demonstrate the applicability of tiered clustering, highlighting particular cases where modeling shared structure is beneficial and where it can be detrimental.
ML ID: 252
In order to respond to increasing demand for natural language interfaces—and provide meaningful insight into user query intent—fast, scalable lexical semantic models with flexible representations are needed. Human concept organization is a rich epiphenomenon that has yet to be accounted for by a single coherent psychological framework: Concept generalization is captured by a mixture of prototype and exemplar models, and local taxonomic information is available through multiple overlapping organizational systems. Previous work in computational linguistics on extracting lexical semantic information from the Web does not provide adequate representational flexibility and hence fails to capture the full extent of human conceptual knowledge. In this proposal I will outline a family of probabilistic models capable of accounting for the rich organizational structure found in human language that can predict contextual variation, selectional preference and feature-saliency norms to a much higher degree of accuracy than previous approaches. These models account for cross-cutting structure of concept organization—i.e. the notion that humans make use of different categorization systems for different kinds of generalization tasks—and can be applied to Web-scale corpora. Using these models, natural language systems will be able to infer a more comprehensive semantic relations, in turn improving question answering, text classification, machine translation, and information retrieval.
ML ID: 249
We introduce the Spherical Admixture Model (SAM), a Bayesian topic model for arbitrary L2 normalized data. SAM maintains the same hierarchical structure as Latent Dirichlet Allocation (LDA), but models documents as points on a high-dimensional spherical manifold, allowing a natural likelihood parameterization in terms of cosine distance. Furthermore, SAM can model word absence/presence at the document level, and unlike previous models can assign explicit negative weight to topic terms. Performance is evaluated empirically, both through human ratings of topic quality and through diverse classification tasks from natural language processing and computer vision. In these experiments, SAM consistently outperforms existing models.
ML ID: 248
We introduce the Spherical Admixture Model (SAM), a Bayesian topic model over arbitrary L2 normalized data. SAM models documents as points on a high- dimensional spherical manifold, and is capable of representing negative word- topic correlations and word presence/absence, unlike models with multinomial document likelihood, such as LDA. In this paper, we evaluate SAM as a topic browser, focusing on its ability to model “negative” topic features, and also as a dimensionality reduction method, using topic proportions as features for difficult classification tasks in natural language processing and computer vision.
ML ID: 237
While the vast majority of clustering algorithms are partitional, many real world datasets have inherently overlapping clusters. The recent explosion of analysis on biological datasets, which are frequently overlapping, has led to new clustering models that allow hard assignment of data points to multiple clusters. One particularly appealing model was proposed by Segal et al. in the context of probabilistic relational models (PRMs) applied to the analysis of gene microarray data. In this paper, we start with the basic approach of Segal et al. and provide an alternative interpretation of the model as a generalization of mixture models, which makes it easily interpretable. While the original model maximized likelihood over constant variance Gaussians, we generalize it to work with any regular exponential family distribution, and corresponding Bregman divergences, thereby making the model applicable for a wide variety of clustering distance functions, e.g., KL-divergence, Itakura-Saito distance, I-divergence. The general model is applicable to several domains, including high-dimensional sparse domains, such as text and recommender systems. We additionally offer several algorithmic modifications that improve both the performance and applicability of the model. We demonstrate the effectiveness of our algorithm through experiments on synthetic data as well as subsets of 20-Newsgroups and EachMovie datasets.
ML ID: 163