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BACTAC - Bijral

Generative Models for Spectral Clustering on a Hypershere
Avleen Bijral Jr.
Master's Candidate
11/7/2006
3:30pm-4:30pm

Many machine learning applications involve data, that can be analyzed as unit vectors on a d-dimensional Hypersphere, or equivalently are directional in nature. Spectral clustering techniques generate embeddings that constitute an example of directional data and can result in different topologies on a Hypersphere (depending on the original topology). Other examples of directional data includes text and some sub-domains of bioinformatics. For example the Watson and von Mises Fisher distributions for directional data presents a tractable form. In this talk I will be talking about generative models for these distributions and an EM algorithm that generates posterior cluster probabilities for points.

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