Context models on sequences of covers

Details Context models on sequences of covers Context models on sequences of covers

2010-05-13

arxiv.org/abs/1005.2263v2

Statistics

Machine Learning

14 pages, 2 figures

Scientific paper

We present a class of models that, via a simple construction, enables exact, incremental, non-parametric, polynomial-time, Bayesian inference of conditional measures. The approach relies upon creating a sequence of covers on the conditioning variable and maintaining a different model for each set within a cover. Inference remains tractable by specifying the probabilistic model in terms of a random walk within the sequence of covers. We demonstrate the approach on problems of conditional density estimation, which, to our knowledge is the first closed-form, non-parametric Bayesian approach to this problem.

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