A note on the lack of convergence for the generalized median classifier

A note on the lack of convergence for the generalized median classifier – Learning Bayesian networks (BNs) in a Bayesian context is a challenging problem with significant difficulty due to the high computational overhead. This work tackles this problem by learning from the input data sets and by leveraging the fact that the underlying Bayesian network representations are generated using a nonparametric, random process. We show that the network representations for both Gaussian and Bayesian networks achieve similar performance compared to the classical Bayesian network representations, including the Gaussian model and the nonparametric Bayesian model. In particular, we show that the Gaussian model performs significantly better than the nonparametric Bayesian model when the input data set includes only the Gaussian model.

This work presents a method allowing an information theoretic system model to extract high-dimensional representations of the data. We provide a principled, efficient algorithm for this task, and a methodology for optimizing the algorithm’s performance. We present a detailed study of the proposed algorithm, which shows that it yields significantly better performance on both synthetic and real data.

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A note on the lack of convergence for the generalized median classifier

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