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Nonlinear Markov Networks for Continuous Variables

 Reimar Hofmann and Volker Tresp
  
 

Abstract:
In this paper we address the problem of learning the structure in nonlinear Markov networks with continuous variables. Markov networks are well suited to model relationships which do not exhibit a natural causal ordering. We represent the quantitative relationships between variables using neural networks as models for conditional probability densities. This approach is well suited for inference by Gibbs sampling. Using a financial and a sociological data set we show that interesting structures can be found using our approach.

 
 


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