@inproceedings{2000553, author={Elias Gyftodimos and Peter A. Flach}, title={Combining Bayesian Networks with Higher-Order Data Representations}, booktitle={Proceedings of the 6th International Symposium on Intelligent Data Analysis (IDA'06)}, ISBN={3-540-28795-7}, publisher={Springer-Verlag}, pages={145--157}, month={September}, year={2005}, abstract={This paper introduces Higher-Order Bayesian Networks, a probabilistic reasoning formalism which combines the efficient reasoning mechanisms of Bayesian Networks with the expressive power of higher-order logics. We discuss how the proposed graphical model is used in order to define a probability distribution semantics over particular families of higher-order terms. We give an example of the application of our method on the Mutagenesis domain, a popular dataset from the Inductive Logic Programming community, showing how we employ probabilistic inference and model learning for the construction of a probabilistic classifier based on Higher-Order Bayesian Networks. }, abstract-url={http://www.cs.bris.ac.uk/Publications/pub_master.jsp?id=2000553}, url={http://www.cs.bris.ac.uk/Publications/Papers/2000553.pdf}, keyword={Machine Learning}, pubtype={102} }