TY - JOUR AU1 - Ng, K. AU2 - Lloyd, J. AU3 - Uther, W. AB - This paper provides a study of probabilistic modelling, inference and learning in a logic-based setting. We show how probability densities, being functions, can be represented and reasoned with naturally and directly in higher-order logic, an expressive formalism not unlike the (informal) everyday language of mathematics. We give efficient inference algorithms and illustrate the general approach with a diverse collection of applications. Some learning issues are also considered. TI - Probabilistic modelling, inference and learning using logical theories JF - Annals of Mathematics and Artificial Intelligence DO - 10.1007/s10472-009-9136-7 DA - 2009-04-17 UR - https://www.deepdyve.com/lp/springer-journals/probabilistic-modelling-inference-and-learning-using-logical-theories-0MUoIJ4tY0 SP - 159 EP - 205 VL - 54 IS - 3 DP - DeepDyve ER -