S. F. Galán and F. J. Díez. Networks of probabilistic events in discrete time.. International Journal of Approximate Reasoning, 30 (2002) 181-202.
22 pages. PDF (229 KB), zip version (200 KB), BibTeX entry.
The usual methods of applying Bayesian networks to the modeling of temporal processes, such as Dean and Kanazawa's dynamic Bayesian networks (DBNs), consist in discretizing time and creating an instance of each random variable for each point in time. We present a new approach called networks of probabilistic events in discrete time (NPEDT), for temporal reasoning with uncertainty in domains involving probabilistic events. Under this approach, time is discretized and each value of a variable represents the instant at which a certain event may occur. This is the main difference with respect to DBNs, in which the value of a variable Vi represents the state of a real-world property at time ti. Therefore, our method is more appropriate for temporal fault diagnosis, because only one variable is necessary for representing the occurrence of a fault and, as a consequence, the networks involved are much simpler than those obtained by using DBNs. In contrast, DBNs are more appropriate for monitoring tasks, since they explicitly represent the state of the system at each moment. We also introduce in this paper several types of temporal noisy gates, which facilitate the acquisition and representation of uncertain temporal knowledge. They constitute a generalization of traditional canonical models of multicausal interactions, such as the noisy OR-gate, which have been usually applied to static domains. We illustrate the approach with the example domain of modeling the evolution of traffic jams produced on the outskirts of a city, after the occurrence of an event that obliges traffic to stop indefinitely.
- S. F. Galán, F. Aguado, F. J. Díez and J. Mira. NasoNet. Modelling the spread of nasopharyngeal cancer with temporal Bayesian networks. Artificial Intelligence in Medicine, 25 (2002) 247-254.