Bayesian belief networks provide a natural, efficient method for representing probabilistic dependencies among a set of variables. For these reasons, numerous researchers are exploring the use of belief networks as a knowledge representation m artificial intelligence. Algorithms have been developed
On the complexity of inference about probabilistic relational models
โ Scribed by Manfred Jaeger
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 120 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0004-3702
No coin nor oath required. For personal study only.
โฆ Synopsis
We investigate the complexity of probabilistic inference from knowledge bases that encode probability distributions on finite domain relational structures. Our interest here lies in the complexity in terms of the domain under consideration in a specific application instance. We obtain the result that assuming NETIME = ETIME this problem is not polynomial for reasonably expressive representation systems. The main consequence of this result is that it is unlikely to find inference techniques with a better worst-case behavior than the commonly employed strategy of constructing standard Bayesian networks over ground atoms (knowledge based model construction).
๐ SIMILAR VOLUMES
We identify various situations in probabilistic intelligent systems in which conditionals (rules) as mathematical entities as well as their conditional logic operations are needed. In discussing Bayesian updating procedure and belief function construction, we provide a new method for modeling if. .