This paper presents a new efficient method for uncertainty propagation in discrete Bayesian networks in symbolic, as opposed to numeric, form, when considering some of the probabilities of the Bayesian network as parameters. The algebraic structure of the conditional probabilities of any set of node
A symbolic interpretation for back-propagation networks
β Scribed by P. Magrez; A. Rousseau
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 974 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0884-8173
No coin nor oath required. For personal study only.
β¦ Synopsis
Two main problems for the neural network (NN) paradigm are discussed: the output value interpretation and the symbolic content of the connection matrix. In this article, we construct a solution for a very common architecture of pattern associators: the backpropagation networks. First, we show how Zadeh's possibility theory brings a formal structure to the output interpretation. Properties and practical applications of this theory are developed. Second, a symbolic interpretation for the connection matrix is proposed by designing of an algorithm. By accepting the NN training examples as input this algorithm produces a set of implication rules. These rules accurately model the NN behavior. Moreover, they allow to understand it, especially in the cases of generalization or interference.
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