On the relations between discriminant analysis and multilayer perceptrons
โ Scribed by P. Gallinari; S. Thiria; F. Badran; F. Fogelman-Soulie
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 966 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0893-6080
No coin nor oath required. For personal study only.
โฆ Synopsis
We study the relations between discriminant analysis" and multilayer perceptrons used fi~r classification tasks. We first consider linear networks and prove the formal equivalence between the two techniques in this case. We then present a set of experiments on problems with increasing degree of nonlinearity. This allows to study the extension of this result to nonlinear nets and to investigate data transformations in the suceessive layers o[ these nets. Finally, we show evidence o( generic properties of MLPs classifiers.
๐ SIMILAR VOLUMES
In classification problems the most commonly used neural network is probably the multilayer perceptron network (MLPN). The probabilistic neural network (PNN) is a possible alternative to the MLPN. The PNN is based on the Bayesian approach and a non-parametric estimation of the probability density fu
## On the relations between continuous and nonatomic measures By WOLFGANG ADAMSKI of Munchen (Eingegangen am 21. 5. 1979) It is the purpose of this paper to study the relations between continuous and nonatomic (finite, nonnegative, countably additive) measures, where a measure defined on a o-alge