A new algorithm for learning in piecewise-linear neural networks
| Autor: | Amir F. Atiya, Emad Gad, Ayman El-Dessouki, Samir I. Shaheen |
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| Rok vydání: | 2000 |
| Předmět: |
Artificial neural network
Cognitive Neuroscience Population-based incremental learning Backpropagation Piecewise linear function Error function Function approximation Artificial Intelligence Ramer–Douglas–Peucker algorithm Conjugate gradient method Linear Models Computer Simulation Neural Networks Computer Algorithm Algorithms Mathematics |
| Zdroj: | Neural networks : the official journal of the International Neural Network Society. 13(4-5) |
| ISSN: | 0893-6080 |
| Popis: | Piecewise-linear (PWL) neural networks are widely known for their amenability to digital implementation. This paper presents a new algorithm for learning in PWL networks consisting of a single hidden layer. The approach adopted is based upon constructing a continuous PWL error function and developing an efficient algorithm to minimize it. The algorithm consists of two basic stages in searching the weight space. The first stage of the optimization algorithm is used to locate a point in the weight space representing the intersection of N linearly independent hyperplanes, with N being the number of weights in the network. The second stage is then called to use this point as a starting point in order to continue searching by moving along the single-dimension boundaries between the different linear regions of the error function, hopping from one point (representing the intersection of N hyperplanes) to another. The proposed algorithm exhibits significantly accelerated convergence, as compared to standard algorithms such as back-propagation and improved versions of it, such as the conjugate gradient algorithm. In addition, it has the distinct advantage that there are no parameters to adjust, and therefore there is no time-consuming parameters tuning step. The new algorithm is expected to find applications in function approximation, time series prediction and binary classification problems. |
| Databáze: | OpenAIRE |
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