A model-based neural network is developed for spectrum estimation. Its architecture and learning mechanism are founded on the Einsteinian interpretation of the spectrum as a probability distribution of photons. By considering a spectrum as an ensemble of photons, we derive the neural learning mechan
A new neural network for response estimation
โ Scribed by A. Kallassy
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 587 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0045-7949
No coin nor oath required. For personal study only.
โฆ Synopsis
This paper deals with the problem of response approximation of mechanical structures by using a neural network. The conventional network used for this purpose is the back propagation neural network which remains empirical. On the other hand, the work of the new architecture of neural networks consists mainly of designing a new architecture of neural networks following a constructive mathematical reasoning. The model borrows from the back propagation architecture minimally, using the sigmoid activation function as a basic function to construct the desired approximation. This new architecture automatically determines the number of neurons needed to reach the precision specified by the user in an adaptive manner during network training. The application of this approach to multiple analytical and mechanical examples proves its effectiveness. Furthermore, different comparisons with the conventional network show that the new neural network outdoes it in terms of precision and training time.
๐ SIMILAR VOLUMES
Techniques using FFT have been used widely in the past for bispectrum estimation. However, when FFT was used for bispectrum estimation of data with many points, there was a problem of escalated level of calculation, making applications to real problems requiring real-time processing such as image pr