### Abstract

This paper proposes the application of neural networks with multiplication units to parity-N problem, mirror symmetry problem and a function approximation problem. It is clear that, higher-order terms in neural networks, such as sigma-pi unit, can improve the computational power of neural networks considerably. But how the real neurons do this is still unclear. We have used one multiplication unit to construct full higher-order terms of all the inputs, which was proved very efficient for parity-N problem. Our earlier work on applying multiplication units to other problems suffered from the drawback of gradient-based algorithm, such as backpropagation algorithms, for being easy to stuck at local minima due to the complexity of the network. In order to overcome this problem we consider a novel random search, RasID, for the training of neural networks with multiplication units, which does an intensified search where it is easy to find good solutions locally and a diversified search to escape from local minima under a pure random search scheme. The method shows its advantage on the training of neural networks with multiplication units.

Original language | English |
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Title of host publication | ICONIP 2002 - Proceedings of the 9th International Conference on Neural Information Processing |

Subtitle of host publication | Computational Intelligence for the E-Age |

Editors | Jagath C. Rajapakse, Xin Yao, Lipo Wang, Kunihiko Fukushima, Soo-Young Lee |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 75-79 |

Number of pages | 5 |

ISBN (Electronic) | 9810475241, 9789810475246 |

DOIs | |

Publication status | Published - Jan 1 2002 |

Event | 9th International Conference on Neural Information Processing, ICONIP 2002 - Singapore, Singapore Duration: Nov 18 2002 → Nov 22 2002 |

### Publication series

Name | ICONIP 2002 - Proceedings of the 9th International Conference on Neural Information Processing: Computational Intelligence for the E-Age |
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Volume | 1 |

### Other

Other | 9th International Conference on Neural Information Processing, ICONIP 2002 |
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Country | Singapore |

City | Singapore |

Period | 11/18/02 → 11/22/02 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Computer Networks and Communications
- Information Systems
- Signal Processing

### Cite this

*ICONIP 2002 - Proceedings of the 9th International Conference on Neural Information Processing: Computational Intelligence for the E-Age*(pp. 75-79). [1202134] (ICONIP 2002 - Proceedings of the 9th International Conference on Neural Information Processing: Computational Intelligence for the E-Age; Vol. 1). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICONIP.2002.1202134