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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Yue-Xian Hou Cong-Jin Yu |
| Copyright Year | 2003 |
| Description | Author affiliation: Dept. of Comput. Sci. & Technol., Tianjin Univ., China (Yue-Xian Hou; Cong-Jin Yu) |
| Abstract | It is proved that MLP's with the training algorithm of backpropagation is a universal mapper, which can, in theory, approximate any continuous decision region arbitrarily well. Yet the convergence of backpropagation algorithms is still an open problem. It is well known that the time cost of backpropagation training often exhibits a remarkable variability, which seems to be of the generic character of heavy-tailed probability distribution. It has been demonstrated that, in most cases, rapid restart (RR) method can prominently suppress the heavy-tailed nature of training instances and improve efficiency of computation. However, it is usually time-consuming to verify whether a training instance is heavy-tailed. Moreover, if the heavy-tailed distribution is confirmed and the RR method is relevant, an optimal RR threshold should be chosen to facilitate the RR mechanism. In this paper, an approximate approach is proposed to quickly check whether a training instance is heavy-tailed or not by calculating the maximal Lyapunov exponent of a few generic running trace. Then a statistical estimator is deduced to determine the optimal RR threshold. The practically experimental results are consistent with the theoretical consideration perfectly. |
| Sponsorship | IEEE Systems Man and Cybernetics Tech. Committee on Cybernetics, Hebei Univ. Northwestern Polytechnical Univ |
| Starting Page | 1370 |
| Ending Page | 1373 |
| File Size | 255843 |
| Page Count | 4 |
| File Format | |
| ISBN | 0780381319 |
| DOI | 10.1109/ICMLC.2003.1259705 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2003-11-05 |
| Publisher Place | China |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Robustness Multiprotocol label switching Costs Backpropagation algorithms Search methods Fractals Computer science Probability distribution Convergence Heuristic algorithms |
| Content Type | Text |
| Resource Type | Article |
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