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Whole learning algorithm for feedforward neural network by Moore-Penrose Generalized Inverse
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- SATOH Kayo
- 東京大学生産技術研究所
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- YOSHIKAWA Nobuhiro
- 東京大学生産技術研究所
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- YANG Won-Jik
- 東京大学大学院工学系研究科建築学専攻
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- NAKANO Yoshiaki
- 東京大学生産技術研究所
Bibliographic Information
- Other Title
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- ムーア・ペンローズ一般逆行列を用いたニューラルネットワークの一括学習アルゴリズム
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Description
A new learning algorithm named whole learning algorithm is proposed for the feedforward neural network. Strictly speaking, the learning of the feedforward neural network is a kind of multi-objective optimization problem to minimize the errors of outputs for all the learning data sets with respect to the amount of weight modification. All the learning data sets are simultaneously taken into account to constitute the governing equation of the weight modification, which is formulated as linear simultaneous equations with rectangular matrix of coefficients in the proposed algorithm. The solution of the equation is determined by means of the Moore-Penrose generalized inverse to deal with the rectangular matrix. The efficiency of the proposed algorithm is demonstrated through the problem to learn the nolinear behavior described by the Ramberg-Osgood model. The applicability of the proposed algorithm is investigated in problem to learn the earthquake response of RC members.
Journal
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- Transactions of the Japan Society for Computational Engineering and Science
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Transactions of the Japan Society for Computational Engineering and Science 1999 (0), 19990025-19990025, 1999
JAPAN SOCIETY FOR COMPUTATIONAL ENGINEERING AND SCIENCE
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Keywords
Details 詳細情報について
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- CRID
- 1390288469025522560
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- NII Article ID
- 130008056187
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- ISSN
- 13478826
- 13449443
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- Text Lang
- ja
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- Data Source
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- JaLC
- CiNii Articles
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- Abstract License Flag
- Disallowed