Cognition: Differential-geometrical view on neural networks
A neural network taken as a model of a trainable system appears to be nothing but a dynamical system evolving on a tangent bundle with changeable metrics. In other words to learn means to change metrics of a definite manifold.
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1026022699000060 |
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| _version_ | 1832556118764683264 |
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| author | S. A. Buffalov |
| author_facet | S. A. Buffalov |
| author_sort | S. A. Buffalov |
| collection | DOAJ |
| description | A neural network taken as a model of a trainable system appears to be nothing but a dynamical system evolving on a tangent bundle with changeable metrics. In other words to learn means to change metrics of a definite manifold. |
| format | Article |
| id | doaj-art-963244eabd1847b5b6eda360c3040375 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-963244eabd1847b5b6eda360c30403752025-02-03T05:46:21ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1999-01-0131434910.1155/S1026022699000060Cognition: Differential-geometrical view on neural networksS. A. Buffalov0Radio-physical Department, Tomsk State University, Lytkina 24-109, Tomsk 634034, RussiaA neural network taken as a model of a trainable system appears to be nothing but a dynamical system evolving on a tangent bundle with changeable metrics. In other words to learn means to change metrics of a definite manifold.http://dx.doi.org/10.1155/S1026022699000060Neural networkCognitionDynamical systemManifoldMetrics. |
| spellingShingle | S. A. Buffalov Cognition: Differential-geometrical view on neural networks Discrete Dynamics in Nature and Society Neural network Cognition Dynamical system Manifold Metrics. |
| title | Cognition: Differential-geometrical view on neural networks |
| title_full | Cognition: Differential-geometrical view on neural networks |
| title_fullStr | Cognition: Differential-geometrical view on neural networks |
| title_full_unstemmed | Cognition: Differential-geometrical view on neural networks |
| title_short | Cognition: Differential-geometrical view on neural networks |
| title_sort | cognition differential geometrical view on neural networks |
| topic | Neural network Cognition Dynamical system Manifold Metrics. |
| url | http://dx.doi.org/10.1155/S1026022699000060 |
| work_keys_str_mv | AT sabuffalov cognitiondifferentialgeometricalviewonneuralnetworks |