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Improved Computation for Levenberg–Marquardt Training

Wilamowski, Bogdan M, Hao Yu·2010·IEEE Transactions on Neural Networks

Abstract

The improved computation presented in this paper is aimed to optimize the neural networks learning process using Levenberg-Marquardt (LM) algorithm. Quasi-Hessian matrix and gradient vector are computed directly, without Jacobian matrix multiplication and storage. The memory limitation problem for LM training is solved. Considering the symmetry of quasi-Hessian matrix, only elements in its upper/lower triangular array need to be calculated. Therefore, training speed is improved significantly, not only because of the smaller array stored in memory, but also the reduced operations in quasi-Hessian matrix calculation. The improved memory and time efficiencies are especially true for large sized patterns training.

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Metadata

Authors
Wilamowski, B. M., & Yu, H.
Venue
IEEE Transactions on Neural Networks
Published
2010-06
Volume
21
Issue
6
Pages
930-937
ISSN
  • 1045-9227 (ISSN-L)
  • 1941-0093
OpenAlex
W2133764509
Cited by
622
References
17
FWCI
26.53
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Improved Computation for Levenberg–Marquardt Training. https://app.cochat.ai/papers/10.1109/tnn.2010.2045657
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Wilamowski, B. M., & Yu, H. (2010). Improved Computation for Levenberg–Marquardt Training. IEEE Transactions on Neural Networks. https://doi.org/10.1109/tnn.2010.2045657

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.