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Modified Levenberg Marquardt Algorithm for Inverse Problems

2010
The Levenberg Marquardt (LM) algorithm is a popular nonlinear least squares optimization technique for solving data matching problems. In this method, the damping parameter plays a vital role in determining the convergence of the system. This damping parameter is calculated arbitrarily in the classical LM, causing it to converge prematurely when used ...
Muthu Naveen   +3 more
openaire   +1 more source

Levenberg-Marquardt method for ANFIS learning

Proceedings of North American Fuzzy Information Processing, 2002
Presents the results of applying the Levenberg-Marquardt method (K. Levenberg, 1944, and D.W. Marquardt, 1963), which is a popular nonlinear least-squares method, to the ANFIS (Adaptive Neuro-Fuzzy Inference System) architecture proposed by Jang (IEEE Trans. on Systems, Man and Cybernctics, vol. 23, no. 3, pp 665-685, May 1993).
null Jyh-Shing Roger Jang, E. Mizutani
openaire   +1 more source

On the Rate of Convergence of the Levenberg-Marquardt Method

2001
We consider a rate of convergence of the Levenberg-Marquardt method (LMM) for solving a system of nonlinear equations F(x) = 0, where F is a mapping from Rn into Rm. It is well-known that LMM has a quadratic rate of convergence when m = n, the Jacobian matrix of F is nonsingular at a solution x and an initial point is chosen sufficiently close to x. In
N. Yamashita, M. Fukushima
openaire   +1 more source

A higher-order Levenberg–Marquardt method for nonlinear equations

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On the convergence properties of the Levenberg–Marquardt method

Optimization, 2003
In this article, a new method is presented to update the parameter in the Levenberg–Marquardt Method (LMM) for solving nonlinear equation system, i.e., (namely, there exist positive constants c 2 > 0, c 3 > 0 such that ). The existing methods in [H. Dan, N. Yamashita and M. Fukushima (2001).
openaire   +1 more source

Stability Analysis of the Modified Levenberg–Marquardt Algorithm for the Artificial Neural Network Training

IEEE Transactions on Neural Networks and Learning Systems, 2021
Jose de Jesus Rubio
exaly  

On Speeding up the Levenberg-Marquardt Learning Algorithm

2023
Jaroslaw Bilski   +2 more
openaire   +1 more source

A Shamanskii-like self-adaptive Levenberg–Marquardt method for nonlinear equations

Computers and Mathematics With Applications, 2019
Haohua Huang, Chang-Feng
exaly  

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