The Levenberg–Marquardt method: an overview of modern convergence theories and more

A Fischer, AF Izmailov, MV Solodov - Computational Optimization and …, 2024 - Springer
Abstract The Levenberg–Marquardt method is a fundamental regularization technique for
the Newton method applied to nonlinear equations, possibly constrained, and possibly with …

Ensemble learning for load forecasting

L Wang, S Mao, BM Wilamowski… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
In this paper, an ensemble learning approach is proposed for load forecasting in urban
power systems. The proposed framework consists of two levels of learners that integrate …

A derivative-free algorithm for least-squares minimization

H Zhang, AR Conn, K Scheinberg - SIAM Journal on Optimization, 2010 - SIAM
We develop a framework for a class of derivative-free algorithms for the least-squares
minimization problem. These algorithms are designed to take advantage of the problem …

Nonlinear time‐series modeling of unconfined groundwater head

TJ Peterson, AW Western - Water Resources Research, 2014 - Wiley Online Library
This paper presents a nonlinear transfer function noise model for time‐series modeling of
unconfined groundwater hydrographs. The motivation for its development was that existing …

IC-FNN: a novel fuzzy neural network with interpretable, intuitive, and correlated-contours fuzzy rules for function approximation

MM Ebadzadeh, A Salimi-Badr - IEEE Transactions on Fuzzy …, 2017 - ieeexplore.ieee.org
In this paper, a novel fuzzy neural network with intuitive, interpretable, and correlated-
contours fuzzy rules (IC-FNN), for function approximation, is presented. The surfaces of …

Comparative analyses of covariance matrix adaptation and iterative ensemble smoother on high-dimensional inverse problems in high-resolution groundwater …

S Yang, FTC Tsai, P Bacopoulos, CE Kees - Journal of Hydrology, 2023 - Elsevier
Parameter estimation is an inverse problem which is crucial to reliable groundwater model
predictions and management. Numerous techniques have been developed to address this …

A note on the Levenberg–Marquardt parameter

J Fan, J Pan - Applied Mathematics and Computation, 2009 - Elsevier
In [C. Ma, L. Jiang, Some research on Levenberg–Marquardt method for the nonlinear
equations, Appl. Math. Comput. 184 (2007) 1032–1040], the LM parameter at the kth …

[HTML][HTML] A modified two steps Levenberg–Marquardt method for nonlinear equations

K Amini, F Rostami - Journal of Computational and Applied Mathematics, 2015 - Elsevier
Abstract The modified Levenberg–Marquardt (MLM) method to solve nonlinear equations
was introduced by Fan (2012). This method uses an addition of the Levenberg–Marquardt …

A Comparative Analysis of Remote Sensing Estimation of Aboveground Biomass in Boreal Forests Using Machine Learning Modeling and Environmental Data.

J Song, X Liu, S Adingo, Y Guo… - Sustainability (2071 …, 2024 - search.ebscohost.com
It is crucial to have precise and current maps of aboveground biomass (AGB) in boreal
forests to accurately track global carbon levels and develop effective plans for addressing …

Accelerating the modified Levenberg-Marquardt method for nonlinear equations

J Fan - Mathematics of Computation, 2014 - ams.org
In this paper we propose an accelerated version of the modified Levenberg-Marquardt
method for nonlinear equations (see **yan Fan, Mathematics of Computation 81 (2012), no …