[HTML][HTML] Towards improved drought prediction in the Mediterranean region–modeling approaches and future directions

B Zellou, N El Moçayd… - Natural Hazards and Earth …, 2023 - nhess.copernicus.org
There is a scientific consensus that the Mediterranean region (MedR) is warming and as the
temperature continues to rise, droughts and heat waves are becoming more frequent …

Scalable subspace methods for derivative-free nonlinear least-squares optimization

C Cartis, L Roberts - Mathematical Programming, 2023 - Springer
We introduce a general framework for large-scale model-based derivative-free optimization
based on iterative minimization within random subspaces. We present a probabilistic worst …

Convergence and complexity analysis of a Levenberg–Marquardt algorithm for inverse problems

EH Bergou, Y Diouane, V Kungurtsev - Journal of Optimization Theory and …, 2020 - Springer
Abstract The Levenberg–Marquardt algorithm is one of the most popular algorithms for
finding the solution of nonlinear least squares problems. Across different modified variations …

A Levenberg–Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients

S Bellavia, S Gratton, E Riccietti - Numerische Mathematik, 2018 - Springer
In this paper we consider large scale nonlinear least-squares problems for which function
and gradient are evaluated with dynamic accuracy and propose a Levenberg–Marquardt …

A derivative-free Gauss–Newton method

C Cartis, L Roberts - Mathematical Programming Computation, 2019 - Springer
We present DFO-GN, a derivative-free version of the Gauss–Newton method for solving
nonlinear least-squares problems. DFO-GN uses linear interpolation of residual values to …

Convergence analysis of a subsampled Levenberg-Marquardt algorithm

G **ng, J Gu, X **ao - Operations Research Letters, 2023 - Elsevier
In this work, a subsampled Levenberg-Marquardt algorithm is proposed for solving
nonconvex finite-sum optimization problem. At each iteration, based on subsampled function …

Variational data assimilation with finite-element discretization for second-order parabolic interface equation

X Li, X He, W Gong, CC Douglas - IMA Journal of Numerical …, 2025 - academic.oup.com
In this paper, we propose and analyze a finite-element method of variational data
assimilation for a second-order parabolic interface equation on a two-dimensional bounded …

A subsampling line-search method with second-order results

EH Bergou, Y Diouane, V Kunc… - INFORMS Journal …, 2022 - pubsonline.informs.org
In many contemporary optimization problems such as those arising in machine learning, it
can be computationally challenging or even infeasible to evaluate an entire function or its …

A robust adaptive iterative ensemble smoother scheme for practical history matching applications

X Ma, L Bi - Computational Geosciences, 2019 - Springer
Much of the recent work on history matching reservoir models has focused on the iterative
Ensemble Smoother (iES) method. This is well suited for practical applications because it …

Towards Improved Drought Prediction in the Mediterranean Region–Modelling Approaches and Future Directions

B Zellou, N El Moçayd… - Natural Hazards and Earth …, 2023 - nhess.copernicus.org
There is a scientific consensus that the Mediterranean region (MEDR) is warming and as the
temperature continues to rise, extreme events such as droughts and heat waves are …