Proximal gradient method for nonsmooth optimization over the Stiefel manifold

S Chen, S Ma, A Man-Cho So, T Zhang - SIAM Journal on Optimization, 2020 - SIAM
We consider optimization problems over the Stiefel manifold whose objective function is the
summation of a smooth function and a nonsmooth function. Existing methods for solving this …

A derivative-free iterative method for nonlinear monotone equations with convex constraints

J Liu, Y Feng - Numerical Algorithms, 2019 - Springer
In this paper, based on the projection strategy, we propose a derivative-free iterative method
for large-scale nonlinear monotone equations with convex constraints, which can generate a …

[HTML][HTML] A conjugate gradient method to solve convex constrained monotone equations with applications in compressive sensing

Y **ao, H Zhu - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
CG_DESCENT is a state-of-the-art algorithm to solve large-scale unconstrained
minimization problems. However, research activities on CG_DESCENT in some other …

[HTML][HTML] A projection method for convex constrained monotone nonlinear equations with applications

JK Liu, SJ Li - Computers & Mathematics with Applications, 2015 - Elsevier
In this paper, we present a projection method to solve monotone nonlinear equations with
convex constraints. This method can be viewed as an extension of CG_DESCENT method …

A modified inertial three-term conjugate gradient projection method for constrained nonlinear equations with applications in compressed sensing

G Ma, J **, J Jian, J Yin, D Han - Numerical Algorithms, 2023 - Springer
In this paper, based on the three-term conjugate gradient projection method and the inertial
technique, we propose a modified inertial three-term conjugate gradient projection method …

A class of derivative-free methods for large-scale nonlinear monotone equations

Q Li, DH Li - IMA Journal of Numerical Analysis, 2011 - academic.oup.com
In this paper, based on a line search technique proposed by Solodov and Svaiter (1998,
Reformulation: Nonsmooth, Piecewise Smooth, Semismooth, and Smoothing Methods (M …

Nonsmooth optimization over the Stiefel manifold and beyond: Proximal gradient method and recent variants

S Chen, S Ma, A Man-Cho So, T Zhang - SIAM Review, 2024 - SIAM
We consider optimization problems over the Stiefel manifold whose objective function is the
summation of a smooth function and a nonsmooth function. Existing methods for solving this …

Robust regularized extreme learning machine with asymmetric Huber loss function

D Gupta, BB Hazarika, M Berlin - Neural Computing and Applications, 2020 - Springer
Sediment transport is one of the major challenging fields in hydrology. The tropical
atmosphere, complex topography and occasional extreme precipitation are the fundamental …

An inertial spectral CG projection method based on the memoryless BFGS update

X Wu, H Shao, P Liu, Y Zhuo - Journal of Optimization Theory and …, 2023 - Springer
Combining the derivative-free projection with inertial technique, we propose a hybrid inertial
spectral conjugate gradient projection method for solving constrained nonlinear monotone …

An accelerated relaxed-inertial strategy based CGP algorithm with restart technique for constrained nonlinear pseudo-monotone equations to image de-blurring …

X Jiang, Z Huang - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In this paper, an accelerated spectral conjugate gradient projection algorithm is proposed for
solving the constrained nonlinear pseudo-monotone equations. We set a restart procedure …