Results 261 to 270 of about 12,502,488 (286)

Continuous-Time Heavy-Ball Gradient Method: Safety, Stability and Robustness

IEEE Control Systems Letters
This letter proposes a continuous-time heavy-ball dynamical system to solve a constrained nonlinear optimization problem, ensuring forward invariance of the constraint set.
Karthik Shenoy, A. Mahindrakar, Umesh Vaidya   +2 more
semanticscholar   +3 more sources

The multidimensional n-th order heavy ball method and its application to extremum seeking

53rd IEEE Conference on Decision and Control, 2014
In this paper the extension of the heavy ball method to n-th order integrator dynamics is considered. We propose a gradient based controller that achieves to find the extremum of a function depending on multiple variables and prove asymptotic stability for all functions from the set of strongly convex functions.
Simon Michalowsky, C. Ebenbauer
semanticscholar   +3 more sources

Local Convergence of the Heavy Ball Method in Iterative Hard Thresholding for Low-rank Matrix Completion

ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2019
We present a momentum-based accelerated iterative hard thresholding (IHT) for low-rank matrix completion. We analyze the convergence of the proposed Heavy Ball (HB) accelerated IHT near the solution and provide optimal step size parameters that guarantee
Trung Vu, R. Raich
semanticscholar   +3 more sources

State Observer-Based Iterative Learning Control Design for Discrete Systems Using the Heavy Ball Method

Automation and Remote Control
Eric Rogers
exaly   +2 more sources

The Projected Heavy-ball Method for Quasar-monotone Variational Inequalities and Quasar-convex Optimization

Journal of Optimization Theory and Applications
Nhung H. Nguyen, Thanh Quoc Trinh, P. T. Vuong   +2 more
semanticscholar   +2 more sources

Heavy Ball Flexible GMRES Method for Nonsymmetric Linear Systems

Journal of Computational Mathematics, 2022
Flexible GMRES (FGMRES) is a variant of preconditioned GMRES, which changes preconditioners at every Arnoldi step. GMRES often has to be restarted in order to save storage and reduce orthogonalization cost in the Arnoldi process. Like restarted GMRES, FGMRES may also have to be restarted for the same reason.
Yang, Mei, Li, Ren-Cang
openaire   +2 more sources

Uniting Nesterov's Accelerated Gradient Descent and the Heavy Ball Method for Strongly Convex Functions with Exponential Convergence Rate

American Control Conference, 2021
We propose a hybrid control algorithm that guarantees fast convergence and uniform global asymptotic stability of the set of minimizers of a convex objective function. The algorithm, developed using hybrid system tools, employs a uniting control strategy,
Dawn M. Hustig-Schultz, R. Sanfelice
semanticscholar   +1 more source

Locally optimal and heavy ball GMRES methods

Japan Journal of Industrial and Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akira Imakura, Ren-Cang Li, Shao-Liang Zhang   +2 more
openaire   +1 more source

Iterative Learning Control of a Discrete System with Input Backlash Based on the Heavy Ball Method

International Computer Science Conference
The paper considers the design problem of accelerated iterative learning control (ILC) for a discrete system with input backlash that is characteristic of actuators.
J. Emelianova, P. Pakshin
semanticscholar   +1 more source

Polyak's Heavy Ball Method Achieves Accelerated Local Rate of Convergence under Polyak-Lojasiewicz Inequality

arXiv.org
In this work, we analyze the convergence of Polyak's heavy ball method in both continuous and discrete time for non-convex $C^4$-objective functions satisfying the Polyak-Lojasiewicz inequality.
Sebastian Kassing, Simon Weissmann
semanticscholar   +1 more source