Accelerated Gradient Methods Combining Tikhonov Regularization with Geometric Damping Driven by the Hessian
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization
Link
https://link.springer.com/content/pdf/10.1007/s00245-023-09997-x.pdf
Reference50 articles.
1. Abbas, B., Attouch, H., Svaiter, B.F.: Newton-like dynamics and forward-backward methods for structured monotone inclusions in Hilbert spaces. J. Optim. Theory Appl. 161(2), 331–360 (2014)
2. Adly, S., Attouch, H., Vo, V.N.: Newton-type inertial algorithms for solving monotone equations governed by sums of potential and nonpotential operators. Appl. Math. Optim. 85, 44 (2022). https://doi.org/10.1007/s00245-022-09846-3
3. Alvarez, F., Cabot, A.: Asymptotic selection of viscosity equilibria of semilinear evolution equations by the introduction of a slowly vanishing term. Discrete Contin. Dyn. Syst. 15, 921–938 (2006)
4. Apidopoulos, V., Aujol, J.-F., Dossal, Ch.: The differential inclusion modeling the FISTA algorithm and optimality of convergence rate in the case $$b \le 3$$. SIAM J. Optim. 28(1), 551–574 (2018)
5. Attouch, H.: Viscosity solutions of minimization problems. SIAM J. Optim. 6(3), 769–806 (1996)
Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Second Order Dynamics Featuring Tikhonov Regularization and Time Scaling;Journal of Optimization Theory and Applications;2024-08-21
2. A Nesterov Type Algorithm with Double Tikhonov Regularization: Fast Convergence of the Function Values and Strong Convergence to the Minimal Norm Solution;Applied Mathematics & Optimization;2024-07-05
3. Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping;SIAM Journal on Optimization;2024-07-02
4. Convex optimization via inertial algorithms with vanishing Tikhonov regularization: fast convergence to the minimum norm solution;Mathematical Methods of Operations Research;2024-06
5. Fast Convex Optimization via Differential Equation with Hessian-Driven Damping and Tikhonov Regularization;Journal of Optimization Theory and Applications;2024-05-30
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3