TRUST-REGION

作品数：15被引量：34H指数：3
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相关领域：理学更多>>
相关作者：王浩于磊王骋刘东升徐炜君更多>>
相关机构：合肥工业大学东北石油大学更多>>
相关期刊：《Science China Mathematics》《计算机工程与应用》《Chinese Annals of Mathematics,Series B》《Earthquake Engineering and Engineering Vibration》更多>>
相关基金：国家自然科学基金安徽省自然科学基金更多>>
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A Derivative-Free Optimization Algorithm Combining Line-Search and Trust-Region Techniques
《Chinese Annals of Mathematics,Series B》2023年第5期719-734,共16页Pengcheng XIE Ya-xiang YUAN 
supported by the National Natural Science Foundation of China(No.12288201)。
The speeding-up and slowing-down(SUSD)direction is a novel direction,which is proved to converge to the gradient descent direction under some conditions.The authors propose the derivative-free optimization algorithm S...
关键词：Nonlinear optimization DERIVATIVE-FREE Quadratic model Line-Search TRUST-REGION 
A STOCHASTIC TRUST-REGION FRAMEWORK FOR POLICY OPTIMIZATION
《Journal of Computational Mathematics》2022年第6期1004-1030,共27页Mingming Zhao Yongfeng Li Zaiwen Wen 
The computational results were obtained at GPUs supported by the National Engineering Laboratory for Big Data Analysis and Applications and the High-performance Computing Platform of Peking University.
In this paper,we study a few challenging theoretical and numerical issues on the well known trust region policy optimization for deep reinforcement learning.The goal is to find a policy that maximizes the total expect...
关键词：Deep reinforcement learning Stochastic trust region method Policy optimization Global convergence Entropy control 
PRIMAL-DUAL PATH-FOLLOWING METHODS AND THE TRUST-REGION UPDATING STRATEGY FOR LINEAR PROGRAMMING WITH NOISY DATA被引量：1
《Journal of Computational Mathematics》2022年第5期756-776,共21页Xinlong Luo Yiyan Yao 
This work was supported in part by Grant 61876199 from National Natural Science Foundation of China,Grant YBWL2011085 from Huawei Technologies Co.,Ltd.,and Grant YJCB2011003HI;Innovation Research Program of Huawei Technologies Co.,Ltd..The first author is grateful to professor Li-Zhi Liao for introducing him the interiorpoint methods when he visited Hong Kong Baptist University in July,2012.
In this article,we consider the primal-dual path-following method and the trust-region updating strategy for the standard linear programming problem.For the rank-deficient problem with the small noisy data,we also giv...
关键词：Continuation Newton method Trust-region method Linear programming Rank deficiency Path-following method Noisy data. 
Adaptive sampling approach based on Jensen-Shannon divergence for efficient reliability analysis被引量：2
《Journal of Central South University》2021年第8期2407-2422,共16页CHEN Liang-jun HONG Yu Sujith MANGALATHU GOU Hong-ye PU Qian-hui 
Project(KY201801005)supported by the China-Indonesia High-Speed Rail Technology Joint Research Center。
Extensive studies have been carried out for reliability studies on the basis of the surrogate model,which has the advantage of guaranteeing evaluation accuracy while minimizing the need of calling the real yet complic...
关键词：RELIABILITY Monte Carlo Kriging model Jensen-Shannon divergence TRUST-REGION 
AN ADAPTIVE TRUST-REGION METHOD FOR GENERALIZED EIGENVALUES OF SYMMETRIC TENSORS
《Journal of Computational Mathematics》2021年第3期358-374,共17页Yuting Chen Mingyuan Cao Yueting Yang Qingdao Huang 
supported in part by the NNSF of China(11171003);the Innovation Talent Training Program of Science and Technology of Jilin Province of China(20180519011JH);the Science and Technology Development Project Program of Jilin Province(20190303132SF);The research of Mingyuan Cao is partially supported by the Project of Education Department of Jilin Province(JJKH20200028KJ);The research of Qingdao Huang is partially supported by the NNSF of China(11171131).
For symmetric tensors,computing generalized eigenvalues is equivalent to a homogenous polynomial optimization over the unit sphere.In this paper,we present an adaptive trustregion method for generalized eigenvalues of...
关键词：Symmetric tensors Generalized eigenvalues TRUST-REGION Global convergence Local quadratic convergence 
A BLOCK LANCZOS METHOD FOR THE CDT SUBPROBLEM
《Journal of Computational Mathematics》2019年第2期240-260,共21页Liqiang Song Wei Hong Yang 
In this paper, we present a block Lanczos met hod for solving the large-scale CDT subproblem. During the algorithm, the original CDT subproblem is projected to a smallscale one, and then some classical method is emplo...
关键词：CDT subproblem TRUST-REGION subproblem Block-Lanczos method Krylov SUBSPACE Error BOUNDS 
Adaptive optimization methodology based on Kriging modeling and a trust region method被引量：14
《Chinese Journal of Aeronautics》2019年第2期281-295,共15页Chunna LI Qifeng PAN 
co-supported by the National Natural Science Foundation of China (No. 11502209);the Free Research Projects of the Central University Funding of China (No. 3102015ZY007)
Surrogate-Based Optimization(SBO) is becoming increasingly popular since it can remarkably reduce the computational cost for design optimizations based on high-fidelity and expensive numerical analyses. However, for c...
关键词：AIRFOIL Design OPTIMIZATION KRIGING model Surrogate-based OPTIMIZATION TRUST-REGION method 
On the Global Convergence of a Projective Trust Region Algorithm for Nonlinear Equality Constrained Optimization
《Acta Mathematica Sinica,English Series》2018年第12期1804-1828,共25页Yong Gang PEI De Tong ZHU 
Supported by National Natural Science Foundation of China(Grant Nos.11671122 and 11371253);Key Scientific Research Project for Colleges and Universities in He’nan Province(Grant No.15A110031);Key Scientific and Technological Project of He’nan Province(Grant No.162102210069);Natural Science Foundation of He’nan Normal University(Grant No.2014QK04);Ph.D. Research Foundation of He’nan Normal University(Grant Nos.QD13041 and QD14155)
A trust-region sequential quadratic programming （SQP） method is developed and analyzed for the solution of smooth equality constrained optimization problems. The trust-region SQP algorithm is based on filter line se...
关键词：Sequential quadratic programming TRUST-REGION filter line search PROJECTION global convergence 
A TRUST-REGION ALGORITHM FOR SOLVING MINI-MAX PROBLEM
《Journal of Computational Mathematics》2018年第6期776-791,共16页Bothina E1-Sobky Abdallah Abotahoun 
In this paper, we propose an algorithm for solving inequality constrained mini-max optimization problem. In this algorithm, an active set strategy is used together with mul- tiplier method to convert the inequality co...
关键词：Mini-max problem Active-set Multiplier method TRUST-REGION Global con-vergence 
A TRUST-REGION-BASED ALTERNATING LEAST-SQUARES ALGORITHM FOR TENSOR DECOMPOSITIONS
《Journal of Computational Mathematics》2018年第3期351-373,共23页Fan Jiang Deren Han Xiaofei Zhang 
Tensor canonical decomposition （shorted as CANDECOMP/PARAFAC or CP） decomposes a tensor as a sum of rank-one tensors, which finds numerous applications in signal processing, hypergraph analysis, data analysis, etc. ...
关键词：Tensor decompositions Trust region method Alternating least-squares Ex-trapolation scheme Global convergence Regularization. 
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