NONCONVEX

作品数:85被引量:74H指数:4
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相关领域:理学更多>>
相关作者:郑璇赵磊汤雁更多>>
相关机构:天津城市建设学院上海大学天津大学上海交通大学更多>>
相关期刊:《Journal of Electronic Research and Application》《Journal of Mathematical Research with Applications》《Science China Mathematics》《Science Bulletin》更多>>
相关基金:国家自然科学基金中国博士后科学基金山西省自然科学基金福建省自然科学基金更多>>
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Nonconvex and discriminative transfer subspace learning for unsupervised domain adaptation
《Frontiers of Computer Science》2025年第2期43-57,共15页Yueying LIU Tingjin LUO 
supported by the National Natural Science Foundation of China(Grant No.61922087);the Huxiang Young Talents Program of Hunan Province(2021RC3070).
Unsupervised transfer subspace learning is one of the challenging and important topics in domain adaptation,which aims to classify unlabeled target data by using source domain information.The traditional transfer subs...
关键词:transfer subspace learning unsupervised domain adaptation low-rank modeling nonconvex optimization 
Nonconvex Constrained Consensus of Discrete-Time Heterogeneous Multi-Agent Systems with Arbitrarily Switching Topologies
《Journal of Electronic Research and Application》2025年第1期14-22,共9页Honghao Wu 
2024 Jiangsu Province Youth Science and Technology Talent Support Project;2024 Yancheng Key Research and Development Plan(Social Development)projects,“Research and Application of Multi Agent Offline Distributed Trust Perception Virtual Wireless Sensor Network Algorithm”and“Research and Application of a New Type of Fishery Ship Safety Production Monitoring Equipment”。
This paper mainly focuses on the velocity-constrained consensus problem of discrete-time heterogeneous multi-agent systems with nonconvex constraints and arbitrarily switching topologies,where each agent has first-ord...
关键词:HETEROGENEOUS Multi-agent systems Nonconvex constraint CONSENSUS 
ERROR ANALYSIS FOR PARABOLIC OPTIMAL CONTROL PROBLEMS WITH MEASURE DATA IN A NONCONVEX POLYGONAL DOMAIN
《Journal of Computational Mathematics》2024年第6期1579-1604,共26页Pratibha Shakya 
This paper considers the finite element approximation to parabolic optimal control problems with measure data in a nonconvex polygonal domain.Such problems usually possess low regularity in the state variable due to t...
关键词:A priori and a posteriori error estimates Finite element method Measure data Nonconvex polygonal domain Optimal control problem 
A General Framework for Nonconvex Sparse Mean-CVaR Portfolio Optimization Via ADMM
《Journal of the Operations Research Society of China》2024年第4期1022-1047,共26页Ke-Xin Sun Zhong-Ming Wu Neng Wan 
supported by the National Natural Science Foundation of China(No.12001286);the Project funded by China Postdoctoral Science Foundation(No.2022M711672).
This paper presents a general framework for addressing sparse portfolio optimization problems using the mean-CVaR(Conditional Value-at-Risk)model and regularization techniques.The framework incorporates a non-negative...
关键词:Portfolio optimization Mean-CVaR Sparse regularization Alternating direction method of multipliers 
Balance Sparse Decomposition Method with Nonconvex Regularization for Gearbox Fault Diagnosis
《Chinese Journal of Mechanical Engineering》2024年第5期258-271,共14页Weiguo Huang Jun Wang Guifu Du Shuyou Wu Zhongkui Zhu 
Supported by National Natural Science Foundation of China(Grant Nos.52075353,52007128).
As an important part of rotating machinery,gearboxes often fail due to their complex working conditions and harsh working environment.Therefore,it is very necessary to effectively extract the fault features of the gea...
关键词:Gearbox fault diagnosis Balance model Sparse decomposition Non-convex regularization 
GLOBAL CONVERGENCE OF A CAUTIOUS PROJECTION BFGS ALGORITHM FOR NONCONVEX PROBLEMS WITHOUT GRADIENT LIPSCHITZ CONTINUITY
《Acta Mathematica Scientia》2024年第5期1735-1746,共12页Gonglin YUAN Xiong ZHAO Jiajia YU 
supported by the Guangxi Science and Technology base and Talent Project(AD22080047);the National Natural Science Foundation of Guangxi Province(2023GXNFSBA 026063);the Innovation Funds of Chinese University(2021BCF03001);the special foundation for Guangxi Ba Gui Scholars.
A cautious projection BFGS method is proposed for solving nonconvex unconstrained optimization problems.The global convergence of this method as well as a stronger general convergence result can be proven without a gr...
关键词:cautious BFGS nonconvex problems Lipschitz continuity projection technique global convergence 
PERIODIC SYSTEMS WITH TIME DEPENDENT MAXIMAL MONOTONE OPERATORS
《Acta Mathematica Scientia》2024年第4期1280-1300,共21页Zhenhai LIU Nikolaos S.PAPAGEORGIOU 
supported by the NSFC(12071413);the Guangxi Natural Sci-ence Foundation(2023GXNSFAA026085);the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No.823731 CONMECH。
We consider a first order periodic system in R^(N),involving a time dependent maximal monotone operator which need not have a full domain and a multivalued perturbation.We prove the existence theorems for both the con...
关键词:periodic boundary condition time-dependent maximal monotone operator convex and nonconvex problems extremal solutions strong relaxation 
Global Solutions to Nonconvex Problems by Evolution of Hamilton-Jacobi PDEs
《Communications on Applied Mathematics and Computation》2024年第2期790-810,共21页Howard Heaton Samy Wu Fung Stanley Osher 
partially funded by AFOSR MURI FA9550-18-502,ONR N00014-18-1-2527,N00014-18-20-1-2093,N00014-20-1-2787;supported by the NSF Graduate Research Fellowship under Grant No.DGE-1650604.
Computing tasks may often be posed as optimization problems.The objective functions for real-world scenarios are often nonconvex and/or nondifferentiable.State-of-the-art methods for solving these problems typically o...
关键词:Global optimization Moreau envelope HAMILTON-JACOBI Hopf-Lax-Cole-Hopf Proximals Zero-order optimization 
SPARSE RECOVERY BASED ON THE GENERALIZED ERROR FUNCTION
《Journal of Computational Mathematics》2024年第3期679-704,共26页Zhiyong Zhou 
supported by the Zhejiang Provincial Natural Science Foundation of China under grant No.LQ21A010003.
In this paper,we offer a new sparse recovery strategy based on the generalized error function.The introduced penalty function involves both the shape and the scale parameters,making it extremely flexible.For both cons...
关键词:Sparse recovery Generalized error function Nonconvex regularization Itera-tive reweighted Li Difference of convex functions algorithms 
Convergence of Bregman Alternating Direction Method of Multipliers for Nonseparable Nonconvex Objective with Linear Constraints
《Journal of Applied Mathematics and Physics》2024年第2期639-660,共22页Xiaotong Zeng Junping Yao Haoming Xia 
In this paper, our focus lies on addressing a two-block linearly constrained nonseparable nonconvex optimization problem with coupling terms. The most classical algorithm, the alternating direction method of multiplie...
关键词:Nonseparable Nonconvex Optimization Bregman ADMM Kurdyka-Lojasiewicz Inequality 
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