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检索条件"主题词=Quadratically constrained quadratic programming"
95 条 记 录,以下是51-60 订阅
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SOCP reformulation for the generalized trust region subproblem via a canonical form of two symmetric matrices
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MATHEMATICAL programming 2018年 第2期169卷 531-563页
作者: Jiang, Rujun Li, Duan Wu, Baiyi Chinese Univ Hong Kong Dept Syst Engn & Engn Management Shatin Hong Kong Peoples R China Guangdong Univ Foreign Studies Sch Finance Guangzhou Guangdong Peoples R China
We investigate in this paper the generalized trust region subproblem (GTRS) of minimizing a general quadratic objective function subject to a general quadratic inequality constraint. By applying a simultaneous block d... 详细信息
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Constructing Multiple Kernel Learning Framework for Blast Furnace Automation
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IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING 2012年 第4期9卷 763-777页
作者: Jian, Ling Gao, Chuanhou Xia, Zhonghang China Univ Petr Coll Sci Qingdao 266555 Peoples R China Dalian Univ Technol Sch Math Sci Dalian 116024 Peoples R China Zhejiang Univ Dept Math Hangzhou 310027 Zhejiang Peoples R China Western Kentucky Univ Dept Comp Sci Bowling Green KY 42101 USA
This paper constructs the framework of the reproducing kernel Hilbert space for multiple kernel learning, which provides clear insights into the reason that multiple kernel support vector machines (SVM) outperform sin... 详细信息
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NONCONVEX PHASE SYNCHRONIZATION
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SIAM JOURNAL ON OPTIMIZATION 2016年 第4期26卷 2355-2377页
作者: Boumal, Nicolas Princeton Univ Dept Math Princeton NJ 08544 USA
We estimate n phases (angles) from noisy pairwise relative phase measurements. The task is modeled as a nonconvex least-squares optimization problem. It was recently shown that this problem can be solved in polynomial... 详细信息
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Multi-class discriminant kernel learning via convex programming
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JOURNAL OF MACHINE LEARNING RESEARCH 2008年 第4期9卷 719-758页
作者: Ye, Jieping Ji, Shuiwang Chen, Jianhui Arizona State Univ Dept Comp Sci & Engn Ctr Evolutionary Funct Genom Biodesign Inst Tempe AZ 85287 USA
Regularized kernel discriminant analysis (RKDA) performs linear discriminant analysis in the feature space via the kernel trick. Its performance depends on the selection of kernels. In this paper, we consider the prob... 详细信息
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A working set SQCQP algorithm with simple nonmonotone penalty parameters
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2011年 第6期236卷 1382-1398页
作者: Tang, Chun-Ming Jian, Jin-Bao Li, Guo-Yin Guangxi Univ Coll Math & Informat Sci Nanning 530004 Peoples R China Univ New S Wales Dept Appl Math Sydney NSW 2052 Australia
In this paper, we present a new sequential quadratically constrained quadratic programming (SQCQP) algorithm, in which a simple updating strategy of the penalty parameter is adopted. This strategy generates nonmonoton... 详细信息
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Maximizing the sum of a generalized Rayleigh quotient and another Rayleigh quotient on the unit sphere via semidefinite programming
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JOURNAL OF GLOBAL OPTIMIZATION 2016年 第2期64卷 399-416页
作者: Van-Bong Nguyen Sheu, Ruey-Lin Xia, Yong Natl Cheng Kung Univ Dept Math Tainan 701 Taiwan Beihang Univ Sch Math & Syst Sci State Key Lab Software Dev Environm LMIB Minist Educ Beijing 100191 Peoples R China
The problem is a type of "sum-of-ratios" fractional programming and is known to be NP-hard. Due to many local maxima, finding the global maximizer is in general difficult. The best attempt so far is a critic... 详细信息
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PROJECTIVELY AND WEAKLY SIMULTANEOUSLY DIAGONALIZABLE MATRICES AND THEIR APPLICATIONS\ast
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SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 2024年 第1期45卷 167-202页
作者: Ding, Wentao Li, Jianze Zhang, Shuzhong Chinese Univ Hong Kong Shenzhen Res Inst Big Data Sch Data Sci Shenzhen Guangdong Peoples R China Chinese Univ Hong Kong Shenzhen Res Inst Big Data Shenzhen Guangdong Peoples R China Univ Minnesota Dept Ind & Syst Engn Minneapolis MN 55455 USA
Characterizing simultaneously diagonalizable (SD) matrices has been receiving considerable attention in recent decades due to its wide applications and its role in matrix analysis. However, the notion of SD matrices i... 详细信息
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Generating cutting planes for the semidefinite relaxation of quadratic programs
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COMPUTERS & OPERATIONS RESEARCH 2015年 第Mar.期55卷 65-75页
作者: Gorge, Agnes Lisser, Abdel Zorgati, Riadh Univ Paris 11 LRI F-91405 Orsay France EDF R&D OSIRIS F-92141 Clamart France
Semidefinite programming is well-known for providing relaxations of quadratic programs. In practice, only few real-world applications of this approach have been reported. This can be explained by the fact that the sta... 详细信息
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Robust adaptive beamforming based on a new steering vector estimation algorithm
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SIGNAL PROCESSING 2013年 第9期93卷 2539-2542页
作者: Jia, Weimin Jin, Wei Zhou, Shuhua Yao, Minli Xian Res Inst High Technol Dept Elect & Informat Engn Xian 710025 Shaanxi Peoples R China Xian Res Inst High Technol Wire Commun Tech Off Qing Zhou 262500 Shandong Peoples R China
A new approach to the design of robust adaptive beamforming is introduced. In the proposed approach, the mismatch vector of the desired steering vector is estimated by solving a quadratically constrained quadratic pro... 详细信息
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New notions of simultaneous diagonalizability of quadratic forms with applications to QCQPs
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MATHEMATICAL programming 2024年 1-48页
作者: Wang, Alex L. Jiang, Rujun Carnegie Mellon Univ Pittsburgh PA USA Purdue Univ Daniels Sch Business W Lafayette IN USA Fudan Univ Sch Data Sci Shanghai Peoples R China Shanghai Key Lab Contemporary Appl Math Shanghai Peoples R China
A set of quadratic forms is simultaneously diagonalizable via congruence (SDC) if there exists a basis under which each of the quadratic forms is diagonal. This property appears naturally when analyzing quadratically ... 详细信息
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