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Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor

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Frontiers of Mathematics in China 2013年第1期8卷 155-168页

作者： guanglu zhou Liqun QI Soon-Yi WU Department of Mathematics and Statistics Curtin University Perth Australia Department of Applied Mathematics The Hong Kong Polytechnic University Hong Kong China Institute of Applied Mathematics Cheng-Kung University Tainan China

Consider the problem of computing the largest eigenvalue for nonnegative tensors. In this paper, we establish the Q-linear convergence of a power type algorithm for this problem under a weak irreducibility condition. ... 详细信息

关键词： Eigenvalue nonnegative tensor power method linear convergence

Approximation algorithms for nonnegative polynomial optimization problems over unit spheres

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Frontiers of Mathematics in China 2017年第6期12卷 1409-1426页

作者： Xinzhen ZHANG guanglu zhou Louis CACCETTA Mohammed ALQAHTANI School of Mathematics Tianjin University Tianjin 300072 China Department of Mathematics and Statistics Curtin University Perth Australia

We consider approximation algorithms for nonnegative polynomial optimization problems over unit spheres. These optimization problems have wide applications e.g., in signal and image processing, high order statistics, and computer vision. Since these problems are NP-hard, we are interested in studying on approximation algorithms. In particular, we propose some polynomial-time approximation algorithms with new approximation bounds. In addition, based on these approximation algorithms, some efficient algorithms are presented and numerical results are reported to show the efficiency of our proposed algorithms.

关键词： Approximation algorithm polynomial optimization approximationbound

Spectral Theory of Nonnegative Tensors

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Frontiers of Mathematics in China 2013年第1期8卷 1-1页

作者： Qingzhi YANG Liping ZHANG Tan ZHANG guanglu zhou School of Mathematical Sciences and LPMC Nankai University Tianjin 300071 China Department of Mathematical Sciences Tsinghua University Beijing 1()0084( China -- Department of Mathematics and Statistics Murray State University Murray KY 42071-0009 USA Department of Mathematics and Statistics Curtin University Perth Australia

Higher-order tensors are natural extensions of matrices; matrices are order-2 tensors. However, higher-order tensors represent multilinear maps, which are nonlinear, unlike matrices. The spectral theory of matrices plays a fundamental role in many branches of mathematics as well as a multitude of applied sciences. In contrast to the well robust theory of matrices, the development of the spectral theory for tensors is still at its early stages. In recent years, with the rapid flow of massive data in this digital world, the demand for effective and efficient data-processing and data-managing algorithms finds its way in connection with the spectral theory of tensors. In particular, such key concepts as rank and eigenvalues-eigenveetors of a given tensor are getting more intriguing and challenging to researchers today.

关键词： TENSOR algebra SPECTRAL theory (Mathematics)

Downside-Risk测度的双第三方回收再制造闭环供应链

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管理学报 2014年第10期11卷 1520-1527页

作者：史成东 zhou guanglu 闫秀霞张正民马玉申山东理工大学商学院澳大利亚科廷大学数学与统计系

以一个风险中性的制造商和一个具有风险规避特性的销售商及2个具有竞争特性的第三方回收商组成的再制造闭环供应链系统为背景,构建了Downside-Risk测度的双第三方回收再制造闭环供应链决策模型,分析了销售商风险规避特性、第三方回收商... 详细信息

以一个风险中性的制造商和一个具有风险规避特性的销售商及2个具有竞争特性的第三方回收商组成的再制造闭环供应链系统为背景,构建了Downside-Risk测度的双第三方回收再制造闭环供应链决策模型,分析了销售商风险规避特性、第三方回收商之间的竞争关系对供应链的影响,证明了在风险共享和费用共享组合契约的控制下,Downside-Risk测度的双第三方回收再制造闭环供应链能够实现完美协调;最后,通过数值仿真研究和灵敏度分析,验证了该模型的有效性及实用性。

关键词：风险规避闭环供应链古诺竞争契约协调

A MAXIMUM ENTROPY METHOD FOR CONSTRAINED SEMI-INFINITE PROGRAMMING PROBLEMS

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Systems Science and Mathematical Sciences 1999年第3期12卷 204-209页

作者： zhou guanglu WANG Changyu SHI Zhenjun(Institute of Operations Research, Qufu Normal University, Qufu 273165, China)SUN Qingying(Department of Mathematics and Physics, University of Petroleum,Dongying, Shandong 257062, China) 曲阜师范大学运筹学所山东曲阜 273165 曲阜师范大学运筹学所山东曲阜石油大学（东营）数理系山东东营 257062

This paper presents a new method, called the maximum entropy method,for solving semi-infinite programming problems, in which the semi-infinite programmingproblem is approximated by one with a single constraint. The convergence properties forthis method are discussed. Numerical examples are given to show the high effciency of thealgorithm.

关键词： Maximum entropy method algorithm convergence semi-infinite programming

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基于图像序列的油质颗粒检测系统研究与实现

计算机测量与控制 2011年第6期19卷 1321-1324页

作者：宋玉周广禄哈尔滨工业大学(威海) 山东威海264209

研究以设计实现一套能对油质颗粒进行便捷、快速和稳定检测的系统为基本目标;首先,给出系统的基本构成和实现的基本原理;然后,在现有数字图像处理技术基础上,重点针对油质颗粒图像处理和颗粒识别提出了适合系统需求的分块阈值处理算法... 详细信息

研究以设计实现一套能对油质颗粒进行便捷、快速和稳定检测的系统为基本目标;首先,给出系统的基本构成和实现的基本原理;然后,在现有数字图像处理技术基础上,重点针对油质颗粒图像处理和颗粒识别提出了适合系统需求的分块阈值处理算法和隔行隔列杂质颗粒识别算法;实验表明,采用分块阈值处理算法不仅能够提高系统处理速度,而且能够很好地消除油质颗粒受光照的影响,提高颗粒的检测精度;隔行隔列颗粒识别算法同样可以提高系统的检测速度。

关键词：颗粒检测分块阈值处理图像处理隔行隔列识别算法

Targeting PKM2 signaling cascade with salvianic acid A normalizes tumor blood vessels to facilitate chemotherapeutic drug delivery

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Acta Pharmaceutica Sinica B 2024年第5期14卷 2077-2096页

作者： Cheng Qian Yueke zhou Teng Zhang guanglu Dong Mengyao Song Yu Tang Zhonghong Wei Suyun Yu Qiuhong Shen Wenxing Chen Jaesung P.Choi Juming Yan Chongjin Zhong Li Wan Jia Li Aiyun Wang Yin Lu Yang Zhao Jiangsu Key Laboratory for Pharmacology and Safety Evaluation of Chinese Materia Medica Nanjing University of Chinese MedicineNanjing 210023China School of Medicine&Holistic Integrative Medicine Nanjing University of Chinese MedicineNanjing 210023China Centre for Inflammation Faculty of ScienceCentenary InstituteSchool of Life SciencesUniversity of Technology SydneySydney NSW 2050Australia Jiangsu Key Laboratory of Immunity and Metabolism Department of Pathogenic Biology and ImmunologyNational Experimental Demonstration Center for Basic Medicine EducationXuzhou Laboratory of Infection and ImmunityXuzhou Medical UniversityXuzhou 221004China Department of General Surgery Jiangsu Province Hospital of Chinese MedicineAffiliated Hospital of Nanjing University of Chinese MedicineNanjing 210029China Macquarie Medical School Faculty of MedicineHuman Health SciencesMacquarie UniversitySydney NSW 2109Australia

Aberrant tumor blood vessels are prone to propel the malignant progression of tumors,and targeting abnormal metabolism of tumor endothelial cells emerges as a promising option to achieve vascular normalization and antagonize tumor ***,we demonstrated that salvianic acid A(SAA)played a pivotal role in contributing to vascular normalization in the tumor-bearing mice,thereby improving delivery and effectiveness of the chemotherapeutic *** was capable of inhibiting glycolysis and strengthening endothelial junctions in the human umbilical vein endothelial cells(HUVECs)exposed to ***,SAA was inclined to directly bind to the glycolytic enzyme PKM2,leading to a dramatic decrease in endothelial *** importantly,SAA improved the endothelial integrity via activating theβ-Catenin/Claudin-5 signaling axis in a PKM2-dependent *** findings suggest that SAA may serve as a potent agent for inducing tumor vascular normalization.

关键词： Salvianic acid A Tumor vascular normalization PKM2 β-Catenin Claudin-5 Endothelial glycolysis Tight junctions Doxorubicin

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不确定图最小割边问题研究

智能计算机与应用 2014年第4期4卷 78-80页

作者：周广露哈尔滨工业大学计算机科学与技术学院哈尔滨150001

近年来,在多种领域中产生的大量数据都可以自然地建模为图结构,比如蛋白质交互网络、社会网络等.测量手段的不准确性以及数据本身的性质导致不确定性在很多图数据中普遍存在。文中研究的是不确定图中最小割问题,也就是说:在不确定图中,... 详细信息

近年来,在多种领域中产生的大量数据都可以自然地建模为图结构,比如蛋白质交互网络、社会网络等.测量手段的不准确性以及数据本身的性质导致不确定性在很多图数据中普遍存在。文中研究的是不确定图中最小割问题,也就是说:在不确定图中,由于数据的不确定性,当某边或者某顶点去掉时,可能造成最小割变化,而通常最为关心的则是这个最小割的最大值在不确定图中的概率是多少。

关键词：不确定性不确定图最小割最大流

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半无限规划问题的一个有效解法

计算数学 1999年第1期21卷 1-8页

作者：周广路王长钰张玉忠曲阜师范大学运筹学研究所中国科学院应用数学研究所北京100080

This paper presents an efficient method for solving unconstrained semi-infiniteminimax problems and constrained semi-infinite minimax problems and constrainedsemi-infinite problems, in which these two kinds of problems are approximated byunconstrained differentible optimization problems. Numerical examples are givento show the high efficiency of the method.

关键词：半无限规划极大值函数极大熵函数有效解法