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The study of signal reconstruction: an investigation independent of shannon-Nyquist theorems

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Science China(Information Sciences) 2020年第10期63卷 279-281页

作者： Guangjun shan School of Information Engineering East China University of Technology School of Optical and Electronic Information Huazhong University of Science and Technology

Dear editor,The sampling theorem is a keystone to modern information ***’s early study [1] on determining the bandwidth requirements for transmitting information laid the foundations for later advances by shannon[2].Of course,many other brilliant scientists,e.g.,Whittaker,Hartley,Kotelnikov,Gabor,also made solid contributions to modern communication theory [3,4].shannon [2] summarized that if a sig-

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Augmentation Quotients for Complex Representation Rings of Generalized Quaternion Groups

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Chinese Annals of Mathematics,Series B 2016年第4期37卷 571-584页

作者： shan CHANG School of Mathematics Hefei University of Technology

Abstract Denote by Qm the generalized quaternion group of order 4m. Let R（Qm） be its complex representation ring, and △（Qm） its augmentation ideal. In this paper, the author gives an explicit Z-basis for the △n... 详细信息

关键词： Generalized quaternion groups Representation ring Augmentation quotients

Partial Penalized Empirical Likelihood Ratio Test Under Sparse Case

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Acta Mathematicae Applicatae Sinica 2017年第2期33卷 327-344页

作者： shan-shan WANG Heng-jian CUI School of Economics and Management Beihang University School of Mathematical Sciences & BCMIIS Capital Normal University

A consistent test via the partial penalized empirical likelihood approach for the parametric hy- pothesis testing under the sparse case, called the partial penalized empirical likelihood ratio （PPELR） test, is proposed in this paper. Our results are demonstrated for the mean vector in multivariate analysis and regression coefficients in linear models, respectively. And we establish its asymptotic distributions under the null hypoth- esis and the local alternatives of order n-1/2 under regularity conditions. Meanwhile, the oracle property of the partial penalized empirical likelihood estimator also holds. The proposed PPELR test statistic performs as well as the ordinary empirical likelihood ratio test statistic and outperforms the full penalized empirical like- lihood ratio test statistic in term of size and power when the null parameter is zero. Moreover, the proposed method obtains the variable selection as well as the p-values of testing. Numerical simulations and an analysis of Prostate Cancer data confirm our theoretical findings and demonstrate the promising performance of the proposed method in hypothesis testing and variable selection.

关键词： Chi-squared distribution empirical likelihood partial penalized empirical likelihood SCAD sparse

IDSS: Designing to Extend the Cognitive Limits

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Journal of Systems Engineering and Electronics 1993年第1期4卷 33-44页

作者： Feng, shan Huazhong Univ of Science and Technology Wuhan China

The paper presents the conceptual and operational basis of the creation of IDSS based on our recent research experience. In this paper, an intelligent decision support system, IDSS is defined as: any interactive system that is specially designed to improve the decision making of its user by extending the user's cognitive decision making abilities. As a result, this view of man-machine joint cognitive system stresses the need to use computational technology to aid the user in the decision making process. And the human's role is to achieve total systems's objectives. The paper outlines the designing procedure in successive steps. First, the decision maker's cognitive needs for decision support are identified. Second, the computationally realizable support functions are defined that could be provided by IDSS. Then, the specific techniques that would best fill the decision needs are discussed. And finally, for system implementation the modern computational technology infrastructure is emphasized.

关键词： Artificial intelligence Cognitive systems Computational methods Computer architecture Decision theory Information science Information theory Interactive computer systems Knowledge based systems Man machine systems Systems engineering

Homoclinic Orbits for First Order Hamiltonian Systems with Some Twist Conditions

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Acta Mathematica Sinica,English Series 2015年第11期31卷 1725-1738页

作者： Yuan shan School of Mathematics and Statistics Nanjing Audit University

In this paper, we study the nonperiodic first-order Hamiltonian system u = JL（t）u ＋ JH＇（t,u）, where HεCl（RxR2n）. With some assumptions on L, the corresponding Hamiltonianoperator has only discrete spectrum. By using the index theory for self-adjoint operator equation, we establish the existence of multiple homoclinic orbits for the asymptotically quadratic nonlinearty satisfying some twist conditions between infinity and origin.

关键词： Homoclinic solutions first order Hamiltonian system index theory twist conditions

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深度学习驱动下的目标检测研究进展综述

计算机工程与应用 2025年第01期61卷 24-41页

作者：山显英张琳李泽慧北京建筑大学电气与信息工程学院

近年来，深度学习在GPU高性能计算能力的加持下得到了迅速推广，并在安防、医疗、工业等领域实现了广泛应用。目标检测模型的性能也在稳步提高，从传统的目标检测方法逐渐过渡到基于卷积神经网络（CNN）深度学习的进一步应用，极大地节... 详细信息

近年来，深度学习在GPU高性能计算能力的加持下得到了迅速推广，并在安防、医疗、工业等领域实现了广泛应用。目标检测模型的性能也在稳步提高，从传统的目标检测方法逐渐过渡到基于卷积神经网络（CNN）深度学习的进一步应用，极大地节省了人力物力。通过参考大量文献，按照两阶段脉络梳理了目标检测的发展历程以及近年深度学习在目标检测领域内的研究进展，对比了在不同数据集上模型网络的性能，总结不同方法的优势与不足，并对领域内重要数据集作了归纳，还对目标检测算法的落地效果做了总结，特别是生活与科技中的实际应用（无人驾驶、医学图像、遥感等）。最后，还对深度学习驱动下目标检测在未来研究上的机遇和挑战作了展望。

关键词：目标检测卷积神经网络单阶段两阶段目标检测应用

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Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation

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Acta Mathematica Sinica,English Series 2020年第9期36卷 969-1000页

作者： Min Jie shan Academy of Mathematics and Systems Science Chinese Academy of SciencesBeijing 100190P.R.China

The initial value problem for two-dimensional Zakharov-Kuznetsov equation is shown to be globally well-posed in H^s(R^2)for all 5/7 详细信息

The initial value problem for two-dimensional Zakharov-Kuznetsov equation is shown to be globally well-posed in H^s(R^2)for all 5/7

关键词： Zakharov-Kuznetsov equation global well-posedness global attractor I-method atomic spaces

Le Système d’Euler de Kato en Famillie(Ⅱ)

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Acta Mathematica Sinica,English Series 2021年第1期37卷 173-204页

作者： shan Wen WANG School of Mathematics Renmin University of ChinaBeijing 100872P.R.China

This article is the second article on the generalization of Kato’s Euler *** main subject of this article is to construct a family of Kato’s Euler systems over the cuspidal eigencurve,which interpolate the Kato’s Euler systems associated to the modular forms parametrized by the cuspidal *** also explain how to use this family of Kato’s Euler system to construct a family of distributions on Z_p over the cuspidal eigencurve;this distribution gives us a two-variable p-adic L function which interpolate the p-adic L function of modular forms.

关键词： Kato’s Euler system p-adic modular forms p-adic L functions

Convergence analysis for delay Volterra integral equation

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Applied Mathematics(A Journal of Chinese Universities) 2022年第2期37卷 306-316页

作者： ZHENG Wei-shan College of Mathematics and Statistics Hanshan Normal UniversityChaozhou 521041China

In this article we use Chebyshev spectral collocation method to deal with the Volterra integral equation which has two kinds of delay items. We use linear transformation to make the interval into a fixed interval [-1, 1]. Then we use the Gauss quadrature formula to approximate the solution. With the help of lemmas, we get the result that the numerical error decay exponentially in the infinity norm and the Chebyshev weighted Hilbert space norm. Some numerical experiments are given to confirm our theoretical prediction.

关键词： Chebyshev spectral collocation method delay Gauss quadrature formula convergence analysis