彭 林玉 (ペング リニュウ)

PENG Linyu



理工学部 機械工学科 (矢上)





経歴 【 表示 / 非表示

  • 2013年10月

    早稲田大学, 次席研究員

  • 2015年04月

    早稲田大学, 助教

  • 2017年04月

    早稲田大学, 講師

  • 2020年04月

    慶應義塾大学, 講師

  • 2023年04月

    慶應義塾大学, 准教授

学歴 【 表示 / 非表示

  • 2004年09月


    大学, 卒業

  • 2008年09月


    大学院, 修了, 修士

  • 2010年10月

    University of Surrey

    大学院, 修了, 博士

学位 【 表示 / 非表示

  • PhD, University of Surrey, 課程, 2013年09月


研究分野 【 表示 / 非表示

  • 自然科学一般 / 数学基礎 (応用数学)

  • 自然科学一般 / 応用数学、統計数学 (応用数学)

研究キーワード 【 表示 / 非表示

  • 対称性と保存則

  • 幾何学的力学系理論

  • 幾何学的数値積分

  • 情報幾何学


著書 【 表示 / 非表示

  • Paving the Way for 5G Through the Convergence of Wireless Systems

    Zhang X., Cao Y., Peng L., Li J., IGI Global Publisher, 2019年

    担当範囲: Enhancing Mobile Data Offloading With In-Network Caching,  担当ページ: 250-270

  • An Elementary Introduction to Information Geometry

    Sun H., Zhang Z., Peng L., Duan X., 科学出版社, 北京, 2016年03月

  • Object Recognition

    Li F., Peng L., Sun H., IntechOpen, 2011年04月,  ページ数: 350

    担当範囲: Fibre Bundle Models and 3D Object Recognition,  担当ページ: 317-332

論文 【 表示 / 非表示

  • Developing a cloud evidence method for dynamic early warning of tunnel construction safety risk in undersea environment

    Zhou H., Gao B., Zhao X., Peng L., Bai S.

    Developments in the Built Environment (Developments in the Built Environment)  16 2023年12月


    Traditional methods have limitations in achieving precise predictions of risk occurrence at an exact future time and have difficulties transforming between qualitative and quantitative indicators and handling multi-source heterogeneous risk data. This study quantifies and analyzes the multi-source construction safety risks classified into the categories of man, machine, material, method and environment (4M1E), and presents a cloud evidence method that integrates wavelet de-noising algorithm, cloud model, and Dempster-Shafer (D-S) evidence theory. A real-time risk prediction and warning is provided using this method after the fusion of multi-source uncertain information and the transformation between qualitative and quantitative indicators, enabling the timely detection of potential risks for project managers. This method analyzing “uncertainty” with “certainty” is verified by an undersea tunnel construction project. The result shows that this method is effective in early warning risks two days before their actual occurrence, providing reference significance for risk early warning of the tunnel construction project.

  • The difference variational bicomplex and multisymplectic systems

    L Peng, PE Hydon

    arXiv preprint arXiv:2307.13935 2023年07月


    The difference variational bicomplex, which is the natural setting for
    systems of difference equations, is constructed and used to examine the
    geometric and algebraic properties of various systems. Exactness of the
    bicomplex gives a coordinate-free setting for finite difference variational
    problems, Euler--Lagrange equations and Noether's theorem. We also examine the
    connection between the condition for existence of a Hamiltonian and the
    multisymplecticity of systems of partial difference equations. Furthermore, we
    define difference multimomentum maps of multisymplectic systems, which yield
    their conservation laws. To conclude, we demonstrate how multisymplectic
    integrators can be comprehended even on non-uniform meshes through a
    generalized difference variational bicomplex.

  • Some novel physical structures of a (2+1)-dimensional variable-coefficient Korteweg–de Vries system

    Liu Y., Peng L.

    Chaos, Solitons and Fractals (Chaos, Solitons and Fractals)  171 2023年06月

    責任著者, 査読有り,  ISSN  09600779


    In this paper, we study the novel nonlinear wave structures of a (2+1)-dimensional variable-coefficient Korteweg–de Vries (KdV) system by its analytic solutions. Its N-soliton solutions are obtained via Hirota's bilinear method, and in particular, the hybrid solutions of lump, breather and line solitons are derived by the long wave limit method. In addition to soliton solutions, similarity reduction, including similarity solutions (also known as group-invariant solutions) and novel non-autonomous rational third-order Painlevé equations, is achieved through symmetry analysis. The analytic results, together with illustrative wave interactions, show interesting physical features, that may shed some light on the study of other variable-coefficient nonlinear systems.

  • Lagrangian Multiform Theory and Pluri-Lagrangian Systems (23w5043)

    F Nijhoff, L Peng, Y Shi, D Zhang


  • LDA-MIG Detectors for Maritime Targets in Nonhomogeneous Sea Clutter

    X Hua, L Peng, W Liu, Y Cheng, H Wang, H Sun, Z Wang

    IEEE Transactions on Geoscience and Remote Sensing (IEEE Transactions on Geoscience and Remote Sensing)  61 2023年

    査読有り,  ISSN  01962892


    This paper deals with the problem of detecting maritime targets embedded in nonhomogeneous sea clutter, where limited number of secondary data is available due to the heterogeneity of sea clutter. A class of linear discriminant analysis (LDA)-based matrix information geometry (MIG) detectors is proposed in the supervised scenario. As customary, Hermitian positive-definite (HPD) matrices are used to model the observational sample data, and the clutter covariance matrix of received dataset is estimated as geometric mean of the secondary HPD matrices. Given a set of training HPD matrices with class labels, that are elements of a higher-dimensional HPD matrix manifold, the LDA manifold projection learns a mapping from the higher-dimensional HPD matrix manifold to a lower-dimensional one subject to maximum discrimination. In the current study, the LDA manifold projection, with the cost function maximizing between-class distance while minimizing within-class distance, is formulated as an optimization problem in the Stiefel manifold. Four robust LDA-MIG detectors corresponding to different geometric measures are proposed. Numerical results based on both simulated radar clutter with interferences and real IPIX radar data show the advantage of the proposed LDA-MIG detectors against their counterparts without using LDA as well as the state-of-art maritime target detection methods in nonhomogeneous sea clutter.

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研究発表 【 表示 / 非表示

  • Discrete Lagrangian multiforms on the difference variational bicomplex

    Linyu Peng

    BIRS Workshop Lagrangian Multiform Theory and Pluri-Lagrangian Systems, 


  • The modified formal variational formulation for general differential equations and applications


    持続的環境エネルギー社会共創研究機構 研究所間交流会, 


  • Applications of Bures-Wasserstein geometry of HPD matrices to signal detection

    Y. Ono, L. Peng

    10th International Congress on Industrial and Applied Mathematics (ICIAM2023), 


  • A discretization of Dirac structures and Lagrange-Dirac dynamical systems

    H. Yoshimura, L. Peng

    10th International Congress on Industrial and Applied Mathematics (ICIAM2023), 


  • The influence of accuracy of initial values on the discrete energy in variational integrator

    M. Gunji, Y. Ono, L. Peng

    IUTAM Symposium on Nonlinear Dynamics for Design of Mechanical Systems across Different Length/Time Scales (IUTAM2023), 



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競争的研究費の研究課題 【 表示 / 非表示

  • Multisymplectic Geometry and Geometric Numerical Integrator for Variational Problems


    文部科学省・日本学術振興会, 科学研究費助成事業, ペング リニュウ, 若手研究, 補助金,  研究代表者


    Geometric integrator is among one of the most efficient numerical methods for differential equations. In this project, we establish a unified and systematical analogue for understanding both continuous and discrete multisymplectic structures of arbitrary order variational differential equations.

  • 複雑な流体現象のモデリング,マルチスケール構造の解明と数理解析


    文部科学省・日本学術振興会, 科学研究費助成事業, 吉村 浩明、柴田 良弘, 舟木 直久, 小澤 徹, 柳尾 朋洋, 彭 林玉, 基盤研究(B), 補助金,  研究分担者




担当授業科目 【 表示 / 非表示

  • ダイナミカルシステムと安定性


  • 機械工学特別講義


  • 数理科学特別講義第1


  • 機械工学総合実験


  • 非線形ダイナミクス


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所属学協会 【 表示 / 非表示

  • Institute of Electrical and Electronics Engineers, 

  • 日本機械学会, 

  • 日本数学会, 

  • 日本応用数理学会,