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Meng-Ze Lyu

Tongji University

1239 Siping Road

Shanghai, 200092

China

SCHOLARLY PAPERS

7

DOWNLOADS

495

TOTAL CITATIONS

1

Scholarly Papers (7)

1.

Joint Probabilistic Modelling and Sampling from Small Data Via Probabilistic Learning on Manifolds and Decoupled Multi-Probability Density Evolution Method

Number of pages: 32 Posted: 16 Mar 2024
Northwestern Polytechnic University (NPU), Tongji University, Hefei University of Technology, Nanjing Tech University, Tongji University and University of Southern California
Downloads 104 (679,608)

Abstract:

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Uncertainty Quantification, Joint probabilistic modelling, Probabilistic learning on manifolds(PLoM), Probability density evolution method (PDEM)

2.

Quantifying the Impact of Coupled Particle-Scale Uncertainty on the Behavior of Granular Soils: A Micromechanical Study

Number of pages: 45 Posted: 16 Feb 2025
deyun liu, Meng-Ze Lyu and Jidong Zhao
Hong Kong Polytechnic University, Tongji University and Hong Kong University of Science & Technology (HKUST)
Downloads 102 (679,608)

Abstract:

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Stochastic discrete element method (DEM), Uncertainty quantification, Granular Material, Soil behavior, Probabilistic dependence, Decoupled multi-probability density evolution method (M-PDEM)

3.

Dimension-Reduced Chapman-Kolmogorov Equation for High-Dimensional Stochastic Dynamical Systems

Number of pages: 37 Posted: 01 Jul 2025
Jianbing Chen, Meng-Ze Lyu and Shenghan Zhang
Tongji University, Tongji University and Hong Kong University of Science & Technology (HKUST)
Downloads 74 (860,052)

Abstract:

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High-dimensional stochastic dynamic system, Chapman-Kolmogorov equation, Dimension reduction, Intrinsic transition probability density (TPD), Transient probability density function (PDF).

4.

Full-Probabilistic Reconstruction of Unobserved System States Under Incomplete Observations: A Decoupled Density Evolution Perspective

Number of pages: 38 Posted: 06 Aug 2025
Meng-Ze Lyu, Shenghan Zhang, Jianbing Chen and Jie Li
Tongji University, Hong Kong University of Science & Technology (HKUST), Tongji University and Tongji University
Downloads 67 (916,100)

Abstract:

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Full-probabilistic information reconstruction, Unobserved response prediction, Decoupled multi-probability density evolution method (M-PDEM), High-dimensional stochastic dynamics, Conditional probability distribution.

5.

State Space Kriging Model for Emulating Complex Nonlinear Dynamical Systems Under Stochastic Excitation

Number of pages: 36 Posted: 10 Sep 2024
Technical University of Munich, Technische Universität München (TUM) - Engineering Risk Analysis Group, Tongji University and affiliation not provided to SSRN
Downloads 64 (924,743)
Citation 1

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Stochastic dynamical system, Surrogate model, Active learning, Gaussian process, Sparse learning

6.

State Space Kriging Model for Emulating Nonlinear Stochastic Dynamical Systems with System Parameter Uncertainty

Number of pages: 40 Posted: 10 Jul 2025
Technical University of Munich, Technische Universität München (TUM) - Engineering Risk Analysis Group, Tongji University and affiliation not provided to SSRN
Downloads 57 (989,921)

Abstract:

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Nonlinear stochastic dynamical systems, Surrogate model, Uncertain system parameters, Stochastic excitation

7.

Probability-compatible modeling and efficient stochastic harmonic function representation of three-dimensional multivariate non-Gaussian random fields with nonlinear dependences

Number of pages: 29 Posted: 14 Apr 2026
Leibniz Universität Hannover, Leibniz Universität Hannover, Zhengzhou University, Tongji University and Leibniz University Hannover
Downloads 27 (1,399,036)

Abstract:

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Three-dimensional (3D) multivariate non-Gaussian random fields, Nonlinear dependencies, Probabilistic-compatible modeling, Stochastic harmonic function, Vine copulas, Concrete stochastic damage.