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A novel maximum entropy method based on the B-spline theory and the low-discrepancy sequence for complex probability distribution reconstruction
16 references·5 citing·41 second hop
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Analysis by Dimen…Reliability of structures in high dimensions, part I: algorithms and applications (2004)Reliability of structures in …A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)A univariate dimension-reduct…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Structural reliability analysis based on fractional moments-based iterative maximum entropy method and multiplicative exact dimension reduction integration method (2025)Structural reliability analys…A new fully decoupled strategy for reliability optimization based on adaptive Kriging with improved efficient global optimization and weighted K-means clustering (2025)A new fully decoupled strateg…On fractional moment estimation from polynomial chaos expansion (2024)On fractional moment estimati…A smart system of Mass Personalization Product Service System (MP-PSS) driven by industrial modular configuration (2024)A smart system of Mass Person…A novel deterministic sampling approach for the reliability analysis of high-dimensional structures (2024)A novel deterministic samplin…Exact and Invariant Second-Moment Code Format (1974)Structural reliability under combined random load sequences (1978)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Chaos control for numerical instability of first order reliability method (2009)A Maximum Confidence Enhancement Based Sequential Sampling Scheme for Simulation-Based Design (2013)A new directional stability transformation method of chaos control for first order reliability analysis (2016)Structural Reliability Methods (1996)Kriging metamodeling in simulation: A review (2007)A hybrid relaxed first-order reliability method for efficient structural reliability analysis (2017)A general failure-pursuing sampling framework for surrogate-based reliability analysis (2018)AKOIS: An adaptive Kriging oriented 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References

  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 2015A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters410 cited
  • 2004Reliability of structures in high dimensions, part I: algorithms and applications370 cited
  • 2013Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method309 cited
  • 2008Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis179 cited
  • 2014An efficient reliability method combining adaptive importance sampling and Kriging metamodel162 cited
  • 2005Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations161 cited
  • 2007Partition of the probability-assigned space in probability density evolution analysis of nonlinear stochastic structures138 cited
  • 2019A novel fractional moments-based maximum entropy method for high-dimensional reliability analysis115 cited
  • 2018Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions

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95 cited
  • 2019System reliability analysis by combining structure function and active learning kriging model88 cited
  • 2018New target performance approach for a super parametric convex model of non-probabilistic reliability-based design optimization87 cited
  • 2020On reliability analysis method through rotational sparse grid nodes75 cited
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    • 2025Structural reliability analysis based on fractional moments-based iterative maximum entropy method and multiplicative exact dimension reduction integration method14 cited
    • 2024On fractional moment estimation from polynomial chaos expansion14 cited
    • 2024A smart system of Mass Personalization Product Service System (MP-PSS) driven by industrial modular configuration12 cited
    • 2025A new fully decoupled strategy for reliability optimization based on adaptive Kriging with improved efficient global optimization and weighted K-means clustering12 cited