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Joint probabilistic modelling and sampling from small data via probabilistic learning on manifolds and decoupled multi-probability density evolution method
16 references·1 citing·38 second hop
Joint probabilistic modelling and sampling from small data via probabilistic learning on manifolds and decoupled multi-probability density evolution method (2025)Joint probabilistic modelling and samplin…A decoupled approach for determination of the joint probability density function of a high-dimensional nonlinear stochastic dynamical system via the probability density evolution method (2023)A decoupled approach for dete…A unified formalism of the GE-GDEE for generic continuous responses and first-passage reliability analysis of multi-dimensional nonlinear systems subjected to non-white-noise excitations (2022)A unified formalism of the GE…Copula-Based Quantification of Probabilistic Dependence Configurations of Material Parameters in Damage Constitutive Modeling of Concrete (2020)Copula-Based Quantification o…An efficient new PDEM-COM based approach for time-variant reliability assessment of structures with monotonically deteriorating materials (2019)An efficient new PDEM-COM bas…A compatible probabilistic framework for quantification of simultaneous aleatory and epistemic uncertainty of basic parameters of structures by synthesizing the change of measure and change of random variables (2019)A compatible probabilistic fr…Modeling multivariate ocean data using asymmetric copulas (2018)Modeling multivariate ocean d…Handbook of Uncertainty Quantification (2017)Handbook of Uncertainty Quant…Dependence Modeling with Copulas (2014)Dependence Modeling with Copu…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…Probability concepts in engineering: emphasis on applications to civil and environmental engineering (2008)Probability concepts in engin…Aleatory or epistemic? Does it matter? (2008)Aleatory or epistemic? Does i…Partition of the probability-assigned space in probability density evolution analysis of nonlinear stochastic structures (2007)Partition of the probability-…The principle of preservation of probability and the generalized density evolution equation (2006)The principle of preservation…The equivalent extreme-value event and evaluation of the structural system reliability (2006)The equivalent extreme-value …Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Probability density evolution…Probability, Statistics and Decision for Civil Engineers. (1971)Probability, Statistics and D…A novel model and simulation method for multivariate Gaussian fields involving nonlinear probabilistic dependencies and different variable-wise spatial variabilities (2025)A novel model and simulation …The stochastic finite-element method (1980)Neumann Expansion for Stochastic Finite Element Analysis (1988)A state-of-the-art report on computational stochastic mechanics (1997)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)Advances of the probability density evolution method for nonlinear stochastic systems (2011)Exact and Invariant Second-Moment Code Format (1974)Method for Random Vibration of Hysteretic Systems (1976)Structural Reliability Methods (1996)A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Stochastic Finite Elements: A Spectral Approach (1991)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Probability density evolution analysis of engineering structures via cubature points (2012)An efficient reliability method combining adaptive global metamodel and probability density evolution method (2019)Reliability analysis using adaptive Polynomial-Chaos Kriging and probability density evolution method (2021)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)Probability density evolution method: Background, significance and recent developments (2015)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)The Logic of Scientific Discovery. (1960)Logic of Scientific Discovery, The (2010)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Imprecise probabilities in engineering analyses (2013)Variable importance analysis: A comprehensive review (2015)Life-cycle performance, management, and optimisation of structural systems under uncertainty: accomplishments and challenges (2010)A comparison of deterministic, reliability-based and risk-based structural optimization under uncertainty (2011)Sensitivity estimation of failure probability applying line sampling (2017)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)A multivariate copula‐based framework for dealing with hazard scenarios and failure probabilities (2016)Gold and crude oil as safe-haven assets for clean energy stock indices: Blended copulas approach (2019)A review and assessment of importance sampling methods for reliability analysis (2022)The variogram sill and the sample variance (1991)Decision making with imprecise probabilities: Dempster‐Shafer Theory and application (1992)Bayesian Updating with Structural Reliability Methods (2014)A global surrogate model technique based on principal component analysis and Kriging for uncertainty propagation of dynamic systems (2020)A Tutorial on Sobol’ Global Sensitivity Analysis Applied to Biological Models (2020)Modeling, analysis, and optimization under uncertainties: a review (2021)
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References

  • 2008Aleatory or epistemic? Does it matter?2,450 cited
  • 2014Dependence Modeling with Copulas1,564 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 1971Probability, Statistics and Decision for Civil Engineers.723 cited
  • 2008Probability concepts in engineering: emphasis on applications to civil and environmental engineering681 cited
  • 2006The principle of preservation of probability and the generalized density evolution equation517 cited
  • 2006The equivalent extreme-value event and evaluation of the structural system reliability447 cited
  • 2004Probability density evolution method for dynamic response analysis of structures with uncertain parameters368 cited
  • 2017Handbook of Uncertainty Quantification329 cited
  • 2007Partition of the probability-assigned space in probability density evolution analysis of nonlinear stochastic structures138 cited
  • 2018Modeling multivariate ocean data using asymmetric copulas107 cited
  • 2022A unified formalism of the GE-GDEE for generic continuous responses and first-passage reliability analysis of multi-dimensional nonlinear systems subjected to non-white-noise excitations88 cited
  • 2019A compatible probabilistic framework for quantification of simultaneous aleatory and epistemic uncertainty of basic parameters of structures by synthesizing the change of measure and change of random variables75 cited

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2023
A decoupled approach for determination of the joint probability density function of a high-dimensional nonlinear stochastic dynamical system via the probability density evolution method
71 cited
  • 2020Copula-Based Quantification of Probabilistic Dependence Configurations of Material Parameters in Damage Constitutive Modeling of Concrete60 cited
  • 2019An efficient new PDEM-COM based approach for time-variant reliability assessment of structures with monotonically deteriorating materials53 cited
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    • 2025A novel model and simulation method for multivariate Gaussian fields involving nonlinear probabilistic dependencies and different variable-wise spatial variabilities11 cited