A general frame for uncertainty propagation under multimodally distributed random variables
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Publication:2186867
DOI10.1016/j.cma.2020.113109zbMath1442.60027OpenAlexW3026860111MaRDI QIDQ2186867
Jie Liu, Dongmin Yang, Xiang-Hua Meng, Lixiong Cao, ZhongBo Yu
Publication date: 10 June 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2020.113109
polynomial chaos expansionuncertainty propagationmultimodal distributionprobability mixture modelpseudo EM method
Point estimation (62F10) Applications of statistics in engineering and industry; control charts (62P30) Probability distributions: general theory (60E05)
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Uses Software
Cites Work
- Unnamed Item
- Statistical guarantees for the EM algorithm: from population to sample-based analysis
- Non-probabilistic convex model process: a new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems
- Suboptimal Kronrod extension formulae for numerical quadrature
- Formulation of the thermal problem
- Uncertainty propagation of p-boxes using sparse polynomial chaos expansions
- Reliability-based structural optimization using neural networks and Monte Carlo simulation
- Sensitivity and uncertainty analysis for flexoelectric nanostructures
- Multiscale reliability-based topology optimization methodology for truss-like microstructures with unknown-but-bounded uncertainties
- An efficient epistemic uncertainty analysis method using evidence theory
- New target performance approach for a super parametric convex model of non-probabilistic reliability-based design optimization
- Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions
- Adaptive conjugate single-loop method for efficient reliability-based design and topology optimization
- Uncertainty quantification for Maxwell's eigenproblem based on isogeometric analysis and mode tracking
- Parallelotope-formed evidence theory model for quantifying uncertainties with correlation
- A novel experimental data-driven exponential convex model for reliability assessment with uncertain-but-bounded parameters
- Fuzzy uncertainty propagation in composites using Gram-Schmidt polynomial chaos expansion
- An improved multidimensional parallelepiped non-probabilistic model for structural uncertainty analysis
- Super parametric convex model and its application for non-probabilistic reliability-based design optimization
- A new measurement for structural uncertainty propagation based on pseudo-probability distribution
- Stochastic finite element analysis of composite structures based on mesoscale random fields of material properties
- A novel method of non-probabilistic reliability-based topology optimization corresponding to continuum structures with unknown but bounded uncertainties
- A hybrid sequential approximate programming method for second-order reliability-based design optimization approach
- CHIME: clustering of high-dimensional Gaussian mixtures with EM algorithm and its optimality
- Second-order reliability method-based inverse reliability analysis using Hessian update for accurate and efficient reliability-based design optimization
- Mixture Densities, Maximum Likelihood and the EM Algorithm
- Strategy for selecting representative pointsviatangent spheres in the probability density evolution method
- The relativistic Hermite polynomial is a Gegenbauer polynomial
- Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization
- Robust shape and topology optimization considering geometric uncertainties with stochastic level set perturbation
- Taylor series expansion approach for epistemic uncertainty propagation in queueing‐inventory models
- Information entropy of Gegenbauer polynomials and Gaussian quadrature
- Bayesian Model and Dimension Reduction for Uncertainty Propagation: Applications in Random Media
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