Buckling Sensitivity of Tow-Steered Plates Subjected to Multiscale Defects by High-Order Finite Elements and Polynomial Chaos Expansion. [PDF]
Sanchez-Majano AR +3 more
europepmc +1 more source
Multivariate Local Polynomial Regression with Application to Shenzhen Component Index
This study attempts to characterize and predict stock index series in Shenzhen stock market using the concepts of multivariate local polynomial regression.
Liyun Su
doaj +1 more source
Numerical Procedures for Random Differential Equations
Some methodological approaches based on generalized polynomial chaos for linear differential equations with random parameters following various types of distribution laws are proposed.
Mohamed Ben Said +2 more
doaj +1 more source
A Polynomial Chaos Approach to Robust Multiobjective Optimization
Robust design optimization is a modeling methodology, combined with a suite of computational tools, which is aimed to solve problems where some kind of uncertainty occurs in the data or in the model. This paper explores robust optimization complexity in the multiobjective case, describing a new approach by means of Polynomial Chaos expansions (PCE ...
Poles, Silvia, Lovison, Alberto
openaire +4 more sources
Reliability-Based Robust Design Optimization Using Data-Driven Polynomial Chaos Expansion
As the complexity of modern engineering systems continues to increase, traditional reliability analysis methods still face challenges regarding computational efficiency and reliability in scenarios where the distribution information of random variables ...
Zhaowang Li +3 more
doaj +1 more source
Polynomial-time sampling despite disorder chaos
A distribution over instances of a sampling problem is said to exhibit transport disorder chaos if perturbing the instance by a small amount of random noise dramatically changes the stationary distribution (in Wasserstein distance). Seeking to provide evidence that some sampling tasks are hard on average, a recent line of work has demonstrated that ...
Eric Ma, Tselil Schramm
openaire +2 more sources
Reliability-Based Design Optimization Applied to a Rotor Supported by Hydrodynamic Bearings
Rotating machines are an important part of industrial equipment. It is essential to improve their performance while reducing the manufacturing, operating, and maintenance costs.
Helio Fiori de Castro +2 more
doaj +1 more source
A polynomial chaos expansion in dependent random variables
26 pages, three figures, four tables; accepted by Journal of Mathematical Analysis and Applications.
openaire +3 more sources
Analysis of the Stochastic Quarter-Five Spot Problem Using Polynomial Chaos. [PDF]
AbdelFattah H +2 more
europepmc +1 more source
Efficient sampling for polynomial chaos-based uncertainty quantification and sensitivity analysis using weighted approximate Fekete points. [PDF]
Burk KM, Narayan A, Orr JA.
europepmc +1 more source

