Results 51 to 60 of about 53,557 (225)
Recent advances in polynomial chaos method for uncertainty propagation
Zhongguo Jianchuan Yanjiu, 2021 Uncertainty exists widely in engineering design. As one of the key components of engineering design, uncertainty propagation and quantification has always been an important research topic.
Fenfen XIONG +4 more
doaj +1 more source
Stability for Receding-horizon Stochastic Model Predictive Control [PDF]
, 2015 A stochastic model predictive control (SMPC) approach is presented for discrete-time linear systems with arbitrary time-invariant probabilistic uncertainties and additive Gaussian process noise.
Mesbah, Ali +2 more
core +1 more source
Tail and moment estimates for chaoses generated by symmetric random variables with logarithmically concave tails [PDF]
, 2010 We present two-sided estimates of moments and tails of polynomial chaoses of order at most three generated by independent symmetric random variables with log-concave tails as well as for chaoses of arbitrary order generated by independent symmetric ...
Adamczak, Radosław, Latała, Rafał
core +2 more sources
Limitations of polynomial chaos expansions in the Bayesian solution of inverse problems
, 2014 Polynomial chaos expansions are used to reduce the computational cost in the Bayesian solutions of inverse problems by creating a surrogate posterior that can be evaluated inexpensively.
Chorin, Alexandre J. +3 more
core +1 more source
, 2015 We apply the Tensor Train (TT) decomposition to construct the tensor product Polynomial Chaos Expansion (PCE) of a random field, to solve the stochastic elliptic diffusion PDE with the stochastic Galerkin discretization, and to compute some quantities of
Dolgov, Sergey +3 more
core +1 more source
Polynomial Chaos Helps Assessing Parameters Variations of PCB Lines [PDF]
, 2011 This paper presents an effective solution for the analysis of long PCB interconnects with the inclusion of uncertainties resulting from different sources of variation, like temperature or fabrication process, on both the structure and loading conditions.
Canavero, Flavio +2 more
core +1 more source
Extending Polynomial Chaos to Include Interval Analysis [PDF]
IEEE Transactions on Instrumentation and Measurement, 2008 Polynomial chaos theory (PCT) has been proven to be an efficient and effective way to represent and propagate uncertainty through system models and algorithms in general. In particular, PCT is a computationally efficient way to analyze and solve dynamic models under uncertainty. This paper presents a new way to use a polynomial expansion to incorporate
A. Monti, F. Ponci, M. Valtorta
openaire +1 more source
Advanced Electronic Materials, EarlyView.Physical reservoir computing (PRC) based on spin wave interference has demonstrated high computational performance, yet room for improvement remains. In this study, we fabricated this concept PRC with eight detectors and evaluated the impact of the number of detectors using a chaotic time series prediction task.
Sota Hikasa +6 more
wiley +1 more source
Yield-Constrained Optimization Design Using Polynomial Chaos for Microwave Filters
IEEE Access, 2021 Yield optimization aims at finding microwave filter designs with high yield under fabrication tolerance. The electromagnetic (EM) simulation-based yield optimization methods are computationally expensive because a large number of EM simulations is ...
Zhen Zhang +4 more
doaj +1 more source
Decoupling Inequalities for Polynomial Chaos
The Annals of Probability, 1987 Let \(X,X_ 1,...,X_ d\) be a sequence of independent, symmetric, identically distributed random vectors with independent components. The main subject of this paper is the so-called decoupling inequalities, i.e., inequalities of the form \[ E\phi (cQ(X,X,...,X))\leq E\phi (Q(X_ 1,X_ 2,...,X_ d))\leq E\phi (CQ(X,X,...,X)), \] where Q is a symmetric ...
openaire +2 more sources