Results 131 to 140 of about 7,268 (236)
Parameters Variability Effects on Microstrip Interconnects via Hermite Polynomial Chaos [PDF]
, 2010 Stievano, Igor Simone +5 more
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Numerical Procedures for Random Differential Equations
Journal of Applied Mathematics, 2018 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
, 2009 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
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Polynomial-time sampling despite disorder chaos
CoRRA 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
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Polynomial Chaos Confined to the Unit Circle
, 2018 Polynomial chaos expresses a probability density function (pdf) as a linear combination of basis polynomials. If the density and basis polynomials are over the same field, any set of basis polynomials can describe the pdf; however, the most logical ...
DeMars, Kyle J., Schmid, Christine L.
core
Reliability-Based Robust Design Optimization Using Data-Driven Polynomial Chaos Expansion
MachinesAs 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
A polynomial chaos expansion in dependent random variables
Journal of Mathematical Analysis and Applications, 2018 26 pages, three figures, four tables; accepted by Journal of Mathematical Analysis and Applications.
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Modeling heterogeneity in networks using polynomial chaos
, 2016 © 2016 by Begell House, Inc. Using the dynamics of information propagation on a network as our illustrative example, we present and discuss a systematic approach to quantifying heterogeneity and its propagation that borrows established tools from ...
Tsoumanis, Andreas C. +4 more
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Comments on truncation errors for polynomial chaos expansions
, 2018 Methods based on polynomial chaos expansion allow to approximate the behavior of systems with uncertain parameters by deterministic dynamics. These methods are used in a wide range of applications, spanning from simulation of uncertain systems to ...
Mühlpfordt, Tillmann +3 more
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Polynomial Chaos Based Design of Robust Input Shapers
, 2010 A probabilistic approach, which exploits the domain and distribution of the uncertain model parameters, has been developed for the design of robust input shapers.
Umamaheswara Konda +2 more
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