Polynomial Chaos
Uncertainty through Polynomial Chaos in the EEG Problem
... Abstract—A sensitivity and correlation analysis of EEG sensors influenced by uncertain conductivity is conducted. We assume a three layer spherical head model with different and random layer conductivities. This ...
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An accuracy comparison of polynomial chaos type methods for the propagation of uncertainties
... the Polynomial Chaos Expansion for the treatment of uncertainties in industrial ...of Polynomial Chaos type methods for the propagation of uncertainties in nonlinear problems and verify them ...
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Towards predictive data-driven simulations of wildfire spread – Part I: Reduced-cost Ensemble Kalman Filter based on a Polynomial Chaos surrogate model for parameter estimation
... Abstract. This paper is the first part in a series of two articles and presents a data-driven wildfire simulator for forecasting wildfire spread scenarios, at a reduced computational cost that is consistent with ...
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Polynomial chaos to efficiently compute the annual energy production in wind farm layout optimization
... the polynomial chaos based on quadrature, the quadrature points are the numerically generated Gaussian quadrature points for the ...and polynomial chaos based on quadrature, the wind speed ...
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Bayesian inference of earthquake rupture models using polynomial chaos expansion
... Abstract. In this paper, we employed polynomial chaos (PC) expansions to understand earthquake rupture model re- sponses to random fault plane properties. A sensitivity anal- ysis based on our PC surrogate ...
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Uncertain Volatility Derivative Model Based on the Polynomial Chaos
... generalized polynomial chaos was used to develop an algorithm of uncertainty propagation solving finally a deterministic problem for the derivative ...
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Uncertainty Quantification of Radio Propagation Using Polynomial Chaos
... The idea of incorporating and quantifying uncertainty in our analysis is nontrivial in practice since we, in general, require efficient ways of calculating and evaluating uncertainties. When it comes to uncertainties in, ...
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SENSIBILITY ANALYSIS USING POLYNOMIAL CHAOS: APPLICATIONS
... In this paper, we present robustness analysis of Control Systems by means of the Polynomial Chaos Method (PCM). We also present two examples of applications: 1) robustness analysis of a multivariable linear ...
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Quantum Wiener chaos
... The first appearance of polynomial chaos dates back to the 1938 paper of Norbert Wiener [82]. Its interpretation as multiple Wiener integrals and its applications outside of Brownian motion are due to Itô ...
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COMPONENT MODE SYNTHESIS AND CHAOS POLYNOMIAL EXPANSION FOR DYNAMIC ANALYSIS OF NON LINEAR LARGE STRUCTURE WITH UNCERTAIN PARAMETERS
... a polynomial chaos expansion to calculate the frequency transfer functions and response temporal for linear stochastic ...a polynomial chaos ...
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A Micromixer Using the Chaos of Secondary Flow: Rotation Effect of Channel on the Chaos of Secondary Flow
... In the case for Tr = 3 and De = 0.3, there exists very small area of concentration of 0% glycerol aqueous solution or 100 % glycerol aqueous solution including rhodamine B where two flui[r] ...
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Equivalence of Polynomial Identity Testing and Deterministic Multivariate Polynomial Factorization
... of polynomial identity testing (that we discuss below), it is a long standing open question whether there is an efficient deterministic algorithm for factoring multivariate polynomials (see [GG99, ...
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Polynomial Factorization *
... When the problem size may depend on the number of variables, a key issue is the repre- sentation of the input polynomials and their irreducible factors. For example, a classical such problem, Frobenius’s (1896) original ...
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Complex modified generalized projective synchronization of fractional order complex chaos and real chaos
... of synchronization, called modified generalized projective synchronization with complex transformation matrix (CMGPS). By means of the complex state transformation matrix, every state variable in the response system will ...
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Is there chaos in Copenhagen problem?
... In this paper we have done a brief analysis of the classical Copenhagen problem, a particular case of the restricted three body problem, using some state-of-the-art numerical techniques. The OFLI2 has permitted to locate ...
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Chaos and the stock market
... Peters used the mean orbital period of the stock market. 17.[r] ...
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The Chinese Chaos Game
... The yuan’s revaluation of 2005 was not the first big episode of foreign exchange intervention (Figure 2). However, the last revaluation brought a fundamental change. Prior to the revaluation, a mix of intervention and ...
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Income Inequality Generates Chaos
... becomes chaos if 1) the capital gain of the middle class people is large enough for them to consume eight times as much as their income gain and 2) market for the middle class people is large enough number of the ...
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Chaos CDSK Communication System
... of chaos communication system is ...new chaos map that has better BER performance than existing ...of chaos system with Boss map has better than with Tent map which improves BER of CDSK communication ...
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Quasiperiodicity and chaos in cardiac fibrillation
... to chaos have been de- scribed, such as torus breakdown and torus ...spatiotemporal chaos in excitable media, the quasiperiodic transition to chaos often takes place via a route that involves the ...
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