Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Submit Date
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Article

Conference Object
Normal Approximation for Stochastic Gradient Descent via NonAsymptotic Rates of Martingale CLT
(Proceedings of Machine Learning Research (PMLR), 2019)We provide nonasymptotic convergence rates of the PolyakRuppert averaged stochastic gradient descent (SGD) to a normal random vector for a class of twicedifferentiable test functions. A crucial ...

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Assets of Cyprus households
(2001)

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Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle
(2004)A spectral collocation method with collocation at the Legendre Gauss points is discussed for solving the Helmholtz equation Δu+κ(x,y)u=f(x,y) on a rectangle with the solution u subject to inhomogeneous Robin boundary ...

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Evaluation of the environmental effects of intelligent cruise control vehicles
(2001)Intelligent cruise control (ICC) vehicles are already commercially available in Japan and should be ready for the North American market by next year. Although the controllers are local and string stable, it is not clear ...

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Lie symmetry analysis of a variable coefficient Calogero–Degasperis equation
(2018)We consider a general class of variable coefficient Calogero–Degasperis equations. The complete Lie group classification is performed with the aid of the appropriate equivalence group. Lie symmetries are used to derive a ...

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Lie symmetries of a system arising in plasma physics
(2018)Lie group classification for a diffusiontype system that has applications in plasma physics is derived. The classification depends on the values of 5 parameters that appear in the system. Similarity reductions are presented. ...

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Lie symmetry analysis of Burgerstype systems
(2018)Lie group classification for 2 Burgerstype systems is obtained. Systems contain 2 arbitrary elements that depend on the 2 dependent variables. Equivalence transformations for the systems are derived. Examples of nonclassical ...

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The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering
(2018)We employ the method of fundamental solutions (MFS) for detecting a scatterer surrounding a host acoustic homogeneous medium D due to a given point source inside it. On the boundary of the unknown scatterer (assumed to be ...

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Random spectral measure for non Gaussian moving averages
(2018)We study the distribution of phases and amplitudes for the spectral representation of weighted moving averages of a general noise measure. The simple independent structure, known for the Gaussian case, and involving Rayleigh ...

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Extending the Range of Validity of the Autoregressive (Sieve) Bootstrap
(2018)Two modifications of the autoregressive‐sieve and of the autoregressive bootstrap are proposed. The first modification replaces the classical i.i.d. resampling scheme applied to the residuals of the autoregressive fit by ...

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Reconstruction of an elliptical inclusion in the inverse conductivity problem
(2018)This study reports on a numerical investigation into the open problem of the unique reconstruction of an elliptical inclusion in the potential field from a single set of nontrivial Cauchy data. The investigation is based ...

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Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems
(2019)We apply a variable shape parameter Kansa–radial basis function (RBF) collocation method for the numerical solution of second and fourth order nonlinear boundary value problems in two dimensions. In the current approach, ...

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On Generalized Stieltjes Functions
(2019)It is shown that a function f is a generalized Stieltjes function of order $$\lambda >0$$λ>0if and only if $$x^{1\lambda }(x^{\lambda 1+k}f(x))^{(k)}$$x1λ(xλ1+kf(x))(k)is completely monotonic for all $$k\ge 0$$k≥0, ...

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The Brauer–Manin Obstruction for ZeroCycles on $K3$ Surfaces
(2019)Abstract. We study local–global principles for zerocycles on $K3$ surfaces defined over number fields. We follow an idea of Liang to use the trivial fibration

Conference Object
Mapping of data obtained on driving simulator to reality based on simulator validation results (WIP)
(The Society for Modeling and Simulation International, 2014)The use of a driving simulator can be preferable to onroad experiments for costefficient rapid prototype testing or dangerous driving scenario evaluations. However, the mismatch of the simulator and the actual driving ...

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Estimated Wold representation and spectraldensitydriven bootstrap for time series
(2018)The secondorder dependence structure of purely nondeterministic stationary processes is described by the coefficients of the famous Wold representation. These coefficients can be obtained by factorizing the spectral ...

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Mixture of Truthful–Untruthful Responses in Public Surveys
(2019)When sensitive issues are surveyed, collecting truthful data and obtaining reliable estimates of population parameters is a persistent problem in many fields of applied research mostly in sociological, economic, demographic, ...

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A Frequency Domain Bootstrap for General Stationary Processes
(2018)Existing frequency domain methods for bootstrapping time series have a limited range. Consider for instance the class of spectral mean statistics (also called integrated periodograms) which includes many important statistics ...