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Normal Approximation for Stochastic Gradient Descent via Non-Asymptotic Rates of Martingale CLT
(Proceedings of Machine Learning Research (PMLR), 2019)
We provide non-asymptotic convergence rates of the Polyak-Ruppert averaged stochastic gradient descent (SGD) to a normal random vector for a class of twice-differentiable test functions. A crucial ...
Assets of Cyprus households
(2001)
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 ...
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 ...
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 ...
Lie symmetries of a system arising in plasma physics
(2018)
Lie group classification for a diffusion-type 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. ...
Lie symmetry analysis of Burgers-type systems
(2018)
Lie group classification for 2 Burgers-type 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 ...
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 ...