Existence of critical renormalization group trajectory for a hierarchical Ising model in 4 dimensions is shown. After 70 iterations of renormalization group transformations, the critical Ising model is mapped into a vicinity of the Gaussian xed point. Convergence of the subsequent trajectory to the Gaussian xed point is shown by power decay of the eeective coupling constant. The analysis in the...

It is well known that queues with exponentially distributed service time have the smallest Shannon capacity among all single-server queues with the same service rate. However, the capacity of other service disiplines such as Gaussian service timing channels (GSTC) remains unknown. In this paper, we outline a preliminary investigation into timing channel capacity, when the service distributions ...

The dynamic evolutions of full Gaussian and particularly the truncated Gaussian pulses in dispersive Lorentz media are studied numerically in detail. The observed qualitative phenomena lead to revised interpretation regarding both Sommerfeld and Brillouin precursors. Neither strict Sommerfeld nor Brillouin precursor is present for the case of an incident full Gaussian pulse for any finite propa...

This letter aims at refined error analysis for binary classification using support vector machine (SVM) with gaussian kernel and convex loss. Our first result shows that for some loss functions, such as the truncated quadratic loss and quadratic loss, SVM with gaussian kernel can reach the almost optimal learning rate provided the regression function is smooth. Our second result shows that for ...

A free-space optical communication system using non-mode-selective photonic lantern (PL) based coherent receiver is studied. Based on the simulation of photon distribution, power distribution at single-mode fiber end PL quantitatively described as a truncated Gaussian over simplex. The signal-to-noise ratios (SNRs), bit-error rate (BER), and outage probability selection combining (SC), equal-ga...

In this paper a novel and the new method for face recognition is developed and analyzed using doubly truncated multivariate Gaussian mixture model. The 2D DCT coefficients as the feature vector of the each individual face is modelled by k component mixture of doubly truncated multivariate Gaussian distribution. The number of components and initialization of the model parameter’s are obtained by...

Here, we examine the suitability of truncated Polynomial Chaos Expansions (PCE) and truncated GramCharlier Expansions (GrChE) as possible methods for uncertainty quantification (UQ) in nonlinear systems with intermittency and positive Lyapunov exponents. These two methods rely on truncated Galerkin projections of either the system variables in a fixed polynomial basis spanning the ‘uncertain’ s...

The paper introduces a new non-Gaussian simulation method that matches a target power spectrum and probability information. Numerical studies demonstrate applicability, convergence, and stationary properties. The method is shown to encompass a larger envelope of spectral/probabilistic descriptions than correlation distortion based methods. Specifically, the method is not constrained to relative...

This paper delivers a probabilistic attempt to prove that the selection of random three-dimensional finite element (FE) model subsoil affects computed settlements. Parametric analysis soil block is conducted, assuming variable Young’s modulus in particular elements. The represented by field or different-sized sets variables; both cases, same truncated Gaussian assumed. Mean values and standard ...

This paper proposes a hybrid method to find cumulative distribution function (CDF) of completion time of GERT-type networks (GTN) which have no loop and have only exclusive-or nodes. Proposed method is cre-ated by combining an analytical transformation with Gaussian quadrature formula. Also the combined crude Monte Carlo simulation and combined conditional Monte Carlo simulation are developed a...