Wu and Varadharajan [Computers and Electrical Engineering 25(4) 1999] proposed a fast public key escrow scheme. The security of this system is based on a special class of trapdoor Boolean permutations that can be constructed efficiently. In this paper, we show that this proposed class of Boolean permutations can be easily inverted without the knowledge of the secret key parameters. This allows ...

Here W is in the Whittaker model W(π, ψ) of a unitary generic representation π of GL(n, F) and W ′ in W(π ′, ψ) where π ′ is a unitary generic representation of GL(n − 1, F) (see below for unexplained notations). One of the difficulties of the theory is that the representations π and π ′ need not be tempered. Thus one is led to consider holomorphic fiber bundles of representations (πu) and (π ′...

In this paper, the non-linear dynamic response of rectangular atomic force microscopy in tapping mode is considered. The effect of cantilever’s geometrical parameters (e.g., cantilever length, width, thickness, tip length and the angle between the cantilever and the sample's surface in liquid environment has been studied by taking into account the interaction forces. Results indicate that the r...

Sensitivity analysis (SA) can aid in identifying influential model parameters and optimizing model structure, yet infectious disease modelling has yet to adopt advanced SA techniques that are capable of providing considerable insights over traditional methods. We investigate five global SA methods-scatter plots, the Morris and Sobol' methods, Latin hypercube sampling-partial rank correlation co...

This paper presents a parallelized Quasi-Monte Carlo algorithm for the extraction of partial inductances in IC interconnect structures. Quasi-random numbers provide superior convergence over pseudo-random numbers, and in this paper the results are presented for three quasi-random number sequences-Halton, Sobol and Niderreiter. The algorithm has been parallelized and an almost linear rate of par...

We present an asynchronous algorithm based on Quasi-Monte Carlo methods for the computation of multivari-ate integrals. Randomized Korobov and Richtmyer sequences are applied for problems of moderately high to high dimensions. We propose the use of Sobol rules in those dimensions where the integrand shows particular singular behavior. Timing results on MPI yield good speedup.

Abstract The Variogram Analysis of Response Surfaces (VARS) has been proposed by Razavi and Gupta as a new comprehensive framework in sensitivity analysis. According to these authors, VARS provides more intuitive notion is much computationally efficient than Sobol’ indices. Here we review arguments critically compare the performance VARS-TO, for total-order index, against Jansen estimator. We a...

This paper shows how to obtain in addition the standard deviations available after a data assimilation procedure based on ensemble Kalman filter, an apportioning of total uncertainty outputs patient-specific blood flow model into small portions due input parameters. Statistical indicators generally used for identifying importance numerical parameters, namely Sobol' first order and indices, are ...