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Mathematics & Statistics

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Displaying 376 - 400 of 872

Improved Indifferentiability Security Bound for the JH Mode

February 15, 2015

Author(s)

Dustin Moody, Daniel C. Smith-Tone, Souradyuti Paul

Indifferentiability security of a hash mode of operation guarantees the mode's resistance against all generic attacks. It is also useful to establish the security of protocols that use hash functions as random functions. The JH hash function was one of the

NEURBT: A Program for Computing Neural Networks for Classification using Batch Learning

February 15, 2015

Author(s)

Javier Bernal

NEURBT, a Fortran 77 program for computing neural networks for classification using batch learning, is discussed. NEURBT is based on Mφller's scaled conjugate gradient algorithm which is a variation of the traditional conjugate gradient method, better

Randomized methods for rank-deficient linear systems

February 13, 2015

Author(s)

Josef Sifuentes, Zydrunas Gimbutas, Leslie Greengard

We present a simple, accurate method for solving consistent, rank-deficient linear systems, with or without additional rank-completing constraints. Such problems arise in a variety of applications, such as the computation of the eigenvectors of a matrix

Report on Pairing-based Cryptography

February 3, 2015

Author(s)

Dustin Moody, Rene C. Peralta, Ray A. Perlner, Andrew R. Regenscheid, Allen L. Roginsky, Lidong Chen

This report summarizes study results on pairing-based cryptography. The main purpose of the study is to form NISTs position on standardizing and recommending pairing-based cryptography schemes currently published in research literature and standardized in

A Dual Representation Simulated Annealing Algorithm for the Bandwidth Minimization Problem on Graphs

January 16, 2015

Author(s)

Jose Torres Jimenez, Javier Bernal, Raghu N. Kacker

The bandwidth minimization problem on graphs (BMPG) consists of labeling the vertices of a graph with the integers from 1 to $n$ ($n$ is the number of vertices) such that the maximum absolute difference between labels of adjacent vertices is as small as

Recovery of background structures in nanoscale Helium Ion Microscope imaging, and the use of progressive fractional diffusion smoothing.

December 31, 2014

Author(s)

Andras Vladar

This paper discusses a two step enhancement technique applicable to noisy Helium Ion Microscope images in which background structures are not easily discernible due to a weak signal. The method is based on a preliminary adaptive histogram equalization

Adaptive Restructuring of Radial Basis Functions Using Integrate-and-Fire Neurons

December 6, 2014

Author(s)

Jeremy A. Marvel

This paper proposes a neurobiology-based extension of integrate-and-fire models of Radial Basis Function Neural Networks (RBFNN) that adapts to novel stimuli by means of dynamic restructuring of the network's structural parameters. The new architecture

Expansions for a fundamental solution of Laplace's equation on R 3 in 5-cyclidic harmonics

October 14, 2014

Author(s)

Howard S. Cohl, Hans Volkmer

We derive eigenfunction expansions for a fundamental solution of Laplace's equation in three-dimensional Euclidean space in 5-cyclidic coordinates. There are three such expansions in terms of internal and external 5-cyclidic harmonics of first, second and

An Asymptotically Optimal Structural Attack on the ABC Multivariate Encryption Scheme

October 3, 2014

Author(s)

Dustin Moody, Ray A. Perlner, Daniel C. Smith-Tone

Historically, multivariate public key cryptography has been less than successful at offering encryption schemes which are both secure and efficient. At PQCRYPTO '13 in Limoges, Tao, Diene, Tang, and Ding introduced a promising new multivariate encryption

Elliptic Curves arising from Brahmagupta Quadrilaterals

August 1, 2014

Author(s)

Farzali Izadi, Foad Khoshnam, Dustin Moody, Arman Zargar

A Brahmagupta quadrilateral is a cyclic quadrilateral whose sides, diagonals, and area are all integer values. In this article, we characterize the notions of Brahmagupta, introduced by K. R. S. Sastry, by means of elliptic curves. Motivated by these

A Binomial Approximation Method for the Ising Model

May 21, 2014

Author(s)

Isabel M. Beichl, Amanda A. Streib, Noah S. Streib, Francis Sullivan

A large portion of the complexity inherent to the Ising model can be captures with a trivial amount of computation. in this work, we support this claim by defining an approximation to the partition function and other thermodynamic quantities of the Ising

Applied and Computational Mathematics Division, Summary of Activities for Fiscal Year 2013

April 28, 2014

Author(s)

Ronald F. Boisvert

This report summarizes the technical work of the Applied and Computational Sciences Division of NISTs Information Technology Laboratory. Part I (Overview) provides a high-level overview of the Divisions activities, including highlights of technical

An Empirical Comparison of Combinatorial and Random Testing

April 4, 2014

Author(s)

Raghu N. Kacker, David R. Kuhn

Some conflicting results have been reported on the comparison between t-way combinatorial testing and random testing. In this paper, we report a new study that applies t-way and random testing to the Siemens suite. In particular, we investigate the