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Mathematics & Statistics

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Displaying 351 - 375 of 872

SAGRAD: A Program for Neural Network Training with Simulated Annealing and the Conjugate Gradient Method

June 17, 2015

Author(s)

Javier Bernal, Jose Torres-Jimenez

SAGRAD, a Fortran 77 program for computing neural networks for classification using batch learning, is discussed. Neural network training in SAGRAD is based on a combination of simulated annealing and Møller's scaled conjugate gradient algorithm, the

Applied and Computational Mathematics Division, Summary of Activities for Fiscal Year 2014

June 2, 2015

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

A Fixed-Memory Moving, Expanding Window for Obtaining Scatter Corrections in X-Ray CT and Other Stochastic Averages

May 30, 2015

Author(s)

Zachary H. Levine, Adam L. Pintar

A simple algorithm for averaging a stochastic sequence of 1D arrays in a moving, expanding window is provided. The samples are grouped in bins which increase exponentially in size so that a constant fraction of the samples is retained at any point in the

The Decoupled Potential Integral Equation for Time-Harmonic Electromagnetic Scattering

May 28, 2015

Author(s)

Felipe Vico, Leslie Greengard, Miguel Ferrando, Zydrunas Gimbutas

We present a new formulation for the problem of electromagnetic scattering from perfect electric conductors. While our representation for the electric and magnetic fields is based on the standard vector and scalar potentials A, φ in the Lorenz gauge, we

Tokamak Plasma High Field Side Response to an n = 3 Magnetic Perturbation: A Comparison of 3D Equilibrium Solutions from Seven Different Codes

May 15, 2015

Author(s)

Allan Reiman, Antoine Cerfon, Geoffrey B. McFadden

In comparing equilibrium solutions for a DIII-D shot that is amenable to analysis by both stellarator and tokamak 3D equilibrium codes, a significant disagreement has been seen between solutions of the VMEC stellarator equilibrium code and solutions of

A fast multipole method for the evaluation of elastostatic fields in a half-space with zero normal stress

April 30, 2015

Author(s)

Zydrunas Gimbutas, Leslie Greengard

In this paper, we present a fast multipole method (FMM) for the half-space Green's function in a homogeneous elastic half-space subject to zero normal stress, for which an explicit solution was given by Mindlin (1936). The image structure of this Green's

Tower of Covering Arrays

April 25, 2015

Author(s)

Raghu N. Kacker, Jose Torres Jimenez

Covering arrays are combinatorial objects that have several practical applications, specially in the design of experiments for software and hardware testing. A covering array CA(N;t,k,v) of strength t and order v is an N×k array over Z v with the property

On the Stability of Rotating Drops

April 20, 2015

Author(s)

Asha K. Nurse, Sam R. Coriell, Geoffrey B. McFadden

We consider the equilibrium and stability of rotating axisymmetric fluid drops by appealing to a variational principle that characterizes the equilibria as stationary states of a functional containing surface energy and rotational energy contributions

Constraint Handling In Combinatorial Test Generation Using Forbidden Tuples

April 13, 2015

Author(s)

Raghu N. Kacker, David R. Kuhn, Yu Lei

Constraint handling is a challenging problem in combinatorial test generation. In general, there are two ways to handle constraints, i.e., constraint solving and forbidden tuples. In our early work we proposed a constraint handling approach based on

Improving IPOGs Vertical Growth Based on a Graph Coloring Scheme

April 13, 2015

Author(s)

Raghu N. Kacker, David R. Kuhn, Yu Lei

In this paper, we show that the vertical growth phase of IPOG is optimal for t-way test generation when t = 2, but it is no longer optimal when t is greater than 2. We present an improvement that reduces the number of tests generated during vertical growth

The Multiplicative Complexity of Boolean Functions on Four and Five Variables

March 17, 2015

Author(s)

Meltem Sonmez Turan, Rene C. Peralta

A generic way to design lightweight cryptographic primitives is to construct simple rounds using small nonlinear components such as 4x4 S-boxes and use these iteratively (e.g., PRESENT and SPONGENT). In order to efficiently implement the primitive, optimal

Obtaining a Trapezoidal Distribution

March 9, 2015

Author(s)

James F. Lawrence, Raghu N. Kacker, Ruediger Kessel

Given a most believed value for a quantity together with upper and lower possible deviations from that value, a rectangular distribution might be used to represent state-of-knowledge about the quantity. If the deviations are themselves known by probability

The Resilience of the Internet to Colluding Country Induced Connectivity Disruptions

March 3, 2015

Author(s)

Peter M. Mell, Richard Harang, Assane Gueye

We show that the strength of Internet-based network interconnectivity of countries is increasing over time. We then evaluate bounds on the extent to which a group of colluding countries can disrupt this connectivity. We evaluate the degree to which a group