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Mathematics & Statistics

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Displaying 226 - 250 of 872

Short-wave infrared compressive imaging of single photons

June 6, 2018

Author(s)

Thomas Gerrits, Daniel Lum, Varun B. Verma, John Howell, Richard P. Mirin, Sae Woo Nam

We present a short-wave infrared (SWIR) single photon camera based on a single superconducting nanowire single photon detector (SNSPD) and compressive imaging. We show SWIR single photon imaging at a megapixel resolution with a low signal-to-background

Improving the Representation and Conversion of Mathematical Formulae by Considering their Textual Context

May 1, 2018

Author(s)

Howard S. Cohl, Moritz Schubotz, Andre Greiner Petter, Norman Meuschke, Bela Gipp, Philipp Scharpf

Mathematical formulae represent complex semantic information in a concise form. Especially in Science, Technology, Engineering, and Mathematics, mathematical formulae are crucial to commu- nicate information, e.g., in scientific papers, and to perform com-

Improving the representation and conversion of mathematical formulae by considering their textual context

May 1, 2018

Author(s)

Howard S. Cohl, Moritz Schubotz, Andre Greiner Petter, Philipp Scharpf, Norman Meuschke, Bela Gipp

Mathematical formulae represent complex semantic information in a concise form. Especially in Science, Technology, Engineering, and Mathematics, mathematical formulae are crucial for communicating information, e.g., in scientific papers, and to perform

Applied and Computational Mathematics Division Summary of Activities for Fiscal Year 2017

April 6, 2018

Author(s)

Ronald F. Boisvert

This report summarizes recent technical work of the Applied and Computational Sciences Division of the Information Technology Laboratory at the National Institute of Standards and Technology (NIST). Part I (Overview) provides a high-level overview of the

Stabilized backward in time explicit marching schemes in the numerical computation of ill-posed time-reversed hyperbolic/parabolic systems

March 7, 2018

Author(s)

Alfred S. Carasso

This paper develops stabilized explicit marching difference schemes that can successfully solve a significant but {\em limited} class of multidimensional, ill-posed, backward in time problems for coupled hyperbolic/parabolic systems associated with

Securing Tomorrow's Information through Post-Quantum Cryptography

February 27, 2018

Author(s)

Dustin Moody, Larry Feldman, Gregory A. Witte

In recent years, there has been a substantial amount of research on quantum computers - machines that exploit quantum mechanical phenomena to solve mathematical problems that are difficult or intractable for conventional computers. If large-scale quantum

MMSE-based analytical estimator for uncertain power system with limited number of measurements

February 2, 2018

Author(s)

Hamid Gharavi, Hasnae Bilil

The expected penetration of a large number of renewable distributed energy resources (DERs) is driving next generation power systems toward uncertainties that can have a huge impact on the reliability and complexities of state estimation. Therefore, the

Acceleration of diffraction calculations in cylindrically symmetrical optics by use of discrete fast Fourier transforms

January 30, 2018

Author(s)

Jeremy S. Rubin, Eric L. Shirley, Zachary H. Levine

We have achieved significant acceleration of diffraction calculations in two different, though related contexts. In the first case, we consider Wolf's formula for integrated flux in a circular region following diffraction of a point source's light by a

Hybrid Datafication of Maintenance Logs from AI-Assisted Human Tags

January 15, 2018

Author(s)

Thurston B. Sexton, Michael P. Brundage, Michael L. Hoffman, Katherine C. Morris

One of the main challenges of applying AI to some datasets derives from the datasets themselves being unstructured, unclear, and ambiguous. Furthermore, the insights that are to be gained reflect the quality of the data itself; if the data is skewed, so

The NIST Digital Library of Mathematical Functions: A 21st Century Source of Information on the Special Functions of Mathematical Physics

January 1, 2018

Author(s)

Barry I. Schneider, Bruce R. Miller, Bonita V. Saunders

In 1964 the National Bureau of Standards (NBS) published the Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, AMS 55, edited by Milton Abramowitz and Irene A. Stegun. This handbook satisfied an important and largely

One-Pass Graphic Approximation of Integer Sequences

December 18, 2017

Author(s)

Brian D. Cloteaux

A variety of network modeling problems begin by generating a degree sequence drawn from a given probability distribution. If the randomly generated sequence is not graphic, we give a new approach for generating a graphic approximation of the sequence. This

Automatic Localization of Casting Defects with Convolutional Neural Networks

December 11, 2017

Author(s)

Ronay Ak, Max Ferguson, Yung-Tsun T. Lee, Kincho H. Law

Automatic localization of defects in metal castings is a challenging task, owing to the rare occurrence and variation in appearance of defects. Convolutional neural networks (CNN) have recently shown outstanding performance in both image classification and

The odd-even invariant and Hamiltonian circuits in tope graphs

October 27, 2017

Author(s)

Yvonne Kemper, James F. Lawrence

Questions of the existence of Hamiltonian circuits in the tope graphs of central arrangements of hyperplanes are considered. Connections between the existence of Hamiltonian circuits in the arrangement and the odd-even invariant of the arrangement are