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Mathematics & Statistics

Modeling & simulation research

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Displaying 26 - 50 of 488

Physical Component Libraries for SysPhS Modeling and Simulation in Manufacturing

October 10, 2023
Author(s)
Charles Manion, Conrad Bock, Raphael Barbau
Computer-interpretable representations of system structure and behavior are at the center of developing today's complex systems. Systems engineers create and review these representations using graphical languages and information models that capture

Multi-integral representations for Jacobi functions of the first and second kind

October 5, 2023
Author(s)
Howard Cohl, Roberto S. Costas-Santos
One may consider the generalization of Jacobi polynomials and the Jacobi func- tion of the second kind to a general function where the index is allowed to be a complex number instead of a non-negative integer. These functions are referred to as Jacobi func

Dynamic Regret of Randomized Online Service Caching in Edge Computing

August 29, 2023
Author(s)
Siqi Fan, I-Hong Hou, Van Sy Mai
This paper studies an online service caching problem, where an edge server, equipped with a prediction window of future service request arrivals, needs to decide which services to host locally subject to limited storage capacity. The edge server aims to

Internal and external harmonics in bi-cyclide coordinates

July 20, 2023
Author(s)
Hans Volkmer, Brandon Alexander, Howard Cohl
The Laplace equation in three-dimensional Euclidean space is R-separable in bi-cyclide coordinates leading to harmonic functions expressed in terms of Lamé–Wangerin functions called internal and external bi-cyclide harmonics. An expansion for a fundamental

O-RAN with Machine Learning in ns-3

June 28, 2023
Author(s)
Wesley Garey, Richard A. Rouil, Evan Black, Tanguy Ropitault, Weichao Gao
The Open Radio Access Network (O-RAN) Alliance is the industry led standardization effort, with the sole purpose of evolving the Radio Access Network (RAN) to be more open, intelligent, interoperable, and autonomous to support the ever growing need of

pH response of sequence-controlled polyampholyte brushes

May 31, 2023
Author(s)
Xin Yuan, Harold Hatch, Jacinta Conrad, Amanda Marciel, Jeremy Palmer
We use molecular simulation to investigate the pH response of sequence-controlled polyampholyte brushes (PABs) with polymer chains consisting of alternating blocks of weakly acidic and basic monomers. Changes in the ionization state, height, lateral

Model Validation for Scanning Electron Microscopy

April 27, 2023
Author(s)
Olga Ridzel, Wataru Yamane, Ishiaka Mansaray, John S. Villarrubia
We are beginning projects to validate the physics models used for interpretation of electron microscopy images. In one, we will measure electron yields and energy spectra from cleaned well-characterized samples subjected to electron bombardment inside of a

Investigating the Harmonic Dependence of MPI Resolution

March 19, 2023
Author(s)
Mark-Alexander Henn, Thinh Bui, Solomon I. Woods
In this work we investigate how the MPI resolution changes as a function of signal harmonics. Based on a simulation study that models a lock-in measurement of the point spread function we apply our findings to actual measurement data obtained from NIST's

Investigating the Influence of Sampling Frequency on X-Space MPI Image Reconstructions

March 19, 2023
Author(s)
Mark-Alexander Henn, Klaus Natorf Quelhas, Solomon I. Woods
In this presentation we employ a direct X-space deconvolution to estimate particle distributions from MPI data. We report on how the accuracy of those estimations changes as a function of sampling frequency and compare the findings to the MPI core operator

AtomVision: A machine vision library for atomistic images

March 1, 2023
Author(s)
Brian DeCost, Ramya Gurunathan, Adam Biacchi, Kamal Choudhary
Computer vision techniques have immense potential for materials design applications. In this work, we introduce an integrated and general-purpose AtomVision library that can be used to generate and curate microscopy image (such as scanning tunneling

Category Theory

January 25, 2023
Author(s)
Spencer Breiner, Eswaran Subrahmanian, Ram Sriram
Category theory (CT) is a branch of mathematics concerned with the representation and composition of structured relationships. Recent interest in systems engineering (SE) stems from the possibility that CT might provide a principled mathematical foundation
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