Elliott Gregory Holliday

College of Sciences

Works (2)

Updated: August 29th, 2023 05:00

2023 journal article

Solving quantum billiard eigenvalue problems with physics-informed machine learning

AIP ADVANCES, 13(8).

By: E. Holliday n, J. Lindner n & W. Ditto n 

TL;DR: This work generalizes an unsupervised learning algorithm to find the particles’ eigenvalues and eigenfunctions, even in cases where the eigen values are degenerate, including particles confined to rectangle-, ellipse-, triangle-, and cardioid-shaped boxes. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID
Added: August 28, 2023

2021 journal article

Forecasting Hamiltonian dynamics without canonical coordinates

NONLINEAR DYNAMICS, 103(2), 1553–1562.

By: A. Choudhary n, J. Lindner n, E. Holliday n, S. Miller n, S. Sinha n & W. Ditto n 

author keywords: Neural networks; Hamiltonian dynamics; Canonical coordinates; Time series forecasting
TL;DR: This work prepend a conventional neural network to a Hamiltonian neural network and shows that the combination accurately forecasts Hamiltonian dynamics from generalised noncanonical coordinates. (via Semantic Scholar)
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Sources: Web Of Science, NC State University Libraries
Added: February 8, 2021

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