Evidence map›Paper›PMID 38352168›Full record

ArticleComputer methods in applied mechanics and engineering2024

Data-driven Identification of Parametric Governing Equations of Dynamical Systems Using the Signed Cumulative Distribution Transform.

Abu Hasnat Mohammad Rubaiyat, Duy H Thai, Jonathan M Nichols, Meredith N Hutchinson, Samuel P Wallen, Christina J Naify, Nathan Geib, Michael R Haberman, Gustavo K Rohde

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In one paragraph

Article in Computer methods in applied mechanics and engineering, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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1 · What the graph read from it

What it found

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

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3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

9 authors.

Abu Hasnat Mohammad RubaiyatDepartment of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA, 22904, USA.
Duy H ThaiDepartment of Biomedical Engineering, University of Virginia, Charlottesville, VA, 22908, USA.
Jonathan M NicholsU.S. Naval Research Laboratory, Washington, DC, 20375, USA.
Meredith N HutchinsonOffice of Naval Research, Arlington, VA, 22217, USA.
Samuel P WallenApplied Research Laboratories, The University of Texas at Austin, Austin, TX, 78712, USA.
Christina J NaifyApplied Research Laboratories, The University of Texas at Austin, Austin, TX, 78712, USA.
Nathan GeibApplied Research Laboratories, The University of Texas at Austin, Austin, TX, 78712, USA.
Michael R HabermanWalker Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX, 78712, USA.
Gustavo K RohdeDepartment of Biomedical Engineering, University of Virginia, Charlottesville, VA, 22908, USA.

Funding

Transport transforms for biomedical data modeling, estimation, and classificationR01GM130825 · NIGMS · UNIVERSITY OF VIRGINIA · PI Gustavo Kunde Rohde · 2019 to 2026
$2.8M
NIGMS NIH HHS R01 GM130825
6 · The paper itself

Abstract

This paper presents a novel data-driven approach to identify partial differential equation (PDE) parameters of a dynamical system. Specifically, we adopt a mathematical "transport" model for the solution of the dynamical system at specific spatial locations that allows us to accurately estimate the model parameters, including those associated with structural damage. This is accomplished by means of a newly-developed mathematical transform, the signed cumulative distribution transform (SCDT), which is shown to convert the general nonlinear parameter estimation problem into a simple linear regression. This approach has the additional practical advantage of requiring no

Indexed as

elastic wavessigned cumulative distribution transformStructural health monitoringsystem identificationultrasonics

Identifiers

PMID38352168
PMCPMC10861186

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.