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Nicholas H. Nelsen
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The random feature model for input-output maps between banach spaces
NH Nelsen, AM Stuart
SIAM Journal on Scientific Computing 43 (5), A3212-A3243, 2021
1362021
Convergence rates for learning linear operators from noisy data
MV de Hoop, NB Kovachki, NH Nelsen, AM Stuart
SIAM/ASA Journal on Uncertainty Quantification 11 (2), 480-513, 2023
452023
Diastolic vortex alterations with reducing left ventricular volume: an in vitro study
M Samaee, NH Nelsen, MG Gaddam, A Santhanakrishnan
Journal of biomechanical engineering 142 (12), 121006, 2020
92020
Error bounds for learning with vector-valued random features
S Lanthaler, NH Nelsen
Advances in Neural Information Processing Systems 36, 2024
52024
An operator learning perspective on parameter-to-observable maps
DZ Huang, NH Nelsen, M Trautner
arXiv preprint arXiv:2402.06031, 2024
32024
RaISE: A Framework to Characterize Surrogate Models in Scientific Computing
Z Morrow, B van Bloemen Waanders, J Jakeman, M Salloum, N Winovich, ...
Sandia National Lab.(SNL-NM), Albuquerque, NM (United States); Sandia …, 2022
2022
Operator-Valued Kernels
NH Nelsen
Chap. III.8 in ACM 204: Matrix Analysis by Joel A. Tropp, 286-297, 2022
2022
Lagrangian Particle Methods for the Shallow Water Equations in Varied Geometries
NH Nelsen, PA Bosler
Sandia National Laboratories, Center for Computing Research Summer …, 2019
2019
On partial differential equations modified with fractional operators and integral transformations
NH Nelsen
Oklahoma State University, 2018
2018
A Reduced Order Framework for Optimal Control of Nonlinear Partial Differential Equations
NH Nelsen
Oklahoma State University, 2018
2018
The intraventricular filling vortex under heightened aortic blood pressure
N Nelsen, M Gaddam, A Santhanakrishnan
APS Division of Fluid Dynamics Meeting Abstracts, F4. 001, 2017
2017
Advanced and Exploratory Shock Sensing Mechanisms
NH Nelsen, JD Kolb, AG Kulkarni, Z Sorscher, CD Habing, A Mathis, ...
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States), 2017
2017
Intraventricular filling in physical models of the left ventricle: influence of aortic pressure
N Nelsen, M Samaee, A Santhanakrishnan
APS Division of Fluid Dynamics Meeting Abstracts, KP1. 012, 2016
2016
Experimental study of the intraventricular filling vortex in diastolic dysfunction
A Santhanakrishnan, M Samaee, N Nelsen
APS Division of Fluid Dynamics Meeting Abstracts, L15. 004, 2016
2016
Bayesian Posterior Contraction for Linear Operator Learning
NH Nelsen
2022 Spring Western Sectional Meeting, 0
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Articles 1–15