Nicholas H. Nelsen

According to our database, Nicholas H. Nelsen authored at least 12 papers between 2021 and 2026.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2026

One Operator for Many Densities: Amortized Approximation of Conditioning by Neural Operators.

Panos Tsimpos, Edoardo Calvello, Ayoub Belhadji, Nicholas H. Nelsen

CoRR, May, 2026

A short tour of operator learning theory: Convergence rates, statistical limits, and open questions.

Simone Brugiapaglia, Nicola Rares Franco, Nicholas H. Nelsen

CoRR, March, 2026

2025

Extension and neural operator approximation of the electrical impedance tomography inverse map.

Maarten V. de Hoop, Nikola B. Kovachki, Matti Lassas, Nicholas H. Nelsen

CoRR, November, 2025

Bilevel optimization for learning hyperparameters: Application to solving PDEs and inverse problems with Gaussian processes.

Nicholas H. Nelsen, Houman Owhadi, Andrew M. Stuart, Xianjin Yang, Zongren Zou

CoRR, October, 2025

Operator learning meets inverse problems: A probabilistic perspective.

Nicholas H. Nelsen, Yunan Yang

CoRR, August, 2025

Hyperparameter optimization for randomized algorithms: a case study on random features.

Oliver R. A. Dunbar, Nicholas H. Nelsen, Maya Mutic

Stat. Comput., June, 2025

Learning Where to Learn: Training Distribution Selection for Provable OOD Performance.

Nicolas Guerra, Nicholas H. Nelsen, Yunan Yang

CoRR, May, 2025

2024

Operator Learning Using Random Features: A Tool for Scientific Computing.

Nicholas H. Nelsen, Andrew M. Stuart

SIAM Rev., 2024

An operator learning perspective on parameter-to-observable maps.

Daniel Zhengyu Huang, Nicholas H. Nelsen, Margaret Trautner

CoRR, 2024

2023

Convergence Rates for Learning Linear Operators from Noisy Data.

Maarten V. de Hoop, Nikola B. Kovachki, Nicholas H. Nelsen, Andrew M. Stuart

SIAM/ASA J. Uncertain. Quantification, June, 2023

Error Bounds for Learning with Vector-Valued Random Features.

Samuel Lanthaler, Nicholas H. Nelsen

Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

2021

The Random Feature Model for Input-Output Maps between Banach Spaces.

Nicholas H. Nelsen, Andrew M. Stuart

SIAM J. Sci. Comput., 2021