Publications

Preprints

E. Bach, R. Baptista, D. Sanz-Alonso, A.Stuart; Inverse Problems and Data Assimilation: A Machine Learning Approach
[Preprint]

E. Calvello, P. Monmarché, A. M. Stuart, U. Vaes; Accuracy of the Ensemble Kalman Filter in the Near-Linear Setting
[Preprint]

J. Bunker, M. Girolami, H. Lambley, A. M. Stuart, T. J. Sullivan; Autoencoders in Function Space
[Preprint]

Y. Chen, D. Z. Huang, J. Huang, S. Reich, A. M. Stuart; Efficient, Multimodal, and Derivative-Free Bayesian Inference With Fisher-Rao Gradient Flows
[Preprint]

M. Sirlanci, G. Hripcsak, C. C. L. Wang, J. N. Stroh, Y. Wang, T. D. Bennett, A. M. Stuart, D. J. Albers; A Stochastic Model-Based Control Methodology for Glycemic Management in the Intensive Care Unit
[Preprint]

E. Calvello, N. B. Kovachki, M. E. Levine, A. M. Stuart; Continuum Attention for Neural Operators
[Preprint]

O. D. Akyildiz, M. Girolami, A. M. Stuart, A. Vadeboncoeur; Efficient Prior Calibration From Indirect Data
[Preprint]

S. Lanthaler, A. M. Stuart, M. Trautner; Discretization Error of Fourier Neural Operators
[Preprint]

Y. Chen, B. Hosseini, H. Owhadi, A. M. Stuart; Gaussian Measures Conditioned on Nonlinear Observations: Consistency, MAP Estimators, and Simulation
[Preprint]

H. Kaveh, J. Avouac, A. M. Stuart; Spatiotemporal forecast of extreme events in a dynamical model of earthquake sequences
[Preprint]

N. B. Kovachki, S. Lanthaler, A. M. Stuart; Operator Learning: Algorithms and Analysis
[Preprint]

J. A. Carrillo, F. Hoffmann, A. M. Stuart, U. Vaes; Statistical Accuracy of Approximate Filtering Methods
[Preprint]

J. Parres-Gold, M. Levine, B. Emert, A. Stuart, M. Elowitz; Principles of Computation by Competitive Protein Dimerization Networks
[Preprint]

S. Lanthaler, A. M. Stuart; The Curse of Dimensionality in Operator Learning
[Preprint]

P. Batlle, Y. Chen, B. Hosseini, H. Owhadi, A. M. Stuart; Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs
[Preprint]

S. Lanthaler, Z. Li, A. M. Stuart; The Nonlocal Neural Operator: Universal Approximation
[Preprint]

Y. Chen, D. Zhengyu Huang, J. Huang, S. Reich, A. M. Stuart; Gradient Flows for Sampling: Mean-Field Models, Gaussian Approximations and Affine Invariance
[Preprint]

T. Helin, A. Stuart, A. Teckentrup, K. Zygalakis; Introduction To Gaussian Process Regression In Bayesian Inverse Problems, With New Results On Experimental Design For Weighted Error Measures
[Preprint]

Z. Liu, A. M. Stuart, Y. Wang; Second Order Ensemble Langevin Method for Sampling and Inverse Problems
[Preprint]

V. Chen, M. M. Dunlop, O. Papaspiliopoulos, A. M. Stuart; Robust MCMC Sampling with Non-Gaussian and Hierarchical Priors in High Dimensions
[Preprint]