Publications

Preprints

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. Wu, M. E. Levine, T. Schneider, A. Stuart; Learning About Structural Errors in Models of Complex Dynamical Systems
[Preprint]

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

A. Pradhan, K. H. Adams, V. Chandrasekaran, Z. Liu, J. T. Reager, A. M. Stuart, M. J. Turmon; Modeling groundwater levels in California's Central Valley by hierarchical Gaussian process and neural network regression
[Preprint]

K. Bhattacharya, N. Kovachki, A. Rajan, A. M. Stuart, M. Trautner; Learning Homogenization for Elliptic Operators
[Preprint]

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

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]

J. A. Carrillo, F. Hoffmann, A. M. Stuart, U. Vaes; The Ensemble Kalman Filter in the Near-Gaussian Setting
[Preprint]

E. Calvello, S. Reich, A. M. Stuart; Ensemble Kalman Methods: A Mean Field Perspective
[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]