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math.NA2026
Cost-Accuracy Trade-offs: Neural Operator vs Classical Numerical Solver
Daniel Zhengyu Huang, Andrew M. Stuart
Neural operators are data-driven models that learn mappings from inputs that parameterize partial differential equations, such as spatially varying coefficients, initial conditions…
math.NA2019
Diffusive optical tomography in the Bayesian framework
Kit Newton, Qin Li, Andrew Stuart
Many naturally-occuring models in the sciences are well-approximated by simplified models, using multiscale techniques. In such settings it is natural to ask about the relationship…