87 citations · 196 across the 20 of their papers we have counts for
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Bayesian Probabilistic Numerical Methods in Time-Dependent State Estimation for Industrial Hydrocyclone Equipment
Chris. J. Oates, Jon Cockayne, Robert G. Aykroyd +1
The use of high-power industrial equipment, such as large-scale mixing equipment or a hydrocyclone for separation of particles in liquid suspension, demands careful monitoring to e…
On the Sampling Problem for Kernel Quadrature
Francois-Xavier Briol, Chris J. Oates, Jon Cockayne +2
The standard Kernel Quadrature method for numerical integration with random point sets (also called Bayesian Monte Carlo) is known to converge in root mean square error at a rate d…
Bayesian Probabilistic Numerical Methods
Jon Cockayne, Chris Oates, Tim Sullivan +1
The emergent field of probabilistic numerics has thus far lacked clear statistical principals. This paper establishes Bayesian probabilistic numerical methods as those which can be…
Probabilistic Numerical Methods for PDE-constrained Bayesian Inverse Problems
Jon Cockayne, Chris Oates, Tim Sullivan +1
This paper develops meshless methods for probabilistically describing discretisation error in the numerical solution of partial differential equations. This construction enables th…