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The Ridgelet Prior: A Covariance Function Approach to Prior Specification for Bayesian Neural Networks

Oct 16, 2020
Takuo Matsubara, Chris J. Oates, François-Xavier Briol

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Scalable Control Variates for Monte Carlo Methods via Stochastic Optimization

Jun 12, 2020
Shijing Si, Chris. J. Oates, Andrew B. Duncan, Lawrence Carin, François-Xavier Briol

* 24 pages, 7 figures 

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Bayesian Probabilistic Numerical Integration with Tree-Based Models

Jun 09, 2020
Harrison Zhu, Xing Liu, Ruya Kang, Zhichao Shen, Seth Flaxman, François-Xavier Briol

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Convergence Guarantees for Gaussian Process Approximations Under Several Observation Models

Jan 29, 2020
George Wynne, François-Xavier Briol, Mark Girolami

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Stein Point Markov Chain Monte Carlo

May 09, 2019
Wilson Ye Chen, Alessandro Barp, François-Xavier Briol, Jackson Gorham, Mark Girolami, Lester Mackey, Chris. J. Oates

* Accepted for ICML 2019 

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Bayesian Quadrature for Multiple Related Integrals

Jul 30, 2018
Xiaoyue Xi, François-Xavier Briol, Mark Girolami

* Proceedings of the 35th International Conference on Machine Learning (ICML), PMLR 80:5369-5378, 2018 

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Stein Points

Jun 19, 2018
Wilson Ye Chen, Lester Mackey, Jackson Gorham, François-Xavier Briol, Chris J. Oates

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Probabilistic Integration: A Role in Statistical Computation?

Oct 18, 2017
François-Xavier Briol, Chris. J. Oates, Mark Girolami, Michael A. Osborne, Dino Sejdinovic

* Several improvements suggested by reviewers, including additional experiments on uncertainty quantification properties. Change of title: previously "Probabilistic Integration: A Role for Statisticians in Numerical Analysis?" 

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Frank-Wolfe Bayesian Quadrature: Probabilistic Integration with Theoretical Guarantees

Dec 06, 2015
François-Xavier Briol, Chris J. Oates, Mark Girolami, Michael A. Osborne

* Advances in Neural Information Processing Systems 28, 1162--1170, 2015 

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