no code implementations • 17 Dec 2020 • Ayush Bharti, Francois-Xavier Briol, Troels Pedersen
We evaluate the performance of the proposed method by fitting two different stochastic channel models, namely the Saleh-Valenzuela model and the propagation graph model, to both simulated and measured data.
no code implementations • 8 Aug 2019 • Francois-Xavier Briol, Francisco A. Diaz De la O, Peter O. Hristov
We would like to congratulate the authors of "A Bayesian Conjugate Gradient Method" on their insightful paper, and welcome this publication which we firmly believe will become a fundamental contribution to the growing field of probabilistic numerical methods and in particular the sub-field of Bayesian numerical methods.
no code implementations • NeurIPS 2019 • Alessandro Barp, Francois-Xavier Briol, Andrew B. Duncan, Mark Girolami, Lester Mackey
We provide a unifying perspective of these techniques as minimum Stein discrepancy estimators, and use this lens to design new diffusion kernel Stein discrepancy (DKSD) and diffusion score matching (DSM) estimators with complementary strengths.
no code implementations • 13 Jun 2019 • Francois-Xavier Briol, Alessandro Barp, Andrew B. Duncan, Mark Girolami
While likelihood-based inference and its variants provide a statistically efficient and widely applicable approach to parametric inference, their application to models involving intractable likelihoods poses challenges.
no code implementations • 26 Nov 2018 • Francois-Xavier Briol, Chris. J. Oates, Mark Girolami, Michael A. Osborne, Dino Sejdinovic
This article is the rejoinder for the paper "Probabilistic Integration: A Role in Statistical Computation?"
no code implementations • ICML 2017 • Francois-Xavier Briol, Chris. J. Oates, Jon Cockayne, Wilson Ye Chen, Mark Girolami
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 determined by the ratio $s/d$, where $s$ and $d$ encode the smoothness and dimension of the integrand.
no code implementations • 8 May 2017 • Alessandro Barp, Francois-Xavier Briol, Anthony D. Kennedy, Mark Girolami
The aim of this review is to provide a comprehensive introduction to the geometric tools used in Hamiltonian Monte Carlo at a level accessible to statisticians, machine learners and other users of the methodology with only a basic understanding of Monte Carlo methods.