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Amortised and provably-robust simulation-based inference
Complex simulator-based models are now routinely used to perform inference across the sciences and engineering, but existing inference …
Ayush Bharti
,
Harita Dellaporta
,
Yuga Hikida
,
François-Xavier Briol
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Code
arXiv
BayesSum: Bayesian Quadrature in Discrete Spaces
This paper addresses the challenging computational problem of estimating intractable expectations over discrete domains. Existing …
Sophia Seulkee Kang
,
François-Xavier Briol
,
Toni Karvonen
,
Zonghao (Hudson) Chen
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Code
arXiv
Conjugate Generalised Bayesian Inference for Discrete Doubly Intractable Problems
Doubly intractable problems occur when both the likelihood and the posterior are available only in unnormalised form, with …
William Laplante
,
Matias Altamirano
,
Jeremias Knoblauch
,
Andrew Duncan
,
François-Xavier Briol
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Code
arXiv
Multi-Output Robust and Conjugate Gaussian Processes
Multi-output Gaussian process (MOGP) regression allows modelling dependencies among multiple correlated response variables. Similarly …
Joshua Rooijakkers
,
Leiv Rønneberg
,
François-Xavier Briol
,
Jeremias Knoblauch
,
Matias Altamirano
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Code
arXiv
Stationary MMD Points
Approximation of a target probability distribution using a finite set of points is a problem of fundamental importance in numerical …
Huson
,
Toni Karvonen
,
Heishiro Kanagawa,
,
François-Xavier Briol
,
Chris. J. Oates
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Code
arXiv
A Dictionary of Closed-Form Kernel Mean Embeddings
Kernel mean embeddings – integrals of a kernel with respect to a probability distribution – are essential in Bayesian …
François-Xavier Briol
,
Alexandra Gessner
,
Toni Karvonen
,
Maren Mahsereci
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Code
arXiv
Approximate Top-k for Increased Parallelism
We present an evaluation of bucketed approximate top-k algorithms. Computing top-k exactly suffers from limited parallelism, because …
Oscar Key
,
Luka Ribar
,
Alberto Cattaneo
,
Luke Hudlass-Galley
,
Douglas Orr
Cite
arXiv
Targeted Separation and Convergence with Kernel Discrepancies
Maximum mean discrepancies (MMDs) like the kernel Stein discrepancy (KSD) have grown central to a wide range of applications, including …
Alessandro Barp
,
Carl-Johann Simon-Gabriel
,
Mark Girolami
,
Lester Mackey
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arXiv
Predictive performance of power posteriors
We analyse the impact of using tempered likelihoods in the production of posterior predictions. Our findings reveal that once the …
Yann McLatchie
,
Edwin Fong
,
David T. Frazier
,
Jeremias Knoblauch
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arXiv
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