Search Results - "Pollock, Murray"
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Piecewise Deterministic Markov Processes for Continuous-Time Monte Carlo
Published in Statistical science (01-08-2018)“…Recently, there have been conceptually new developments in Monte Carlo methods through the introduction of new MCMC and sequential Monte Carlo (SMC) algorithms…”
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Journal Article -
2
Classics for All: Establishing the Classics Hub
Published in The Journal of Classics Teaching (2016)“…Five years since its launch in 2010, Classics for All (CfA) has an increasingly high profile in schools. For anyone still not in the picture, CfA works to…”
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3
On the exact and $\varepsilon$-strong simulation of (jump) diffusions
Published in Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability (01-05-2016)“…This paper introduces a framework for simulating finite dimensional representations of (jump) diffusion sample paths over finite intervals, without…”
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Journal Article -
4
Bayesian fusion: scalable unification of distributed statistical analyses
Published in Journal of the Royal Statistical Society. Series B, Statistical methodology (01-02-2023)“…There has been considerable interest in addressing the problem of unifying distributed analyses into a single coherent inference, which arises in big-data…”
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5
Monte Carlo fusion
Published in Journal of applied probability (01-03-2019)“…In this paper we propose a new theory and methodology to tackle the problem of unifying Monte Carlo samples from distributed densities into a single Monte…”
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On the exact simulation of (jump) diffusion bridges
Published in 2015 Winter Simulation Conference (WSC) (01-12-2015)“…In this paper we outline methodology to efficiently simulate (jump) diffusion bridge sample paths without discretisation error. We achieve this by considering…”
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Conference Proceeding Journal Article -
7
Quasi‐stationary Monte Carlo and the ScaLE algorithm
Published in Journal of the Royal Statistical Society. Series B, Statistical methodology (01-12-2020)“…Summary This paper introduces a class of Monte Carlo algorithms which are based on the simulation of a Markov process whose quasi‐stationary distribution…”
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Journal Article -
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Regeneration-enriched Markov processes with application to Monte Carlo
Published in The Annals of applied probability (01-04-2021)“…We study a class of Markov processes that combine local dynamics, arising from a fixed Markov process, with regenerations arising at a state-dependent rate. We…”
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Journal Article -
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Unbiased Simulation of Rare Events in Continuous Time
Published in Methodology and computing in applied probability (01-09-2022)“…For rare events described in terms of Markov processes, truly unbiased estimation of the rare event probability generally requires the avoidance of numerical…”
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Journal Article -
10
On the exact and ε-strong simulation of (jump) diffusions
Published in Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability (01-05-2016)“…This paper introduces a framework for simulating finite dimensional representations of (jump) diffusion sample paths over finite intervals, without…”
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Journal Article -
11
Flexible Bayesian Inference for Diffusion Processes using Splines
Published in Methodology and computing in applied probability (01-12-2023)“…We introduce a flexible method to simultaneously infer both the drift and volatility functions of a discretely observed scalar diffusion. We introduce spline…”
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Journal Article -
12
The Computational Cost of Blocking for Sampling Discretely Observed Diffusions
Published in Methodology and computing in applied probability (01-12-2022)“…Many approaches for conducting Bayesian inference on discretely observed diffusions involve imputing diffusion bridges between observations. This can be…”
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Journal Article -
13
Some monte carlo methods for jump diffusions
Published 01-01-2013“…In this thesis we develop computationally efficient methods to simulate finite dimensional representations of (jump) diffusion and (jump) diffusion bridge…”
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Dissertation -
14
Unbiased simulation of rare events in continuous time
Published 05-11-2021“…For rare events described in terms of Markov processes, truly unbiased estimation of the rare event probability generally requires the avoidance of numerical…”
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Journal Article -
15
On the Exact Simulation of (Jump) Diffusion Bridges
Published 12-05-2015“…In this paper we outline methodology to efficiently simulate (jump) diffusion bridge sample paths without discretisation error. We achieve this by considering…”
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Journal Article -
16
Bayesian Fusion: Scalable unification of distributed statistical analyses
Published 03-02-2021“…There has recently been considerable interest in addressing the problem of unifying distributed statistical analyses into a single coherent inference. This…”
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Journal Article -
17
Privacy Guarantees in Posterior Sampling under Contamination
Published 12-03-2024“…In recent years, differential privacy has been adopted by tech-companies and governmental agencies as the standard for measuring privacy in algorithms. We…”
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Journal Article -
18
Flexible Bayesian inference for diffusion processes using splines
Published 10-06-2021“…We introduce a flexible method to simultaneously infer both the drift and volatility functions of a discretely observed scalar diffusion. We introduce spline…”
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Journal Article -
19
Sampling using Adaptive Regenerative Processes
Published 18-10-2022“…Enriching Brownian motion with regenerations from a fixed regeneration distribution $\mu$ at a particular regeneration rate $\kappa$ results in a Markov…”
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Journal Article -
20
The computational cost of blocking for sampling discretely observed diffusions
Published 22-09-2020“…Many approaches for conducting Bayesian inference on discretely observed diffusions involve imputing diffusion bridges between observations. This can be…”
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Journal Article