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Mathematics

D-Index
70
Citations
30013
World Ranking
268
National Ranking
16

Research.com Recognitions

  • 2013 - Fellow of the Royal Society, United Kingdom

Overview

Gareth O. Roberts is affiliated with the University of Warwick in the United Kingdom. Their research spans across the disciplines of mathematics and computer science, with a particular focus on statistics and probability as well as artificial intelligence. The work also extends into specialized areas such as mathematical physics, epidemiology, and finance.

The primary topics of their research include:

  • Markov Chains and Monte Carlo Methods
  • Bayesian Methods and Mixture Models
  • Statistical Methods and Inference
  • Statistical Methods and Bayesian Inference
  • Gaussian Processes and Bayesian Inference
  • Stochastic processes and statistical mechanics
  • COVID-19 epidemiological studies

Their publication record shows consistent contributions to several academic venues, most frequently to arXiv (Cornell University), Journal of the Royal Statistical Society Series B (Statistical Methodology), The Annals of Applied Probability, Methodology And Computing In Applied Probability, and Bernoulli.

Notable recent papers include:

  • Optimal scaling of random-walk metropolis algorithms on general target distributions, 2020, Stochastic Processes and their Applications
  • High-dimensional scaling limits of piecewise deterministic sampling algorithms, 2022, The Annals of Applied Probability
  • Dimension-Free Mixing for High-Dimensional Bayesian Variable Selection, 2022, Journal of the Royal Statistical Society Series B (Statistical Methodology)
  • Efficient real-time monitoring of an emerging influenza pandemic: How feasible?, 2020, The Annals of Applied Statistics
  • Regeneration-enriched Markov processes with application to Monte Carlo, 2021, The Annals of Applied Probability

Their frequent collaborators include Krzysztof Łatuszyński, Murray Pollock, Jeffrey S. Rosenthal, Dootika Vats, and Joris Bierkens.

Gareth O. Roberts was awarded the title of Fellow of the Royal Society, United Kingdom, in 2013.

Best Publications

  • Bayesian Computation Via the Gibbs Sampler and Related Markov Chain Monte Carlo Methods

    A. F. M. Smith;G. O. Roberts

  • Weak convergence and optimal scaling of random walk Metropolis algorithms

    G. O. Roberts;A. Gelman;W. R. Gilks

  • Optimal scaling for various Metropolis-Hastings algorithms

    Gareth O. Roberts;Jeffrey S. Rosenthal

  • Examples of Adaptive MCMC

    Gareth O. Roberts;Jeffrey S. Rosenthal

  • Exponential convergence of Langevin distributions and their discrete approximations

    Gareth O. Roberts;Richard L. Tweedie

  • The pseudo-marginal approach for efficient Monte Carlo computations

    Christophe Andrieu;Gareth O. Roberts

  • General state space Markov chains and MCMC algorithms

    Gareth O. Roberts;Jeffrey S. Rosenthal

  • Optimal scaling of discrete approximations to Langevin diffusions

    Gareth O. Roberts;Jeffrey S. Rosenthal

  • MCMC Methods for Functions: Modifying Old Algorithms to Make Them Faster

    Simon L. Cotter;Gareth O. Roberts;A. M. Stuart;David White

  • Updating Schemes, Correlation Structure, Blocking and Parameterization for the Gibbs Sampler

    G. O. Roberts;S. K. Sahu

  • Networks and the epidemiology of infectious disease.

    Leon Danon;Ashley P. Ford;Thomas A. House;Chris P. Jewell

  • Geometric convergence and central limit theorems for multidimensional Hastings and Metropolis algorithms

    G. O. Roberts;R. L. Tweedie

  • Simple conditions for the convergence of the Gibbs sampler and Metropolis-Hastings algorithms

    G.O. Roberts;A.F.M. Smith

  • COUPLING AND ERGODICITY OF ADAPTIVE MARKOV CHAIN MONTE CARLO ALGORITHMS

    Gareth O. Roberts;Jeffrey S. Rosenthal

  • Convergence assessment techniques for Markov chain Monte Carlo

    Stephen P. Brooks;Gareth O. Roberts

  • Bayesian inference for partially observed stochastic epidemics

    P. D. O’Neill;G. O. Roberts

  • Exact and computationally efficient likelihood-based estimation for discretely observed diffusion processes (with discussion)

    Alexandros Beskos;Omiros Papaspiliopoulos;Gareth O. Roberts;Paul Fearnhead

  • Retrospective Markov chain Monte Carlo methods for Dirichlet process hierarchical models

    Omiros Papaspiliopoulos;Gareth O. Roberts

  • Efficient construction of reversible jump Markov chain Monte Carlo proposal distributions

    S. P. Brooks;P. Giudici;G. O. Roberts

  • Link analysis ranking: algorithms, theory, and experiments

    Allan Borodin;Gareth O. Roberts;Jeffrey S. Rosenthal;Panayiotis Tsaparas

Frequent Co-Authors

Jeffrey S. Rosenthal
Jeffrey S. Rosenthal University of Toronto
Andrew M. Stuart
Andrew M. Stuart California Institute of Technology
Paul Fearnhead
Paul Fearnhead Lancaster University
Walter R. Gilks
Walter R. Gilks University of Leeds
Richard L. Tweedie
Richard L. Tweedie University of Minnesota
Nicholas G. Polson
Nicholas G. Polson University of Chicago
Jesper Møller
Jesper Møller Aalborg University
Allan Borodin
Allan Borodin University of Toronto
Christian Franzke
Christian Franzke Universität Hamburg
Richard Pebody
Richard Pebody Public Health England

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