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This paper introduces the Boomerang Sampler as a novel class of continuous-time non-reversible Markov chain Monte Carlo algorithms.
Peskun-Tierney ordering for Markov chain and process Monte Carlo: beyond the reversible scenario
Andrieu, C. and Livingstone, S · 1906
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On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
Brascamp, H. J. and Lieb, E. H · 1976
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Regression and classification using Gaussian process priors
Neal, R. M · 1999
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Analysis of a nonreversible Markov chain sampler
Diaconis, P., Holmes, S., and Neal, R. M · 2000
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A piecewise deterministic Monte Carlo method for diffusion bridges
Bierkens, J., Grazzi, S., van der Meulen, F., and Schauer, M · 2001
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On inference for partially observed nonlinear diffusion models using the metropolis-hastings algorithm
Roberts, G. O. and Stramer, O · 2001
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Analytical methods for Markov semigroups , volume 283 of Pure and Applied Mathematics (Boca Raton)
Lorenzi, L. and Bertoldi, M · 2007
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MCMC methods for diffusion bridges
Beskos, A., Roberts, G. O., Stuart, A., and Voss, J · 2008
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Elliptical slice sampling
Murray, I., Adams, R., and MacKay, D · 2010
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Handbook of Markov chain Monte Carlo
Brooks, S., Gelman, A., Jones, G. L., and Meng, X.-L. (eds.) · 2011
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Analysis and geometry of markov diffusion operators
Bakry, D., Gentil, I., and Ledoux, M · 2014
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Randomized Hamiltonian Monte Carlo
Bou-Rabee, N. and Sanz-Serna, J. M · 2017
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The Bouncy Particle Sampler: A Non-Reversible Rejection-Free Markov Chain Monte Carlo Method
Bouchard-Côté, A., Vollmer, S. J., and Doucet, A · 2017
Cited alongside, same era.
Hypocoercivity of Piecewise Deterministic Markov Process-Monte Carlo
Andrieu, C., Durmus, A., Nüsken, N., and Roussel, J · 2018
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High-dimensional scaling limits of piecewise deterministic sampling algorithms
Bierkens, J., Kamatani, K., and Roberts, G. O · 2018
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Deligiannidis, G., Paulin, D., and Doucet, A · 2018
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Piecewise Deterministic Markov Processes for Continuous-Time Monte Carlo
Fearnhead, P., Bierkens, J., Pollock, M., and Roberts, G. O · 2018
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Vanetti, P., Bouchard-Côté, A., Deligiannidis, G., and Doucet, A · 2017
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Markovic, J. and Sepehri, A · 2018
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Terenin, A. and Thorngren, D · 2018
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The Zig-Zag process and super-efficient sampling for Bayesian analysis of big data
Bierkens, J., Fearnhead, P., and Roberts, G. O · 2019
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