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MCMC algorithms such as Metropolis-Hastings algorithms are slowed down by the computation of complex target distributions as exemplified by huge datasets.
MCMC using Hamiltonian dynamics
Neal, R · 1901
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Theory of Probability
Jeffreys, H · 1939
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Optimum Monte Carlo sampling using Markov chains
Peskun, P · 1973
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Estimation of finite mixture distributions by Bayesian sampling
Diebolt, J · 1994
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Markov chains for exploring posterior distributions (with discussion)
Tierney, L · 1994
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Efficient Metropolis jumping rules
Gelman, A · 1996
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Sampling conductivity images via MCMC
Fox, C · 1997
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Markov chain Monte Carlo methods based on ‘slicing’ the density function
Neal, R · 1997
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Practical Bayesian density estimation using mixtures of normals
Roeder, K · 1997
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Bayesian Methods for Mixtures of Normal Distributions
Stephens, M · 1997
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Some adaptive Monte Carlo methods for Bayesian inference
Tierney, L · 1998
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Finite Mixture Models
MacLachlan, G · 2000
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The Bayesian Choice
Robert, C · 2001
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Monte Carlo Statistical Methods
Robert, C · 2004
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Markov chain Monte Carlo using an approximation
Christen, J · 2005
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Markov Chain Monte Carlo methods and the label switching problem in Bayesian mixture modeling
Jasra, A · 2005
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Parallel Markov chain Monte Carlo simulation by pre-fetching
Brockwell, A · 2006
Riemann manifold Langevin and Hamiltonian Monte Carlo methods
Girolami, M · 2011
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Using parallel computation to improve independent Metropolis–Hastings based estimation
Jacob, P · 2011
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Efficient implementation of Markov chain Monte Carlo when using an unbiased likelihood estimator
Doucet, A · 2012
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Evidence for Higgs Boson Decays to the τ + τ − \tau^{+}\tau^{-} Final State with the ATLAS Detector
The ATLAS collaboration · 2013
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Austerity in MCMC land: Cutting the Metropolis-Hastings budget
Korattikara, A · 2013
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The pseudo-marginal approach for efficient Monte Carlo computations
Andrieu, C · 2009
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Efficient parallelisation of Metropolis–Hastings algorithms using a prefetching approach
Strid, I · 2010
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Neiswanger, W · 2013
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Bayes and big data: The consensus Monte Carlo algorithm
Scott, S · 2013
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Parallel MCMC via Weierstrass sampler
Wang, X · 2013
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Accelerating MCMC via parallel predictive prefetching
Angelino, E · 2014
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