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The single-update Metropolis Hastings Algorithm

Maximal Couplings of the Metropolis Hastings Algorithm

Maximal Couplings of the Metropolis Hastings Algorithm

... 5 Discussion Couplings play a central role in the analysis of MCMC convergence and increasingly appear in new methods and estimators. Until now, no general-purpose algo- rithm has been available to sample from a maximal ...

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Majorize-Minimize Adapted Metropolis-Hastings Algorithm

Majorize-Minimize Adapted Metropolis-Hastings Algorithm

... proposed algorithm much faster than by RW, MALA and Newton MCMC ...3MH algorithm to reach stability which is fourfold less than the time required by MALA ...RW algorithm appears as the slowest ...

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Metropolis-Hastings Algorithm with Delayed Acceptance and Rejection

Metropolis-Hastings Algorithm with Delayed Acceptance and Rejection

... acceptance Metropolis-Hastings algorithm (MHDA) of Chris- ten and Fox ...standard Metropolis-Hastings. We can x this problem by using the Metropolis-Hastings ...

5

Multi-robot Patrol via the Metropolis-Hastings Algorithm

Multi-robot Patrol via the Metropolis-Hastings Algorithm

... the Metropolis-Hastings ...the algorithm to a random walk on a graph, we were able to create strategies based on any desired stationary distribution π, specifically the distributions that contained ...

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MCMC Methods: Gibbs Sampling and the Metropolis-Hastings Algorithm

MCMC Methods: Gibbs Sampling and the Metropolis-Hastings Algorithm

... Definition: a stochastic process in which future states are independent of past states given the present state Stochastic process: a consecutive set of random not deterministic quantitie[r] ...

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Spectral gaps for a Metropolis–Hastings algorithm in infinite dimensions

Spectral gaps for a Metropolis–Hastings algorithm in infinite dimensions

... Previous results in terms of scaling and diffusion limits suggested that the pCN has a convergence rate that is independent of the dimension while the RWM method has undesirable dimension-dependent behaviour. We confirm ...

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Hastings-Metropolis algorithm on Markov chains for small-probability estimation

Hastings-Metropolis algorithm on Markov chains for small-probability estimation

... Abstract. Shielding studies in neutron transport, with Monte Carlo codes, yield challenging problems of small-probability estimation. The particularity of these studies is that the small probability to estimate is ...

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A Bootstrap Metropolis-Hastings algorithm for Bayesian Analysis of Big Data

A Bootstrap Metropolis-Hastings algorithm for Bayesian Analysis of Big Data

... bootstrap Metropolis-Hastings algorithm that takes advantages of the bag of little Bootstrap and the resampling-based stochastic approximation ...BMH algorithm func- tions by maximizing ...

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Hastings-Metropolis algorithm on Markov chains for
          small-probability estimation*,**

Hastings-Metropolis algorithm on Markov chains for small-probability estimation*,**

... Abstract. Shielding studies in neutron transport, with Monte Carlo codes, yield challenging problems of small-probability estimation. The particularity of these studies is that the small probability to estimate is ...

32

A Bootstrap Metropolis-Hastings Algorithm for Bayesian Analysis of Big Data

A Bootstrap Metropolis-Hastings Algorithm for Bayesian Analysis of Big Data

... (BMH) algorithm, which provides a general framework for how to tame powerful MCMC methods to be used for big data analysis; that is to replace the full data log-likelihood by a Monte Carlo average of the ...

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Leveraging Metropolis-Hastings Algorithm on Graph-based Model for Multimodal IR

Leveraging Metropolis-Hastings Algorithm on Graph-based Model for Multimodal IR

... MH algorithm on graph-based collections an opportunity to compare the effect of different ranking models? 3) How much expensive is this approach regarding the need of high number of transitions until the matrix ...

5

Non-reversible Metropolis-Hastings

Non-reversible Metropolis-Hastings

... analogue in continuous spaces (crudely speaking, because all transition probabilities to specific states are zero). To remedy these issues, in this paper MH is extended to ‘non-reversible ...

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Non reversible Metropolis Hastings

Non reversible Metropolis Hastings

... Using the algorithm described in Lelièvre et al. (2013) an optimal non-reversible drift B = −(I + S )V − 1 can be computed. For reversible dynamics, we have s(− V − 1 ) = −1.0444, while for the optimal ...

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Stability of noisy Metropolis–Hastings

Stability of noisy Metropolis–Hastings

... noisy algorithm, initially conceptualised as Monte Carlo within Metropolis, which has also been studied but to a lesser ...standard MetropolisHastings chain are given, as well as convergence ...

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Metropolis-Hastings prefetching algorithms

Metropolis-Hastings prefetching algorithms

... although a parallel program could be used to automise the procedure of running the same program with di¤erent inputs on several machines (Rosenthal (2000); Azzini et al. (2007)). In some situations it may also be of ...

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Accelerating Metropolis - Hastings algorithms by delayed acceptance

Accelerating Metropolis - Hastings algorithms by delayed acceptance

... the MetropolisHastings acceptance ...ceptance algorithm can be applied by simply splitting between the prior p J (ψ) and the likelihood `(ψ|x) ratios, the latter being computed ...

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Block-Wise Pseudo-Marginal Metropolis-Hastings

Block-Wise Pseudo-Marginal Metropolis-Hastings

... In many statistical applications the likelihood is analytically or computationally intractable, making it difficult to carry out Bayesian inference. An example of models where the likelihood is often intractable are ...

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Adaptive hybrid Metropolis-Hastings samplers for DSGE models

Adaptive hybrid Metropolis-Hastings samplers for DSGE models

... Dynamic Stochastic General Equilibrium (DSGE) models are commonly estimated using Bayesian methods. A prior distribution for the model parameters is updated to a posterior distribution using likelihood information, with ...

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Spectrum of the Metropolis-Hastings chain with an application to geometric ergodicity

Spectrum of the Metropolis-Hastings chain with an application to geometric ergodicity

... Walk Metropolis-Hastings (SRWMH) is still widely ...SRWMH algorithm to be geometrically ...SRWMH algorithm has a polynomial rate of ...

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Austerity in MCMC Land: Cutting the Metropolis-Hastings Budget

Austerity in MCMC Land: Cutting the Metropolis-Hastings Budget

... better algorithm can be obtained by adapting this threshold over ...adaptive algorithm can tune bias and variance contributions in such a way that at every mo- ment our risk (the sum of squared bias and ...

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