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Chain Monte-Carlo

On the containment condition for adaptive Markov Chain Monte Carlo algorithms

On the containment condition for adaptive Markov Chain Monte Carlo algorithms

... Markov chain Monte Carlo algorithms are widely used for approximately sampling from com- plicated probability distributions. However, it is often necessary to tune the scaling and other parameters ...

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Markov chain Monte Carlo on the GPU

Markov chain Monte Carlo on the GPU

... Markov chain Monte Carlo refers to the concept of using Markov chains for random sam- pling of our state space as a tool for approximating the number of states that we ...

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Markov Chain Monte Carlo to Study the Estimation of the Coefficient of Variation

Markov Chain Monte Carlo to Study the Estimation of the Coefficient of Variation

... Markov Chain Monte Carlo (MCMC) techniques to tackle this problem, which allows us to construct the credible ...Finally, Monte Carlo simulations are performed to observe the behavior of ...

7

Variance bounding and geometric ergodicity of Markov chain Monte Carlo kernels for approximate Bayesian computation

Variance bounding and geometric ergodicity of Markov chain Monte Carlo kernels for approximate Bayesian computation

... Markov chain Monte Carlo kernels used to facilitate inference in this setting can fail to be vari- ance bounding and hence geometrically ergodic, which can have consequences for the reliability of ...

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On solving integral equations using Markov chain Monte Carlo methods

On solving integral equations using Markov chain Monte Carlo methods

... In this paper, we propose an original approach to the solution of Fredholm equations of the second kind. We interpret the standard von Neumann expansion of the solu- tion as an expectation with respect to a probability ...

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Information geometric Markov chain Monte Carlo methods using diffusions

Information geometric Markov chain Monte Carlo methods using diffusions

... Markov chain Monte Carlo methods were introduced, the manifold Metropolis-adjusted Langevin algorithm and Riemannian manifold Hamiltonian Monte ...

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Quasi Monte Carlo and multilevel Monte Carlo methods for computing posterior expectations in elliptic inverse problems

Quasi Monte Carlo and multilevel Monte Carlo methods for computing posterior expectations in elliptic inverse problems

... It would be interesting to compare the performance of the ratio estimators considered in this work to Markov chain Monte Carlo (MCMC) and multilevel Markov chain Monte Carlo ...

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Speculative moves : multithreading Markov Chain Monte Carlo programs

Speculative moves : multithreading Markov Chain Monte Carlo programs

... Monte Carlo applications are generally considered embarrassingly parallel [7], since samples can be obtained twice as fast by running the problem on two independent ...Markov Chain Monte ...

13

Bayesian Inference for PCFGs via Markov Chain Monte Carlo

Bayesian Inference for PCFGs via Markov Chain Monte Carlo

... Markov chain Monte Carlo algorithms (a Gibbs and a Hastings sampling algorithm) for sampling from the posterior distribution over parse trees given a corpus of their yields and a Dirichlet product ...

8

Charaterisation of polymeric biomacromolecules using linear dichroism and Markov chain Monte Carlo

Charaterisation of polymeric biomacromolecules using linear dichroism and Markov chain Monte Carlo

... The Markov chain Monte Carlo (MCMC) algorithm is popular in many fields. The methods given in chapter 6 describe a practical and general approach for modelling of a number of systems. The MCMC ...

221

Parallel Markov Chain Monte Carlo

Parallel Markov Chain Monte Carlo

... Markov Chain Monte Carlo iterations in parallel without violating the definition of a Markov ...the chain to converge - this is the domain of statisticians and the writers of the state-change ...

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Bayesian System Identification of Nonlinear Dynamical Systems using a Fast MCMC Algorithm

Bayesian System Identification of Nonlinear Dynamical Systems using a Fast MCMC Algorithm

... Markov Chain Monte Carlo (MCMC) methods which, via the evolution of an ergodic Markov chain through the parameter space, allow one to generate samples from the posterior parameter distribution ...

7

MCMC Technique to Study the Bayesian Estimation using Record Values from the Lomax Distribution

MCMC Technique to Study the Bayesian Estimation using Record Values from the Lomax Distribution

... Markov Chain Monte Carlo (MCMC) techniques to gen- erate samples from the posterior distributions and in turn com- puting the Bayes ...using Monte Carlo simula- ...

7

Comparison of the Bayesian Methods on  Interval Censored Data for Weibull  Distribution

Comparison of the Bayesian Methods on Interval Censored Data for Weibull Distribution

... Markov Chain Monte Carlo is used, where the full conditional distribution for the scale and shape parameters are obtained via Metropolis-Hastings ...

9

Stability and examples of some approximate MCMC algorithms

Stability and examples of some approximate MCMC algorithms

... Monte Carlo algorithms are without doubt one of the most important class of meth- ods that, together with modern computers, have modified the everyday practice of statistical ...Markov Chain ...

148

Accelerating MCMC algorithms

Accelerating MCMC algorithms

... Markov chain Monte Carlo (MCMC) algorithms have been used for nearly 60 years and have become a reference method for analyzing Bayesian complex models in the early 1990s (Gelfand & Smith, ...

14

A non iterative (trivial) method for posterior inference in stochastic volatility models

A non iterative (trivial) method for posterior inference in stochastic volatility models

... cannot be computed in closed form as the integral is not available analytically, and, even worse, it cannot be expressed as a product of univariate integrals. Relative to the class of problems considered by Tan, Tian and ...

7

II. DEVELOPING A NEW ALGORITHM

II. DEVELOPING A NEW ALGORITHM

... (Markov Chain Monte Carlo Multiple Imputation), MCMC SI (Markov Chain Monte Carlo Single Imputation) and MS (Mean Substitution) over different percentages of missing ...

6

Uncovering mental representations with Markov chain Monte Carlo

Uncovering mental representations with Markov chain Monte Carlo

... Markov chain Monte Carlo is one of the basic tools in modern statistical computing, providing the basis for numerical simulations conducted in a wide range of ...

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Stochastic gradient Markov chain Monte Carlo

Stochastic gradient Markov chain Monte Carlo

... Markov chain Monte Carlo (MCMC) algorithms are generally regarded as the gold standard technique for Bayesian ...scalable Monte Carlo algorithms that have a significantly lower ...

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