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(Introduction)
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(Context)
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(Notation)
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4044 0 obj
(A review of sequential Monte Carlo)
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(Sequential Monte Carlo methods)
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(Discrete time FeynmanKac models)
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(Asymptotic variances)
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(Summary)
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<>
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(Sequential Monte Carlo samplers)
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<>
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(Methodology)
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(Tempering)
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(Bayesian posteriors)
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(Tempering outside the SMC framework)
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(Other applications)
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(Bayesian inference)
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(Interpolation to independence)
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(Simulated annealing)
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(Summary)
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endobj
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<>
endobj
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(Schedule selection for sequential Monte Carlo samplers)
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(The schedule selection problem)
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4125 0 obj
(Overview)
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endobj
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<>
endobj
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(Approaches to temperature schedule selection)
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(Annealed importance sampling)
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(Adaptive temperature selection)
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endobj
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(Path sampling)
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endobj
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(A criterion for optimality)
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(The relative asymptotic variance decomposition)
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(Occasional resampling)
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(The normalising constant estimator)
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(Summary)
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endobj
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<>
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(Optimal schedules for perfectly-mixing Markov kernels)
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(The perfectly-mixing setting)
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(Preliminary results)
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(Optimal distribution schedule for fixed n)
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(Optimal distribution schedule for fixed n)
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(Properties of the chi-squared distance)
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(Chained chi-squared distances)
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(Summary)
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endobj
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<>
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(Approaches to schedule selection for general Markov kernels)
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(Numerical optimisations for normal distributions)
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(Procedures using variance estimators)
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(Building a schedule by addition of intermediate distributions)
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(Refining a schedule by removal of intermediate distributions)
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(Simulated annealing using reversible jump MCMC)
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(Related problems)
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<>
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(Summary)
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endobj
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<>
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(A Monte Carlo framework for distributed settings)
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(Markov chain Monte Carlo and big data)
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(Other approaches)
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(MCMC methods for distributed data)
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(Embarrassingly parallel algorithms)
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(Other approaches)
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endobj
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(Summary)
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<>
endobj
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<>
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(Global consensus Monte Carlo)
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endobj
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(The instrumental hierarchical model)
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(Motivating concepts)
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(Distributed Metropolis-within-Gibbs)
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(Repeated MCMC kernel iterations)
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(Pseudo-marginal MCMC kernels)
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(Comparisons with embarrassingly parallel approaches)
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(Implementation considerations)
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endobj
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<>
endobj
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(Choosing the regularisation parameter)
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endobj
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endobj
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(Choosing the Markov transition densities)
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endobj
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(Theoretical analysis for a simple model)
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(Inferring the mean of a normal distribution)
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(Random effects models)
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endobj
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endobj
4287 0 obj
(Summary)
endobj
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<>
endobj
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<>
endobj
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(A sequential Monte Carlo approach to global consensus)
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endobj
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endobj
4293 0 obj
(Constructing an SMC sampler)
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endobj
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endobj
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(Bias correction using local linear regression)
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(Variance estimation for weighted least squares)
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(Determining a subset of estimates to use for linear regression)
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(Stopping rule)
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4308 0 obj
(Summary)
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endobj
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endobj
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(Examples and applications)
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(Gibbs sampler)
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endobj
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(SMC sampler and bias correction procedure)
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(Log-normal model)
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<>
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4328 0 obj
<>
endobj
4329 0 obj
(Metropolis-within-Gibbs)
endobj
4330 0 obj
<>
endobj
4331 0 obj
<>
endobj
4332 0 obj
(SMC sampler)
endobj
4333 0 obj
<>
endobj
4334 0 obj
<>
endobj
4335 0 obj
(Stochastic volatility model)
endobj
4336 0 obj
<>
endobj
4337 0 obj
<>
endobj
4338 0 obj
(Summary)
endobj
4339 0 obj
<>
endobj
4340 0 obj
<>
endobj
4341 0 obj
(Conclusion)
endobj
4342 0 obj
<>
endobj
4343 0 obj
<>
endobj
4344 0 obj
(Summary)
endobj
4345 0 obj
<>
endobj
4346 0 obj
<>
endobj
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(Contributions)
endobj
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<>
endobj
4349 0 obj
<>
endobj
4350 0 obj
(Directions for further research)
endobj
4351 0 obj
<>
endobj
4352 0 obj
<>
endobj
4353 0 obj
(Procedures for schedule selection)
endobj
4354 0 obj
<>
endobj
4355 0 obj
<>
endobj
4356 0 obj
(Extensions of the schedule selection problem)
endobj
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<>
endobj
4358 0 obj
<>
endobj
4359 0 obj
(The proposed global consensus algorithms)
endobj
4360 0 obj
<>
endobj
4361 0 obj
<>
endobj
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(Other global consensus applications)
endobj
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<>
endobj
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<>
endobj
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(Abbreviations)
endobj
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<>
endobj
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<>
endobj
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(References)
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<>
endobj
4370 0 obj
<>
endobj
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<>
endobj
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<>
endobj
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[ 4029 0 R/XYZ 87.75 578.1843 0]
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<>
endobj
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[ 4376 0 R 4377 0 R 4378 0 R]
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<>
endobj
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<>
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<>
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