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Metropolis-Hastings Method

MCMC sampling algorithm that generates a Markov chain whose stationary distribution matches a specified target distribution, using an acceptance-rejection criterion.

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Markov Chain Monte Carlo (MCMC)

Class of algorithms for sampling from probability distributions by constructing a Markov chain that has the desired distribution as its equilibrium distribution.

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Likelihood Weighting

Weighted sampling technique where weights are proportional to the likelihood of samples given the observations, used for inference in Bayesian networks.

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Hamiltonian Monte Carlo Sampling

Advanced MCMC variant using Hamiltonian mechanics and gradients to propose efficient moves in parameter space, reducing sample autocorrelation.

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Particle Filtering

Sequential Monte Carlo technique using a set of weighted particles to approximate probability distributions in dynamic state models and Bayesian filters.

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Blocked Gibbs Sampling

Gibbs sampling variant where blocks of variables are sampled simultaneously rather than one variable at a time, improving mixing in certain configurations.

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Robbins-Monro Algorithm

Stochastic search method for finding roots of a function when observations are noisy, fundamental in optimization and adaptive Monte Carlo methods.

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Adaptive MCMC Sampling

Class of MCMC algorithms that adjust their parameters during execution to optimize acceptance rates and mixing properties of the Markov chain.

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Coupling from the past

Monte Carlo technique to generate exact samples from the stationary distribution of a Markov chain by running backwards in time from an infinite past until coalescence.

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