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💬 프롬프트 라이브러리 📖 AI 용어 사전 🔗 유용한 링크

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Warm-up chain

Initial sequence of MCMC iterations used to allow the Markov chain to reach its stationary distribution before collecting samples for inference.

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Burn-in phase

Initial period of the MCMC algorithm during which samples are discarded because they do not yet come from the target stationary distribution.

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Convergence period

Time interval required for the Markov chain to asymptotically reach its stationary distribution with a given precision.

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Adaptive sampling

Technique where MCMC algorithm parameters are dynamically adjusted during the warm-up phase to optimize sampling efficiency.

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Parameter tuning

Process of adjusting MCMC algorithm hyperparameters (step size, variances) during the warm-up phase to improve the acceptance rate.

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Burn-in length

Number of initial iterations to discard in an MCMC chain, determined empirically or via convergence diagnostics.

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Convergence diagnostic

Set of statistical methods (Gelman-Rubin, Raftery-Lewis) used to evaluate whether the chain has reached its stationary distribution.

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Scaling samples

First generated samples used to estimate the characteristics of the target distribution and adjust the chain parameters.

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Warm-up chain

Initial Markov chain whose sole purpose is to reach thermodynamic equilibrium before starting the main sampling.

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Chain stabilization

Process by which the Markov chain loses memory of its initial state and converges to its invariant distribution.

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Starting points

Initial values chosen to initialize the MCMC chain, whose influence must disappear after the warm-up phase.

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Transition samples

Intermediate observations generated during the warm-up phase that are not used in the final inference.

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Warm-up time

Computational duration required for the chain to reach thermodynamic equilibrium, measured in number of iterations or CPU time.

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Detailed balance

Mathematical condition ensuring that the probability flow between two states is reversible, essential for MCMC convergence.

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Acceptance-rejection

Fundamental mechanism of MCMC algorithms where proposals are accepted or rejected according to a probabilistic criterion.

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Effective sample size

Number of equivalent independent samples in an autocorrelated chain, calculated after discarding burn-in.

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