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Từ điển đầy đủ về Trí tuệ nhân tạo

162
danh mục
2.032
danh mục con
23.060
thuật ngữ
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thuật ngữ

Bayesian Calibration

Calibration method using Bayesian inference to estimate model parameters by incorporating prior knowledge and observed data, quantifying uncertainty.

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Likelihood Function

Function measuring the probability of observing the data given specific model parameter values, essential for Bayesian inference.

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Markov Chain Monte Carlo (MCMC)

Class of sampling algorithms that generate samples from complex distributions to approximate posterior distributions in Bayesian calibration.

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Credible Interval

Probability interval containing a specified proportion of a parameter's posterior distribution, the Bayesian equivalent of a confidence interval.

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Hierarchical Bayesian Model

Bayesian model structure with multiple levels of parameters where hyperparameters govern the distributions of lower-level parameters.

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Posterior Predictive Distribution

Distribution of future predictions that incorporates parameter uncertainty by weighting predictions by the posterior distribution.

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Conjugate Prior

Prior distribution chosen to belong to the same family as the posterior distribution, mathematically simplifying Bayesian inference.

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Bayes Factor

Ratio of marginal likelihoods that allows quantitative comparison of different Bayesian models for selection and validation.

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Hamiltonian Monte Carlo

Advanced MCMC algorithm using Hamiltonian mechanics to efficiently explore the parameter space in complex Bayesian models.

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Posterior Predictive Check

Diagnostic validation method comparing observed data to simulated predictions from the posterior distribution to assess model adequacy.

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Bayesian Model Averaging

Approach combining predictions from multiple models weighted by their posterior probabilities to reduce model uncertainty.

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Prior Predictive Distribution

Distribution of predictions based solely on the prior distributions of parameters, used to verify the coherence of initial knowledge.

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