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Markov Chain Monte Carlo

[ˈmɑrkɔv tʃeɪn ˈmɑnti ˈkɑrloʊ]
Machine Learning
Last updated: December 9, 2024

Definition

A class of algorithms for sampling from probability distributions based on constructing a Markov chain that converges to the desired distribution.

Detailed Explanation

MCMC methods combine Markov chains with Monte Carlo sampling to generate samples from complex probability distributions. The algorithms construct a Markov chain whose stationary distribution is the target distribution of interest. Common implementations include Metropolis-Hastings and Gibbs sampling algorithms.

Use Cases

Bayesian inference, physics simulations, computational biology, financial modeling, and machine learning parameter estimation.

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