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Copy file name to clipboardExpand all lines: tutorials/gaussian-mixture-models/index.qmd
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```
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We run a MCMC simulation to obtain an approximation of the posterior distribution of the parameters $\mu$ and $w$ and assignments $k$.
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We use a `Gibbs` sampler that combines a [particle Gibbs](https://www.stats.ox.ac.uk/%8Edoucet/andrieu_doucet_holenstein_PMCMC.pdf) sampler for the discrete parameters (assignments $k$) and a Hamiltonian Monte Carlo sampler for the continuous parameters ($\mu$ and $w$).
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We use a `Gibbs` sampler that combines a [particle Gibbs](https://www.stats.ox.ac.uk/%7Edoucet/andrieu_doucet_holenstein_PMCMC.pdf) sampler for the discrete parameters (assignments $k$) and a Hamiltonian Monte Carlo sampler for the continuous parameters ($\mu$ and $w$).
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We generate multiple chains in parallel using multi-threading.
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