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@@ -15,7 +15,7 @@ Multigrid Monte Carlo combines ideas from **multigrid methods**—a class of eff
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## Key achievements
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Compared to a Gibbs sampler, **our MGMC sampler significantly reduces sampling efficiency**: the integrated autocorrelation time is close to 1, which corresponds to nearly independent samples (left figure). As far as overall performance is concerned: for large problem sizes, **our MGMC sampler can produce approximately independent samples 3$\times$ faster** than the widely used Cholesky reference method (right figure).
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Compared to a Gibbs sampler, **our MGMC sampler significantly reduces sampling efficiency**: the integrated autocorrelation time is close to 1, which corresponds to nearly independent samples (left figure). As far as overall performance is concerned: for large problem sizes, **our MGMC sampler can produce approximately independent samples 3 times faster** than the widely used Cholesky reference method (right figure).
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![sampling efficiency and performance](figures/summary.png)
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