Accelerating Markov Chains Using Spectral Information

michaelchchoi · x · 2026-07-18

The post highlights an interesting concept: **using spectral information to accelerate Markov chains**, with plans to write a full article on it. The quoted content mentions an approximate optimization method similar to "spectral clustering," applicable to **two-block** and more general **k-block averaging kernels**. This approach utilizes the **bottom-k eigenvalues** rather than the conventional top-k perspective.

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