most citedWhen does Metropolized Hamiltonian Monte Carlo provably outperform Metropolis-adjusted Langevin algorithm?

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math.MG2026

Digesting the proof of the sharp thin-shell inequality

Yuansi Chen, Boaz Klartag

We present a proof that determines the optimal value of the universal constant in the thin-shell theorem for log-concave distributions in high dimensions. We prove that for any log…