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Betancourt,Identifying the optimal integration time in hamiltonian monte carlo, 1601.00225

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

By leveraging the natural geometry of a smooth probabilistic system, Hamiltonian Monte Carlo yields computationally efficient Markov Chain Monte Carlo estimation. At least provided that the algorithm is sufficiently well-tuned. In this paper I show how the geometric foundations of Hamiltonian Monte Carlo implicitly identify the optimal choice of these parameters, especially the integration time. I then consider the practical consequences of these principles in both existing algorithms and a new implementation called \emph{Exhaustive Hamiltonian Monte Carlo} before demonstrating the utility of these ideas in some illustrative examples.

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2026 2

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UNVERDICTED 2

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representative citing papers

Revisiting the Volume Hypothesis

cs.LG · 2026-06-30 · unverdicted · novelty 6.0

The generalization advantage of SGD over random sampling diminishes with growing training set size in binary networks, as measured by joint density of states over train and test accuracy.

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Showing 2 of 2 citing papers.

  • Revisiting the Volume Hypothesis cs.LG · 2026-06-30 · unverdicted · none · ref 184 · internal anchor

    The generalization advantage of SGD over random sampling diminishes with growing training set size in binary networks, as measured by joint density of states over train and test accuracy.

  • Enhanced Sampling Techniques for Lattice Gauge Theory hep-lat · 2026-04-01 · unverdicted · none · ref 36

    Metadynamics bias potentials and volume-extrapolation strategies reduce integrated autocorrelation times of topological charge in lattice gauge theories.