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An Improved Acceptance Procedure for the Hybrid Monte Carlo Algorithm
Open accessAbstract
Abstract The probability of accepting a candidate move in the hybrid Monte Carlo algorithm can be increased by considering a transition to be between windows of several states at the beginning and end of the trajectory, with a particular state within the selected window then being chosen according to the Boltzmann probabilities. The detailed balance condition used to justify the algorithm still holds with this procedure, provided the start state is randomly positioned within its window. The new procedure is shown empirically to significantly improve the acceptance rate for a test system of uncoupled oscillators. It also allows expectations to be estimated using data from all states in the windows, rather than just states that are accepted.
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Cited by
Stan : A Probabilistic Programming Language
Carpenter, B., Gelman, A., Hoffman, M. D., Lee, D., Goodrich, B., Betancourt, M., Brubaker, M., Guo, J., Li, P., & Riddell, A. (2017) · Journal of Statistical Software · doi:10.18637/jss.v076.i01 · Cited by 7,754
“The MCMC samplers provided include Euclidean manifold Hamiltonian Monte Carlo (EHMC, or just HMC) (Duane, Kennedy, Pendleton, and Roweth 1987; Neal 1994, 2011) and the No-U-Turn sampler (NUTS) (Hoffman and Gelman 2011).”
MethodHandbook of Markov Chain Monte Carlo
Brooks, S., Gelman, A., Jones, G., & Meng, X.-L. (2011) · Chapman & Hall/CRC eBooks · doi:10.1201/b10905 · Cited by 2,993
MCMC Using Hamiltonian Dynamics
Neal, R. M. (2011) · Handbook of Markov Chain Monte Carlo · doi:10.1201/b10905-6 · Cited by 2,574
Self-citationFournier, D. A., Skaug, H. J., Ancheta, J., Ianelli, J., Magnusson, A., Maunder, M. N., Nielsen, A., & Sibert, J. (2012) · Optimization Methods and Software · doi:10.1080/10556788.2011.597854 · Cited by 1,739
Neal, R. M. (2003) · The Annals of Statistics · doi:10.1214/aos/1056562461 · Cited by 1,361
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Metadata
- Authors
- Neal, R. M.
- Venue
- Journal of Computational Physics
- Publisher
- Elsevier BV
- Published
- 1994-03
- Volume
- 111
- Issue
- 1
- Pages
- 194-203
- ISSN
- 0021-9991 (ISSN-L)
- OpenAlex
- W1985715247
- Cited by
- 178
- References
- 0
- FWCI
- 2.08
- Type
- journal article
- Language
- en
- Open access
- green
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