A Conceptual Introduction to Hamiltonian Monte Carlo. Betancourt, M. ArXiv e-prints, 1701:arXiv:1701.02434, January, 2017.
Paper abstract bibtex Hamiltonian Monte Carlo has proven a remarkable empirical success, but only recently have we begun to develop a rigorous under- standing of why it performs so well on difficult problems and how it is best applied in practice. Unfortunately, that understanding is con- fined within the mathematics of differential geometry which has limited its dissemination, especially to the applied communities for which it is particularly important. In this review I provide a comprehensive conceptual account of these theoretical foundations, focusing on developing a principled intuition behind the method and its optimal implementations rather of any ex- haustive rigor. Whether a practitioner or a statistician, the dedicated reader will acquire a solid grasp of how Hamiltonian Monte Carlo works, when it succeeds, and, perhaps most importantly, when it fails.
@article{betancourt_conceptual_2017,
title = {A {Conceptual} {Introduction} to {Hamiltonian} {Monte} {Carlo}},
volume = {1701},
url = {http://adsabs.harvard.edu/abs/2017arXiv170102434B},
abstract = {Hamiltonian Monte Carlo has proven a remarkable empirical success, but only recently have we begun to develop a rigorous under- standing of why it performs so well on difficult problems and how it is best applied in practice. Unfortunately, that understanding is con- fined within the mathematics of differential geometry which has limited its
dissemination, especially to the applied communities for which it is particularly important. In this review I provide a comprehensive conceptual account of these theoretical foundations, focusing on developing a principled intuition behind the method and its optimal implementations rather of any ex- haustive rigor. Whether a practitioner or a statistician, the dedicated reader will acquire a solid grasp of how Hamiltonian Monte Carlo works, when it succeeds, and, perhaps most importantly, when it fails.},
urldate = {2017-01-29},
journal = {ArXiv e-prints},
author = {Betancourt, Michael},
month = jan,
year = {2017},
keywords = {Statistics - Methodology},
pages = {arXiv:1701.02434},
}
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