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Diagnosing Suboptimal Cotangent Disintegrations in Hamiltonian Monte Carlo

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arxiv 1604.00695 v1 pith:ALLOZTAT submitted 2016-04-03 stat.ME

Diagnosing Suboptimal Cotangent Disintegrations in Hamiltonian Monte Carlo

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keywords suboptimalcarlocotangenthamiltonianmontewhenalgorithmapplication
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When properly tuned, Hamiltonian Monte Carlo scales to some of the most challenging high-dimensional problems at the frontiers of applied statistics, but when that tuning is suboptimal the performance leaves much to be desired. In this paper I show how suboptimal choices of one critical degree of freedom, the cotangent disintegration, manifest in readily observed diagnostics that facilitate the robust application of the algorithm.

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