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PHYSTAT Seminar: Accelerating Bayesian Computation: Parallelizing Markov Chain Monte Carlo

Allen Caldwell · CERN

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A full-fledged Bayesian computation requries evaluation of the posterior probability density in the complete parameter space. This can become very time consuming using commonly used algorithms such as Markov Chain Monte Carlos. We present ideas on the parallelization of the Markov Chain Monte Carlo approach via multi-proposal generation and via parameter space partitioning. For the former approach, recent developments in weighted sample generation are described and initial results presented. For massive parallelization via parameter space partitioning, the calculation of the marginal likelihood (evidence) is necessary and we solve this task with the Adaptive Harmonic Mean Integration (AHMI) algorithm. We describe the algorithm and it's mathematical properties, and report the results using it on multiple test cases.

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The talk

  1. PHYSTAT Seminar: Accelerating Bayesian Computation: Parallelizing Markov Chain Monte Carlo 2020-01-15 · 1 h 8 min · CERN's player

Credits and licence

Institution
CERN
Department
EP-IT Data science seminars
Speaker
Allen Caldwell
Year
2020
Language
English
Subjects
Computer science
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
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