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Particle MCMC algorithms and architectures for accelerating inference in state-space models.

Grigorios Mingas1, Leonardo Bottolo2, Christos-Savvas Bouganis1

  • 1Department of Electrical and Electronic Engineering, Imperial College London, London, SW7 2AZ, UK.

International Journal of Approximate Reasoning : Official Publication of the North American Fuzzy Information Processing Society
|April 5, 2017
PubMed
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A new algorithm, particle Markov Chain Monte Carlo (pMCMC), and FPGA hardware accelerate sampling for complex State-Space Models (SSMs), enabling large-scale genetic data analysis.

Area of Science:

  • Computational Statistics
  • Bioinformatics
  • Hardware Acceleration

Background:

  • Particle Markov Chain Monte Carlo (pMCMC) is crucial for Bayesian inference in State-Space Models (SSMs).
  • High computational costs and poor multi-modal posterior performance limit pMCMC's scalability with large datasets.
  • Existing methods struggle with complex SSMs in scientific applications.

Purpose of the Study:

  • To enhance pMCMC efficiency for multi-modal posteriors using multiple chains (ppMCMC).
  • To develop custom parallel hardware architectures on FPGAs for pMCMC and ppMCMC.
  • To enable previously intractable large-scale SSM-based data analyses.

Main Methods:

  • Proposed a novel parallel pMCMC algorithm (ppMCMC) utilizing multiple Markov chains.
Keywords:
Bayesian inferenceField programmable gate arrayHardware accelerationMarkov Chain Monte CarloParticle filter

Related Experiment Videos

  • Designed and implemented custom parallel hardware architectures on Field Programmable Gate Arrays (FPGAs).
  • Evaluated the algorithm and architectures using a large-scale genetics case study.
  • Main Results:

    • ppMCMC demonstrated 1.96x higher sampling efficiency than pMCMC on CPUs.
    • FPGA implementations achieved significant speedups: pMCMC (12.1x CPU, 10.1x GPU) and ppMCMC (34.9x CPU, 41.8x GPU).
    • FPGA architectures offered substantial energy efficiency gains (pMCMC: 53x, ppMCMC: 173x).

    Conclusions:

    • The ppMCMC algorithm and FPGA architectures effectively address computational challenges in SSM analysis.
    • This work significantly advances the feasibility of large-scale, complex data analysis in fields like genetics.
    • The developed methods pave the way for more efficient and accessible Bayesian inference in scientific research.