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Sequential Monte Carlo

In: Monte Carlo Methods

Author

Listed:
  • Adrian Barbu

    (Florida State University, Department of Statistics)

  • Song-Chun Zhu

    (University of California, Los Angeles, Departments of Statistics and Computer Science)

Abstract

Sequential Monte Carlo Sequential Monte Carlo (SMC) is used when the distribution of interest is one-dimensional or multi-dimensional and factorizable. If f(x) denotes the true probability distribution function controlling a process and π(x) denotes a target probability distribution based on a model, then the goal is to find a model to make the target density function π(x) converge to f(x). In order to find this model, a known, trial probability density g(x) may be used. In this chapter several concepts related to the selection of g(x) for SMC are covered including sample weighting and importance sampling. Applications covered include self-avoiding walks, Parzen windows, ray tracing, particle filtering, and glossy highlights. The chapter ends with a discussion of Monte Carlo Tree Search.

Suggested Citation

  • Adrian Barbu & Song-Chun Zhu, 2020. "Sequential Monte Carlo," Springer Books, in: Monte Carlo Methods, chapter 2, pages 19-48, Springer.
  • Handle: RePEc:spr:sprchp:978-981-13-2971-5_2
    DOI: 10.1007/978-981-13-2971-5_2
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