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Finite Sample Bounds and Path Selection for Sequential Monte Carlo

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서명/저자사항Finite Sample Bounds and Path Selection for Sequential Monte Carlo.
개인저자Marion, Joseph.
단체저자명Duke University. Statistical Science.
발행사항[S.l.]: Duke University., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항118 p.
기본자료 저록Dissertation Abstracts International 80-02B(E).
Dissertation Abstract International
ISBN9780438377356
학위논문주기Thesis (Ph.D.)--Duke University, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 80-02(E), Section: B.
Adviser: Scott C. Schmidler.
요약Sequential Monte Carlo (SMC) samplers have received attention as an alternative to Markov chain Monte Carlo for Bayesian inference problems due to their strong empirical performance on difficult multimodal problems, natural synergy with parallel
요약In this thesis, we provide conditions under which SMC provides a randomized approximation scheme, showing how to choose the number of of particles and Markov kernel transitions at each SMC step in order to ensure an accurate approximation with b
요약A key advantage of this approach is that the bounds provide insight into the selection of efficient sequences of SMC distributions. When the target distribution is spherical Gaussian or log-concave, we show that judicious selection of interpolat
요약Selecting efficient sequences of distributions is a problem that also arises in the estimation of normalizing constants using path sampling. In the final chapter of this thesis, we develop automatic methods for choosing sequences of distribution
일반주제명Statistics.
언어영어
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