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Bayesian designs for sequential lear...
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Xie, Jing.
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Bayesian designs for sequential learning problems.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Bayesian designs for sequential learning problems./
作者:
Xie, Jing.
面頁冊數:
196 p.
附註:
Source: Dissertation Abstracts International, Volume: 75-11(E), Section: B.
Contained By:
Dissertation Abstracts International75-11B(E).
標題:
Operations Research. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3583218
ISBN:
9781321126723
Bayesian designs for sequential learning problems.
Xie, Jing.
Bayesian designs for sequential learning problems.
- 196 p.
Source: Dissertation Abstracts International, Volume: 75-11(E), Section: B.
Thesis (Ph.D.)--Cornell University, 2014.
This item must not be sold to any third party vendors.
We consider the Bayesian formulation of a number of learning problems, where we focus on sequential sampling procedures for allocating simulation effort efficiently.
ISBN: 9781321126723Subjects--Topical Terms:
626629
Operations Research.
Bayesian designs for sequential learning problems.
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Source: Dissertation Abstracts International, Volume: 75-11(E), Section: B.
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Adviser: Peter I. Frazier.
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Thesis (Ph.D.)--Cornell University, 2014.
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We consider the Bayesian formulation of a number of learning problems, where we focus on sequential sampling procedures for allocating simulation effort efficiently.
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We derive Bayes-optimal policies for the problem of multiple comparisons with a known standard, showing that they can be computed efficiently when sampling is limited by probabilistic termination or sampling costs. We provide a tractable method for computing upper bounds on the Bayes-optimal value of a ranking and selection problem, which enables evaluation of optimality gaps for existing ranking and selection procedures. Applying techniques from optimal stopping, multi-armed bandits and Lagrangian relaxation, we are able to efficiently solve the corresponding dynamic programs.
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We develop a new value-of-information-based procedure for the problem of Bayesian optimization via simulation, which incorporates both correlated prior beliefs and correlated sampling distributions. We also introduce a sequential Bayesian algorithm for optimization of expensive functions under low-dimensional input uncertainties. These implementations take advantage of machine learning tools that enable exploring combinatorially large solution spaces, or estimating expectations of simulation output variables with random inputs.
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We present theoretical results characterizing the proposed procedures, compare them numerically against previously developed or standard benchmarking procedures, and apply them to applications in emergency services, manufacturing, and health care.
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