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Optimizing Reflected Brownian Motion: A Numerical Study

This thesis focuses on optimization on a generic objective function based on reflected Brownian motion (RBM). We investigate in several approaches including the partial differential equation approach where we write our objective function in terms of a Hamilton-Jacobi-Bellman equation using the dynamic programming principle and the gradient descent approach where we use two different gradient estimators. We provide extensive numerical results with the gradient descent approach and we discuss the difficulties and future study opportunities for this problem.

  1. 10.25394/pgs.9963623.v1
Identiferoai:union.ndltd.org:purdue.edu/oai:figshare.com:article/9963623
Date17 October 2019
CreatorsZihe Zhou (7483880)
Source SetsPurdue University
Detected LanguageEnglish
TypeText, Thesis
RightsCC BY 4.0
Relationhttps://figshare.com/articles/Optimizing_Reflected_Brownian_Motion_A_Numerical_Study/9963623

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