Date of Award

2019

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Graduate Group

Mathematics

First Advisor

Robin Pemantle

Abstract

Stochastic approximations is a rich branch of probability theory and has a wide range of application. Here we study stochastic approximations from the perspective of gradient descent. An important question is what is the asymptotic limit of a stochastic approximation. In that spirit we will provide a detailed description for the limiting behavior of certain one dimensional stochastic approximations.

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Included in

Mathematics Commons

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