Certain Systems Arising In Stochastic Gradient Descent
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Degree type
Doctor of Philosophy (PhD)
Graduate group
Mathematics
Discipline
Subject
Mathematics
Funder
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Copyright date
2019-10-23T20:19:00-07:00
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Author
Karatapanis, Konstantinos
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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.
Advisor
Robin Pemantle
Date of degree
2019-01-01