Searching for structured interactions in and between datasets

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Abstract/Contents

Abstract
This dissertation considers two problems related to finding structured interactions in and between datasets. The first problem is to estimate interaction terms in a regression where the interaction coefficients are assumed to have a particular low-rank structure. The second problem is to identify relationships between datasets using extensions of recent work on regularized canonical correlation analysis. We propose methodologies and computational strategies based on regularized regression techniques that are well-suited to modern datasets where the number of features may be much larger than the number of observations. The final chapter provides a theoretical result on the performance of a low-rank interaction estimation procedure that motivates its use in large-scale problems.

Description

Type of resource text
Form electronic; electronic resource; remote
Extent 1 online resource.
Publication date 2012
Issuance monographic
Language English

Creators/Contributors

Associated with Klingenberg, Bradley Jay
Associated with Stanford University, Department of Statistics
Primary advisor Taylor, Jonathan E
Thesis advisor Taylor, Jonathan E
Thesis advisor Hastie, Trevor
Thesis advisor Walther, Guenther
Advisor Hastie, Trevor
Advisor Walther, Guenther

Subjects

Genre Theses

Bibliographic information

Statement of responsibility Bradley Jay Klingenberg.
Note Submitted to the Department of Statistics.
Thesis Thesis (Ph.D.)--Stanford University, 2012.
Location electronic resource

Access conditions

Copyright
© 2012 by Bradley Jay Klingenberg
License
This work is licensed under a Creative Commons Attribution 3.0 Unported license (CC BY).

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