Semi-supervised learning on graphs : a statistical approach

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Abstract/Contents

Abstract
Data on graphs are growing tremendously in size and prevalence these days; consider the World Wide Web graph or the Facebook social network. In semi-supervised learning on graphs, features observed at one node are used to estimate missing values at other nodes. Many prediction methods have been proposed in the machine learning community over the past few years. In this thesis we show that several such proposals are equivalent to kriging predictors based on a fixed covariance matrix driven by the link structure of the graph. We then propose a data-driven estimator of the correlation structure that exploits patterns among the observed response values. We also show how we can scale some of the algorithms to large graphs. Finally, we investigate the fundamental smoothness assumption underlying many prediction methods by exploring some normality properties arising from empirical data analysis.

Description

Type of resource text
Form electronic; electronic resource; remote
Extent 1 online resource.
Publication date 2010
Issuance monographic
Language English

Creators/Contributors

Associated with Xu, Ya, (Researcher)
Associated with Stanford University, Department of Statistics
Primary advisor Owen, Art B
Thesis advisor Owen, Art B
Thesis advisor Tibshirani, Robert
Thesis advisor Wong, Wing Tak Jack Wong
Advisor Tibshirani, Robert
Advisor Wong, Wing Tak Jack Wong

Subjects

Genre Theses

Bibliographic information

Statement of responsibility Ya Xu.
Note Submitted to the Department of Statistics.
Thesis Thesis (Ph.D.)--Stanford University, 2010.
Location electronic resource

Access conditions

Copyright
© 2010 by Ya Xu
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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