Robust learning : information theory and algorithms

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Abstract/Contents

Abstract
We study the problem of robust learning in the presence of outliers when the dimensionality of the underlying space is large. We first develop a criterion, called resilience, under which robust learning is information-theoretically possible. We show that resilience gives tight bounds in many cases, and study its finite-sample behavior. Next, we turn our attention to efficient algorithms. We present two classes of algorithms---based on moment estimation and duality, respectively---that provide robust estimates as long as certain moments of the data are bounded. We apply these algorithms to mean estimation, stochastic optimization, and clustering.

Description

Type of resource text
Form electronic resource; remote; computer; online resource
Extent 1 online resource.
Place California
Place [Stanford, California]
Publisher [Stanford University]
Copyright date 2018; ©2018
Publication date 2018; 2018
Issuance monographic
Language English

Creators/Contributors

Author Steinhardt, Jacob
Degree supervisor Liang, Percy
Thesis advisor Liang, Percy
Thesis advisor Duchi, John
Thesis advisor Valiant, Gregory
Degree committee member Duchi, John
Degree committee member Valiant, Gregory
Associated with Stanford University, Computer Science Department.

Subjects

Genre Theses
Genre Text

Bibliographic information

Statement of responsibility Jacob Steinhardt.
Note Submitted to the Computer Science Department.
Thesis Thesis Ph.D. Stanford University 2018.
Location electronic resource

Access conditions

Copyright
© 2018 by Jacob Noah Steinhardt
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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