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Advances in Domain Adaptation Theory

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Advances in Domain Adaptation Theory gives current, state-of-the-art results on transfer learning, with a particular focus placed on domain adaptation from a theoretical point-of-view. The book begins with a brief overview of the most popular concepts used to provide generalization guarantees, including sections on Vapnik-Chervonenkis (VC), Rademacher, PAC-Bayesian, Robustness and Stability based bounds. In addition, the book explains domain adaptation problem and describes the four major families of theoretical results that exist in the literature, including the Divergence based bounds. Next, PAC-Bayesian bounds are discussed, including the original PAC-Bayesian bounds for domain adaptation and their updated version. Additional sections present generalization guarantees based on the robustness and stability properties of the learning algorithm.

Author(s): Ievgen Redko, Amaury Habrard, Emilie Morvant, Marc Sebban, Younès Bennani
Edition: 1
Publisher: ISTE Press
Year: 2019

Language: English
Pages: 194

Cover......Page 1
Advances in Domain
Adaptation Theory
......Page 3
Copyright_2019
......Page 4
Abstract
......Page 5
Notations
......Page 7
Introduction
......Page 9
1 State of the Art of Statistical
Learning Theory......Page 14
2 Domain Adaptation Problem......Page 33
3 Seminal Divergence-based
Generalization Bounds......Page 49
4 Impossibility Theorems
for Domain Adaptation......Page 70
5 Generalization Bounds with
Integral Probability Metrics......Page 85
6 PAC–Bayesian Theory for
Domain Adaptation......Page 103
7 Domain Adaptation Theory Based on
Algorithmic Properties......Page 115
8 Iterative Domain Adaptation Methods......Page 131
Conclusions and Discussions......Page 144
Appendix 1.

Proofs of the Main Results of Chapter 3......Page 146
Appendix 2.

Proofs of the Main Results of Chapter 4......Page 160
Appendix 3.

Proofs of the Main Results of Chapter 5......Page 172
Appendix 4.

Proofs of the Main Results of Chapter 6......Page 178
Appendix 5.

Proofs of the Main Results of Chapter 8......Page 181
References
......Page 184
Index......Page 193