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Metric learning has attracted a lot of interest over the last decade, but the generalization ability of such methods has not been thoroughly studied.
ϵ \epsilon -entropy and ϵ \epsilon -capacity of sets in functional spaces
Andrei N. Kolmogorov and Vassili M. Tikhomirov · 1961
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Isometries for the vector (p,q) norm and the induced (p,q) norm
Anne-Louise Klaus and Chi-Kwong Li · 1995
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Weak convergence and empirical processes
Aad W. van der Vaart and Jon A. Wellner · 2000
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Distance Metric Learning with Application to Clustering with Side-Information
Eric P. Xing, Andrew Y. Ng, Michael I. Jordan, and Stuart J. Russell · 2002
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Stability and Generalization
Olivier Bousquet and André Elisseeff · 2002
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Learning a Distance Metric from Relative Comparisons
Matthew Schultz and Thorsten Joachims · 2003
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Equivalence constants for certain matrix norms
Bao Q. Feng · 2003
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Online and batch learning of pseudo-metrics
Shai Shalev-Shwartz, Yoram Singer, and Andrew Y. Ng · 2004
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Learning Sparse Metrics via Linear Programming
Romer Rosales and Glenn Fung · 2006
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Information-theoretic metric learning
Jason V. Davis, Brian Kulis, Prateek Jain, Suvrit Sra, and Inderjit S. Dhillon · 2007
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Online Metric Learning and Fast Similarity Search
Prateek Jain, Brian Kulis, Inderjit S. Dhillon, and Kristen Grauman · 2008
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Distance Metric Learning for Large Margin Nearest Neighbor Classification
Kilian Q. Weinberger and Lawrence K. Saul · 2009
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Sparse Metric Learning via Smooth Optimization
Yiming Ying, Kaizhu Huang, and Colin Campbell · 2009
Cited alongside, same era.
An Online Algorithm for Large Scale Image Similarity Learning
Gal Chechik, Uri Shalit, Varun Sharma, and Samy Bengio · 2009
Cited alongside, same era.
Regularized Distance Metric Learning: Theory and Algorithm
Rong Jin, Shijun Wang, and Yang Zhou · 2009
Cited alongside, same era.
An Efficient Sparse Metric Learning in High-Dimensional Space via l1-Penalized Log-Determinant Regularization
Guo-Jun Qi, Jinhui Tang, Zheng-Jun Zha, Tat-Seng Chua, and Hong-Jiang Zhang · 2009
Cited alongside, same era.
Robust Optimization
Aharon Ben-Tal, Laurent El Ghaoui, and Arkadi Nemirovski · 2009
Cited alongside, same era.
Metric Learning to Rank
Brian McFee and Gert R. G. Lanckriet · 2010
Cited alongside, same era.
Metric Learning: A Survey
Brian Kulis · 2012
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Similarity Learning for Provably Accurate Sparse Linear Classification
Aurélien Bellet, Amaury Habrard, and Marc Sebban · 2012
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Generalization Bounds for Online Learning Algorithms with Pairwise Loss Functions
Yuyang Wang, Roni Khardon, Dmitry Pechyony, and Rosie Jones · 2012
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Constrained Empirical Risk Minimization Framework for Distance Metric Learning
Wei Bian and Dacheng Tao · 2012
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Sparse Algorithms Are Not Stable: A No-Free-Lunch Theorem
Huan Xu, Constantine Caramanis, and Shie Mannor · 2012
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Generalization Bounds for Metric and Similarity Learning
Qiong Cao, Zheng-Chu Guo, and Yiming Ying · 2012
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Generalized Cosine and Similarity Metrics: A supervised learning approach based on nearest-neighbors
A. M. Qamar · 2010
Cited alongside, same era.
Robustness and Generalization
Huan Xu and Shie Mannor · 2010
Cited alongside, same era.
Similarity-based Learning via Data Driven Embeddings
Purushottam Kar and Prateek Jain · 2011
Cited alongside, same era.
Learning a Distance Metric by Empirical Loss Minimization
Wei Bian and Dacheng Tao · 2011
Cited alongside, same era.
What you saw is not what you get: Domain adaptation using asymmetric kernel transforms
Brian Kulis, Kate Saenko, and Trevor Darrell · 2011
Cited alongside, same era.
DAML: Domain Adaptation Metric Learning
Bo Geng, Dacheng Tao, and Chao Xu · 2011
Cited alongside, same era.
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Robustness and Generalization
Huan Xu and Shie Mannor · 2012
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Mirror Descent for Metric Learning: A Unified Approach
Gautam Kunapuli and Jude Shavlik · 2012
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Parametric Local Metric Learning for Nearest Neighbor Classification
Jun Wang, Adam Woznica, and Alexandros Kalousis · 2012
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A Survey on Metric Learning for Feature Vectors and Structured Data
A. Bellet, A. Habrard, and M. Sebban · 2013
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Guaranteed Classification via Regularized Similarity Learning
Zheng-Chu Guo and Yiming Ying · 2014
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Sparse Compositional Metric Learning
Yuan Shi, Aurélien Bellet, and Fei Sha · 2014
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