@inproceedings{c930dbbd3dfa4c6e9f8be865f378384d,

title = "Multi-label prediction via compressed sensing",

abstract = "We consider multi-label prediction problems with large output spaces under the assumption of output sparsity - that the target (label) vectors have small support. We develop a general theory for a variant of the popular error correcting output code scheme, using ideas from compressed sensing for exploiting this sparsity. The method can be regarded as a simple reduction from multi-label regression problems to binary regression problems. We show that the number of subproblems need only be logarithmic in the total number of possible labels, making this approach radically more efficient than others. We also state and prove robustness guarantees for this method in the form of regret transform bounds (in general), and also provide a more detailed analysis for the linear prediction setting.",

author = "Daniel Hsu and Kakade, {Sham M.} and John Langford and Tong Zhang",

year = "2009",

language = "English (US)",

isbn = "9781615679119",

series = "Advances in Neural Information Processing Systems 22 - Proceedings of the 2009 Conference",

publisher = "Neural Information Processing Systems",

pages = "772--780",

booktitle = "Advances in Neural Information Processing Systems 22 - Proceedings of the 2009 Conference",

note = "23rd Annual Conference on Neural Information Processing Systems, NIPS 2009 ; Conference date: 07-12-2009 Through 10-12-2009",

}