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(Neural Computation. 2005;17:145-175.)
© 2005 The MIT Press


Letter

Online Ranking by Projecting

Koby Crammer

kobics{at}cs.huji.ac.il, School of Computer Science and Engineering, Hebrew University, Jerusalem 91904, Israel

Yoram Singer

singer{at}cs.huji.ac.il, School of Computer Science and Engineering, Hebrew University, Jerusalem 91904, Israel

We discuss the problem of ranking instances. In our framework, each instance is associated with a rank or a rating, which is an integer in 1 to k. Our goal is to find a rank-prediction rule that assigns each instance a rank that is as close as possible to the instance's true rank. We discuss a group of closely related online algorithms, analyze their performance in the mistake-bound model, and prove their correctness. We describe two sets of experiments, with synthetic data and with the EachMovie data set for collaborative filtering. In the experiments we performed, our algorithms outperform online algorithms for regression and classification applied to ranking.







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