2pm, Tuesday, 25 Apr 2006, in Meyer 1024:
Supervised Ranking With L_p Norms

Cynthia Rudin
LCV

The problem of supervised ranking is useful in many application domains, e.g., natural language processing, customer service routing, and bioinformatics. Many of these domains require the construction of a ranked list, yet often, only the top portion of the list is used in practice. In this work, our goal is to design supervised ranking algorithms that perform especially well near the top of the ranked list.

First, I'll provide a general form of convex objective that gives high- scoring examples more importance. This "push" near the top of the list can be chosen to be arbitrarily large or small; L_p-norms are used to provide a specific type of push. I will then derive a corresponding boosting-style algorithm (the "P-Norm Push Algorithm"), and illustrate the usefulness of the algorithm through experiments on publicly available repository data. Finally, I will present a generalization bound based on the p-norm objective (with a brief proof outline), and a theorem stating that the algorithm's objective is unique in a specific sense.

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