Beygelzimer, Alina , Langford, John , Lifshits, Yuri , Sorkin, Gregory B. and Strehl, Alex (2009) Conditional probability tree estimation analysis and algorithms. In: Uncertainty in artificial intelligence , 18-21 June 2009, Montreal, QC, Canada.
Abstract
We consider the problem of estimating the conditional probability of a label in time $O(\log n)$, where $n$ is the number of possible labels. We analyze a natural reduction of this problem to a set of binary regression problems organized in a tree structure, proving a regret bound that scales with the depth of the tree. Motivated by this analysis, we propose the first online algorithm which provably constructs a logarithmic depth tree on the set of labels to solve this problem. We test the algorithm empirically, showing that it works succesfully on a dataset with roughly $10^6$ labels.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Official URL: | http://uai.sis.pitt.edu/displayArticles.jsp?mmnu=1... |
| Additional Information: | © 2009 the Authors |
| Library of Congress subject classification: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Sets: | Research centres and groups > Management Science Group Departments > Management |
| Rights: | http://www.lse.ac.uk/library/rights/LSERO.htm |
| URL: | http://eprints.lse.ac.uk/35637/ |
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