Ranking the best instances

Mathematics – Statistics Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

29 pages

Scientific paper

We formulate the local ranking problem in the framework of bipartite ranking where the goal is to focus on the best instances. We propose a methodology based on the construction of real-valued scoring functions. We study empirical risk minimization of dedicated statistics which involve empirical quantiles of the scores. We first state the problem of finding the best instances which can be cast as a classification problem with mass constraint. Next, we develop special performance measures for the local ranking problem which extend the Area Under an ROC Curve (AUC/AROC) criterion and describe the optimal elements of these new criteria. We also highlight the fact that the goal of ranking the best instances cannot be achieved in a stage-wise manner where first, the best instances would be tentatively identified and then a standard AUC criterion could be applied. Eventually, we state preliminary statistical results for the local ranking problem.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Ranking the best instances does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ranking the best instances, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ranking the best instances will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-297448

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.