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# Label Ranking with Abstention: Predicting Partial Orders by Thresholding Probability Distributions

Published on Jan 24, 20124610 Views

We consider an extension of the setting of label ranking, in which the learner is allowed to make predictions in the form of partial instead of total orders. Predictions of that kind are interpreted a

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#### Chapter list

Label Ranking with Abstention00:00

Label Ranking – An Example -101:04

Label Ranking – An Example -201:38

Label Ranking02:05

Learning with Reject Option02:26

From Total to Partial Order Relations03:03

Partial Orders from Pairwise Comparisons -104:14

Partial Orders from Pairwise Comparisons -205:46

Partial Orders from Pairwise Comparisons -306:00

Partial Orders from Pairwise Comparisons -406:26

Our Ideas & Results07:14

The Plackett-Luce Model -108:10

The Plackett-Luce Model -209:15

The Plackett-Luce Model -309:42

The Plackett-Luce Model -409:52

The Plackett-Luce Model -510:02

The Mallows Model10:16

Some Common Choices of Δ11:45

Transposition Property12:34

Remarks on P (yi > yj)14:08

Our Main Result15:48

Experimental Results16:50

Take-Away Messages18:37

Thank You19:15