Large-Margin Thresholded Ensembles for Ordinal Regression

author:Hsuan-Tien Lin, Learning Systems Group, California Institute of Technology
published: Feb. 25, 2007,   recorded: July 2006,   views: 143
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Slides

Slides
0:05 Large-Margin Thresholded Ensembles for Ordinal Regression
0:44 Reduction Method
1:21 Reduction Method01
1:53 Reduction Method02
2:16 Reduction Method03
2:24 Ordinal Regression
2:39 Ordinal Regression01
2:45 Ordinal Regression02
2:51 Ordinal Regression03
2:57 Ordinal Regression04
3:05 Ordinal Regression05
3:14 Ordinal Regression06
3:21 Ordinal Regression07
3:28 Ordinal Regression08
3:40 Ordinal Regression09
3:56 Ordinal Regression10
4:08 Properties of Ordinal Regression
4:30 Properties of Ordinal Regression01
4:49 Properties of Ordinal Regression02
5:07 Properties of Ordinal Regression03
5:22 Properties of Ordinal Regression04
5:35 Thresholded Model for Ordinal Regression
6:00 Thresholded Model for Ordinal Regression01
6:18 Thresholded Model for Ordinal Regression02
6:31 Thresholded Model for Ordinal Regression03
7:10 Thresholded Model for Ordinal Regression04
7:36 Thresholded Ensemble Model
7:54 Thresholded Ensemble Model01
8:05 Thresholded Ensemble Model02
8:19 Thresholded Ensemble Model03
8:30 Thresholded Ensemble Model04
8:39 Thresholded Ensemble Model05
8:48 Margins of Thresholded Ensembles
9:15 Margins of Thresholded Ensembles01
9:30 Margins of Thresholded Ensembles02
9:53 Theoretical Reduction
10:41 Theoretical Reduction01
11:19 Theoretical Reduction02
11:44 Theoretical Reduction03
11:51 Algorithmic Reduction
12:32 Algorithmic Reduction01
12:54 Algorithmic Reduction02
13:00 Advantages of ORBoost
13:16 Advantages of ORBoost01
13:43 Advantages of ORBoost02
13:51 Advantages of ORBoost03
13:59 ORBoost Experiments
14:57 ORBoost Experiments01
15:41 ORBoost Experiments02
15:49 Conclusion
16:11 Conclusion01
16:25 Conclusion02
16:36 Conclusion03

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Description

We propose a thresholded ensemble model for ordinal regression problems. The model consists of a weighted ensemble of confidence functions and an ordered vector of thresholds. Using such a model, we could theoretically and algorithmically reduce ordinal regression problems to binary classification problems in the area of ensemble learning. Based on the reduction, we derive novel large-margin bounds of common error functions, such as the classification error and the absolute error. In addition, we also design two novel boosting approaches for constructing thresholded ensembles. Both our approaches have comparable performance to the state-of-the-art algorithms, but enjoy the benefit of faster training. Experimental results on benchmark datasets demonstrate the usefulness of our boosting approaches.

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