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Handling uncertainties in SVM classification
Machine Learning · Submitted 17 Jun 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Based on empirical evidence our method outperforms regular SVM in terms of probability predictions and classification performances.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
This paper addresses the pattern classification problem arising when available target data include some uncertainty information. Target data considered here is either qualitative (a class label) or quantitative (an estimation of the posterior probability). Our main contribution is a SVM inspired formulation of this problem allowing to take into account class label through a hinge loss as well as probability estimates using epsilon-insensitive cost function together with a minimum norm (maximum margin) objective. This formulation shows a dual form leading to a quadratic problem and allows the use of a representer theorem and associated kernel. The solution provided can be used for both decision and posterior probability estimation. Based on empirical evidence our method outperforms regular SVM in terms of probability predictions and classification performances.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | This paper addresses the pattern classification problem arising when available target data include some uncertainty information. | background 1.00 | 0.24 | 0.03 | asserted 0.90 |
| s1 | Target data considered here is either qualitative (a class label) or quantitative (an estimation of the posterior probability). | background 0.81 | 0.16 | 0.02 | asserted 1.00 |
| s2 | Our main contribution is a SVM inspired formulation of this problem allowing to take into account class label through a hinge loss as well as probability estimates using epsilon-insensitive cost function together with a minimum norm (maximum margin) objective. | contribution 0.99 | 0.92 | 0.51 | asserted 1.00 |
| s3 | This formulation shows a dual form leading to a quadratic problem and allows the use of a representer theorem and associated kernel. | method 0.88 | 0.85 | 0.05 | asserted 1.00 |
| s4 | The solution provided can be used for both decision and posterior probability estimation. | contribution 0.41 | 0.76 | 0.10 | asserted 0.98 |
| s5 | Based on empirical evidence our method outperforms regular SVM in terms of probability predictions and classification performances. | result 1.00 | 0.94 | 0.66 | asserted 0.96 |
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The paper
Original abstract
This paper addresses the pattern classification problem arising when available target data include some uncertainty information. Target data considered here is either qualitative (a class label) or quantitative (an estimation of the posterior probability). Our main contribution is a SVM inspired formulation of this problem allowing to take into account class label through a hinge loss as well as probability estimates using epsilon-insensitive cost function together with a minimum norm (maximum margin) objective. This formulation shows a dual form leading to a quadratic problem and allows the use of a representer theorem and associated kernel. The solution provided can be used for both decision and posterior probability estimation. Based on empirical evidence our method outperforms regular SVM in terms of probability predictions and classification performances.
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