2014
DOI: 10.1007/978-3-319-08855-6_50
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Multilabel Prediction with Probability Sets: The Hamming Loss Case

Abstract: In this paper, we study how multilabel predictions can be obtained when our uncertainty is described by a convex set of probabilities. Such predictions, typically consisting of a set of potentially optimal decisions, are hard to make in large decision spaces such as the one considered in multilabel problems. However, we show that when considering the Hamming loss, an approximate prediction can be efficiently computed from label-wise information, as in the precise case. We also perform some first experiments sh… Show more

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Cited by 12 publications
(4 citation statements)
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“…Hamming loss (HL): Hamming-Loss is the fraction of labels that are incorrectly predicted. (Destercke, 2014). Therefore, hamming loss takes into account the prediction of both an incorrect label and a missing label normalized over the total number of classes and the total number of examples.…”
Section: Performance Evaluation Mif1mentioning
confidence: 99%
“…Hamming loss (HL): Hamming-Loss is the fraction of labels that are incorrectly predicted. (Destercke, 2014). Therefore, hamming loss takes into account the prediction of both an incorrect label and a missing label normalized over the total number of classes and the total number of examples.…”
Section: Performance Evaluation Mif1mentioning
confidence: 99%
“…is prediction class, 𝑦 ̂𝑗(𝑖) is actual class, and 𝑦 𝑗 (𝑖) ≠ 𝑦 ̂𝑗(𝑖) is false prediction overall prediction class, in this case, is difference between prediction class and actual class [38].…”
Section: Resultsmentioning
confidence: 99%
“…• Optimal value is zero [118] 38 Fitness (T) [119] - The reader is encouraged to review the cited references for full details on specific metrics.…”
Section: Discussionmentioning
confidence: 99%