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Unimodal probability distributions for deep ordinal classification

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Probability distributions produced by the cross-entropy loss for ordinal classification problems can possess undesired properties. We propose a straightforward technique to constrain discrete ordinal probability distributions to be unimodal via the use of the Poisson and binomial probability distributions. We evaluate this approach in the context of deep learning on two large ordinal image datasets, obtaining promising results.

Christopher Beckham, Christopher Pal• 2017

Related benchmarks

TaskDatasetResultRank
Age EstimationAFAD-Lite (test)
MAE3.56
7
ClassificationICIAR (test)
Mean Absolute Error0.6
7
ClassificationHCI (test)
MAE0.71
7
Ordinal RegressionHCI
MAE0.62
5
Ordinal RegressionFG-NET
MAE0.46
5
Ordinal RegressionAdience
MAE0.53
5
Ordinal RegressionRetina MNIST
MAE0.78
5
Ordinal RegressionAAF
MAE0.44
5
Ordinal RegressionAFAD-LITE
MAE0.51
5
Ordinal RegressionEVA
MAE0.63
5
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