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Measures of ordinal classification error for ordinal regression

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Measures of ordinal classification error

What are good metrics to use to measure the error of ordinal classification?

For example, assume that we have 3 classes "LOW", "MEDIUM", and "HIGH". We should find that if we misclassify "LOW" as "MEDIUM" the error is less than if we misclassify "LOW" as "HIGH".

Are there any metrics that account for this?