TL;DR For a multiclass problem, is Jaccard score the same as accuracy?
Update March 29, 2019
The wrong implementation in scikit-learn is now fixed with pull request #13151. Hooray!
P.S. The lesson here is that no matter how mature and widespread the library, framework or idea is, there are always bugs and shortcomings in them. It is up to you as an engineer, scientist or student to verify the theory and practical results of your work, especially if you rely on someone else's results.
I am working on classification problem and calculating accuracy and Jaccard score with scikit-learn which, I think, is a widely used library in pythonic scientific world. However, me and my matlab colleagues obtain different results.
sklearn.metrics.jaccard_similarity_score declares the following:
Notes: In binary and multiclass classification, this function is equivalent to the accuracy_score. It differs in the multilabel classification problem.
Notes In binary and multiclass classification, this function is equal to the jaccard_similarity_score function.
jaccard_similarity_score implementation falls back to accuracy if problem is not of multilabel type:
score = y_true == y_pred
return _weighted_sum(score, sample_weight, normalize)
Isn't it contradicts the definition of Jaccard index (intersection over union)? Are these "score" and "index" different metrics? What is the correct and commonly accepted way to calculate Jaccard metrics for a multiclass problem?