In a multi-label classification problem, the training set is composed of instances each can be assigned with multiple categories represented as a set of target labels and the task is to predict the label set of test data e.g.,

A text might be about any of religion, politics, finance or education at the same time or none of these.
A movie can be categorized into action, comedy and romance genre based on its summary content. There is possibility that a movie falls into multiple genres like romcoms [romance & comedy].

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