You can probably average the precision recall curve
or use some ranking metrics [1].

Arnaud

[1]  Mining Multi-label Data
http://lkm.fri.uni-lj.si/xaigor/slo/pedagosko/dr-ui/tsoumakas09-dmkdh.pdf

On 19 Jul 2013, at 08:56, Eustache DIEMERT <[email protected]> wrote:

> I'm no expert, but I know this paper which proposes a generalization of the 
> ROC for multiclass:
> 
> [Hand 2001]: A simple generalization of the area under the ROC curve to 
> multiple class classification problems
> 
> HTH
> 
> Eustache
> 
> 
> 2013/7/17 Josh Wasserstein <[email protected]>
> Hi,
> 
> I understand that ROC-AUC is defined for binary classification problems.. But 
> is there an equivalent metric for multi-label problems? i.e. something that 
> does not pick a specific threshold (precision/recall regime) for each label, 
> but that returns instead a summarizing measure of the overall performance 
> (i.e. some statistic that summarizes how the distribution of scores across 
> all labels correlate with the ground truth).
> 
> Also, say that I want to  way to run GridSearchCV to optimize my own metric  
> in a multi-label problem (e.g. the average AUC score across all labels). Does 
> anyone have any pointers to specific steps on how to do this?
> 
> Thanks,
> 
> Josh
> 
> 
> 
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