Before revision:  The improved gradient-based local learning rule allows for significantly better and stable generalization and more efficient performance. We finally apply our model to a problem of multiple instance learning  with counting where labels are only available for collections of concepts.
After revision:  The improved gradient-based local learning rule allows for significantly better and stable generalization . We also show that with its improved capabilities it can count weakly labeled concepts by applying our model to a problem of multiple instance learning with counting where labels are only available for collections of concepts.