  We propose a novel model for temporal detection and localization which allows
the training of deep neural networks using only counts of event occurrences as
training labels. This powerful weakly-supervised framework alleviates the
burden of the imprecise and time-consuming process of annotating event
locations in temporal data. Unlike existing methods, in which localization is
explicitly achieved by design, our model learns localization implicitly as a
byproduct of learning to count instances. This unique feature is a direct
consequence of the model's theoretical properties. We validate the
effectiveness of our approach in a number of experiments (drum hit and piano
onset detection in audio, digit detection in images) and demonstrate
performance comparable to that of fully-supervised state-of-the-art methods,
despite much weaker training requirements.
