The crowdsourcing scenarios are a good example of having a probability
distribution over some categories showing what the people in a global
perspective thinks. Learn a predictive model of this probability distribution
can be of much more valuable that learn only a discriminative model that gives
the most likely category of the data...
Here we present differents models that
adapts having probability distribution as target to train a machine learning
model. We focus on the Bregman divergences framework to used as objective
function to minimize. The results show that special care must be taken when
build a objective function and consider a equal optimization on neural network
in Keras framework.