Hey, this is interesting. I used to work on a somewhat similar problem. Our problem was more general, but one usecase is to predict the number of interactions between flowers and pollinators, given some initial counts. As these initial counts are obtained manually (by going to the fields, taking pictures and count, like number of bees within a frame), those count numbers are likely to be lower the the actual numbers. We addressed this under-counted issue using low-rankness and Poisson mixture model. Take a look if you're interested: https://ieeexplore.ieee.org/document/10888717