  One of the biggest challenges in the field of biomedical imaging is the
comprehension and the exploitation of the photon scattering through disordered
media. Many studies have pursued the solution to this puzzle, achieving
light-focusing control or reconstructing images in complex media. In the
present work, we investigate how statistical inference helps the calculation of
the transmission matrix in a complex scrambling environment, enabling its usage
like a normal optical element. We convert a linear input-output transmission
problem into a statistical formulation based on pseudolikelihood maximization,
learning the coupling matrix via random sampling of intensity realizations. Our
aim is to uncover insights from the scattering problem, encouraging the
development of novel imaging techniques for better medical investigations,
borrowing a number of statistical tools from spin-glass theory.
