  We introduce a nonlinear, nonhierarchical generalization of Derrida's GREM
and establish through a Sanov-type large deviation analysis both a
Boltzmann-Gibbs principle as well as a Parisi formula for the limiting free
energy. In line with the predictions of the Parisi theory, the free energy is
given by the minimal value over all Parisi functionals/hierarchical structures
in which the original model can be coarse-grained.
