Energetic lattice for optimizing over hierarchies of partitions
Jean Serra, Bangalore Ravi Kiran · 2014
This theoretical paper introduces a novel continuous representation of hierarchy of partitions, and generalizes the conditions of h-increasingness and scale increasingness [1] to obtain a global-local optimum on the hierarchy. It studies in particular the Lagrange optimization problem and gives the condition on the energy to achieve constrained optimization, in the lattice of cuts in the hierarchy.