4 problems

A generalized Frobenius manifold is a manifold equipped with the generalized Frobenius structure whose Principal Hierarchy and topological deformation are defined by the loop equat…

Equivalence conjecture. Following the analogy with the KP and modified KP hierarchies, these two equations are already equivalent to the whole hierarchy given by the bilinear ident…

Consider the Principal Hierarchy of a special two-dimensional generalized Frobenius manifold and its topological deformation obtained from the loop equation. The Ablowitz--Ladik hi…

Consider the $\ell_0$-based sparse regression problem and an exact reformulation of such $\ell_0$-regularized problems as optimization problems involving convex functions in Boolea…