  This paper focuses on the problem of finding a distribution for an associated
entropic vector in the entropy space nearest to a given, possibly non-entropic,
target vector for random variables with a constraint on alphabet size. We show
the feasibility to find distribution for associated vector via a sequence of
perturbations in the probability mass function. Then we present an algorithm
for numerically solving the problem together with extensions, applications, and
comparison with the known results.
