We show that the Balanced Minimum Evolution Problem (BMEP) is a cross-entropy minimization problem. This new perspective both extends the previous interpretations of the BMEP length function described in the literature and enables the identification of an efficiently computable family of lower bounds on the value of the optimal solution to the problem.
Catanzaro, D., Frohn, M., & Pesenti, R. (2020). An information theory perspective on the balanced minimum evolution problem. Operations Research Letters, 48(3), 362-367. https://doi.org/10.1016/j.orl.2020.04.010 (Original work published 2020)