Phylogenies without Branch Bounds: Contracting the Short, Pruning the   Deep
  We introduce a new phylogenetic reconstruction algorithm which, unlike most previous rigorous inference techniques, does not rely on assumptions regarding the branch lengths or the depth of the tree. The algorithm returns a forest which is guaranteed to contain all edges that are: 1) sufficiently long and 2) sufficiently close to the leaves. How much of the true tree is recovered depends on the sequence length provided. The algorithm is distance-based and runs in polynomial time. 
Constantinos Daskalakis, Elchanan Mossel, Sebastien Roch