Sentence examples for minimum Evolution problem from inspiring English sources

We investigate the Minimum Evolution Problem (MEP), an NP-hard network design problem arising from computational biology.

We study the polyhedral combinatorics of the MEP and investigate its relationships with the Balanced Minimum Evolution Problem.

The balanced minimum evolution problem is to find the unrooted binary tree T with n leaves that minimizes (1) 1 | o (T ) | ∑ (x 1,..., x n ) ∈ o (T ) [ 1 2 ∑ i = 1 n d x i x i + 1 ].

The specific ACO algorithm for the minimum evolution problem (hereafter ACO-ME) that we introduce here (cf. pseudo-code in Figure 2), is a hybrid between the Max-Min Ant System (MMAS) [ 30, 31] and the Approximate Nondeterministic Tree Search (ANTS) [ 32].

More formally, the ME principle can be expressed in terms of the following optimization problem: Problem 1. Minimum Evolution under Least Square (LS) min ⁡ (X, v ) ‖ v ‖ 1 s.

We introduce here an Ant Colony Optimization algorithm (ACO) for the phylogeny estimation problem under the minimum evolution principle and demonstrate the feasibility of this approach.

This module uses both perspectives to consider a number of mathematical approaches, including neighbor-joining, balanced minimum evolution, and singular value decomposition methods, to the problem of recreating the best phylogenetic tree from only the partial data associated to the leaves given by DNA sequence alignments.

Any optimal solution (X*, v*) of problem (1) defines a phylogenetic tree satisfying the minimum evolution principle.

Further, for the construction of phylogenetic trees, the principle of minimum evolution has been considered.

But, and here's the God and evolution problem, mutations are random.

The alternative methods of phylogenetic tree construction, minimum evolution and maximum likelihood, were tested, but the support for the minimum evolution tree was not sufficient (data not shown).