Sentence examples for approximation sets from inspiring English sources
A domain specific performance indicator for 3D Pareto front approximations, the volume above DET surface, is introduced, and used to guide the indicator-based evolutionary algorithm to find optimal approximation sets.
Afterward, the derived modal approximation sets are used to compute global predominant modes by correlation of its temporal coefficients, which yields to a refined global approximation of local and inter-area oscillations, and a model-order reduction removing spurious modes.
Given any two approximation sets X i and X j in the approximation space A ij =(U ij,R), we observe the following properties for the intersection of their approximations [7]: A inf(X i )∩A inf(X j ) =A inf(X i ∩X j ) and A sup(X i )∩A sup(X j )⊇A sup(X i ∩X j ).
This has the effect of making the distributed search evolve, over all nodes, to a high quality approximation set, with minimum communications.
Our results demonstrate how visualization can clarify when an MOEA's search shifts from "translating" the approximation set to "diversifying" its coverage over the extent of the objectives.
Then, we propose a computational approach that leads to a Pareto approximation set by exploiting an adapted version of the Non-dominated Sorting Genetic Algorithm II (NSGA-II) together with General-Purpose computing on Graphics Processing Units (GPGPU).
In each run, each MOEA found an approximation set of solutions named PFapprox.
If the threshold λ is too large, the low approximation set will be empty, while if the threshold λ is too small, the boundary area will be powerless.
The optimum contact time observed was 60 min after which as steady-state approximation set in and a quasi-equilibrium situation was attained (Srivastava et al. 2005).
In the consideration, a methodology which manages multi-objective space efficiently and finds a good approximation set of the Pareto front should be required.
The purpose of this metric is to measure how evenly the points in the approximation set are distributed in the objective space.
