cover.design大家知道怎么用么,怎么用 cover.design定义x1,x2 满足n = 15 points in p = 2 dimensions subject to the constraint x1 + x2 < 1.5, for 0 ≤ x1, x2, ≤ 1. ????
详情:
The function cover.design (available from the fields package) can be used to find space-filling designs in R.
This package finds designs that provide good “coverage” of the design space (an even spread of points), related to the “minimax” and “maximin” criteria (Two popular criteria for finding space-filling designs are: 1. maximin criterion: choose a design that maximises the minimum distance between any two design points (spreading out the design points). 2. minimax criterion: choose a design that minimises the maximum distance between any point in the input space and the design (covering the input space). Both criteria require numerical optimisation. Minimax designs tend to be much harder to find than maximin designs.)
. Read the help file to find out more.
(a) Use cover.design to find a space-filling design with n = 15 points in p = 2 dimensions subject to the constraint x1 + x2 < 1.5, for 0 ≤ x1, x2, ≤ 1.
第一题就不会,怎么才能使得x1 + x2 < 1.5呢??
[Define a candidate list that satisfies this constraint, and then find the optimal space-filling design from this list.]
(b) Plot the candidate list you used, and add the points from the optimal design to this plot. [2 marks]
(c) Using cover.design, find the 10 optimal points that should be added to your original design to produce a space-filling design with n = 25. Add these points to your plot.