LATIN_CENTER is a dataset directory which contains points generated by the M-dimensional Latin Center Square process.
A Latin square, in M dimensional space, with N points, can be thought of as being constructed by dividing each of the M coordinate dimensions into N equal intervals. The I-th coordinates of the N subsquares are defined by assigning each possible value exactly once to one subsquare. Such a set is called a Latin Square.
If we now select at the center point from each subsquare, we have what we will term a "Latin Center Square".
The datasets are distinguished by the values of the following parameters:
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
LATIN_CENTER, a C++ library which computes elements of a Latin Hypercube dataset, choosing center points.
LATIN_CENTER_DATASET, a FORTRAN90 program which allows a user to define and compute a Latin center dataset
PLOT_POINTS, a FORTRAN90 program which can plot two dimensional datasets, making Encapsulated PostScript images.
TABLE, a data format which is used to store the datasets.
TABLE_TOP, a FORTRAN90 program which can be used to analyze datasets of any dimension, by creating images of pairwise coordinates.
A typical (but small) dataset looks like this:
# latin_center_02_00010.txt # created by LATIN_CENTER_DATASET. # # File generated on April 8 2003 10:47:39.811 AM # # Spatial dimension M = 2 # Number of points N = 10 # Initial seed for UNIFORM = 123456789 # 0.250000 0.050000 0.950000 0.550000 0.850000 0.150000 0.650000 0.850000 0.350000 0.350000 0.550000 0.250000 0.750000 0.950000 0.450000 0.450000 0.050000 0.750000 0.150000 0.650000
Datasets in M = 2 dimensions include:
Datasets in M = 7 dimensions include:
Datasets in M = 16 dimensions include:
You can go up one level to the DATASETS directory.