LATIN_CENTER
Latin Center Datasets


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 values of M and N are specified in the dataset file names.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Related Data and Programs:

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.

Example dataset:

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
      

Reference:

  1. C J Colbourn and J H Dinitz,
    CRC Handbook of Combinatorial Design,
    CRC, 1996.
  2. M D McKay, W J Conover, R J Beckman,
    A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code,
    Technometrics,
    Volume 21, pages 239-245, 1979.
  3. Herbert Ryser,
    Combinatorial Mathematics,
    Mathematical Association of America, 1963.

Sample Datasets:

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.


Last revised on 06 March 2006.